TSTP Solution File: NUN024^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUN024^1 : TPTP v8.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n010.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 13:32:35 EDT 2024
% Result : Theorem 2.20s 0.74s
% Output : Refutation 2.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN024^1 : TPTP v8.2.0. Released v6.4.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n010.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 : Tue Jun 18 21:21:39 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 This is a TH0_THM_EQU_NAR problem
% 0.13/0.38 Running higher-order theorem proving
% 0.13/0.38 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
% 0.24/0.40 % (4122)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)
% 0.24/0.40 % (4119)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)
% 0.24/0.40 % (4122)Instruction limit reached!
% 0.24/0.40 % (4122)------------------------------
% 0.24/0.40 % (4122)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.40 % (4122)Termination reason: Unknown
% 0.24/0.40 % (4122)Termination phase: Naming
% 0.24/0.40
% 0.24/0.40 % (4122)Memory used [KB]: 895
% 0.24/0.40 % (4122)Time elapsed: 0.003 s
% 0.24/0.40 % (4122)Instructions burned: 2 (million)
% 0.24/0.40 % (4122)------------------------------
% 0.24/0.40 % (4122)------------------------------
% 0.24/0.40 % (4120)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)
% 0.24/0.41 % (4121)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.24/0.41 % (4124)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.24/0.41 % (4119)Instruction limit reached!
% 0.24/0.41 % (4119)------------------------------
% 0.24/0.41 % (4119)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.41 % (4119)Termination reason: Unknown
% 0.24/0.41 % (4119)Termination phase: Saturation
% 0.24/0.41
% 0.24/0.41 % (4119)Memory used [KB]: 5500
% 0.24/0.41 % (4119)Time elapsed: 0.006 s
% 0.24/0.41 % (4119)Instructions burned: 5 (million)
% 0.24/0.41 % (4119)------------------------------
% 0.24/0.41 % (4119)------------------------------
% 0.24/0.41 % (4121)Instruction limit reached!
% 0.24/0.41 % (4121)------------------------------
% 0.24/0.41 % (4121)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.41 % (4121)Termination reason: Unknown
% 0.24/0.41 % (4121)Termination phase: Saturation
% 0.24/0.41
% 0.24/0.41 % (4121)Memory used [KB]: 5500
% 0.24/0.41 % (4121)Time elapsed: 0.004 s
% 0.24/0.41 % (4121)Instructions burned: 2 (million)
% 0.24/0.41 % (4121)------------------------------
% 0.24/0.41 % (4121)------------------------------
% 0.24/0.41 % (4123)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)
% 0.24/0.41 % (4120)Refutation not found, incomplete strategy
% 0.24/0.41 % (4120)------------------------------
% 0.24/0.41 % (4120)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.41 % (4120)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.41
% 0.24/0.41
% 0.24/0.41 % (4120)Memory used [KB]: 5500
% 0.24/0.41 % (4120)Time elapsed: 0.005 s
% 0.24/0.41 % (4120)Instructions burned: 3 (million)
% 0.24/0.41 % (4120)------------------------------
% 0.24/0.41 % (4120)------------------------------
% 0.24/0.41 % (4118)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.24/0.41 % (4123)Refutation not found, incomplete strategy
% 0.24/0.41 % (4123)------------------------------
% 0.24/0.41 % (4123)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.41 % (4123)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.41
% 0.24/0.41
% 0.24/0.41 % (4123)Memory used [KB]: 5500
% 0.24/0.41 % (4123)Time elapsed: 0.006 s
% 0.24/0.41 % (4123)Instructions burned: 3 (million)
% 0.24/0.41 % (4123)------------------------------
% 0.24/0.41 % (4123)------------------------------
% 0.24/0.42 % (4125)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)
% 0.24/0.42 % (4124)Instruction limit reached!
% 0.24/0.42 % (4124)------------------------------
% 0.24/0.42 % (4124)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.42 % (4124)Termination reason: Unknown
% 0.24/0.42 % (4124)Termination phase: Saturation
% 0.24/0.42
% 0.24/0.42 % (4124)Memory used [KB]: 5628
% 0.24/0.42 % (4124)Time elapsed: 0.015 s
% 0.24/0.42 % (4124)Instructions burned: 19 (million)
% 0.24/0.42 % (4124)------------------------------
% 0.24/0.42 % (4124)------------------------------
% 0.24/0.42 % (4125)Instruction limit reached!
% 0.24/0.42 % (4125)------------------------------
% 0.24/0.42 % (4125)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.42 % (4125)Termination reason: Unknown
% 0.24/0.42 % (4125)Termination phase: Saturation
% 0.24/0.42
% 0.24/0.42 % (4125)Memory used [KB]: 5500
% 0.24/0.42 % (4125)Time elapsed: 0.005 s
% 0.24/0.42 % (4125)Instructions burned: 4 (million)
% 0.24/0.42 % (4125)------------------------------
% 0.24/0.42 % (4125)------------------------------
% 0.24/0.42 % (4126)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)
% 0.24/0.42 % (4127)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)
% 0.24/0.43 % (4128)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)
% 0.24/0.43 % (4127)Refutation not found, incomplete strategy
% 0.24/0.43 % (4127)------------------------------
% 0.24/0.43 % (4127)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.43 % (4127)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.43
% 0.24/0.43
% 0.24/0.43 % (4127)Memory used [KB]: 5500
% 0.24/0.43 % (4127)Time elapsed: 0.004 s
% 0.24/0.43 % (4127)Instructions burned: 3 (million)
% 0.24/0.43 % (4127)------------------------------
% 0.24/0.43 % (4127)------------------------------
% 0.24/0.43 % (4128)Instruction limit reached!
% 0.24/0.43 % (4128)------------------------------
% 0.24/0.43 % (4128)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.43 % (4129)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)
% 0.24/0.43 % (4128)Termination reason: Unknown
% 0.24/0.43 % (4128)Termination phase: Saturation
% 0.24/0.43
% 0.24/0.43 % (4128)Memory used [KB]: 5500
% 0.24/0.43 % (4128)Time elapsed: 0.005 s
% 0.24/0.43 % (4128)Instructions burned: 4 (million)
% 0.24/0.43 % (4128)------------------------------
% 0.24/0.43 % (4128)------------------------------
% 0.24/0.43 % (4130)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.24/0.44 % (4131)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.24/0.44 % (4130)Instruction limit reached!
% 0.24/0.44 % (4130)------------------------------
% 0.24/0.44 % (4130)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.44 % (4130)Termination reason: Unknown
% 0.24/0.44 % (4130)Termination phase: Saturation
% 0.24/0.44
% 0.24/0.44 % (4130)Memory used [KB]: 1023
% 0.24/0.44 % (4130)Time elapsed: 0.007 s
% 0.24/0.44 % (4130)Instructions burned: 7 (million)
% 0.24/0.44 % (4130)------------------------------
% 0.24/0.44 % (4130)------------------------------
% 0.24/0.44 % (4132)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)
% 0.24/0.44 % (4133)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)
% 0.24/0.44 % (4132)Instruction limit reached!
% 0.24/0.44 % (4132)------------------------------
% 0.24/0.44 % (4132)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.44 % (4132)Termination reason: Unknown
% 0.24/0.44 % (4132)Termination phase: Saturation
% 0.24/0.44
% 0.24/0.44 % (4132)Memory used [KB]: 5500
% 0.24/0.44 % (4132)Time elapsed: 0.004 s
% 0.24/0.44 % (4132)Instructions burned: 3 (million)
% 0.24/0.44 % (4132)------------------------------
% 0.24/0.44 % (4132)------------------------------
% 0.24/0.45 % (4126)Instruction limit reached!
% 0.24/0.45 % (4126)------------------------------
% 0.24/0.45 % (4126)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.45 % (4126)Termination reason: Unknown
% 0.24/0.45 % (4126)Termination phase: Saturation
% 0.24/0.45
% 0.24/0.45 % (4126)Memory used [KB]: 5756
% 0.24/0.45 % (4126)Time elapsed: 0.025 s
% 0.24/0.45 % (4133)Instruction limit reached!
