TSTP Solution File: GEG020^1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GEG020^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 06:03:03 EDT 2024
% Result : Theorem 0.23s 0.56s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEG020^1 : TPTP v8.2.0. Released v4.1.0.
% 0.04/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 12:08:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.36 This is a TH0_THM_EQU_NAR problem
% 0.21/0.36 Running higher-order theorem proving
% 0.21/0.36 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.21/0.38 % (2607)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.38 % (2610)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38 % (2609)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.21/0.38 % (2608)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.38 % (2611)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.39 % (2612)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.21/0.39 % (2613)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.39 % (2610)Instruction limit reached!
% 0.21/0.39 % (2610)------------------------------
% 0.21/0.39 % (2610)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (2610)Termination reason: Unknown
% 0.21/0.39 % (2610)Termination phase: shuffling
% 0.21/0.39 % (2611)Instruction limit reached!
% 0.21/0.39 % (2611)------------------------------
% 0.21/0.39 % (2611)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (2611)Termination reason: Unknown
% 0.21/0.39 % (2611)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (2611)Memory used [KB]: 1023
% 0.21/0.39 % (2611)Time elapsed: 0.004 s
% 0.21/0.39 % (2611)Instructions burned: 3 (million)
% 0.21/0.39 % (2611)------------------------------
% 0.21/0.39 % (2611)------------------------------
% 0.21/0.39
% 0.21/0.39 % (2610)Memory used [KB]: 1023
% 0.21/0.39 % (2610)Time elapsed: 0.004 s
% 0.21/0.39 % (2610)Instructions burned: 2 (million)
% 0.21/0.39 % (2610)------------------------------
% 0.21/0.39 % (2610)------------------------------
% 0.21/0.39 % (2608)Instruction limit reached!
% 0.21/0.39 % (2608)------------------------------
% 0.21/0.39 % (2608)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (2608)Termination reason: Unknown
% 0.21/0.39 % (2608)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (2608)Memory used [KB]: 1151
% 0.21/0.39 % (2608)Time elapsed: 0.004 s
% 0.21/0.39 % (2608)Instructions burned: 4 (million)
% 0.21/0.39 % (2608)------------------------------
% 0.21/0.39 % (2608)------------------------------
% 0.21/0.39 % (2613)Instruction limit reached!
% 0.21/0.39 % (2613)------------------------------
% 0.21/0.39 % (2613)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (2613)Termination reason: Unknown
% 0.21/0.39 % (2613)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (2613)Memory used [KB]: 5628
% 0.21/0.39 % (2613)Time elapsed: 0.011 s
% 0.21/0.39 % (2613)Instructions burned: 18 (million)
% 0.21/0.39 % (2613)------------------------------
% 0.21/0.39 % (2613)------------------------------
% 0.21/0.40 % (2609)Instruction limit reached!
% 0.21/0.40 % (2609)------------------------------
% 0.21/0.40 % (2609)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (2609)Termination reason: Unknown
% 0.21/0.40 % (2609)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (2609)Memory used [KB]: 5756
% 0.21/0.40 % (2609)Time elapsed: 0.016 s
% 0.21/0.40 % (2609)Instructions burned: 28 (million)
% 0.21/0.40 % (2609)------------------------------
% 0.21/0.40 % (2609)------------------------------
% 0.21/0.40 % (2614)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40 % (2615)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.40 % (2616)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.40 % (2614)Instruction limit reached!
% 0.21/0.40 % (2614)------------------------------
% 0.21/0.40 % (2614)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (2614)Termination reason: Unknown
% 0.21/0.40 % (2614)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (2614)Memory used [KB]: 1023
% 0.21/0.40 % (2614)Time elapsed: 0.004 s
% 0.21/0.40 % (2614)Instructions burned: 3 (million)
% 0.21/0.40 % (2614)------------------------------
% 0.21/0.40 % (2614)------------------------------
% 0.21/0.41 % (2617)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (2616)Instruction limit reached!
% 0.21/0.41 % (2616)------------------------------
% 0.21/0.41 % (2616)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (2616)Termination reason: Unknown
% 0.21/0.41 % (2616)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (2616)Memory used [KB]: 1151
% 0.21/0.41 % (2616)Time elapsed: 0.010 s
% 0.21/0.41 % (2616)Instructions burned: 15 (million)
% 0.21/0.41 % (2616)------------------------------
% 0.21/0.41 % (2616)------------------------------
% 0.21/0.41 % (2617)Instruction limit reached!
% 0.21/0.41 % (2617)------------------------------
% 0.21/0.41 % (2617)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (2617)Termination reason: Unknown
% 0.21/0.41 % (2617)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (2617)Memory used [KB]: 1023
% 0.21/0.41 % (2617)Time elapsed: 0.004 s
% 0.21/0.41 % (2617)Instructions burned: 3 (million)
% 0.21/0.41 % (2617)------------------------------
% 0.21/0.41 % (2617)------------------------------
% 0.21/0.42 % (2618)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.42 % (2619)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (2615)Instruction limit reached!
% 0.21/0.42 % (2615)------------------------------
% 0.21/0.42 % (2615)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (2615)Termination reason: Unknown
% 0.21/0.42 % (2615)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (2615)Memory used [KB]: 5884
% 0.21/0.42 % (2615)Time elapsed: 0.023 s
% 0.21/0.42 % (2615)Instructions burned: 37 (million)
% 0.21/0.42 % (2615)------------------------------
% 0.21/0.42 % (2615)------------------------------
% 0.21/0.42 % (2619)Instruction limit reached!
% 0.21/0.42 % (2619)------------------------------
% 0.21/0.42 % (2619)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (2619)Termination reason: Unknown
% 0.21/0.42 % (2619)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (2619)Memory used [KB]: 1151
% 0.21/0.42 % (2619)Time elapsed: 0.006 s
% 0.21/0.42 % (2619)Instructions burned: 7 (million)
% 0.21/0.42 % (2619)------------------------------
% 0.21/0.42 % (2619)------------------------------
% 0.23/0.43 % (2620)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.43 % (2621)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.43 % (2621)Instruction limit reached!
% 0.23/0.43 % (2621)------------------------------
% 0.23/0.43 % (2621)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.43 % (2621)Termination reason: Unknown
% 0.23/0.43 % (2621)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (2621)Memory used [KB]: 1023
% 0.23/0.43 % (2621)Time elapsed: 0.004 s
% 0.23/0.43 % (2621)Instructions burned: 3 (million)
% 0.23/0.43 % (2621)------------------------------
% 0.23/0.43 % (2621)------------------------------
% 0.23/0.44 % (2620)Instruction limit reached!
% 0.23/0.44 % (2620)------------------------------
% 0.23/0.44 % (2620)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.44 % (2620)Termination reason: Unknown
% 0.23/0.44 % (2620)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (2620)Memory used [KB]: 5628
% 0.23/0.44 % (2620)Time elapsed: 0.011 s
% 0.23/0.44 % (2620)Instructions burned: 17 (million)
% 0.23/0.44 % (2620)------------------------------
% 0.23/0.44 % (2620)------------------------------
% 0.23/0.44 % (2622)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.44 % (2623)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.44 % (2622)Instruction limit reached!
% 0.23/0.44 % (2622)------------------------------
% 0.23/0.44 % (2622)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.44 % (2622)Termination reason: Unknown
% 0.23/0.44 % (2622)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (2622)Memory used [KB]: 1023
% 0.23/0.44 % (2622)Time elapsed: 0.004 s
% 0.23/0.44 % (2622)Instructions burned: 3 (million)
% 0.23/0.44 % (2622)------------------------------
% 0.23/0.44 % (2622)------------------------------
% 0.23/0.44 % (2612)Refutation not found, incomplete strategy
% 0.23/0.44 % (2612)------------------------------
% 0.23/0.44 % (2612)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.44 % (2612)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44
% 0.23/0.44
% 0.23/0.44 % (2612)Memory used [KB]: 6012
% 0.23/0.44 % (2612)Time elapsed: 0.057 s
% 0.23/0.44 % (2612)Instructions burned: 85 (million)
% 0.23/0.44 % (2612)------------------------------
% 0.23/0.44 % (2612)------------------------------
% 0.23/0.44 % (2623)Instruction limit reached!
% 0.23/0.44 % (2623)------------------------------
% 0.23/0.44 % (2623)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.44 % (2623)Termination reason: Unknown
% 0.23/0.44 % (2623)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (2623)Memory used [KB]: 1151
% 0.23/0.44 % (2623)Time elapsed: 0.006 s
% 0.23/0.44 % (2623)Instructions burned: 7 (million)
% 0.23/0.44 % (2623)------------------------------
% 0.23/0.44 % (2623)------------------------------
% 0.23/0.45 % (2624)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.45 % (2624)Instruction limit reached!
