TSTP Solution File: SWV425^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV425^2 : TPTP v8.1.2. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 : Sun May 5 10:34:28 EDT 2024
% Result : Theorem 0.14s 0.42s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV425^2 : TPTP v8.1.2. Released v3.6.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 21:10:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.oEy4bDPfzU/Vampire---4.8_1415
% 0.14/0.38 % (1524)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.14/0.38 % (1525)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 Vampire---4 for (2999ds/4Mi)
% 0.14/0.38 % (1528)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (1526)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 Vampire---4 for (2999ds/27Mi)
% 0.14/0.38 % (1527)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.38 % (1529)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.14/0.38 % (1530)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.38 % (1531)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.38 % (1527)Instruction limit reached!
% 0.14/0.38 % (1527)------------------------------
% 0.14/0.38 % (1527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (1527)Termination reason: Unknown
% 0.14/0.38 % (1528)Instruction limit reached!
% 0.14/0.38 % (1528)------------------------------
% 0.14/0.38 % (1528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (1528)Termination reason: Unknown
% 0.14/0.38 % (1528)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (1528)Memory used [KB]: 1023
% 0.14/0.38 % (1528)Time elapsed: 0.003 s
% 0.14/0.38 % (1528)Instructions burned: 2 (million)
% 0.14/0.38 % (1528)------------------------------
% 0.14/0.38 % (1528)------------------------------
% 0.14/0.38 % (1527)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (1527)Memory used [KB]: 1023
% 0.14/0.38 % (1527)Time elapsed: 0.003 s
% 0.14/0.38 % (1527)Instructions burned: 2 (million)
% 0.14/0.38 % (1527)------------------------------
% 0.14/0.38 % (1527)------------------------------
% 0.14/0.38 % (1531)Instruction limit reached!
% 0.14/0.38 % (1531)------------------------------
% 0.14/0.38 % (1531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (1531)Termination reason: Unknown
% 0.14/0.38 % (1531)Termination phase: Preprocessing 1
% 0.14/0.38
% 0.14/0.38 % (1531)Memory used [KB]: 1023
% 0.14/0.38 % (1531)Time elapsed: 0.004 s
% 0.14/0.38 % (1531)Instructions burned: 3 (million)
% 0.14/0.38 % (1531)------------------------------
% 0.14/0.38 % (1531)------------------------------
% 0.14/0.38 % (1525)Instruction limit reached!
% 0.14/0.38 % (1525)------------------------------
% 0.14/0.38 % (1525)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (1525)Termination reason: Unknown
% 0.14/0.38 % (1525)Termination phase: Property scanning
% 0.14/0.38
% 0.14/0.38 % (1525)Memory used [KB]: 1023
% 0.14/0.38 % (1525)Time elapsed: 0.005 s
% 0.14/0.38 % (1525)Instructions burned: 5 (million)
% 0.14/0.38 % (1525)------------------------------
% 0.14/0.38 % (1525)------------------------------
% 0.14/0.39 % (1529)Refutation not found, incomplete strategy
% 0.14/0.39 % (1529)------------------------------
% 0.14/0.39 % (1529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (1529)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % (1529)Memory used [KB]: 5500
% 0.14/0.39 % (1529)Time elapsed: 0.006 s
% 0.14/0.39 % (1529)Instructions burned: 4 (million)
% 0.14/0.39 % (1529)------------------------------
% 0.14/0.39 % (1529)------------------------------
% 0.14/0.39 % (1530)Instruction limit reached!
% 0.14/0.39 % (1530)------------------------------
% 0.14/0.39 % (1530)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (1530)Termination reason: Unknown
% 0.14/0.39 % (1530)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (1530)Memory used [KB]: 5756
% 0.14/0.39 % (1530)Time elapsed: 0.014 s
% 0.14/0.39 % (1530)Instructions burned: 19 (million)
% 0.14/0.39 % (1530)------------------------------
% 0.14/0.39 % (1530)------------------------------
% 0.14/0.40 % (1532)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 Vampire---4 for (2999ds/37Mi)
% 0.14/0.40 % (1533)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 Vampire---4 for (2999ds/15Mi)
% 0.14/0.40 % (1526)Instruction limit reached!