% 0.24/0.45 % (4133)------------------------------
% 0.24/0.45 % (4133)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.45 % (4133)Termination reason: Unknown
% 0.24/0.45 % (4133)Termination phase: Saturation
% 0.24/0.45
% 0.24/0.45 % (4133)Memory used [KB]: 5500
% 0.24/0.45 % (4133)Time elapsed: 0.004 s
% 0.24/0.45 % (4133)Instructions burned: 3 (million)
% 0.24/0.45 % (4133)------------------------------
% 0.24/0.45 % (4133)------------------------------
% 0.24/0.45 % (4126)Instructions burned: 37 (million)
% 0.24/0.45 % (4126)------------------------------
% 0.24/0.45 % (4126)------------------------------
% 0.24/0.45 % (4131)Instruction limit reached!
% 0.24/0.45 % (4131)------------------------------
% 0.24/0.45 % (4131)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.45 % (4131)Termination reason: Unknown
% 0.24/0.45 % (4131)Termination phase: Saturation
% 0.24/0.45
% 0.24/0.45 % (4131)Memory used [KB]: 5628
% 0.24/0.45 % (4131)Time elapsed: 0.013 s
% 0.24/0.45 % (4131)Instructions burned: 17 (million)
% 0.24/0.45 % (4131)------------------------------
% 0.24/0.45 % (4131)------------------------------
% 0.24/0.46 % (4134)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)
% 0.24/0.46 % (4134)Refutation not found, incomplete strategy
% 0.24/0.46 % (4134)------------------------------
% 0.24/0.46 % (4134)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.46 % (4134)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.46
% 0.24/0.46
% 0.24/0.46 % (4134)Memory used [KB]: 5500
% 0.24/0.46 % (4134)Time elapsed: 0.003 s
% 0.24/0.46 % (4134)Instructions burned: 1 (million)
% 0.24/0.46 % (4134)------------------------------
% 0.24/0.46 % (4134)------------------------------
% 0.24/0.46 % (4136)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.24/0.46 % (4135)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)
% 0.24/0.46 % (4137)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)
% 0.24/0.46 % (4135)Instruction limit reached!
% 0.24/0.46 % (4135)------------------------------
% 0.24/0.46 % (4135)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.46 % (4135)Termination reason: Unknown
% 0.24/0.46 % (4135)Termination phase: Saturation
% 0.24/0.46
% 0.24/0.46 % (4135)Memory used [KB]: 5500
% 0.24/0.46 % (4135)Time elapsed: 0.004 s
% 0.24/0.46 % (4135)Instructions burned: 3 (million)
% 0.24/0.46 % (4135)------------------------------
% 0.24/0.46 % (4135)------------------------------
% 0.24/0.46 % (4137)Refutation not found, incomplete strategy
% 0.24/0.46 % (4137)------------------------------
% 0.24/0.46 % (4137)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.46 % (4137)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.46
% 0.24/0.46
% 0.24/0.46 % (4137)Memory used [KB]: 5500
% 0.24/0.46 % (4137)Time elapsed: 0.004 s
% 0.24/0.46 % (4137)Instructions burned: 3 (million)
% 0.24/0.46 % (4137)------------------------------
% 0.24/0.46 % (4137)------------------------------
% 0.24/0.46 % (4136)Instruction limit reached!
% 0.24/0.46 % (4136)------------------------------
% 0.24/0.46 % (4136)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.46 % (4136)Termination reason: Unknown
% 0.24/0.46 % (4136)Termination phase: Saturation
% 0.24/0.46 % (4138)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.24/0.46
% 0.24/0.46 % (4136)Memory used [KB]: 5500
% 0.24/0.46 % (4136)Time elapsed: 0.005 s
% 0.24/0.46 % (4136)Instructions burned: 4 (million)
% 0.24/0.46 % (4136)------------------------------
% 0.24/0.46 % (4136)------------------------------
% 0.24/0.47 % (4139)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.24/0.48 % (4139)Instruction limit reached!
% 0.24/0.48 % (4139)------------------------------
% 0.24/0.48 % (4139)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.48 % (4139)Termination reason: Unknown
% 0.24/0.48 % (4139)Termination phase: Saturation
% 0.24/0.48
% 0.24/0.48 % (4139)Memory used [KB]: 5500
% 0.24/0.48 % (4139)Time elapsed: 0.006 s
% 0.24/0.48 % (4139)Instructions burned: 6 (million)
% 0.24/0.48 % (4139)------------------------------
% 0.24/0.48 % (4139)------------------------------
% 0.24/0.48 % (4140)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)
% 0.24/0.48 % (4141)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)
% 0.24/0.48 % (4142)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.24/0.48 % (4140)Refutation not found, incomplete strategy
% 0.24/0.48 % (4140)------------------------------
% 0.24/0.48 % (4140)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.48 % (4140)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.48
% 0.24/0.48
% 0.24/0.48 % (4140)Memory used [KB]: 5500
% 0.24/0.48 % (4140)Time elapsed: 0.004 s
% 0.24/0.48 % (4140)Instructions burned: 3 (million)
% 0.24/0.48 % (4140)------------------------------
% 0.24/0.48 % (4140)------------------------------
% 0.24/0.48 % (4142)Instruction limit reached!
% 0.24/0.48 % (4142)------------------------------
% 0.24/0.48 % (4142)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.48 % (4142)Termination reason: Unknown
% 0.24/0.48 % (4142)Termination phase: Saturation
% 0.24/0.48
% 0.24/0.48 % (4142)Memory used [KB]: 5500
% 0.24/0.48 % (4142)Time elapsed: 0.027 s
% 0.24/0.48 % (4142)Instructions burned: 5 (million)
% 0.24/0.48 % (4142)------------------------------
% 0.24/0.48 % (4142)------------------------------
% 0.24/0.49 % (4143)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)
% 0.24/0.49 % (4141)Instruction limit reached!
% 0.24/0.49 % (4141)------------------------------
% 0.24/0.49 % (4141)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.49 % (4141)Termination reason: Unknown
% 0.24/0.49 % (4141)Termination phase: Saturation
% 0.24/0.49
% 0.24/0.49 % (4141)Memory used [KB]: 5628
% 0.24/0.49 % (4141)Time elapsed: 0.039 s
% 0.24/0.49 % (4141)Instructions burned: 21 (million)
% 0.24/0.49 % (4141)------------------------------
% 0.24/0.49 % (4141)------------------------------
% 0.24/0.50 % (4143)Instruction limit reached!
% 0.24/0.50 % (4143)------------------------------
% 0.24/0.50 % (4143)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.50 % (4143)Termination reason: Unknown
% 0.24/0.50 % (4143)Termination phase: Saturation
% 0.24/0.50
% 0.24/0.50 % (4143)Memory used [KB]: 5500
% 0.24/0.50 % (4143)Time elapsed: 0.005 s
% 0.24/0.50 % (4143)Instructions burned: 6 (million)
% 0.24/0.50 % (4143)------------------------------
% 0.24/0.50 % (4143)------------------------------
% 0.24/0.50 % (4144)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.24/0.50 % (4145)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)
% 0.24/0.50 % (4144)Refutation not found, incomplete strategy
% 0.24/0.50 % (4144)------------------------------
% 0.24/0.50 % (4144)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.50 % (4144)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.50
% 0.24/0.50
% 0.24/0.50 % (4144)Memory used [KB]: 5500
% 0.24/0.50 % (4144)Time elapsed: 0.004 s
% 0.24/0.50 % (4144)Instructions burned: 3 (million)
% 0.24/0.50 % (4144)------------------------------
% 0.24/0.50 % (4144)------------------------------
% 0.24/0.50 % (4145)Refutation not found, incomplete strategy
% 0.24/0.50 % (4145)------------------------------
% 0.24/0.50 % (4145)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.50 % (4145)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.50
% 0.24/0.50
% 0.24/0.50 % (4145)Memory used [KB]: 5500
% 0.24/0.50 % (4145)Time elapsed: 0.007 s
% 0.24/0.50 % (4145)Instructions burned: 9 (million)
% 0.24/0.50 % (4145)------------------------------
% 0.24/0.50 % (4145)------------------------------
% 0.24/0.51 % (4146)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)
% 0.24/0.51 % (4147)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)
% 0.24/0.51 % (4146)Refutation not found, incomplete strategy
% 0.24/0.51 % (4146)------------------------------
% 0.24/0.51 % (4146)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.51 % (4146)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.51
% 0.24/0.51
% 0.24/0.51 % (4146)Memory used [KB]: 5500
% 0.24/0.51 % (4146)Time elapsed: 0.006 s
% 0.24/0.51 % (4146)Instructions burned: 7 (million)
% 0.24/0.51 % (4146)------------------------------
% 0.24/0.51 % (4146)------------------------------
% 0.24/0.51 % (4147)Refutation not found, incomplete strategy
% 0.24/0.51 % (4147)------------------------------
% 0.24/0.51 % (4147)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.51 % (4147)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.51
% 0.24/0.51
% 0.24/0.51 % (4147)Memory used [KB]: 5500
% 0.24/0.51 % (4147)Time elapsed: 0.004 s
% 0.24/0.51 % (4147)Instructions burned: 3 (million)
% 0.24/0.51 % (4147)------------------------------
% 0.24/0.51 % (4147)------------------------------
% 0.24/0.51 % (4148)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.24/0.52 % (4118)Instruction limit reached!