% 0.23/0.45 % (2624)------------------------------
% 0.23/0.45 % (2624)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.45 % (2624)Termination reason: Unknown
% 0.23/0.45 % (2624)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (2624)Memory used [KB]: 1023
% 0.23/0.45 % (2624)Time elapsed: 0.004 s
% 0.23/0.45 % (2624)Instructions burned: 3 (million)
% 0.23/0.45 % (2624)------------------------------
% 0.23/0.45 % (2624)------------------------------
% 0.23/0.45 % (2625)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.45 % (2625)Instruction limit reached!
% 0.23/0.45 % (2625)------------------------------
% 0.23/0.45 % (2625)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.45 % (2625)Termination reason: Unknown
% 0.23/0.45 % (2625)Termination phase: Property scanning
% 0.23/0.45
% 0.23/0.45 % (2625)Memory used [KB]: 1151
% 0.23/0.45 % (2625)Time elapsed: 0.005 s
% 0.23/0.45 % (2625)Instructions burned: 5 (million)
% 0.23/0.45 % (2625)------------------------------
% 0.23/0.45 % (2625)------------------------------
% 0.23/0.46 % (2626)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.46 % (2627)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.46 % (2628)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.46 % (2629)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.23/0.46 % (2628)Instruction limit reached!
% 0.23/0.46 % (2628)------------------------------
% 0.23/0.46 % (2628)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.46 % (2628)Termination reason: Unknown
% 0.23/0.46 % (2628)Termination phase: Preprocessing 3
% 0.23/0.46
% 0.23/0.46 % (2628)Memory used [KB]: 1151
% 0.23/0.46 % (2628)Time elapsed: 0.006 s
% 0.23/0.46 % (2628)Instructions burned: 7 (million)
% 0.23/0.46 % (2628)------------------------------
% 0.23/0.46 % (2628)------------------------------
% 0.23/0.47 % (2626)Instruction limit reached!
% 0.23/0.47 % (2626)------------------------------
% 0.23/0.47 % (2626)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.47 % (2626)Termination reason: Unknown
% 0.23/0.47 % (2626)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (2626)Memory used [KB]: 5756
% 0.23/0.47 % (2626)Time elapsed: 0.012 s
% 0.23/0.47 % (2626)Instructions burned: 18 (million)
% 0.23/0.47 % (2626)------------------------------
% 0.23/0.47 % (2626)------------------------------
% 0.23/0.47 % (2629)Refutation not found, incomplete strategy
% 0.23/0.47 % (2629)------------------------------
% 0.23/0.47 % (2629)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.47 % (2629)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.47
% 0.23/0.47
% 0.23/0.47 % (2629)Memory used [KB]: 5628
% 0.23/0.47 % (2629)Time elapsed: 0.008 s
% 0.23/0.47 % (2629)Instructions burned: 12 (million)
% 0.23/0.47 % (2629)------------------------------
% 0.23/0.47 % (2629)------------------------------
% 0.23/0.47 % (2630)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.23/0.47 % (2627)Refutation not found, incomplete strategy
% 0.23/0.47 % (2627)------------------------------
% 0.23/0.47 % (2627)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.47 % (2627)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.47
% 0.23/0.47
% 0.23/0.47 % (2627)Memory used [KB]: 5756
% 0.23/0.47 % (2627)Time elapsed: 0.014 s
% 0.23/0.47 % (2627)Instructions burned: 20 (million)
% 0.23/0.47 % (2627)------------------------------
% 0.23/0.47 % (2627)------------------------------
% 0.23/0.48 % (2631)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.48 % (2631)Instruction limit reached!
% 0.23/0.48 % (2631)------------------------------
% 0.23/0.48 % (2631)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.48 % (2631)Termination reason: Unknown
% 0.23/0.48 % (2631)Termination phase: Property scanning
% 0.23/0.48
% 0.23/0.48 % (2631)Memory used [KB]: 1151
% 0.23/0.48 % (2631)Time elapsed: 0.003 s
% 0.23/0.48 % (2633)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.48 % (2631)Instructions burned: 5 (million)
% 0.23/0.48 % (2631)------------------------------
% 0.23/0.48 % (2631)------------------------------
% 0.23/0.48 % (2633)Instruction limit reached!
% 0.23/0.48 % (2633)------------------------------
% 0.23/0.48 % (2633)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.48 % (2634)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.23/0.48 % (2633)Termination reason: Unknown
% 0.23/0.48 % (2633)Termination phase: Property scanning
% 0.23/0.48
% 0.23/0.48 % (2633)Memory used [KB]: 1151
% 0.23/0.48 % (2633)Time elapsed: 0.003 s
% 0.23/0.48 % (2633)Instructions burned: 6 (million)
% 0.23/0.48 % (2633)------------------------------
% 0.23/0.48 % (2633)------------------------------
% 0.23/0.48 % (2630)Instruction limit reached!
% 0.23/0.48 % (2630)------------------------------
% 0.23/0.48 % (2630)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.48 % (2630)Termination reason: Unknown
% 0.23/0.48 % (2630)Termination phase: Saturation
% 0.23/0.48
% 0.23/0.48 % (2630)Memory used [KB]: 5756
% 0.23/0.48 % (2630)Time elapsed: 0.013 s
% 0.23/0.48 % (2630)Instructions burned: 21 (million)
% 0.23/0.48 % (2630)------------------------------
% 0.23/0.48 % (2630)------------------------------
% 0.23/0.48 % (2635)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.23/0.49 % (2636)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.23/0.49 % (2637)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.23/0.49 % (2636)Instruction limit reached!
% 0.23/0.49 % (2636)------------------------------
% 0.23/0.49 % (2636)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.49 % (2636)Termination reason: Unknown
% 0.23/0.49 % (2636)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (2636)Memory used [KB]: 5756
% 0.23/0.49 % (2636)Time elapsed: 0.007 s
% 0.23/0.49 % (2636)Instructions burned: 20 (million)
% 0.23/0.49 % (2636)------------------------------
% 0.23/0.49 % (2636)------------------------------
% 0.23/0.49 % (2607)Instruction limit reached!
% 0.23/0.49 % (2607)------------------------------
% 0.23/0.49 % (2607)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.49 % (2638)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.23/0.49 % (2607)Termination reason: Unknown
% 0.23/0.49 % (2607)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (2607)Memory used [KB]: 7164
% 0.23/0.49 % (2607)Time elapsed: 0.112 s
% 0.23/0.49 % (2607)Instructions burned: 185 (million)
% 0.23/0.49 % (2607)------------------------------
% 0.23/0.49 % (2607)------------------------------
% 0.23/0.50 % (2638)Instruction limit reached!
% 0.23/0.50 % (2638)------------------------------
% 0.23/0.50 % (2638)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.50 % (2638)Termination reason: Unknown
% 0.23/0.50 % (2638)Termination phase: Saturation
% 0.23/0.50
% 0.23/0.50 % (2638)Memory used [KB]: 5628
% 0.23/0.50 % (2638)Time elapsed: 0.008 s
% 0.23/0.50 % (2638)Instructions burned: 17 (million)
% 0.23/0.50 % (2638)------------------------------
% 0.23/0.50 % (2638)------------------------------
% 0.23/0.50 % (2639)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.23/0.50 % (2639)Instruction limit reached!
% 0.23/0.50 % (2639)------------------------------
% 0.23/0.50 % (2639)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.50 % (2639)Termination reason: Unknown
% 0.23/0.50 % (2639)Termination phase: shuffling
% 0.23/0.50
% 0.23/0.50 % (2639)Memory used [KB]: 1151
% 0.23/0.50 % (2639)Time elapsed: 0.003 s
% 0.23/0.50 % (2639)Instructions burned: 4 (million)
% 0.23/0.50 % (2639)------------------------------
% 0.23/0.50 % (2639)------------------------------
% 0.23/0.51 % (2640)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.23/0.51 % (2641)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.23/0.51 % (2642)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.23/0.52 % (2640)Instruction limit reached!
% 0.23/0.52 % (2640)------------------------------
% 0.23/0.52 % (2640)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.52 % (2640)Termination reason: Unknown
% 0.23/0.52 % (2640)Termination phase: Saturation
% 0.23/0.52
% 0.23/0.52 % (2640)Memory used [KB]: 5756
% 0.23/0.52 % (2640)Time elapsed: 0.011 s
% 0.23/0.52 % (2640)Instructions burned: 32 (million)
% 0.23/0.52 % (2640)------------------------------
% 0.23/0.52 % (2640)------------------------------
% 0.23/0.52 % (2643)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.23/0.53 % (2643)Instruction limit reached!
% 0.23/0.53 % (2643)------------------------------
% 0.23/0.53 % (2643)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.53 % (2643)Termination reason: Unknown
% 0.23/0.53 % (2643)Termination phase: shuffling
% 0.23/0.53
% 0.23/0.53 % (2643)Memory used [KB]: 1151
% 0.23/0.53 % (2643)Time elapsed: 0.003 s
% 0.23/0.53 % (2643)Instructions burned: 4 (million)
% 0.23/0.53 % (2643)------------------------------
% 0.23/0.53 % (2643)------------------------------
% 0.23/0.54 % (2644)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.23/0.54 % (2644)Instruction limit reached!