% 0.14/0.40 % (1526)------------------------------
% 0.14/0.40 % (1526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (1526)Termination reason: Unknown
% 0.14/0.40 % (1526)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (1526)Memory used [KB]: 5628
% 0.14/0.40 % (1526)Time elapsed: 0.019 s
% 0.14/0.40 % (1526)Instructions burned: 27 (million)
% 0.14/0.40 % (1526)------------------------------
% 0.14/0.40 % (1526)------------------------------
% 0.14/0.40 % (1534)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.40 % (1535)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 Vampire---4 for (2999ds/1041Mi)
% 0.14/0.40 % (1534)Instruction limit reached!
% 0.14/0.40 % (1534)------------------------------
% 0.14/0.40 % (1534)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (1534)Termination reason: Unknown
% 0.14/0.40 % (1534)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (1534)Memory used [KB]: 1023
% 0.14/0.40 % (1534)Time elapsed: 0.004 s
% 0.14/0.40 % (1534)Instructions burned: 4 (million)
% 0.14/0.40 % (1534)------------------------------
% 0.14/0.40 % (1534)------------------------------
% 0.14/0.40 % (1536)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.14/0.40 % (1533)Refutation not found, incomplete strategy
% 0.14/0.40 % (1533)------------------------------
% 0.14/0.40 % (1533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (1533)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.40
% 0.14/0.40
% 0.14/0.40 % (1533)Memory used [KB]: 5628
% 0.14/0.40 % (1533)Time elapsed: 0.008 s
% 0.14/0.40 % (1533)Instructions burned: 10 (million)
% 0.14/0.40 % (1533)------------------------------
% 0.14/0.40 % (1533)------------------------------
% 0.14/0.40 % (1536)Instruction limit reached!
% 0.14/0.40 % (1536)------------------------------
% 0.14/0.40 % (1536)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (1536)Termination reason: Unknown
% 0.14/0.40 % (1536)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (1536)Memory used [KB]: 1023
% 0.14/0.40 % (1536)Time elapsed: 0.006 s
% 0.14/0.40 % (1536)Instructions burned: 7 (million)
% 0.14/0.40 % (1536)------------------------------
% 0.14/0.40 % (1536)------------------------------
% 0.14/0.41 % (1537)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.14/0.41 % (1538)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 Vampire---4 for (2999ds/3Mi)
% 0.14/0.41 % (1535)First to succeed.
% 0.14/0.41 % (1538)Instruction limit reached!
% 0.14/0.41 % (1538)------------------------------
% 0.14/0.41 % (1538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (1538)Termination reason: Unknown
% 0.14/0.41 % (1538)Termination phase: Preprocessing 3
% 0.14/0.42
% 0.14/0.42 % (1538)Memory used [KB]: 1023
% 0.14/0.42 % (1538)Time elapsed: 0.004 s
% 0.14/0.42 % (1538)Instructions burned: 4 (million)
% 0.14/0.42 % (1538)------------------------------
% 0.14/0.42 % (1538)------------------------------
% 0.14/0.42 % (1539)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 Vampire---4 for (2999ds/3Mi)
% 0.14/0.42 % (1539)Instruction limit reached!
% 0.14/0.42 % (1539)------------------------------
% 0.14/0.42 % (1539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (1539)Termination reason: Unknown
% 0.14/0.42 % (1539)Termination phase: Clausification
% 0.14/0.42
% 0.14/0.42 % (1539)Memory used [KB]: 1023
% 0.14/0.42 % (1539)Time elapsed: 0.004 s
% 0.14/0.42 % (1539)Instructions burned: 4 (million)
% 0.14/0.42 % (1539)------------------------------
% 0.14/0.42 % (1539)------------------------------
% 0.14/0.42 % (1537)Instruction limit reached!