% 0.24/0.52 % (4118)------------------------------
% 0.24/0.52 % (4118)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.52 % (4118)Termination reason: Unknown
% 0.24/0.52 % (4118)Termination phase: Saturation
% 0.24/0.52
% 0.24/0.52 % (4118)Memory used [KB]: 6140
% 0.24/0.52 % (4118)Time elapsed: 0.113 s
% 0.24/0.52 % (4118)Instructions burned: 183 (million)
% 0.24/0.52 % (4118)------------------------------
% 0.24/0.52 % (4118)------------------------------
% 0.24/0.52 % (4149)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.24/0.52 % (4149)Instruction limit reached!
% 0.24/0.52 % (4149)------------------------------
% 0.24/0.52 % (4149)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.52 % (4149)Termination reason: Unknown
% 0.24/0.52 % (4149)Termination phase: Saturation
% 0.24/0.52
% 0.24/0.52 % (4149)Memory used [KB]: 5500
% 0.24/0.52 % (4149)Time elapsed: 0.004 s
% 0.24/0.52 % (4149)Instructions burned: 4 (million)
% 0.24/0.52 % (4149)------------------------------
% 0.24/0.52 % (4149)------------------------------
% 0.24/0.53 % (4148)Instruction limit reached!
% 0.24/0.53 % (4148)------------------------------
% 0.24/0.53 % (4148)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.53 % (4148)Termination reason: Unknown
% 0.24/0.53 % (4148)Termination phase: Saturation
% 0.24/0.53
% 0.24/0.53 % (4148)Memory used [KB]: 5628
% 0.24/0.53 % (4148)Time elapsed: 0.013 s
% 0.24/0.53 % (4148)Instructions burned: 18 (million)
% 0.24/0.53 % (4148)------------------------------
% 0.24/0.53 % (4148)------------------------------
% 0.24/0.53 % (4150)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.24/0.53 % (4151)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)
% 0.24/0.53 % (4152)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)
% 0.24/0.54 % (4153)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)
% 0.24/0.54 % (4152)Refutation not found, incomplete strategy
% 0.24/0.54 % (4152)------------------------------
% 0.24/0.54 % (4152)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.54 % (4152)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.54
% 0.24/0.54
% 0.24/0.54 % (4152)Memory used [KB]: 5500
% 0.24/0.54 % (4152)Time elapsed: 0.004 s
% 0.24/0.54 % (4152)Instructions burned: 3 (million)
% 0.24/0.54 % (4152)------------------------------
% 0.24/0.54 % (4152)------------------------------
% 0.24/0.54 % (4153)Instruction limit reached!
% 0.24/0.54 % (4153)------------------------------
% 0.24/0.54 % (4153)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.54 % (4153)Termination reason: Unknown
% 0.24/0.54 % (4153)Termination phase: Saturation
% 0.24/0.54
% 0.24/0.54 % (4153)Memory used [KB]: 5500
% 0.24/0.54 % (4153)Time elapsed: 0.004 s
% 0.24/0.54 % (4153)Instructions burned: 3 (million)
% 0.24/0.54 % (4153)------------------------------
% 0.24/0.54 % (4153)------------------------------
% 0.24/0.54 % (4154)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)
% 0.24/0.54 % (4154)Refutation not found, incomplete strategy
% 0.24/0.54 % (4154)------------------------------
% 0.24/0.54 % (4154)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.54 % (4154)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.54
% 0.24/0.54
% 0.24/0.54 % (4154)Memory used [KB]: 5500
% 0.24/0.54 % (4154)Time elapsed: 0.004 s
% 0.24/0.54 % (4154)Instructions burned: 3 (million)
% 0.24/0.54 % (4154)------------------------------
% 0.24/0.54 % (4154)------------------------------
% 0.24/0.55 % (4150)Instruction limit reached!
% 0.24/0.55 % (4150)------------------------------
% 0.24/0.55 % (4150)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.55 % (4150)Termination reason: Unknown
% 0.24/0.55 % (4150)Termination phase: Saturation
% 0.24/0.55
% 0.24/0.55 % (4150)Memory used [KB]: 5628
% 0.24/0.55 % (4150)Time elapsed: 0.020 s
% 0.24/0.55 % (4150)Instructions burned: 31 (million)
% 0.24/0.55 % (4150)------------------------------
% 0.24/0.55 % (4150)------------------------------
% 0.24/0.55 % (4155)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)
% 0.24/0.55 % (4156)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)
% 0.24/0.56 % (4156)Refutation not found, incomplete strategy
% 0.24/0.56 % (4156)------------------------------
% 0.24/0.56 % (4156)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.56 % (4156)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.56
% 0.24/0.56
% 0.24/0.56 % (4156)Memory used [KB]: 5500
% 0.24/0.56 % (4156)Time elapsed: 0.004 s
% 0.24/0.56 % (4156)Instructions burned: 3 (million)
% 0.24/0.56 % (4156)------------------------------
% 0.24/0.56 % (4156)------------------------------
% 0.24/0.56 % (4157)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.24/0.56 % (4158)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 0.24/0.57 % (4159)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 0.24/0.58 % (4157)Instruction limit reached!
% 0.24/0.58 % (4157)------------------------------
% 0.24/0.58 % (4157)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.58 % (4157)Termination reason: Unknown
% 0.24/0.58 % (4157)Termination phase: Saturation
% 0.24/0.58
% 0.24/0.58 % (4157)Memory used [KB]: 5756
% 0.24/0.58 % (4157)Time elapsed: 0.026 s
% 0.24/0.58 % (4157)Instructions burned: 39 (million)
% 0.24/0.58 % (4157)------------------------------
% 0.24/0.58 % (4157)------------------------------
% 0.24/0.60 % (4159)Refutation not found, incomplete strategy
% 0.24/0.60 % (4159)------------------------------
% 0.24/0.60 % (4159)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.60 % (4159)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.60
% 0.24/0.60
% 0.24/0.60 % (4159)Memory used [KB]: 5628
% 0.24/0.60 % (4159)Time elapsed: 0.026 s
% 0.24/0.60 % (4159)Instructions burned: 36 (million)
% 0.24/0.60 % (4159)------------------------------
% 0.24/0.60 % (4159)------------------------------
% 0.24/0.60 % (4160)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 0.24/0.60 % (4155)Instruction limit reached!
% 0.24/0.60 % (4155)------------------------------
% 0.24/0.60 % (4155)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.60 % (4155)Termination reason: Unknown
% 0.24/0.60 % (4155)Termination phase: Saturation
% 0.24/0.60
% 0.24/0.60 % (4155)Memory used [KB]: 5884
% 0.24/0.60 % (4155)Time elapsed: 0.053 s
% 0.24/0.60 % (4155)Instructions burned: 86 (million)
% 0.24/0.60 % (4155)------------------------------
% 0.24/0.60 % (4155)------------------------------
% 0.24/0.61 % (4151)Instruction limit reached!