% 0.23/0.54 % (2644)------------------------------
% 0.23/0.54 % (2644)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.54 % (2644)Termination reason: Unknown
% 0.23/0.54 % (2644)Termination phase: Saturation
% 0.23/0.54
% 0.23/0.54 % (2644)Memory used [KB]: 5756
% 0.23/0.54 % (2644)Time elapsed: 0.008 s
% 0.23/0.54 % (2644)Instructions burned: 21 (million)
% 0.23/0.54 % (2644)------------------------------
% 0.23/0.54 % (2644)------------------------------
% 0.23/0.55 % (2642)Instruction limit reached!
% 0.23/0.55 % (2642)------------------------------
% 0.23/0.55 % (2642)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.55 % (2642)Termination reason: Unknown
% 0.23/0.55 % (2642)Termination phase: Saturation
% 0.23/0.55
% 0.23/0.55 % (2642)Memory used [KB]: 6140
% 0.23/0.55 % (2642)Time elapsed: 0.036 s
% 0.23/0.55 % (2642)Instructions burned: 101 (million)
% 0.23/0.55 % (2642)------------------------------
% 0.23/0.55 % (2642)------------------------------
% 0.23/0.55 % (2645)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.23/0.55 % (2618)First to succeed.
% 0.23/0.55 % (2641)Instruction limit reached!
% 0.23/0.55 % (2641)------------------------------
% 0.23/0.55 % (2641)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.55 % (2641)Termination reason: Unknown
% 0.23/0.55 % (2641)Termination phase: Saturation
% 0.23/0.55
% 0.23/0.55 % (2641)Memory used [KB]: 6268
% 0.23/0.55 % (2641)Time elapsed: 0.046 s
% 0.23/0.55 % (2641)Instructions burned: 129 (million)
% 0.23/0.55 % (2641)------------------------------
% 0.23/0.55 % (2641)------------------------------
% 0.23/0.56 % (2646)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.23/0.56 % (2618)Refutation found. Thanks to Tanya!
% 0.23/0.56 % SZS status Theorem for theBenchmark
% 0.23/0.56 % SZS output start Proof for theBenchmark
% 0.23/0.56 thf(type_def_5, type, mu: $tType).
% 0.23/0.56 thf(type_def_7, type, reg: $tType).
% 0.23/0.56 thf(func_def_0, type, mu: $tType).
% 0.23/0.56 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.23/0.56 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_15, type, mtrue: $i > $o).
% 0.23/0.56 thf(func_def_16, type, mfalse: $i > $o).
% 0.23/0.56 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.23/0.56 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.23/0.56 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.23/0.56 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.23/0.56 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.23/0.56 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.23/0.56 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.23/0.56 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.23/0.56 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.23/0.56 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.23/0.56 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.23/0.56 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.23/0.56 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.23/0.56 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.23/0.56 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.23/0.56 thf(func_def_33, type, reg: $tType).
% 0.23/0.56 thf(func_def_34, type, c: reg > reg > $o).
% 0.23/0.56 thf(func_def_35, type, dc: reg > reg > $o).
% 0.23/0.56 thf(func_def_36, type, p: reg > reg > $o).
% 0.23/0.56 thf(func_def_37, type, eq: reg > reg > $o).
% 0.23/0.56 thf(func_def_38, type, o: reg > reg > $o).
% 0.23/0.56 thf(func_def_39, type, po: reg > reg > $o).
% 0.23/0.56 thf(func_def_40, type, ec: reg > reg > $o).
% 0.23/0.56 thf(func_def_41, type, pp: reg > reg > $o).
% 0.23/0.56 thf(func_def_42, type, tpp: reg > reg > $o).
% 0.23/0.56 thf(func_def_43, type, ntpp: reg > reg > $o).
% 0.23/0.56 thf(func_def_44, type, catalunya: reg).
% 0.23/0.56 thf(func_def_45, type, france: reg).
% 0.23/0.56 thf(func_def_46, type, spain: reg).
% 0.23/0.56 thf(func_def_47, type, paris: reg).
% 0.23/0.56 thf(func_def_48, type, a: $i > $i > $o).
% 0.23/0.56 thf(func_def_49, type, fool: $i > $i > $o).
% 0.23/0.56 thf(func_def_66, type, ph1: !>[X0: $tType]:(X0)).
% 0.23/0.56 thf(func_def_67, type, sK2: reg).
% 0.23/0.56 thf(func_def_68, type, sK3: reg).
% 0.23/0.56 thf(func_def_72, type, sK7: reg).
% 0.23/0.56 thf(func_def_73, type, sK8: reg).
% 0.23/0.56 thf(func_def_74, type, sK9: reg).
% 0.23/0.56 thf(func_def_75, type, sK10: reg).
% 0.23/0.56 thf(func_def_76, type, sK11: reg).
% 0.23/0.56 thf(func_def_77, type, sK12: reg).
% 0.23/0.56 thf(func_def_78, type, sK13: reg).
% 0.23/0.56 thf(func_def_79, type, sK14: reg).
% 0.23/0.56 thf(func_def_80, type, sK15: reg).
% 0.23/0.56 thf(func_def_81, type, sK16: $i > $i > $i).
% 0.23/0.56 thf(func_def_82, type, sK17: reg).
% 0.23/0.56 thf(func_def_83, type, sK18: reg).
% 0.23/0.56 thf(func_def_84, type, sK19: reg).
% 0.23/0.56 thf(func_def_85, type, sK20: reg).
% 0.23/0.56 thf(func_def_86, type, sK21: reg).
% 0.23/0.56 thf(f2439,plain,(
% 0.23/0.56 $false),
% 0.23/0.56 inference(avatar_sat_refutation,[],[f296,f377,f410,f733,f976,f2113,f2386,f2436])).
% 0.23/0.56 thf(f2436,plain,(
% 0.23/0.56 ~spl0_5 | ~spl0_8 | ~spl0_13),
% 0.23/0.56 inference(avatar_contradiction_clause,[],[f2435])).
% 0.23/0.56 thf(f2435,plain,(
% 0.23/0.56 $false | (~spl0_5 | ~spl0_8 | ~spl0_13)),
% 0.23/0.56 inference(trivial_inequality_removal,[],[f2434])).
% 0.23/0.56 thf(f2434,plain,(
% 0.23/0.56 ($true = $false) | (~spl0_5 | ~spl0_8 | ~spl0_13)),
% 0.23/0.56 inference(backward_demodulation,[],[f2418,f2430])).
% 0.23/0.56 thf(f2430,plain,(
% 0.23/0.56 ((c @ sK12 @ paris) = $false) | (~spl0_5 | ~spl0_8 | ~spl0_13)),
% 0.23/0.56 inference(trivial_inequality_removal,[],[f2421])).
% 0.23/0.56 thf(f2421,plain,(
% 0.23/0.56 ($true = $false) | ((c @ sK12 @ paris) = $false) | (~spl0_5 | ~spl0_8 | ~spl0_13)),
% 0.23/0.56 inference(superposition,[],[f447,f2406])).
% 0.23/0.56 thf(f2406,plain,(
% 0.23/0.56 ((c @ sK12 @ france) = $false) | (~spl0_8 | ~spl0_13)),
% 0.23/0.56 inference(boolean_simplification,[],[f2404])).
% 0.23/0.56 thf(f2404,plain,(
% 0.23/0.56 (($true => (c @ sK12 @ france)) = $false) | (~spl0_8 | ~spl0_13)),
% 0.23/0.56 inference(backward_demodulation,[],[f2382,f2399])).
% 0.23/0.56 thf(f2399,plain,(
% 0.23/0.56 ($true = (c @ sK12 @ sK10)) | ~spl0_13),
% 0.23/0.56 inference(not_proxy_clausification,[],[f975])).
% 0.23/0.56 thf(f975,plain,(
% 0.23/0.56 ((~ (c @ sK12 @ sK10)) = $false) | ~spl0_13),
% 0.23/0.56 inference(avatar_component_clause,[],[f974])).
% 0.23/0.56 thf(f974,plain,(
% 0.23/0.56 spl0_13 <=> ((~ (c @ sK12 @ sK10)) = $false)),
% 0.23/0.56 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
% 0.23/0.56 thf(f2382,plain,(
% 0.23/0.56 (((c @ sK12 @ sK10) => (c @ sK12 @ france)) = $false) | ~spl0_8),
% 0.23/0.56 inference(beta_eta_normalization,[],[f2377])).
% 0.23/0.56 thf(f2377,plain,(
% 0.23/0.56 (((^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ france))) @ sK12) = $false) | ~spl0_8),
% 0.23/0.56 inference(sigma_clausification,[],[f2222])).