% 0.14/0.42 % (1537)------------------------------
% 0.14/0.42 % (1537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (1537)Termination reason: Unknown
% 0.14/0.42 % (1537)Termination phase: Saturation
% 0.14/0.42
% 0.14/0.42 % (1537)Memory used [KB]: 5628
% 0.14/0.42 % (1537)Time elapsed: 0.011 s
% 0.14/0.42 % (1537)Instructions burned: 16 (million)
% 0.14/0.42 % (1537)------------------------------
% 0.14/0.42 % (1537)------------------------------
% 0.14/0.42 % (1532)Instruction limit reached!
% 0.14/0.42 % (1532)------------------------------
% 0.14/0.42 % (1532)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (1532)Termination reason: Unknown
% 0.14/0.42 % (1532)Termination phase: Saturation
% 0.14/0.42
% 0.14/0.42 % (1532)Memory used [KB]: 5884
% 0.14/0.42 % (1532)Time elapsed: 0.023 s
% 0.14/0.42 % (1532)Instructions burned: 37 (million)
% 0.14/0.42 % (1532)------------------------------
% 0.14/0.42 % (1532)------------------------------
% 0.14/0.42 % (1540)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.14/0.42 % (1535)Refutation found. Thanks to Tanya!
% 0.14/0.42 % SZS status Theorem for Vampire---4
% 0.14/0.42 % SZS output start Proof for Vampire---4
% 0.14/0.42 thf(type_def_6, type, individuals: $tType).
% 0.14/0.42 thf(func_def_1, type, prop_a: $i > $o).
% 0.14/0.42 thf(func_def_2, type, prop_b: $i > $o).
% 0.14/0.42 thf(func_def_3, type, prop_c: $i > $o).
% 0.14/0.42 thf(func_def_4, type, mfalse: $i > $o).
% 0.14/0.42 thf(func_def_5, type, mtrue: $i > $o).
% 0.14/0.42 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_14, type, individuals: $tType).
% 0.14/0.42 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.14/0.42 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.14/0.42 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.14/0.42 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.14/0.42 thf(func_def_21, type, rel: $i > $i > $o).
% 0.14/0.42 thf(func_def_22, type, icl_atom: ($i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_23, type, icl_princ: ($i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_24, type, icl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_25, type, icl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_26, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_27, type, icl_true: $i > $o).
% 0.14/0.42 thf(func_def_28, type, icl_false: $i > $o).
% 0.14/0.42 thf(func_def_29, type, icl_says: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.42 thf(func_def_30, type, iclval: ($i > $o) > $o).
% 0.14/0.42 thf(func_def_31, type, s: $i > $o).
% 0.14/0.42 thf(func_def_32, type, a: $i > $o).
% 0.14/0.42 thf(func_def_48, type, ph1: !>[X0: $tType]:(X0)).
% 0.14/0.42 thf(f202,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(trivial_inequality_removal,[],[f201])).
% 0.14/0.42 thf(f201,plain,(
% 0.14/0.42 ($true = $false)),
% 0.14/0.42 inference(boolean_simplification,[],[f200])).
% 0.14/0.42 thf(f200,plain,(
% 0.14/0.42 ((~ $true) = $true)),
% 0.14/0.42 inference(forward_demodulation,[],[f199,f181])).
% 0.14/0.42 thf(f181,plain,(
% 0.14/0.42 ($true = (rel @ sK3 @ sK4))),
% 0.14/0.42 inference(binary_proxy_clausification,[],[f179])).
% 0.14/0.42 thf(f179,plain,(
% 0.14/0.42 (((rel @ sK3 @ sK4) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))) | (a @ sK4))) = $false)),
% 0.14/0.42 inference(beta_eta_normalization,[],[f178])).
% 0.14/0.42 thf(f178,plain,(
% 0.14/0.42 ($false = ((^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0)))) @ sK4))),
% 0.14/0.42 inference(sigma_clausification,[],[f148])).
% 0.14/0.42 thf(f148,plain,(
% 0.14/0.42 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))))),
% 0.14/0.42 inference(binary_proxy_clausification,[],[f139])).
% 0.14/0.42 thf(f139,plain,(
% 0.14/0.42 ($false = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => (s @ Y0)))))))),
% 0.14/0.42 inference(binary_proxy_clausification,[],[f138])).