% 0.24/0.61 % (4151)------------------------------
% 0.24/0.61 % (4151)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.61 % (4151)Termination reason: Unknown
% 0.24/0.61 % (4151)Termination phase: Saturation
% 0.24/0.61
% 0.24/0.61 % (4151)Memory used [KB]: 5884
% 0.24/0.61 % (4151)Time elapsed: 0.078 s
% 0.24/0.61 % (4151)Instructions burned: 128 (million)
% 0.24/0.61 % (4151)------------------------------
% 0.24/0.61 % (4151)------------------------------
% 0.24/0.61 % (4160)Refutation not found, incomplete strategy
% 0.24/0.61 % (4160)------------------------------
% 0.24/0.61 % (4160)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.61 % (4160)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.61
% 0.24/0.61
% 0.24/0.61 % (4160)Memory used [KB]: 1023
% 0.24/0.61 % (4160)Time elapsed: 0.009 s
% 0.24/0.61 % (4160)Instructions burned: 11 (million)
% 0.24/0.61 % (4160)------------------------------
% 0.24/0.61 % (4160)------------------------------
% 1.77/0.61 % (4161)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 1.77/0.62 % (4161)Refutation not found, incomplete strategy
% 1.77/0.62 % (4161)------------------------------
% 1.77/0.62 % (4161)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.77/0.62 % (4161)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.62
% 1.77/0.62
% 1.77/0.62 % (4161)Memory used [KB]: 5500
% 1.77/0.62 % (4161)Time elapsed: 0.005 s
% 1.77/0.62 % (4161)Instructions burned: 4 (million)
% 1.77/0.62 % (4161)------------------------------
% 1.77/0.62 % (4161)------------------------------
% 1.77/0.62 % (4162)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.77/0.62 % (4163)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.77/0.62 % (4164)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 1.77/0.62 % (4163)Refutation not found, incomplete strategy
% 1.77/0.62 % (4163)------------------------------
% 1.77/0.62 % (4163)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.77/0.62 % (4163)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.62
% 1.77/0.62
% 1.77/0.62 % (4163)Memory used [KB]: 5500
% 1.77/0.62 % (4163)Time elapsed: 0.004 s
% 1.77/0.62 % (4163)Instructions burned: 3 (million)
% 1.77/0.62 % (4163)------------------------------
% 1.77/0.62 % (4163)------------------------------
% 1.77/0.63 % (4164)Instruction limit reached!
% 1.77/0.63 % (4164)------------------------------
% 1.77/0.63 % (4164)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.77/0.63 % (4164)Termination reason: Unknown
% 1.77/0.63 % (4164)Termination phase: Saturation
% 1.77/0.63
% 1.77/0.63 % (4164)Memory used [KB]: 9978
% 1.77/0.63 % (4164)Time elapsed: 0.006 s
% 1.77/0.63 % (4164)Instructions burned: 6 (million)
% 1.77/0.63 % (4164)------------------------------
% 1.77/0.63 % (4164)------------------------------
% 1.77/0.63 % (4165)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2997ds/1087Mi)
% 1.90/0.64 % (4165)Refutation not found, incomplete strategy
% 1.90/0.64 % (4165)------------------------------
% 1.90/0.64 % (4165)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.90/0.64 % (4165)Termination reason: Refutation not found, incomplete strategy
% 1.90/0.64
% 1.90/0.64
% 1.90/0.64 % (4165)Memory used [KB]: 5500
% 1.90/0.64 % (4165)Time elapsed: 0.004 s
% 1.90/0.64 % (4165)Instructions burned: 3 (million)
% 1.90/0.64 % (4165)------------------------------
% 1.90/0.64 % (4165)------------------------------
% 1.93/0.64 % (4166)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.93/0.64 % (4167)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2997ds/44Mi)
% 1.93/0.65 % (4168)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2997ds/432Mi)
% 1.93/0.67 % (4166)Instruction limit reached!
% 1.93/0.67 % (4166)------------------------------
% 1.93/0.67 % (4166)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.93/0.67 % (4166)Termination reason: Unknown
% 1.93/0.67 % (4166)Termination phase: Saturation
% 1.93/0.67
% 1.93/0.67 % (4166)Memory used [KB]: 5628
% 1.93/0.67 % (4166)Time elapsed: 0.029 s
% 1.93/0.67 % (4166)Instructions burned: 47 (million)
% 1.93/0.67 % (4166)------------------------------
% 1.93/0.67 % (4166)------------------------------
% 1.93/0.67 % (4167)Instruction limit reached!
% 1.93/0.67 % (4167)------------------------------
% 1.93/0.67 % (4167)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.93/0.67 % (4167)Termination reason: Unknown
% 1.93/0.67 % (4167)Termination phase: Saturation
% 1.93/0.67
% 1.93/0.67 % (4167)Memory used [KB]: 1279
% 1.93/0.67 % (4167)Time elapsed: 0.027 s
% 1.93/0.67 % (4167)Instructions burned: 45 (million)
% 1.93/0.67 % (4167)------------------------------
% 1.93/0.67 % (4167)------------------------------
% 1.93/0.68 % (4169)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2997ds/62Mi)
% 1.93/0.68 % (4170)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.20/0.70 % (4170)Instruction limit reached!
% 2.20/0.70 % (4170)------------------------------
% 2.20/0.70 % (4170)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.20/0.70 % (4170)Termination reason: Unknown
% 2.20/0.70 % (4170)Termination phase: Saturation
% 2.20/0.70
% 2.20/0.70 % (4170)Memory used [KB]: 5628
% 2.20/0.70 % (4170)Time elapsed: 0.021 s
% 2.20/0.70 % (4170)Instructions burned: 32 (million)
% 2.20/0.70 % (4170)------------------------------
% 2.20/0.70 % (4170)------------------------------
% 2.20/0.71 % (4162)Instruction limit reached!
% 2.20/0.71 % (4162)------------------------------
% 2.20/0.71 % (4162)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.20/0.71 % (4162)Termination reason: Unknown
% 2.20/0.71 % (4162)Termination phase: Saturation
% 2.20/0.71
% 2.20/0.71 % (4162)Memory used [KB]: 6012
% 2.20/0.71 % (4162)Time elapsed: 0.088 s
% 2.20/0.71 % (4162)Instructions burned: 149 (million)
% 2.20/0.71 % (4162)------------------------------
% 2.20/0.71 % (4162)------------------------------
% 2.20/0.72 % (4171)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.20/0.72 % (4169)Instruction limit reached!
% 2.20/0.72 % (4169)------------------------------
% 2.20/0.72 % (4169)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.20/0.72 % (4169)Termination reason: Unknown
% 2.20/0.72 % (4169)Termination phase: Saturation
% 2.20/0.72
% 2.20/0.72 % (4169)Memory used [KB]: 5756
% 2.20/0.72 % (4169)Time elapsed: 0.039 s
% 2.20/0.72 % (4169)Instructions burned: 63 (million)
% 2.20/0.72 % (4169)------------------------------
% 2.20/0.72 % (4169)------------------------------
% 2.20/0.72 % (4172)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2996ds/453Mi)
% 2.20/0.73 % (4158)First to succeed.
% 2.20/0.74 % (4173)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2996ds/71Mi)
% 2.20/0.74 % (4172)Refutation not found, incomplete strategy
% 2.20/0.74 % (4172)------------------------------
% 2.20/0.74 % (4172)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.20/0.74 % (4172)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.74
% 2.20/0.74
% 2.20/0.74 % (4172)Memory used [KB]: 5628
% 2.20/0.74 % (4172)Time elapsed: 0.016 s
% 2.20/0.74 % (4172)Instructions burned: 23 (million)
% 2.20/0.74 % (4172)------------------------------
% 2.20/0.74 % (4172)------------------------------
% 2.20/0.74 % (4158)Refutation found. Thanks to Tanya!
% 2.20/0.74 % SZS status Theorem for theBenchmark
% 2.20/0.74 % SZS output start Proof for theBenchmark
% 2.20/0.74 thf(func_def_1, type, s: $i > $i).
% 2.20/0.74 thf(func_def_2, type, ite: $o > $i > $i > $i).
% 2.20/0.74 thf(func_def_17, type, ph1: !>[X0: $tType]:(X0)).
% 2.20/0.74 thf(f1616,plain,(
% 2.20/0.74 $false),
% 2.20/0.74 inference(avatar_sat_refutation,[],[f166,f170,f319,f1078,f1312,f1406,f1424,f1494,f1554,f1565,f1571,f1601,f1615])).
% 2.20/0.74 thf(f1615,plain,(
% 2.20/0.74 ~spl0_107),
% 2.20/0.74 inference(avatar_contradiction_clause,[],[f1614])).
% 2.20/0.74 thf(f1614,plain,(
% 2.20/0.74 $false | ~spl0_107),
% 2.20/0.74 inference(equality_resolution,[],[f1405])).
% 2.20/0.74 thf(f1405,plain,(
% 2.20/0.74 ( ! [X2 : $i] : (((s @ zero) != X2)) ) | ~spl0_107),
% 2.20/0.74 inference(avatar_component_clause,[],[f1404])).
% 2.20/0.74 thf(f1404,plain,(
% 2.20/0.74 spl0_107 <=> ! [X2] : ((s @ zero) != X2)),
% 2.20/0.74 introduced(avatar_definition,[new_symbols(naming,[spl0_107])])).