% 0.23/0.56 thf(f2222,plain,(
% 0.23/0.56 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ france)))) = $false) | ~spl0_8),
% 0.23/0.56 inference(boolean_simplification,[],[f2220])).
% 0.23/0.56 thf(f2220,plain,(
% 0.23/0.56 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ france))))) = $false) | ~spl0_8),
% 0.23/0.56 inference(superposition,[],[f677,f2138])).
% 0.23/0.56 thf(f2138,plain,(
% 0.23/0.56 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ sK7)))) = $true) | ~spl0_8),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f2130])).
% 0.23/0.56 thf(f2130,plain,(
% 0.23/0.56 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ sK7)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ paris))))) = $true) | ~spl0_8),
% 0.23/0.56 inference(beta_eta_normalization,[],[f2125])).
% 0.23/0.56 thf(f2125,plain,(
% 0.23/0.56 (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) @ sK10) = $true) | ~spl0_8),
% 0.23/0.56 inference(sigma_clausification,[],[f729])).
% 0.23/0.56 thf(f729,plain,(
% 0.23/0.56 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) = $true) | ~spl0_8),
% 0.23/0.56 inference(avatar_component_clause,[],[f728])).
% 0.23/0.56 thf(f728,plain,(
% 0.23/0.56 spl0_8 <=> ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) = $true)),
% 0.23/0.56 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.23/0.56 thf(f677,plain,(
% 0.23/0.56 ( ! [X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK7)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ france))))) = $false)) )),
% 0.23/0.56 inference(beta_eta_normalization,[],[f676])).
% 0.23/0.56 thf(f676,plain,(
% 0.23/0.56 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))) @ X1) = $false)) )),
% 0.23/0.56 inference(pi_clausification,[],[f568])).
% 0.23/0.56 thf(f568,plain,(
% 0.23/0.56 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))) = $false)),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f565])).
% 0.23/0.56 thf(f565,plain,(
% 0.23/0.56 (((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))) | (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france)))))))) = $false)),
% 0.23/0.56 inference(boolean_simplification,[],[f564])).
% 0.23/0.56 thf(f564,plain,(
% 0.23/0.56 (($true => ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))) | (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) = $false)),
% 0.23/0.56 inference(backward_demodulation,[],[f558,f563])).
% 0.23/0.56 thf(f563,plain,(
% 0.23/0.56 ($true = ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) | (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))))),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f558])).
% 0.23/0.56 thf(f558,plain,(
% 0.23/0.56 ((((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) | (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))))) => ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))) | (?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ france))))))))) = $false)),
% 0.23/0.56 inference(beta_eta_normalization,[],[f557])).
% 0.23/0.56 thf(f557,plain,(
% 0.23/0.56 ($false = ((^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))))) @ sK7))),
% 0.23/0.56 inference(sigma_clausification,[],[f465])).
% 0.23/0.56 thf(f465,plain,(
% 0.23/0.56 ((!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))) = $false)),
% 0.23/0.56 inference(boolean_simplification,[],[f464])).
% 0.23/0.56 thf(f464,plain,(
% 0.23/0.56 (($false | (!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))))))) = $false)),
% 0.23/0.56 inference(backward_demodulation,[],[f405,f463])).
% 0.23/0.56 thf(f463,plain,(
% 0.23/0.56 ((~ (a @ sK4 @ sK5)) = $false)),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f405])).
% 0.23/0.56 thf(f405,plain,(
% 0.23/0.56 ($false = ((~ (a @ sK4 @ sK5)) | (!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))))))))),
% 0.23/0.56 inference(beta_eta_normalization,[],[f404])).
% 0.23/0.56 thf(f404,plain,(
% 0.23/0.56 (((^[Y0 : $i]: ((~ (a @ sK4 @ Y0)) | (!! @ reg @ (^[Y1 : reg]: (((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))) | (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) => ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))) | (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))))))) @ sK5) = $false)),
% 0.23/0.56 inference(sigma_clausification,[],[f397])).
% 0.23/0.56 thf(f397,plain,(
% 0.23/0.56 ((!! @ $i @ (^[Y0 : $i]: ((~ (a @ sK4 @ Y0)) | (!! @ reg @ (^[Y1 : reg]: (((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))) | (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris)))))))) => ((?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain))))))) | (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))))))))) = $false)),
% 0.23/0.56 inference(beta_eta_normalization,[],[f396])).
% 0.23/0.56 thf(f396,plain,(
% 0.23/0.56 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: (((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))) | (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) => ((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain))))))) | (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))))))))))) @ sK4) = $false)),
% 0.23/0.56 inference(sigma_clausification,[],[f389])).
% 0.23/0.56 thf(f389,plain,(
% 0.23/0.56 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: (((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))) | (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) => ((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain))))))) | (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))))))))))) = $false)),
% 0.23/0.56 inference(not_proxy_clausification,[],[f221])).
% 0.23/0.56 thf(f221,plain,(
% 0.23/0.56 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (!! @ reg @ (^[Y2 : reg]: (((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))) | (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris)))))))) => ((?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain))))))) | (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))))))))))))) = $true)),
% 0.23/0.56 inference(beta_eta_normalization,[],[f218])).
% 0.23/0.56 thf(f218,plain,(
% 0.23/0.56 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: ((((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y1 @ catalunya) | ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y1 @ paris)) => (((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y1 @ spain) | ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y1 @ france))))))))) = $true)),
% 0.23/0.56 inference(definition_unfolding,[],[f193,f171,f152,f206,f206,f206,f206])).
% 0.23/0.56 thf(f206,plain,(
% 0.23/0.56 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: (!! @ reg @ (^[Y5 : reg]: ((c @ Y5 @ Y3) => (c @ Y5 @ Y4))))))) @ Y2 @ Y1))))))))),
% 0.23/0.56 inference(definition_unfolding,[],[f194,f186,f186])).
% 0.23/0.56 thf(f186,plain,(
% 0.23/0.56 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.23/0.56 inference(cnf_transformation,[],[f61])).
% 0.23/0.56 thf(f61,plain,(
% 0.23/0.56 (p = (^[Y0 : reg]: ((^[Y1 : reg]: (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y0) => (c @ Y2 @ Y1))))))))),
% 0.23/0.56 inference(fool_elimination,[],[f60])).
% 0.23/0.56 thf(f60,plain,(
% 0.23/0.56 (p = (^[X0 : reg, X1 : reg] : (! [X2 : reg] : ((c @ X2 @ X0) => (c @ X2 @ X1)))))),
% 0.23/0.56 inference(rectify,[],[f35])).
% 0.23/0.56 thf(f35,axiom,(
% 0.23/0.56 (p = (^[X0 : reg, X1 : reg] : (! [X11 : reg] : ((c @ X11 @ X0) => (c @ X11 @ X1)))))),
% 0.23/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',p)).
% 0.23/0.56 thf(f194,plain,(
% 0.23/0.56 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 0.23/0.56 inference(cnf_transformation,[],[f65])).
% 0.23/0.56 thf(f65,plain,(
% 0.23/0.56 (o = (^[Y0 : reg]: ((^[Y1 : reg]: (?? @ reg @ (^[Y2 : reg]: ((p @ Y2 @ Y0) & (p @ Y2 @ Y1))))))))),
% 0.23/0.56 inference(fool_elimination,[],[f64])).
% 0.23/0.56 thf(f64,plain,(
% 0.23/0.56 (o = (^[X0 : reg, X1 : reg] : (? [X2 : reg] : ((p @ X2 @ X1) & (p @ X2 @ X0)))))),
% 0.23/0.56 inference(rectify,[],[f37])).
% 0.23/0.56 thf(f37,axiom,(
% 0.23/0.56 (o = (^[X0 : reg, X1 : reg] : (? [X11 : reg] : ((p @ X11 @ X1) & (p @ X11 @ X0)))))),
% 0.23/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',o)).
% 0.23/0.56 thf(f152,plain,(
% 0.23/0.56 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.23/0.56 inference(cnf_transformation,[],[f87])).
% 0.23/0.56 thf(f87,plain,(
% 0.23/0.56 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.23/0.56 inference(fool_elimination,[],[f86])).
% 0.23/0.56 thf(f86,plain,(
% 0.23/0.56 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))) = mbox)),
% 0.23/0.56 inference(rectify,[],[f16])).
% 0.23/0.56 thf(f16,axiom,(
% 0.23/0.56 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))) = mbox)),
% 0.23/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.23/0.56 thf(f171,plain,(
% 0.23/0.56 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.56 inference(cnf_transformation,[],[f103])).
% 0.23/0.56 thf(f103,plain,(
% 0.23/0.56 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.56 inference(fool_elimination,[],[f102])).
% 0.23/0.56 thf(f102,plain,(
% 0.23/0.56 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.23/0.56 inference(rectify,[],[f28])).