% 0.14/0.42 thf(f138,plain,(
% 0.14/0.42 (((rel @ sK2 @ sK3) => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))) | (a @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => (s @ Y0))))))) = $false)),
% 0.14/0.42 inference(beta_eta_normalization,[],[f137])).
% 0.14/0.42 thf(f137,plain,(
% 0.14/0.42 (((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))))) @ sK3) = $false)),
% 0.14/0.42 inference(sigma_clausification,[],[f136])).
% 0.14/0.42 thf(f136,plain,(
% 0.14/0.42 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))) | (a @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))))),
% 0.14/0.42 inference(beta_eta_normalization,[],[f135])).
% 0.14/0.42 thf(f135,plain,(
% 0.14/0.42 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))))))))) @ sK2) = $false)),
% 0.14/0.42 inference(sigma_clausification,[],[f132])).
% 0.14/0.42 thf(f132,plain,(
% 0.14/0.42 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))))) = $false)),
% 0.14/0.42 inference(not_proxy_clausification,[],[f120])).
% 0.14/0.42 thf(f120,plain,(
% 0.14/0.42 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3)))) | (a @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2)))))))))))) = $true)),
% 0.14/0.42 inference(beta_eta_normalization,[],[f118])).
% 0.14/0.42 thf(f118,plain,(
% 0.14/0.42 ((~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ s) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ s))))) = $true)),
% 0.14/0.42 inference(definition_unfolding,[],[f103,f115,f111,f108,f114,f101,f108])).
% 0.14/0.42 thf(f101,plain,(
% 0.14/0.42 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.14/0.42 inference(cnf_transformation,[],[f33])).
% 0.14/0.42 thf(f33,plain,(
% 0.14/0.42 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.14/0.42 inference(fool_elimination,[],[f32])).
% 0.14/0.42 thf(f32,plain,(
% 0.14/0.42 ((^[X0 : $i > $o] : (X0)) = icl_princ)),
% 0.14/0.42 inference(rectify,[],[f17])).
% 0.14/0.42 thf(f17,axiom,(
% 0.14/0.42 ((^[X5 : $i > $o] : (X5)) = icl_princ)),
% 0.14/0.42 file('/export/starexec/sandbox/tmp/tmp.oEy4bDPfzU/Vampire---4.8_1415',icl_princ)).
% 0.14/0.42 thf(f114,plain,(
% 0.14/0.42 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ Y0 @ Y1))))))),
% 0.14/0.42 inference(definition_unfolding,[],[f97,f91,f104])).
% 0.14/0.42 thf(f104,plain,(
% 0.14/0.42 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.14/0.42 inference(cnf_transformation,[],[f63])).
% 0.14/0.42 thf(f63,plain,(
% 0.14/0.42 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.14/0.42 inference(fool_elimination,[],[f62])).
% 0.14/0.42 thf(f62,plain,(
% 0.14/0.42 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.14/0.42 inference(rectify,[],[f4])).
% 0.14/0.42 thf(f4,axiom,(
% 0.14/0.42 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X0 @ X1) | (X2 @ X1))) = mor)),
% 0.14/0.42 file('/export/starexec/sandbox/tmp/tmp.oEy4bDPfzU/Vampire---4.8_1415',mor)).
% 0.14/0.42 thf(f91,plain,(
% 0.14/0.42 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.14/0.42 inference(cnf_transformation,[],[f35])).
% 0.14/0.42 thf(f35,plain,(
% 0.14/0.42 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.14/0.42 inference(fool_elimination,[],[f34])).
% 0.14/0.42 thf(f34,plain,(
% 0.14/0.42 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.14/0.42 inference(rectify,[],[f8])).
% 0.14/0.42 thf(f8,axiom,(
% 0.14/0.42 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.14/0.42 file('/export/starexec/sandbox/tmp/tmp.oEy4bDPfzU/Vampire---4.8_1415',mbox)).
% 0.14/0.42 thf(f97,plain,(
% 0.14/0.42 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.14/0.42 inference(cnf_transformation,[],[f70])).
% 0.14/0.42 thf(f70,plain,(
% 0.14/0.42 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.14/0.42 inference(fool_elimination,[],[f69])).