% 2.20/0.74 thf(f1601,plain,(
% 2.20/0.74 spl0_9 | spl0_4 | ~spl0_3),
% 2.20/0.74 inference(avatar_split_clause,[],[f1600,f64,f67,f121])).
% 2.20/0.74 thf(f121,plain,(
% 2.20/0.74 spl0_9 <=> ! [X6,X4 : $i > $i,X0 : $i > $i,X7,X5,X2 : $i > $o,X1] : (($false = (X2 @ (s @ zero))) | (zero != X5) | ((s @ zero) != (ite @ (X2 @ zero) @ (X4 @ zero) @ (X0 @ zero))) | ((X4 @ (s @ zero)) != X5) | ((X4 @ (s @ (s @ zero))) != X6) | (zero != X6) | ((X0 @ (s @ zero)) != X1) | ((X0 @ (s @ (s @ zero))) != X7) | ((X2 @ (s @ (s @ zero))) = $false))),
% 2.20/0.74 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 2.20/0.74 thf(f67,plain,(
% 2.20/0.74 spl0_4 <=> ! [X4 : $o] : ($false = X4)),
% 2.20/0.74 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 2.20/0.74 thf(f64,plain,(
% 2.20/0.74 spl0_3 <=> ! [X3 : $i > $i,X0,X5 : $i > $o,X2,X1 : $i > $i] : (((s @ zero) != (ite @ (X5 @ zero) @ (X1 @ zero) @ (X3 @ zero))) | ((X3 @ (s @ (s @ zero))) != X2) | ((X1 @ (s @ (s @ zero))) != X0) | ($false = (X5 @ (s @ (s @ zero)))) | (zero != (ite @ (X5 @ (s @ zero)) @ (X1 @ (s @ zero)) @ (X3 @ (s @ zero)))) | (zero != X0))),
% 2.20/0.74 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 2.20/0.74 thf(f1600,plain,(
% 2.20/0.74 ( ! [X2 : $i > $o,X3 : $o,X0 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $i,X5 : $i] : (((X0 @ (s @ zero)) != X1) | ((s @ zero) != (ite @ (X2 @ zero) @ (X4 @ zero) @ (X0 @ zero))) | ((X0 @ (s @ (s @ zero))) != X7) | (zero != X5) | ($false = (X2 @ (s @ zero))) | ($false = X3) | ((X4 @ (s @ (s @ zero))) != X6) | ((X2 @ (s @ (s @ zero))) = $false) | (zero != X6) | ((X4 @ (s @ zero)) != X5)) ) | ~spl0_3),
% 2.20/0.74 inference(duplicate_literal_removal,[],[f1599])).
% 2.20/0.74 thf(f1599,plain,(
% 2.20/0.74 ( ! [X2 : $i > $o,X3 : $o,X0 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $i,X5 : $i] : (((X2 @ (s @ (s @ zero))) = $false) | ((X4 @ (s @ zero)) != X5) | ($false = X3) | (zero != X6) | ($false = (X2 @ (s @ zero))) | ($false = X3) | ((X0 @ (s @ zero)) != X1) | ((X0 @ (s @ (s @ zero))) != X7) | (zero != X5) | ((X4 @ (s @ (s @ zero))) != X6) | ((s @ zero) != (ite @ (X2 @ zero) @ (X4 @ zero) @ (X0 @ zero)))) ) | ~spl0_3),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f1579])).
% 2.20/0.74 thf(f1579,plain,(
% 2.20/0.74 ( ! [X2 : $i > $o,X3 : $o,X0 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $i,X5 : $i] : (($false = X3) | ((X0 @ (s @ (s @ zero))) != X7) | ((s @ zero) != (ite @ (X2 @ zero) @ (X4 @ zero) @ (X0 @ zero))) | ((X0 @ (s @ zero)) != X1) | ((X2 @ (s @ (s @ zero))) = $false) | ((X4 @ (s @ zero)) != X5) | ((X4 @ (s @ (s @ zero))) != X6) | ((X2 @ (s @ zero)) != X3) | (zero != X6) | (zero != X5)) ) | ~spl0_3),
% 2.20/0.74 inference(constrained_superposition,[],[f65,f30])).
% 2.20/0.74 thf(f30,plain,(
% 2.20/0.74 ( ! [X2 : $i,X3 : $i,X1 : $o] : (((ite @ X1 @ X3 @ X2) = X3) | ($false = X1)) )),
% 2.20/0.74 inference(equality_proxy_clausification,[],[f29])).
% 2.20/0.74 thf(f29,plain,(
% 2.20/0.74 ( ! [X2 : $i,X3 : $i,X1 : $o] : (($false = X1) | (((ite @ X1 @ X3 @ X2) = X3) = $true)) )),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f28])).
% 2.20/0.74 thf(f28,plain,(
% 2.20/0.74 ( ! [X2 : $i,X3 : $i,X1 : $o] : (((X1 => ((ite @ X1 @ X3 @ X2) = X3)) = $true)) )),
% 2.20/0.74 inference(beta_eta_normalization,[],[f27])).
% 2.20/0.74 thf(f27,plain,(
% 2.20/0.74 ( ! [X2 : $i,X3 : $i,X1 : $o] : (($true = ((^[Y0 : $i]: (X1 => ((ite @ X1 @ Y0 @ X2) = Y0))) @ X3))) )),
% 2.20/0.74 inference(pi_clausification,[],[f26])).
% 2.20/0.74 thf(f26,plain,(
% 2.20/0.74 ( ! [X2 : $i,X1 : $o] : (((!! @ $i @ (^[Y0 : $i]: (X1 => ((ite @ X1 @ Y0 @ X2) = Y0)))) = $true)) )),
% 2.20/0.74 inference(beta_eta_normalization,[],[f25])).
% 2.20/0.74 thf(f25,plain,(
% 2.20/0.74 ( ! [X2 : $i,X1 : $o] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 => ((ite @ X1 @ Y1 @ Y0) = Y1))))) @ X2))) )),
% 2.20/0.74 inference(pi_clausification,[],[f24])).
% 2.20/0.74 thf(f24,plain,(
% 2.20/0.74 ( ! [X1 : $o] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X1 => ((ite @ X1 @ Y1 @ Y0) = Y1)))))))) )),
% 2.20/0.74 inference(beta_eta_normalization,[],[f23])).
% 2.20/0.74 thf(f23,plain,(
% 2.20/0.74 ( ! [X1 : $o] : (($true = ((^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 => ((ite @ Y0 @ Y2 @ Y1) = Y2))))))) @ X1))) )),
% 2.20/0.74 inference(pi_clausification,[],[f22])).
% 2.20/0.74 thf(f22,plain,(
% 2.20/0.74 ((!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 => ((ite @ Y0 @ Y2 @ Y1) = Y2)))))))) = $true)),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f20])).
% 2.20/0.74 thf(f20,plain,(
% 2.20/0.74 (((!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 => ((ite @ Y0 @ Y2 @ Y1) = Y2)))))))) & (!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ Y0) => ((ite @ Y0 @ Y2 @ Y1) = Y1))))))))) = $true)),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f18])).
% 2.20/0.74 thf(f18,plain,(
% 2.20/0.74 ($true = (((!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 => ((ite @ Y0 @ Y2 @ Y1) = Y2)))))))) & (!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ Y0) => ((ite @ Y0 @ Y2 @ Y1) = Y1))))))))) & (!! @ $i @ (^[Y0 : $i]: (~ (zero = (s @ Y0)))))))),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f9])).
% 2.20/0.74 thf(f9,plain,(
% 2.20/0.74 ($true = ((((!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 => ((ite @ Y0 @ Y2 @ Y1) = Y2)))))))) & (!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ Y0) => ((ite @ Y0 @ Y2 @ Y1) = Y1))))))))) & (!! @ $i @ (^[Y0 : $i]: (~ (zero = (s @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: (~ ((s @ Y0) = Y0))))))),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f7])).
% 2.20/0.74 thf(f7,plain,(
% 2.20/0.74 ((((((!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 => ((ite @ Y0 @ Y2 @ Y1) = Y2)))))))) & (!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ Y0) => ((ite @ Y0 @ Y2 @ Y1) = Y1))))))))) & (!! @ $i @ (^[Y0 : $i]: (~ (zero = (s @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: (~ ((s @ Y0) = Y0))))) => (?? @ ($i > $i) @ (^[Y0 : $i > $i]: (((zero = (Y0 @ (s @ (s @ zero)))) & (zero = (Y0 @ (s @ zero)))) & ((s @ zero) = (Y0 @ zero)))))) = $false)),
% 2.20/0.74 inference(not_proxy_clausification,[],[f6])).