% 0.23/0.56 thf(f28,axiom,(
% 0.23/0.56 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.23/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.23/0.56 thf(f193,plain,(
% 0.23/0.56 ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((o @ Y1 @ catalunya) | (o @ Y1 @ paris)) => ((o @ Y1 @ spain) | (o @ Y1 @ france))))))))) = $true)),
% 0.23/0.56 inference(cnf_transformation,[],[f85])).
% 0.23/0.56 thf(f85,plain,(
% 0.23/0.56 ((~ (mvalid @ (mbox @ a @ (^[Y0 : $i]: (!! @ reg @ (^[Y1 : reg]: (((o @ Y1 @ catalunya) | (o @ Y1 @ paris)) => ((o @ Y1 @ spain) | (o @ Y1 @ france))))))))) = $true)),
% 0.23/0.56 inference(fool_elimination,[],[f84])).
% 0.23/0.56 thf(f84,plain,(
% 0.23/0.56 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X1 : reg] : (((o @ X1 @ paris) | (o @ X1 @ catalunya)) => ((o @ X1 @ france) | (o @ X1 @ spain)))))))),
% 0.23/0.56 inference(rectify,[],[f50])).
% 0.23/0.56 thf(f50,negated_conjecture,(
% 0.23/0.56 ~(mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((o @ X11 @ paris) | (o @ X11 @ catalunya)) => ((o @ X11 @ france) | (o @ X11 @ spain)))))))),
% 0.23/0.56 inference(negated_conjecture,[],[f49])).
% 0.23/0.56 thf(f49,conjecture,(
% 0.23/0.56 (mvalid @ (mbox @ a @ (^[X0 : $i] : (! [X11 : reg] : (((o @ X11 @ paris) | (o @ X11 @ catalunya)) => ((o @ X11 @ france) | (o @ X11 @ spain)))))))),
% 0.23/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.23/0.56 thf(f447,plain,(
% 0.23/0.56 ( ! [X1 : reg] : (($true = (c @ X1 @ france)) | ((c @ X1 @ paris) = $false)) ) | ~spl0_5),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f440])).
% 0.23/0.56 thf(f440,plain,(
% 0.23/0.56 ( ! [X1 : reg] : ((((c @ X1 @ paris) => (c @ X1 @ france)) = $true)) ) | ~spl0_5),
% 0.23/0.56 inference(beta_eta_normalization,[],[f437])).
% 0.23/0.56 thf(f437,plain,(
% 0.23/0.56 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))) @ X1) = $true)) ) | ~spl0_5),
% 0.23/0.56 inference(pi_clausification,[],[f432])).
% 0.23/0.56 thf(f432,plain,(
% 0.23/0.56 ($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france))))) | ~spl0_5),
% 0.23/0.56 inference(boolean_simplification,[],[f431])).
% 0.23/0.56 thf(f431,plain,(
% 0.23/0.56 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & $true) = $true) | ~spl0_5),
% 0.23/0.56 inference(backward_demodulation,[],[f422,f429])).
% 0.23/0.56 thf(f429,plain,(
% 0.23/0.56 ((~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris))))) = $true) | ~spl0_5),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f422])).
% 0.23/0.56 thf(f422,plain,(
% 0.23/0.56 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) = $true) | ~spl0_5),
% 0.23/0.56 inference(boolean_simplification,[],[f421])).
% 0.23/0.56 thf(f421,plain,(
% 0.23/0.56 ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & $true) = $true) | ~spl0_5),
% 0.23/0.56 inference(backward_demodulation,[],[f376,f419])).
% 0.23/0.56 thf(f419,plain,(
% 0.23/0.56 ((~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))) = $true) | ~spl0_5),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f376])).
% 0.23/0.56 thf(f376,plain,(
% 0.23/0.56 ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))))))))) = $true) | ~spl0_5),
% 0.23/0.56 inference(avatar_component_clause,[],[f375])).
% 0.23/0.56 thf(f375,plain,(
% 0.23/0.56 spl0_5 <=> ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))))))))) = $true)),
% 0.23/0.56 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.23/0.56 thf(f2418,plain,(
% 0.23/0.56 ((c @ sK12 @ paris) = $true) | (~spl0_8 | ~spl0_13)),
% 0.23/0.56 inference(boolean_simplification,[],[f2409])).
% 0.23/0.56 thf(f2409,plain,(
% 0.23/0.56 (($true => (c @ sK12 @ paris)) = $true) | (~spl0_8 | ~spl0_13)),
% 0.23/0.56 inference(superposition,[],[f2150,f2399])).
% 0.23/0.56 thf(f2150,plain,(
% 0.23/0.56 ( ! [X1 : reg] : ((((c @ X1 @ sK10) => (c @ X1 @ paris)) = $true)) ) | ~spl0_8),
% 0.23/0.56 inference(beta_eta_normalization,[],[f2149])).
% 0.23/0.56 thf(f2149,plain,(
% 0.23/0.56 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ paris))) @ X1) = $true)) ) | ~spl0_8),
% 0.23/0.56 inference(pi_clausification,[],[f2140])).
% 0.23/0.56 thf(f2140,plain,(
% 0.23/0.56 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ paris)))) = $true) | ~spl0_8),
% 0.23/0.56 inference(boolean_simplification,[],[f2139])).
% 0.23/0.56 thf(f2139,plain,(
% 0.23/0.56 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ paris))))) = $true) | ~spl0_8),
% 0.23/0.56 inference(backward_demodulation,[],[f2130,f2138])).
% 0.23/0.56 thf(f2386,plain,(
% 0.23/0.56 ~spl0_8 | ~spl0_12),
% 0.23/0.56 inference(avatar_contradiction_clause,[],[f2385])).
% 0.23/0.56 thf(f2385,plain,(
% 0.23/0.56 $false | (~spl0_8 | ~spl0_12)),
% 0.23/0.56 inference(trivial_inequality_removal,[],[f2384])).
% 0.23/0.56 thf(f2384,plain,(
% 0.23/0.56 ($true = $false) | (~spl0_8 | ~spl0_12)),
% 0.23/0.56 inference(boolean_simplification,[],[f2383])).
% 0.23/0.56 thf(f2383,plain,(
% 0.23/0.56 (((c @ sK12 @ sK10) => $true) = $false) | (~spl0_8 | ~spl0_12)),
% 0.23/0.56 inference(forward_demodulation,[],[f2382,f1144])).
% 0.23/0.56 thf(f1144,plain,(
% 0.23/0.56 ($true = (c @ sK12 @ france)) | ~spl0_12),
% 0.23/0.56 inference(boolean_simplification,[],[f1140])).
% 0.23/0.56 thf(f1140,plain,(
% 0.23/0.56 (($true => (c @ sK12 @ france)) = $true) | ~spl0_12),
% 0.23/0.56 inference(superposition,[],[f231,f972])).
% 0.23/0.56 thf(f972,plain,(
% 0.23/0.56 ((c @ france @ sK12) = $true) | ~spl0_12),
% 0.23/0.56 inference(avatar_component_clause,[],[f971])).
% 0.23/0.56 thf(f971,plain,(
% 0.23/0.56 spl0_12 <=> ((c @ france @ sK12) = $true)),
% 0.23/0.56 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 0.23/0.56 thf(f231,plain,(
% 0.23/0.56 ( ! [X2 : reg,X1 : reg] : ((((c @ X2 @ X1) => (c @ X1 @ X2)) = $true)) )),
% 0.23/0.56 inference(beta_eta_normalization,[],[f230])).
% 0.23/0.56 thf(f230,plain,(
% 0.23/0.56 ( ! [X2 : reg,X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ X1 @ Y0))) @ X2))) )),
% 0.23/0.56 inference(pi_clausification,[],[f229])).
% 0.23/0.56 thf(f229,plain,(
% 0.23/0.56 ( ! [X1 : reg] : (($true = (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ X1 @ Y0)))))) )),
% 0.23/0.56 inference(beta_eta_normalization,[],[f228])).
% 0.23/0.56 thf(f228,plain,(
% 0.23/0.56 ( ! [X1 : reg] : ((((^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1))))) @ X1) = $true)) )),
% 0.23/0.56 inference(pi_clausification,[],[f175])).
% 0.23/0.56 thf(f175,plain,(
% 0.23/0.56 ((!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1)))))) = $true)),
% 0.23/0.56 inference(cnf_transformation,[],[f95])).
% 0.23/0.56 thf(f95,plain,(
% 0.23/0.56 ((!! @ reg @ (^[Y0 : reg]: (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y0 @ Y1)))))) = $true)),
% 0.23/0.56 inference(fool_elimination,[],[f94])).
% 0.23/0.56 thf(f94,plain,(
% 0.23/0.56 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
% 0.23/0.56 inference(rectify,[],[f33])).
% 0.23/0.56 thf(f33,axiom,(
% 0.23/0.56 ! [X0 : reg,X1 : reg] : ((c @ X0 @ X1) => (c @ X1 @ X0))),
% 0.23/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_symmetric)).