% 0.14/0.42 thf(f69,plain,(
% 0.14/0.42 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mor @ X0 @ X1))) = icl_says)),
% 0.14/0.42 inference(rectify,[],[f23])).
% 0.14/0.42 thf(f23,axiom,(
% 0.14/0.42 ((^[X7 : $i > $o, X9 : $i > $o] : (mbox @ rel @ (mor @ X7 @ X9))) = icl_says)),
% 0.14/0.42 file('/export/starexec/sandbox/tmp/tmp.oEy4bDPfzU/Vampire---4.8_1415',icl_says)).
% 0.14/0.42 thf(f108,plain,(
% 0.14/0.42 (icl_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)))),
% 0.14/0.42 inference(definition_unfolding,[],[f93,f91])).
% 0.14/0.42 thf(f93,plain,(
% 0.14/0.42 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.14/0.42 inference(cnf_transformation,[],[f42])).
% 0.14/0.42 thf(f42,plain,(
% 0.14/0.42 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.14/0.42 inference(fool_elimination,[],[f41])).
% 0.14/0.42 thf(f41,plain,(
% 0.14/0.42 ((^[X0 : $i > $o] : (mbox @ rel @ X0)) = icl_atom)),
% 0.14/0.42 inference(rectify,[],[f16])).
% 0.14/0.42 thf(f16,axiom,(
% 0.14/0.42 ((^[X5 : $i > $o] : (mbox @ rel @ X5)) = icl_atom)),
% 0.14/0.42 file('/export/starexec/sandbox/tmp/tmp.oEy4bDPfzU/Vampire---4.8_1415',icl_atom)).
% 0.14/0.42 thf(f111,plain,(
% 0.14/0.42 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 0.14/0.42 inference(definition_unfolding,[],[f89,f91,f106])).
% 0.14/0.42 thf(f106,plain,(
% 0.14/0.42 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.14/0.42 inference(definition_unfolding,[],[f94,f104,f96])).
% 0.14/0.42 thf(f96,plain,(
% 0.14/0.42 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.42 inference(cnf_transformation,[],[f40])).
% 0.14/0.42 thf(f40,plain,(
% 0.14/0.42 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.14/0.42 inference(fool_elimination,[],[f39])).
% 0.14/0.42 thf(f39,plain,(
% 0.14/0.42 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.14/0.42 inference(rectify,[],[f3])).
% 0.14/0.42 thf(f3,axiom,(
% 0.14/0.42 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.14/0.42 file('/export/starexec/sandbox/tmp/tmp.oEy4bDPfzU/Vampire---4.8_1415',mnot)).
% 0.14/0.42 thf(f94,plain,(
% 0.14/0.42 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.42 inference(cnf_transformation,[],[f48])).
% 0.14/0.42 thf(f48,plain,(
% 0.14/0.42 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.14/0.42 inference(fool_elimination,[],[f47])).
% 0.14/0.42 thf(f47,plain,(
% 0.14/0.42 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 0.14/0.42 inference(rectify,[],[f6])).
% 0.14/0.42 thf(f6,axiom,(
% 0.14/0.42 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 0.14/0.42 file('/export/starexec/sandbox/tmp/tmp.oEy4bDPfzU/Vampire---4.8_1415',mimpl)).
% 0.14/0.42 thf(f89,plain,(
% 0.14/0.42 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.14/0.42 inference(cnf_transformation,[],[f53])).
% 0.14/0.42 thf(f53,plain,(
% 0.14/0.42 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.14/0.42 inference(fool_elimination,[],[f52])).
% 0.14/0.42 thf(f52,plain,(
% 0.14/0.42 (icl_impl = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))))),
% 0.14/0.42 inference(rectify,[],[f20])).
% 0.14/0.42 thf(f20,axiom,(
% 0.14/0.42 (icl_impl = (^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))))),
% 0.14/0.42 file('/export/starexec/sandbox/tmp/tmp.oEy4bDPfzU/Vampire---4.8_1415',icl_impl)).
% 0.14/0.42 thf(f115,plain,(
% 0.14/0.42 (iclval = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 0.14/0.42 inference(definition_unfolding,[],[f80,f92])).