% 2.20/0.74 thf(f6,plain,(
% 2.20/0.74 ((~ (((((!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 => ((ite @ Y0 @ Y2 @ Y1) = Y2)))))))) & (!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ Y0) => ((ite @ Y0 @ Y2 @ Y1) = Y1))))))))) & (!! @ $i @ (^[Y0 : $i]: (~ (zero = (s @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: (~ ((s @ Y0) = Y0))))) => (?? @ ($i > $i) @ (^[Y0 : $i > $i]: (((zero = (Y0 @ (s @ (s @ zero)))) & (zero = (Y0 @ (s @ zero)))) & ((s @ zero) = (Y0 @ zero))))))) = $true)),
% 2.20/0.74 inference(cnf_transformation,[],[f5])).
% 2.20/0.74 thf(f5,plain,(
% 2.20/0.74 ((~ (((((!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (Y0 => ((ite @ Y0 @ Y2 @ Y1) = Y2)))))))) & (!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ Y0) => ((ite @ Y0 @ Y2 @ Y1) = Y1))))))))) & (!! @ $i @ (^[Y0 : $i]: (~ (zero = (s @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: (~ ((s @ Y0) = Y0))))) => (?? @ ($i > $i) @ (^[Y0 : $i > $i]: (((zero = (Y0 @ (s @ (s @ zero)))) & (zero = (Y0 @ (s @ zero)))) & ((s @ zero) = (Y0 @ zero))))))) = $true)),
% 2.20/0.74 inference(fool_elimination,[],[f4])).
% 2.20/0.74 thf(f4,plain,(
% 2.20/0.74 ~((! [X0] : ((s @ X0) != X0) & ! [X1] : (zero != (s @ X1)) & ! [X2,X3,X4 : $o] : (~X4 => ((ite @ X4 @ X2 @ X3) = X3)) & ! [X5,X6,X7 : $o] : (X7 => ((ite @ X7 @ X5 @ X6) = X5))) => ? [X8 : $i > $i] : (((s @ zero) = (X8 @ zero)) & (zero = (X8 @ (s @ zero))) & (zero = (X8 @ (s @ (s @ zero))))))),
% 2.20/0.74 inference(rectify,[],[f2])).
% 2.20/0.74 thf(f2,negated_conjecture,(
% 2.20/0.74 ~((! [X3] : ((s @ X3) != X3) & ! [X3] : ((s @ X3) != zero) & ! [X1,X2,X0 : $o] : (~X0 => ((ite @ X0 @ X1 @ X2) = X2)) & ! [X1,X2,X0 : $o] : (X0 => ((ite @ X0 @ X1 @ X2) = X1))) => ? [X4 : $i > $i] : (((X4 @ zero) = (s @ zero)) & (zero = (X4 @ (s @ zero))) & (zero = (X4 @ (s @ (s @ zero))))))),
% 2.20/0.74 inference(negated_conjecture,[],[f1])).
% 2.20/0.74 thf(f1,conjecture,(
% 2.20/0.74 (! [X3] : ((s @ X3) != X3) & ! [X3] : ((s @ X3) != zero) & ! [X1,X2,X0 : $o] : (~X0 => ((ite @ X0 @ X1 @ X2) = X2)) & ! [X1,X2,X0 : $o] : (X0 => ((ite @ X0 @ X1 @ X2) = X1))) => ? [X4 : $i > $i] : (((X4 @ zero) = (s @ zero)) & (zero = (X4 @ (s @ zero))) & (zero = (X4 @ (s @ (s @ zero)))))),
% 2.20/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',n9)).
% 2.20/0.74 thf(f65,plain,(
% 2.20/0.74 ( ! [X2 : $i,X3 : $i > $i,X0 : $i,X1 : $i > $i,X5 : $i > $o] : ((zero != (ite @ (X5 @ (s @ zero)) @ (X1 @ (s @ zero)) @ (X3 @ (s @ zero)))) | ($false = (X5 @ (s @ (s @ zero)))) | ((X1 @ (s @ (s @ zero))) != X0) | (zero != X0) | ((s @ zero) != (ite @ (X5 @ zero) @ (X1 @ zero) @ (X3 @ zero))) | ((X3 @ (s @ (s @ zero))) != X2)) ) | ~spl0_3),
% 2.20/0.74 inference(avatar_component_clause,[],[f64])).
% 2.20/0.74 thf(f1571,plain,(
% 2.20/0.74 ~spl0_36),
% 2.20/0.74 inference(avatar_contradiction_clause,[],[f1570])).
% 2.20/0.74 thf(f1570,plain,(
% 2.20/0.74 $false | ~spl0_36),
% 2.20/0.74 inference(equality_resolution,[],[f396])).
% 2.20/0.74 thf(f396,plain,(
% 2.20/0.74 ( ! [X2 : $i] : ((zero != X2)) ) | ~spl0_36),
% 2.20/0.74 inference(avatar_component_clause,[],[f395])).
% 2.20/0.74 thf(f395,plain,(
% 2.20/0.74 spl0_36 <=> ! [X2] : (zero != X2)),
% 2.20/0.74 introduced(avatar_definition,[new_symbols(naming,[spl0_36])])).
% 2.20/0.74 thf(f1565,plain,(
% 2.20/0.74 spl0_4 | spl0_3),
% 2.20/0.74 inference(avatar_split_clause,[],[f1564,f64,f67])).
% 2.20/0.74 thf(f1564,plain,(
% 2.20/0.74 ( ! [X2 : $i > $o,X3 : $o,X0 : $i > $i,X1 : $i,X4 : $i > $i,X5 : $i] : (((X2 @ (s @ (s @ zero))) = $false) | ($false = X3) | ((X4 @ (s @ (s @ zero))) != X5) | (zero != (ite @ (X2 @ (s @ zero)) @ (X0 @ (s @ zero)) @ (X4 @ (s @ zero)))) | ((s @ zero) != (ite @ (X2 @ zero) @ (X0 @ zero) @ (X4 @ zero))) | (zero != X1) | ((X0 @ (s @ (s @ zero))) != X1)) )),
% 2.20/0.74 inference(duplicate_literal_removal,[],[f1563])).
% 2.20/0.74 thf(f1563,plain,(
% 2.20/0.74 ( ! [X2 : $i > $o,X3 : $o,X0 : $i > $i,X1 : $i,X4 : $i > $i,X5 : $i] : (((X4 @ (s @ (s @ zero))) != X5) | ($false = X3) | ((X2 @ (s @ (s @ zero))) = $false) | ((X0 @ (s @ (s @ zero))) != X1) | ($false = X3) | ((s @ zero) != (ite @ (X2 @ zero) @ (X0 @ zero) @ (X4 @ zero))) | (zero != X1) | (zero != (ite @ (X2 @ (s @ zero)) @ (X0 @ (s @ zero)) @ (X4 @ (s @ zero))))) )),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f1561])).
% 2.20/0.74 thf(f1561,plain,(
% 2.20/0.74 ( ! [X2 : $i > $o,X3 : $o,X0 : $i > $i,X1 : $i,X4 : $i > $i,X5 : $i] : (((X2 @ (s @ (s @ zero))) != X3) | ($false = X3) | (zero != X1) | ((s @ zero) != (ite @ (X2 @ zero) @ (X0 @ zero) @ (X4 @ zero))) | ((X0 @ (s @ (s @ zero))) != X1) | (zero != (ite @ (X2 @ (s @ zero)) @ (X0 @ (s @ zero)) @ (X4 @ (s @ zero)))) | ((X4 @ (s @ (s @ zero))) != X5)) )),
% 2.20/0.74 inference(beta_eta_normalization,[],[f1556])).
% 2.20/0.74 thf(f1556,plain,(
% 2.20/0.74 ( ! [X2 : $i > $o,X3 : $o,X0 : $i > $i,X1 : $i,X4 : $i > $i,X5 : $i] : (((X4 @ (s @ (s @ zero))) != X5) | ((X2 @ (s @ (s @ zero))) != X3) | (zero != X1) | ((s @ zero) != ((^[Y0 : $i]: (ite @ (X2 @ Y0) @ (X0 @ Y0) @ (X4 @ Y0))) @ zero)) | ($false = X3) | ((X0 @ (s @ (s @ zero))) != X1) | (zero != ((^[Y0 : $i]: (ite @ (X2 @ Y0) @ (X0 @ Y0) @ (X4 @ Y0))) @ (s @ zero)))) )),
% 2.20/0.74 inference(constrained_superposition,[],[f16,f30])).