% 0.23/0.56 thf(f2113,plain,(
% 0.23/0.56 ~spl0_3 | ~spl0_9),
% 0.23/0.56 inference(avatar_contradiction_clause,[],[f2112])).
% 0.23/0.56 thf(f2112,plain,(
% 0.23/0.56 $false | (~spl0_3 | ~spl0_9)),
% 0.23/0.56 inference(trivial_inequality_removal,[],[f2111])).
% 0.23/0.56 thf(f2111,plain,(
% 0.23/0.56 ($true = $false) | (~spl0_3 | ~spl0_9)),
% 0.23/0.56 inference(boolean_simplification,[],[f2110])).
% 0.23/0.56 thf(f2110,plain,(
% 0.23/0.56 ((~ $true) = $true) | (~spl0_3 | ~spl0_9)),
% 0.23/0.56 inference(backward_demodulation,[],[f2097,f2107])).
% 0.23/0.56 thf(f2107,plain,(
% 0.23/0.56 ((c @ sK14 @ catalunya) = $true) | ~spl0_9),
% 0.23/0.56 inference(boolean_simplification,[],[f2099])).
% 0.23/0.56 thf(f2099,plain,(
% 0.23/0.56 (($true => (c @ sK14 @ catalunya)) = $true) | ~spl0_9),
% 0.23/0.56 inference(superposition,[],[f1915,f2033])).
% 0.23/0.56 thf(f2033,plain,(
% 0.23/0.56 ((c @ sK14 @ sK13) = $true) | ~spl0_9),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f2018])).
% 0.23/0.56 thf(f2018,plain,(
% 0.23/0.56 (((c @ sK14 @ sK13) => (c @ sK14 @ spain)) = $false) | ~spl0_9),
% 0.23/0.56 inference(beta_eta_normalization,[],[f2012])).
% 0.23/0.56 thf(f2012,plain,(
% 0.23/0.56 (((^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ spain))) @ sK14) = $false) | ~spl0_9),
% 0.23/0.56 inference(sigma_clausification,[],[f1880])).
% 0.23/0.56 thf(f1880,plain,(
% 0.23/0.56 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ spain)))) = $false) | ~spl0_9),
% 0.23/0.56 inference(boolean_simplification,[],[f1876])).
% 0.23/0.56 thf(f1876,plain,(
% 0.23/0.56 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ spain))))) = $false) | ~spl0_9),
% 0.23/0.56 inference(superposition,[],[f578,f1864])).
% 0.23/0.56 thf(f1864,plain,(
% 0.23/0.56 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ sK7)))) = $true) | ~spl0_9),
% 0.23/0.56 inference(boolean_simplification,[],[f1863])).
% 0.23/0.56 thf(f1863,plain,(
% 0.23/0.56 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ sK7)))) & $true) = $true) | ~spl0_9),
% 0.23/0.56 inference(backward_demodulation,[],[f1852,f1861])).
% 0.23/0.56 thf(f1861,plain,(
% 0.23/0.56 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ catalunya)))) = $true) | ~spl0_9),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f1852])).
% 0.23/0.56 thf(f1852,plain,(
% 0.23/0.56 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ sK7)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ catalunya))))) = $true) | ~spl0_9),
% 0.23/0.56 inference(beta_eta_normalization,[],[f1851])).
% 0.23/0.56 thf(f1851,plain,(
% 0.23/0.56 ($true = ((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya)))))) @ sK13)) | ~spl0_9),
% 0.23/0.56 inference(sigma_clausification,[],[f732])).
% 0.23/0.56 thf(f732,plain,(
% 0.23/0.56 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) = $true) | ~spl0_9),
% 0.23/0.56 inference(avatar_component_clause,[],[f731])).
% 0.23/0.56 thf(f731,plain,(
% 0.23/0.56 spl0_9 <=> ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) = $true)),
% 0.23/0.56 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.23/0.56 thf(f578,plain,(
% 0.23/0.56 ( ! [X1 : reg] : ((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ sK7)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ X1) => (c @ Y0 @ spain))))) = $false)) )),
% 0.23/0.56 inference(beta_eta_normalization,[],[f577])).
% 0.23/0.56 thf(f577,plain,(
% 0.23/0.56 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain)))))) @ X1) = $false)) )),
% 0.23/0.56 inference(pi_clausification,[],[f571])).
% 0.23/0.56 thf(f571,plain,(
% 0.23/0.56 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))) = $false)),
% 0.23/0.56 inference(boolean_simplification,[],[f570])).
% 0.23/0.56 thf(f570,plain,(
% 0.23/0.56 (((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ spain))))))) | $false) = $false)),
% 0.23/0.56 inference(backward_demodulation,[],[f565,f568])).
% 0.23/0.56 thf(f1915,plain,(
% 0.23/0.56 ( ! [X1 : reg] : (($true = ((c @ X1 @ sK13) => (c @ X1 @ catalunya)))) ) | ~spl0_9),
% 0.23/0.56 inference(beta_eta_normalization,[],[f1912])).
% 0.23/0.56 thf(f1912,plain,(
% 0.23/0.56 ( ! [X1 : reg] : ((((^[Y0 : reg]: ((c @ Y0 @ sK13) => (c @ Y0 @ catalunya))) @ X1) = $true)) ) | ~spl0_9),
% 0.23/0.56 inference(pi_clausification,[],[f1861])).
% 0.23/0.56 thf(f2097,plain,(
% 0.23/0.56 ((~ (c @ sK14 @ catalunya)) = $true) | (~spl0_3 | ~spl0_9)),
% 0.23/0.56 inference(boolean_simplification,[],[f2092])).
% 0.23/0.56 thf(f2092,plain,(
% 0.23/0.56 (((c @ sK14 @ catalunya) => $false) = $true) | (~spl0_3 | ~spl0_9)),
% 0.23/0.56 inference(superposition,[],[f321,f2032])).
% 0.23/0.56 thf(f2032,plain,(
% 0.23/0.56 ((c @ sK14 @ spain) = $false) | ~spl0_9),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f2018])).
% 0.23/0.56 thf(f321,plain,(
% 0.23/0.56 ( ! [X1 : reg] : ((((c @ X1 @ catalunya) => (c @ X1 @ spain)) = $true)) ) | ~spl0_3),
% 0.23/0.56 inference(beta_eta_normalization,[],[f318])).
% 0.23/0.56 thf(f318,plain,(
% 0.23/0.56 ( ! [X1 : reg] : (($true = ((^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain))) @ X1))) ) | ~spl0_3),
% 0.23/0.56 inference(pi_clausification,[],[f311])).
% 0.23/0.56 thf(f311,plain,(
% 0.23/0.56 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) = $true) | ~spl0_3),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f303])).
% 0.23/0.56 thf(f303,plain,(
% 0.23/0.56 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) = $true) | ~spl0_3),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f292])).
% 0.23/0.56 thf(f292,plain,(
% 0.23/0.56 (((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) = $true) | ~spl0_3),
% 0.23/0.56 inference(avatar_component_clause,[],[f291])).
% 0.23/0.56 thf(f291,plain,(
% 0.23/0.56 spl0_3 <=> (((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) = $true)),
% 0.23/0.56 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.23/0.56 thf(f976,plain,(
% 0.23/0.56 spl0_12 | spl0_13 | ~spl0_8),
% 0.23/0.56 inference(avatar_split_clause,[],[f969,f728,f974,f971])).
% 0.23/0.56 thf(f969,plain,(
% 0.23/0.56 ((~ (c @ sK12 @ sK10)) = $false) | ((c @ france @ sK12) = $true) | ~spl0_8),
% 0.23/0.56 inference(boolean_simplification,[],[f965])).
% 0.23/0.56 thf(f965,plain,(
% 0.23/0.56 (((c @ sK12 @ sK10) => $false) = $false) | ((c @ france @ sK12) = $true) | ~spl0_8),
% 0.23/0.56 inference(superposition,[],[f947,f232])).
% 0.23/0.56 thf(f232,plain,(
% 0.23/0.56 ( ! [X2 : reg,X1 : reg] : (((c @ X2 @ X1) = $false) | ((c @ X1 @ X2) = $true)) )),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f231])).
% 0.23/0.56 thf(f947,plain,(
% 0.23/0.56 (((c @ sK12 @ sK10) => (c @ sK12 @ france)) = $false) | ~spl0_8),
% 0.23/0.56 inference(beta_eta_normalization,[],[f943])).
% 0.23/0.56 thf(f943,plain,(
% 0.23/0.56 (((^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ france))) @ sK12) = $false) | ~spl0_8),
% 0.23/0.56 inference(sigma_clausification,[],[f757])).
% 0.23/0.56 thf(f757,plain,(
% 0.23/0.56 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ france)))) = $false) | ~spl0_8),
% 0.23/0.56 inference(boolean_simplification,[],[f755])).