% 0.14/0.42 thf(f92,plain,(
% 0.14/0.42 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.42 inference(cnf_transformation,[],[f68])).
% 0.14/0.42 thf(f68,plain,(
% 0.14/0.42 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.42 inference(fool_elimination,[],[f67])).
% 0.14/0.42 thf(f67,plain,(
% 0.14/0.42 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.14/0.42 inference(rectify,[],[f12])).
% 0.14/0.42 thf(f12,axiom,(
% 0.14/0.42 ((^[X5 : $i > $o] : (! [X6] : (X5 @ X6))) = mvalid)),
% 0.14/0.42 file('/export/starexec/sandbox/tmp/tmp.oEy4bDPfzU/Vampire---4.8_1415',mvalid)).
% 0.14/0.42 thf(f80,plain,(
% 0.14/0.42 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.14/0.42 inference(cnf_transformation,[],[f66])).
% 0.14/0.42 thf(f66,plain,(
% 0.14/0.42 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.14/0.42 inference(fool_elimination,[],[f24])).
% 0.14/0.42 thf(f24,axiom,(
% 0.14/0.42 (iclval = (^[X0 : $i > $o] : (mvalid @ X0)))),
% 0.14/0.42 file('/export/starexec/sandbox/tmp/tmp.oEy4bDPfzU/Vampire---4.8_1415',icl_s4_valid)).
% 0.14/0.42 thf(f103,plain,(
% 0.14/0.42 ((~ (iclval @ (icl_impl @ (icl_atom @ s) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))) = $true)),
% 0.14/0.42 inference(cnf_transformation,[],[f31])).
% 0.14/0.42 thf(f31,plain,(
% 0.14/0.42 ((~ (iclval @ (icl_impl @ (icl_atom @ s) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))) = $true)),
% 0.14/0.42 inference(fool_elimination,[],[f30])).
% 0.14/0.42 thf(f30,plain,(
% 0.14/0.42 ~(iclval @ (icl_impl @ (icl_atom @ s) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))),
% 0.14/0.42 inference(rectify,[],[f28])).
% 0.14/0.42 thf(f28,negated_conjecture,(
% 0.14/0.42 ~(iclval @ (icl_impl @ (icl_atom @ s) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))),
% 0.14/0.42 inference(negated_conjecture,[],[f27])).
% 0.14/0.42 thf(f27,conjecture,(
% 0.14/0.42 (iclval @ (icl_impl @ (icl_atom @ s) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))),
% 0.14/0.42 file('/export/starexec/sandbox/tmp/tmp.oEy4bDPfzU/Vampire---4.8_1415',unit)).
% 0.14/0.42 thf(f199,plain,(
% 0.14/0.42 ((~ (rel @ sK3 @ sK4)) = $true)),
% 0.14/0.42 inference(boolean_simplification,[],[f193])).
% 0.14/0.42 thf(f193,plain,(
% 0.14/0.42 ($true = ((rel @ sK3 @ sK4) => $false))),
% 0.14/0.42 inference(superposition,[],[f173,f187])).
% 0.14/0.42 thf(f187,plain,(
% 0.14/0.42 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))))),
% 0.14/0.42 inference(boolean_simplification,[],[f186])).
% 0.14/0.42 thf(f186,plain,(
% 0.14/0.42 (((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))) | $false) = $false)),
% 0.14/0.42 inference(backward_demodulation,[],[f183,f184])).
% 0.14/0.42 thf(f184,plain,(
% 0.14/0.42 ($false = (a @ sK4))),
% 0.14/0.42 inference(binary_proxy_clausification,[],[f183])).
% 0.14/0.42 thf(f183,plain,(
% 0.14/0.42 ($false = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))) | (a @ sK4)))),
% 0.14/0.42 inference(boolean_simplification,[],[f182])).
% 0.14/0.42 thf(f182,plain,(
% 0.14/0.42 (($true => ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => (s @ Y0)))) | (a @ sK4))) = $false)),
% 0.14/0.42 inference(backward_demodulation,[],[f179,f181])).