% 2.20/0.74 thf(f16,plain,(
% 2.20/0.74 ( ! [X1 : $i > $i] : ((zero != (X1 @ (s @ (s @ zero)))) | ((s @ zero) != (X1 @ zero)) | (zero != (X1 @ (s @ zero)))) )),
% 2.20/0.74 inference(equality_proxy_clausification,[],[f15])).
% 2.20/0.74 thf(f15,plain,(
% 2.20/0.74 ( ! [X1 : $i > $i] : ((zero != (X1 @ (s @ (s @ zero)))) | (((s @ zero) = (X1 @ zero)) = $false) | (zero != (X1 @ (s @ zero)))) )),
% 2.20/0.74 inference(equality_proxy_clausification,[],[f14])).
% 2.20/0.74 thf(f14,plain,(
% 2.20/0.74 ( ! [X1 : $i > $i] : (($false = (zero = (X1 @ (s @ zero)))) | (((s @ zero) = (X1 @ zero)) = $false) | (zero != (X1 @ (s @ (s @ zero))))) )),
% 2.20/0.74 inference(equality_proxy_clausification,[],[f13])).
% 2.20/0.74 thf(f13,plain,(
% 2.20/0.74 ( ! [X1 : $i > $i] : (($false = (zero = (X1 @ (s @ (s @ zero))))) | (((s @ zero) = (X1 @ zero)) = $false) | ($false = (zero = (X1 @ (s @ zero))))) )),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f12])).
% 2.20/0.74 thf(f12,plain,(
% 2.20/0.74 ( ! [X1 : $i > $i] : ((((zero = (X1 @ (s @ (s @ zero)))) & (zero = (X1 @ (s @ zero)))) = $false) | (((s @ zero) = (X1 @ zero)) = $false)) )),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f11])).
% 2.20/0.74 thf(f11,plain,(
% 2.20/0.74 ( ! [X1 : $i > $i] : (((((zero = (X1 @ (s @ (s @ zero)))) & (zero = (X1 @ (s @ zero)))) & ((s @ zero) = (X1 @ zero))) = $false)) )),
% 2.20/0.74 inference(beta_eta_normalization,[],[f10])).
% 2.20/0.74 thf(f10,plain,(
% 2.20/0.74 ( ! [X1 : $i > $i] : ((((^[Y0 : $i > $i]: (((zero = (Y0 @ (s @ (s @ zero)))) & (zero = (Y0 @ (s @ zero)))) & ((s @ zero) = (Y0 @ zero)))) @ X1) = $false)) )),
% 2.20/0.74 inference(pi_clausification,[],[f8])).
% 2.20/0.74 thf(f8,plain,(
% 2.20/0.74 ($false = (?? @ ($i > $i) @ (^[Y0 : $i > $i]: (((zero = (Y0 @ (s @ (s @ zero)))) & (zero = (Y0 @ (s @ zero)))) & ((s @ zero) = (Y0 @ zero))))))),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f7])).
% 2.20/0.74 thf(f1554,plain,(
% 2.20/0.74 ~spl0_98),
% 2.20/0.74 inference(avatar_contradiction_clause,[],[f1553])).
% 2.20/0.74 thf(f1553,plain,(
% 2.20/0.74 $false | ~spl0_98),
% 2.20/0.74 inference(trivial_inequality_removal,[],[f1551])).
% 2.20/0.74 thf(f1551,plain,(
% 2.20/0.74 (zero != zero) | ~spl0_98),
% 2.20/0.74 inference(superposition,[],[f43,f1077])).
% 2.20/0.74 thf(f1077,plain,(
% 2.20/0.74 (zero = (s @ (s @ zero))) | ~spl0_98),
% 2.20/0.74 inference(avatar_component_clause,[],[f1075])).
% 2.20/0.74 thf(f1075,plain,(
% 2.20/0.74 spl0_98 <=> (zero = (s @ (s @ zero)))),
% 2.20/0.74 introduced(avatar_definition,[new_symbols(naming,[spl0_98])])).
% 2.20/0.74 thf(f43,plain,(
% 2.20/0.74 ( ! [X1 : $i] : ((zero != (s @ X1))) )),
% 2.20/0.74 inference(equality_proxy_clausification,[],[f42])).
% 2.20/0.74 thf(f42,plain,(
% 2.20/0.74 ( ! [X1 : $i] : (((zero = (s @ X1)) = $false)) )),
% 2.20/0.74 inference(not_proxy_clausification,[],[f41])).
% 2.20/0.74 thf(f41,plain,(
% 2.20/0.74 ( ! [X1 : $i] : (((~ (zero = (s @ X1))) = $true)) )),
% 2.20/0.74 inference(beta_eta_normalization,[],[f40])).
% 2.20/0.74 thf(f40,plain,(
% 2.20/0.74 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (~ (zero = (s @ Y0)))) @ X1))) )),
% 2.20/0.74 inference(pi_clausification,[],[f19])).
% 2.20/0.74 thf(f19,plain,(
% 2.20/0.74 ($true = (!! @ $i @ (^[Y0 : $i]: (~ (zero = (s @ Y0))))))),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f18])).
% 2.20/0.74 thf(f1494,plain,(
% 2.20/0.74 ~spl0_97),
% 2.20/0.74 inference(avatar_contradiction_clause,[],[f1493])).
% 2.20/0.74 thf(f1493,plain,(
% 2.20/0.74 $false | ~spl0_97),
% 2.20/0.74 inference(trivial_inequality_removal,[],[f1488])).
% 2.20/0.74 thf(f1488,plain,(
% 2.20/0.74 (zero != zero) | ~spl0_97),
% 2.20/0.74 inference(superposition,[],[f47,f1073])).
% 2.20/0.74 thf(f1073,plain,(
% 2.20/0.74 (zero = (s @ zero)) | ~spl0_97),
% 2.20/0.74 inference(avatar_component_clause,[],[f1071])).
% 2.20/0.74 thf(f1071,plain,(
% 2.20/0.74 spl0_97 <=> (zero = (s @ zero))),
% 2.20/0.74 introduced(avatar_definition,[new_symbols(naming,[spl0_97])])).
% 2.20/0.74 thf(f47,plain,(
% 2.20/0.74 ( ! [X1 : $i] : (((s @ X1) != X1)) )),
% 2.20/0.74 inference(equality_proxy_clausification,[],[f46])).
% 2.20/0.74 thf(f46,plain,(
% 2.20/0.74 ( ! [X1 : $i] : ((((s @ X1) = X1) = $false)) )),
% 2.20/0.74 inference(not_proxy_clausification,[],[f45])).
% 2.20/0.74 thf(f45,plain,(
% 2.20/0.74 ( ! [X1 : $i] : (($true = (~ ((s @ X1) = X1)))) )),
% 2.20/0.74 inference(beta_eta_normalization,[],[f44])).
% 2.20/0.74 thf(f44,plain,(
% 2.20/0.74 ( ! [X1 : $i] : ((((^[Y0 : $i]: (~ ((s @ Y0) = Y0))) @ X1) = $true)) )),
% 2.20/0.74 inference(pi_clausification,[],[f17])).
% 2.20/0.74 thf(f17,plain,(
% 2.20/0.74 ((!! @ $i @ (^[Y0 : $i]: (~ ((s @ Y0) = Y0)))) = $true)),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f9])).
% 2.20/0.74 thf(f1424,plain,(
% 2.20/0.74 spl0_81 | spl0_80 | spl0_82 | spl0_7 | ~spl0_9),
% 2.20/0.74 inference(avatar_split_clause,[],[f1423,f121,f92,f903,f897,f900])).
% 2.20/0.74 thf(f900,plain,(
% 2.20/0.74 spl0_81 <=> ! [X0 : $i > $i,X6,X1,X7] : (((X0 @ (s @ zero)) != X6) | ((X0 @ (s @ (s @ zero))) != X7) | (zero != X7) | (zero != X6) | ((X0 @ zero) != X1))),
% 2.20/0.74 introduced(avatar_definition,[new_symbols(naming,[spl0_81])])).