% 0.23/0.56 thf(f755,plain,(
% 0.23/0.56 (($true & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ france))))) = $false) | ~spl0_8),
% 0.23/0.56 inference(superposition,[],[f677,f752])).
% 0.23/0.56 thf(f752,plain,(
% 0.23/0.56 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ sK7)))) = $true) | ~spl0_8),
% 0.23/0.56 inference(boolean_simplification,[],[f751])).
% 0.23/0.56 thf(f751,plain,(
% 0.23/0.56 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ sK7)))) & $true) = $true) | ~spl0_8),
% 0.23/0.56 inference(backward_demodulation,[],[f742,f749])).
% 0.23/0.56 thf(f749,plain,(
% 0.23/0.56 ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ paris)))) = $true) | ~spl0_8),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f742])).
% 0.23/0.56 thf(f742,plain,(
% 0.23/0.56 (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ sK7)))) & (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ sK10) => (c @ Y0 @ paris))))) = $true) | ~spl0_8),
% 0.23/0.56 inference(beta_eta_normalization,[],[f741])).
% 0.23/0.56 thf(f741,plain,(
% 0.23/0.56 (((^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris)))))) @ sK10) = $true) | ~spl0_8),
% 0.23/0.56 inference(sigma_clausification,[],[f729])).
% 0.23/0.56 thf(f733,plain,(
% 0.23/0.56 spl0_8 | spl0_9),
% 0.23/0.56 inference(avatar_split_clause,[],[f726,f731,f728])).
% 0.23/0.56 thf(f726,plain,(
% 0.23/0.56 ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ paris))))))) = $true) | ((?? @ reg @ (^[Y0 : reg]: ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ sK7)))) & (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ Y0) => (c @ Y1 @ catalunya))))))) = $true)),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f563])).
% 0.23/0.56 thf(f410,plain,(
% 0.23/0.56 ~spl0_4),
% 0.23/0.56 inference(avatar_contradiction_clause,[],[f409])).
% 0.23/0.56 thf(f409,plain,(
% 0.23/0.56 $false | ~spl0_4),
% 0.23/0.56 inference(trivial_inequality_removal,[],[f408])).
% 0.23/0.56 thf(f408,plain,(
% 0.23/0.56 ($true = $false) | ~spl0_4),
% 0.23/0.56 inference(boolean_simplification,[],[f407])).
% 0.23/0.56 thf(f407,plain,(
% 0.23/0.56 (($true | (!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))))))) = $false) | ~spl0_4),
% 0.23/0.56 inference(boolean_simplification,[],[f406])).
% 0.23/0.56 thf(f406,plain,(
% 0.23/0.56 (((~ $false) | (!! @ reg @ (^[Y0 : reg]: (((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris)))))))) => ((?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain))))))) | (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))))))) = $false) | ~spl0_4),
% 0.23/0.56 inference(forward_demodulation,[],[f405,f384])).
% 0.23/0.56 thf(f384,plain,(
% 0.23/0.56 ( ! [X2 : $i,X1 : $i] : (((a @ X1 @ X2) = $false)) ) | ~spl0_4),
% 0.23/0.56 inference(not_proxy_clausification,[],[f295])).
% 0.23/0.56 thf(f295,plain,(
% 0.23/0.56 ( ! [X2 : $i,X1 : $i] : (((~ (a @ X1 @ X2)) = $true)) ) | ~spl0_4),
% 0.23/0.56 inference(avatar_component_clause,[],[f294])).
% 0.23/0.56 thf(f294,plain,(
% 0.23/0.56 spl0_4 <=> ! [X2,X1] : ((~ (a @ X1 @ X2)) = $true)),
% 0.23/0.56 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.23/0.56 thf(f377,plain,(
% 0.23/0.56 spl0_5 | spl0_4),
% 0.23/0.56 inference(avatar_split_clause,[],[f373,f294,f375])).
% 0.23/0.56 thf(f373,plain,(
% 0.23/0.56 ( ! [X2 : $i,X1 : $i] : (((((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france)))))))))))))) = $true) | ((~ (a @ X1 @ X2)) = $true)) )),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f366])).
% 0.23/0.56 thf(f366,plain,(
% 0.23/0.56 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X2)) | (((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ paris) => (c @ Y0 @ france)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ france) => (c @ Y0 @ paris)))))) & (~ (?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ paris) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ paris))))))))) & ((c @ Y0 @ france) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ france))))))))))))))))) )),
% 0.23/0.56 inference(beta_eta_normalization,[],[f365])).
% 0.23/0.56 thf(f365,plain,(
% 0.23/0.56 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))))) & ((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france)))))))))))))))) @ X2))) )),
% 0.23/0.56 inference(pi_clausification,[],[f358])).
% 0.23/0.56 thf(f358,plain,(
% 0.23/0.56 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | (((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ paris) => (c @ Y1 @ france)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ france) => (c @ Y1 @ paris)))))) & (~ (?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ paris) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ paris))))))))) & ((c @ Y1 @ france) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ france))))))))))))))))) = $true)) )),
% 0.23/0.56 inference(beta_eta_normalization,[],[f357])).
% 0.23/0.56 thf(f357,plain,(
% 0.23/0.56 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))))) & ((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france)))))))))))))))))) @ X1) = $true)) )),
% 0.23/0.56 inference(pi_clausification,[],[f223])).
% 0.23/0.56 thf(f223,plain,(
% 0.23/0.56 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | (((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ paris) => (c @ Y2 @ france)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ france) => (c @ Y2 @ paris)))))) & (~ (?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ paris) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ paris))))))))) & ((c @ Y2 @ france) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ france))))))))))))))))))) = $true)),
% 0.23/0.56 inference(beta_eta_normalization,[],[f214])).
% 0.23/0.56 thf(f214,plain,(
% 0.23/0.56 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2) & (~ (?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2))))))))) @ paris @ france)))))),
% 0.23/0.56 inference(definition_unfolding,[],[f166,f171,f152,f211])).
% 0.23/0.56 thf(f211,plain,(
% 0.23/0.56 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1))))))))))),
% 0.23/0.56 inference(definition_unfolding,[],[f192,f209,f208,f208])).
% 0.23/0.56 thf(f208,plain,(
% 0.23/0.56 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (?? @ reg @ (^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y2) & ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3))))))) @ Y0 @ Y1)))))))),
% 0.23/0.56 inference(definition_unfolding,[],[f191,f206])).
% 0.23/0.56 thf(f191,plain,(
% 0.23/0.56 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 0.23/0.56 inference(cnf_transformation,[],[f91])).
% 0.23/0.56 thf(f91,plain,(
% 0.23/0.56 (ec = (^[Y0 : reg]: ((^[Y1 : reg]: ((c @ Y0 @ Y1) & (~ (o @ Y0 @ Y1)))))))),
% 0.23/0.56 inference(fool_elimination,[],[f90])).
% 0.23/0.56 thf(f90,plain,(
% 0.23/0.56 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 0.23/0.56 inference(rectify,[],[f39])).
% 0.23/0.56 thf(f39,axiom,(
% 0.23/0.56 (ec = (^[X0 : reg, X1 : reg] : (~(o @ X0 @ X1) & (c @ X0 @ X1))))),
% 0.23/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec)).
% 0.23/0.56 thf(f209,plain,(
% 0.23/0.56 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: (((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y0 @ Y1) & (~ ((^[Y2 : reg]: ((^[Y3 : reg]: (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y2) => (c @ Y4 @ Y3))))))) @ Y1 @ Y0)))))))),
% 0.23/0.56 inference(definition_unfolding,[],[f157,f186,f186])).
% 0.23/0.56 thf(f157,plain,(
% 0.23/0.56 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 0.23/0.56 inference(cnf_transformation,[],[f131])).
% 0.23/0.56 thf(f131,plain,(
% 0.23/0.56 (pp = (^[Y0 : reg]: ((^[Y1 : reg]: ((p @ Y0 @ Y1) & (~ (p @ Y1 @ Y0)))))))),
% 0.23/0.56 inference(fool_elimination,[],[f130])).
% 0.23/0.56 thf(f130,plain,(
% 0.23/0.56 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
% 0.23/0.56 inference(rectify,[],[f40])).
% 0.23/0.56 thf(f40,axiom,(
% 0.23/0.56 (pp = (^[X0 : reg, X1 : reg] : (~(p @ X1 @ X0) & (p @ X0 @ X1))))),
% 0.23/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pp)).
% 0.23/0.56 thf(f192,plain,(
% 0.23/0.56 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 0.23/0.56 inference(cnf_transformation,[],[f75])).
% 0.23/0.56 thf(f75,plain,(
% 0.23/0.56 (ntpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((pp @ Y0 @ Y1) & (~ (?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1))))))))))),
% 0.23/0.56 inference(fool_elimination,[],[f74])).
% 0.23/0.56 thf(f74,plain,(
% 0.23/0.56 (ntpp = (^[X0 : reg, X1 : reg] : (~? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)) & (pp @ X0 @ X1))))),
% 0.23/0.56 inference(rectify,[],[f42])).