% 0.14/0.42 thf(f173,plain,(
% 0.14/0.42 ( ! [X1 : $i] : (($true = ((rel @ sK3 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0))))))) )),
% 0.14/0.42 inference(beta_eta_normalization,[],[f171])).
% 0.14/0.42 thf(f171,plain,(
% 0.14/0.42 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((rel @ sK3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))) @ X1) = $true)) )),
% 0.14/0.42 inference(pi_clausification,[],[f154])).
% 0.14/0.42 thf(f154,plain,(
% 0.14/0.42 ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))),
% 0.14/0.42 inference(boolean_simplification,[],[f152])).
% 0.14/0.42 thf(f152,plain,(
% 0.14/0.42 ($true = ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))) | $false))),
% 0.14/0.42 inference(superposition,[],[f130,f150])).
% 0.14/0.42 thf(f150,plain,(
% 0.14/0.42 ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => (s @ Y0))))) = $false)),
% 0.14/0.42 inference(boolean_simplification,[],[f149])).
% 0.14/0.42 thf(f149,plain,(
% 0.14/0.42 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK3 @ Y0) => (s @ Y0)))))) = $false)),
% 0.14/0.42 inference(backward_demodulation,[],[f139,f148])).
% 0.14/0.42 thf(f130,plain,(
% 0.14/0.42 ( ! [X2 : $i,X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X1 @ Y0)))))) = $true)) )),
% 0.14/0.42 inference(beta_eta_normalization,[],[f129])).
% 0.14/0.42 thf(f129,plain,(
% 0.14/0.42 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (X1 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1))))))) @ X2))) )),
% 0.14/0.42 inference(pi_clausification,[],[f128])).
% 0.14/0.42 thf(f128,plain,(
% 0.14/0.42 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (X1 @ Y2))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X1 @ Y1)))))))) = $true)) )),
% 0.14/0.42 inference(beta_eta_normalization,[],[f127])).
% 0.14/0.42 thf(f127,plain,(
% 0.14/0.42 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (Y0 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2))))))))) @ X1) = $true)) )),
% 0.14/0.42 inference(pi_clausification,[],[f119])).
% 0.14/0.42 thf(f119,plain,(
% 0.14/0.42 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (Y0 @ Y3))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (Y0 @ Y2)))))))))) = $true)),
% 0.14/0.42 inference(beta_eta_normalization,[],[f116])).
% 0.14/0.42 thf(f116,plain,(
% 0.14/0.42 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)))))))),
% 0.14/0.42 inference(definition_unfolding,[],[f98,f92,f106,f91,f91,f91])).
% 0.14/0.42 thf(f98,plain,(
% 0.14/0.42 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ (mbox @ rel @ (mbox @ rel @ Y0)))))))),
% 0.14/0.42 inference(cnf_transformation,[],[f44])).
% 0.14/0.42 thf(f44,plain,(
% 0.14/0.42 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ (mbox @ rel @ (mbox @ rel @ Y0)))))))),
% 0.14/0.42 inference(fool_elimination,[],[f43])).
% 0.14/0.42 thf(f43,plain,(
% 0.14/0.42 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0))))),
% 0.14/0.42 inference(rectify,[],[f26])).
% 0.14/0.42 thf(f26,axiom,(
% 0.14/0.42 ! [X8 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X8) @ (mbox @ rel @ (mbox @ rel @ X8))))),
% 0.14/0.42 file('/export/starexec/sandbox/tmp/tmp.oEy4bDPfzU/Vampire---4.8_1415',trans_axiom)).
% 0.14/0.42 % SZS output end Proof for Vampire---4
% 0.14/0.42 % (1535)------------------------------
% 0.14/0.42 % (1535)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (1535)Termination reason: Refutation
% 0.14/0.42
% 0.14/0.42 % (1535)Memory used [KB]: 5756
% 0.14/0.42 % (1535)Time elapsed: 0.021 s
% 0.14/0.42 % (1535)Instructions burned: 23 (million)
% 0.14/0.42 % (1535)------------------------------
% 0.14/0.42 % (1535)------------------------------
% 0.14/0.42 % (1523)Success in time 0.034 s
% 0.14/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------