% 0.23/0.56 thf(f42,axiom,(
% 0.23/0.56 (ntpp = (^[X0 : reg, X1 : reg] : (~? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)) & (pp @ X0 @ X1))))),
% 0.23/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ntpp)).
% 0.23/0.56 thf(f166,plain,(
% 0.23/0.56 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
% 0.23/0.56 inference(cnf_transformation,[],[f101])).
% 0.23/0.56 thf(f101,plain,(
% 0.23/0.56 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)))) = $true)),
% 0.23/0.56 inference(fool_elimination,[],[f100])).
% 0.23/0.56 thf(f100,plain,(
% 0.23/0.56 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 0.23/0.56 inference(rectify,[],[f48])).
% 0.23/0.56 thf(f48,axiom,(
% 0.23/0.56 (mvalid @ (mbox @ a @ (^[X0 : $i] : (ntpp @ paris @ france))))),
% 0.23/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)).
% 0.23/0.56 thf(f296,plain,(
% 0.23/0.56 spl0_3 | spl0_4),
% 0.23/0.56 inference(avatar_split_clause,[],[f289,f294,f291])).
% 0.23/0.56 thf(f289,plain,(
% 0.23/0.56 ( ! [X2 : $i,X1 : $i] : ((((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))) = $true) | ((~ (a @ X1 @ X2)) = $true)) )),
% 0.23/0.56 inference(binary_proxy_clausification,[],[f285])).
% 0.23/0.56 thf(f285,plain,(
% 0.23/0.56 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (a @ X1 @ X2)) | ((?? @ reg @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ catalunya))))))))) & ((c @ Y0 @ spain) & (~ (?? @ reg @ (^[Y1 : reg]: ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ Y0)))) & (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ Y1) => (c @ Y2 @ spain)))))))))))) & ((!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))) & (~ (!! @ reg @ (^[Y0 : reg]: ((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))))))) )),
% 0.23/0.56 inference(beta_eta_normalization,[],[f284])).
% 0.23/0.56 thf(f284,plain,(
% 0.23/0.56 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))))) & ((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya))))))))) @ X2) = $true)) )),
% 0.23/0.56 inference(pi_clausification,[],[f279])).
% 0.23/0.56 thf(f279,plain,(
% 0.23/0.56 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (a @ X1 @ Y0)) | ((?? @ reg @ (^[Y1 : reg]: (((c @ Y1 @ catalunya) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ catalunya))))))))) & ((c @ Y1 @ spain) & (~ (?? @ reg @ (^[Y2 : reg]: ((!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ Y1)))) & (!! @ reg @ (^[Y3 : reg]: ((c @ Y3 @ Y2) => (c @ Y3 @ spain)))))))))))) & ((!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ catalunya) => (c @ Y1 @ spain)))) & (~ (!! @ reg @ (^[Y1 : reg]: ((c @ Y1 @ spain) => (c @ Y1 @ catalunya)))))))))))) )),
% 0.23/0.56 inference(beta_eta_normalization,[],[f278])).
% 0.23/0.56 thf(f278,plain,(
% 0.23/0.56 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya))))))))))) @ X1) = $true)) )),
% 0.23/0.56 inference(pi_clausification,[],[f222])).
% 0.23/0.56 thf(f222,plain,(
% 0.23/0.56 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (a @ Y0 @ Y1)) | ((?? @ reg @ (^[Y2 : reg]: (((c @ Y2 @ catalunya) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ catalunya))))))))) & ((c @ Y2 @ spain) & (~ (?? @ reg @ (^[Y3 : reg]: ((!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ Y2)))) & (!! @ reg @ (^[Y4 : reg]: ((c @ Y4 @ Y3) => (c @ Y4 @ spain)))))))))))) & ((!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ catalunya) => (c @ Y2 @ spain)))) & (~ (!! @ reg @ (^[Y2 : reg]: ((c @ Y2 @ spain) => (c @ Y2 @ catalunya)))))))))))) = $true)),
% 0.23/0.56 inference(beta_eta_normalization,[],[f215])).
% 0.23/0.56 thf(f215,plain,(
% 0.23/0.56 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))) @ a @ (^[Y0 : $i]: ((^[Y1 : reg]: ((^[Y2 : reg]: ((?? @ reg @ (^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y1) & ((^[Y4 : reg]: ((^[Y5 : reg]: ((c @ Y4 @ Y5) & (~ ((^[Y6 : reg]: ((^[Y7 : reg]: (?? @ reg @ (^[Y8 : reg]: (((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y6) & ((^[Y9 : reg]: ((^[Y10 : reg]: (!! @ reg @ (^[Y11 : reg]: ((c @ Y11 @ Y9) => (c @ Y11 @ Y10))))))) @ Y8 @ Y7))))))) @ Y4 @ Y5)))))) @ Y3 @ Y2)))) & ((^[Y3 : reg]: ((^[Y4 : reg]: (((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (!! @ reg @ (^[Y7 : reg]: ((c @ Y7 @ Y5) => (c @ Y7 @ Y6))))))) @ Y4 @ Y3)))))) @ Y1 @ Y2))))) @ catalunya @ spain)))) = $true)),
% 0.23/0.56 inference(definition_unfolding,[],[f170,f171,f152,f210])).
% 0.23/0.56 thf(f210,plain,(
% 0.23/0.56 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: (((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y0) & ((^[Y3 : reg]: ((^[Y4 : reg]: ((c @ Y3 @ Y4) & (~ ((^[Y5 : reg]: ((^[Y6 : reg]: (?? @ reg @ (^[Y7 : reg]: (((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y5) & ((^[Y8 : reg]: ((^[Y9 : reg]: (!! @ reg @ (^[Y10 : reg]: ((c @ Y10 @ Y8) => (c @ Y10 @ Y9))))))) @ Y7 @ Y6))))))) @ Y3 @ Y4)))))) @ Y2 @ Y1)))) & ((^[Y2 : reg]: ((^[Y3 : reg]: (((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y2 @ Y3) & (~ ((^[Y4 : reg]: ((^[Y5 : reg]: (!! @ reg @ (^[Y6 : reg]: ((c @ Y6 @ Y4) => (c @ Y6 @ Y5))))))) @ Y3 @ Y2)))))) @ Y0 @ Y1))))))),
% 0.23/0.56 inference(definition_unfolding,[],[f153,f208,f208,f209])).
% 0.23/0.56 thf(f153,plain,(
% 0.23/0.56 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 0.23/0.56 inference(cnf_transformation,[],[f123])).
% 0.23/0.56 thf(f123,plain,(
% 0.23/0.56 (tpp = (^[Y0 : reg]: ((^[Y1 : reg]: ((?? @ reg @ (^[Y2 : reg]: ((ec @ Y2 @ Y0) & (ec @ Y2 @ Y1)))) & (pp @ Y0 @ Y1))))))),
% 0.23/0.56 inference(fool_elimination,[],[f122])).
% 0.23/0.56 thf(f122,plain,(
% 0.23/0.56 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X2 : reg] : ((ec @ X2 @ X1) & (ec @ X2 @ X0)))) = tpp)),
% 0.23/0.56 inference(rectify,[],[f41])).
% 0.23/0.56 thf(f41,axiom,(
% 0.23/0.56 ((^[X0 : reg, X1 : reg] : ((pp @ X0 @ X1) & ? [X11 : reg] : ((ec @ X11 @ X1) & (ec @ X11 @ X0)))) = tpp)),
% 0.23/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tpp)).
% 0.23/0.56 thf(f170,plain,(
% 0.23/0.56 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)),
% 0.23/0.56 inference(cnf_transformation,[],[f119])).
% 0.23/0.56 thf(f119,plain,(
% 0.23/0.56 ((mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)))) = $true)),
% 0.23/0.56 inference(fool_elimination,[],[f118])).
% 0.23/0.56 thf(f118,plain,(
% 0.23/0.56 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 0.23/0.56 inference(rectify,[],[f46])).
% 0.23/0.56 thf(f46,axiom,(
% 0.23/0.56 (mvalid @ (mbox @ a @ (^[X0 : $i] : (tpp @ catalunya @ spain))))),
% 0.23/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)).
% 0.23/0.56 % SZS output end Proof for theBenchmark
% 0.23/0.56 % (2618)------------------------------
% 0.23/0.56 % (2618)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.56 % (2618)Termination reason: Refutation
% 0.23/0.56
% 0.23/0.56 % (2618)Memory used [KB]: 6908
% 0.23/0.56 % (2618)Time elapsed: 0.166 s
% 0.23/0.56 % (2618)Instructions burned: 279 (million)
% 0.23/0.56 % (2618)------------------------------
% 0.23/0.56 % (2618)------------------------------
% 0.23/0.56 % (2606)Success in time 0.184 s
%------------------------------------------------------------------------------