% 2.20/0.74 thf(f897,plain,(
% 2.20/0.74 spl0_80 <=> ! [X2 : $i > $o] : (($false = (X2 @ (s @ zero))) | ((X2 @ (s @ (s @ zero))) = $false) | ((X2 @ zero) = $true))),
% 2.20/0.74 introduced(avatar_definition,[new_symbols(naming,[spl0_80])])).
% 2.20/0.74 thf(f903,plain,(
% 2.20/0.74 spl0_82 <=> ! [X5,X4 : $i > $i,X9,X8] : (((s @ zero) != X5) | ((X4 @ (s @ zero)) != X9) | ((X4 @ zero) != X5) | ((X4 @ (s @ (s @ zero))) != X8))),
% 2.20/0.74 introduced(avatar_definition,[new_symbols(naming,[spl0_82])])).
% 2.20/0.74 thf(f92,plain,(
% 2.20/0.74 spl0_7 <=> ! [X4 : $o] : ($true = X4)),
% 2.20/0.74 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 2.20/0.74 thf(f1423,plain,(
% 2.20/0.74 ( ! [X2 : $i > $o,X3 : $o,X0 : $i > $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i > $i,X5 : $i] : ((zero != X6) | ((X0 @ (s @ (s @ zero))) != X7) | (zero != X7) | ((X4 @ (s @ (s @ zero))) != X8) | ($false = (X2 @ (s @ zero))) | ((X2 @ zero) = $true) | ((X0 @ zero) != X1) | ((X4 @ (s @ zero)) != X9) | ((s @ zero) != X5) | ($true = X3) | ((X0 @ (s @ zero)) != X6) | ((X4 @ zero) != X5) | ((X2 @ (s @ (s @ zero))) = $false)) ) | ~spl0_9),
% 2.20/0.74 inference(duplicate_literal_removal,[],[f1421])).
% 2.20/0.74 thf(f1421,plain,(
% 2.20/0.74 ( ! [X2 : $i > $o,X3 : $o,X0 : $i > $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i > $i,X5 : $i] : (((X0 @ (s @ (s @ zero))) != X7) | ((X0 @ (s @ zero)) != X6) | ((X4 @ (s @ (s @ zero))) != X8) | ($true = X3) | ($true = X3) | ((s @ zero) != X5) | (zero != X6) | ((X2 @ (s @ (s @ zero))) = $false) | (zero != X7) | ((X4 @ zero) != X5) | ((X0 @ zero) != X1) | ((X2 @ zero) = $true) | ((X4 @ (s @ zero)) != X9) | ($false = (X2 @ (s @ zero)))) ) | ~spl0_9),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f1363])).
% 2.20/0.74 thf(f1363,plain,(
% 2.20/0.74 ( ! [X2 : $i > $o,X3 : $o,X0 : $i > $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i > $i,X5 : $i] : (((X4 @ (s @ (s @ zero))) != X8) | ((X0 @ (s @ (s @ zero))) != X7) | ((X2 @ (s @ (s @ zero))) = $false) | ((s @ zero) != X5) | ((X0 @ zero) != X1) | ((X4 @ zero) != X5) | ((X0 @ (s @ zero)) != X6) | ((X2 @ zero) != X3) | (zero != X6) | ($false = (X2 @ (s @ zero))) | ((X4 @ (s @ zero)) != X9) | ($true = X3) | (zero != X7)) ) | ~spl0_9),
% 2.20/0.74 inference(constrained_superposition,[],[f122,f39])).
% 2.20/0.74 thf(f39,plain,(
% 2.20/0.74 ( ! [X2 : $i,X3 : $i,X1 : $o] : (((ite @ X1 @ X3 @ X2) = X2) | ($true = X1)) )),
% 2.20/0.74 inference(not_proxy_clausification,[],[f38])).
% 2.20/0.74 thf(f38,plain,(
% 2.20/0.74 ( ! [X2 : $i,X3 : $i,X1 : $o] : (((ite @ X1 @ X3 @ X2) = X2) | ((~ X1) = $false)) )),
% 2.20/0.74 inference(equality_proxy_clausification,[],[f37])).
% 2.20/0.74 thf(f37,plain,(
% 2.20/0.74 ( ! [X2 : $i,X3 : $i,X1 : $o] : (($true = ((ite @ X1 @ X3 @ X2) = X2)) | ((~ X1) = $false)) )),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f36])).
% 2.20/0.74 thf(f36,plain,(
% 2.20/0.74 ( ! [X2 : $i,X3 : $i,X1 : $o] : (($true = ((~ X1) => ((ite @ X1 @ X3 @ X2) = X2)))) )),
% 2.20/0.74 inference(beta_eta_normalization,[],[f35])).
% 2.20/0.74 thf(f35,plain,(
% 2.20/0.74 ( ! [X2 : $i,X3 : $i,X1 : $o] : (($true = ((^[Y0 : $i]: ((~ X1) => ((ite @ X1 @ Y0 @ X2) = X2))) @ X3))) )),
% 2.20/0.74 inference(pi_clausification,[],[f34])).
% 2.20/0.74 thf(f34,plain,(
% 2.20/0.74 ( ! [X2 : $i,X1 : $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ X1) => ((ite @ X1 @ Y0 @ X2) = X2)))) = $true)) )),
% 2.20/0.74 inference(beta_eta_normalization,[],[f33])).
% 2.20/0.74 thf(f33,plain,(
% 2.20/0.74 ( ! [X2 : $i,X1 : $o] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ X1) => ((ite @ X1 @ Y1 @ Y0) = Y0))))) @ X2))) )),
% 2.20/0.74 inference(pi_clausification,[],[f32])).
% 2.20/0.74 thf(f32,plain,(
% 2.20/0.74 ( ! [X1 : $o] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ X1) => ((ite @ X1 @ Y1 @ Y0) = Y0)))))))) )),
% 2.20/0.74 inference(beta_eta_normalization,[],[f31])).
% 2.20/0.74 thf(f31,plain,(
% 2.20/0.74 ( ! [X1 : $o] : (($true = ((^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ Y0) => ((ite @ Y0 @ Y2 @ Y1) = Y1))))))) @ X1))) )),
% 2.20/0.74 inference(pi_clausification,[],[f21])).
% 2.20/0.74 thf(f21,plain,(
% 2.20/0.74 ((!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ Y0) => ((ite @ Y0 @ Y2 @ Y1) = Y1)))))))) = $true)),
% 2.20/0.74 inference(binary_proxy_clausification,[],[f20])).
% 2.20/0.74 thf(f122,plain,(
% 2.20/0.74 ( ! [X2 : $i > $o,X0 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $i,X5 : $i] : (((s @ zero) != (ite @ (X2 @ zero) @ (X4 @ zero) @ (X0 @ zero))) | ((X0 @ (s @ (s @ zero))) != X7) | ($false = (X2 @ (s @ zero))) | ((X0 @ (s @ zero)) != X1) | ((X2 @ (s @ (s @ zero))) = $false) | (zero != X5) | (zero != X6) | ((X4 @ (s @ (s @ zero))) != X6) | ((X4 @ (s @ zero)) != X5)) ) | ~spl0_9),
% 2.20/0.74 inference(avatar_component_clause,[],[f121])).
% 2.20/0.74 thf(f1406,plain,(
% 2.20/0.74 spl0_107 | spl0_107 | ~spl0_82),
% 2.20/0.74 inference(avatar_split_clause,[],[f1394,f903,f1404,f1404])).
% 2.20/0.74 thf(f1394,plain,(
% 2.20/0.74 ( ! [X2 : $i,X3 : $i] : (((s @ zero) != X3) | ((s @ zero) != X2)) ) | ~spl0_82),
% 2.20/0.74 inference(beta_eta_normalization,[],[f1391])).
% 2.20/0.74 thf(f1391,plain,(
% 2.20/0.74 ( ! [X2 : $i,X3 : $i] : ((((^[Y0 : $i]: (s @ ((^[Y1 : $i]: (zero)) @ Y0))) @ (s @ (s @ zero))) != X2) | (((^[Y0 : $i]: (s @ ((^[Y1 : $i]: (zero)) @ Y0))) @ (s @ zero)) != X3)) ) | ~spl0_82),
% 2.20/0.74 inference(equality_resolution,[],[f1356])).
% 2.20/0.74 thf(f1356,plain,(
% 2.20/0.74 ( ! [X2 : $i,X0 : $i > $i,X1 : $i] : (((s @ zero) != (X0 @ zero)) | ((X0 @ (s @ (s @ zero))) != X1) | ((X0 @ (s @ zero)) != X2)) ) | ~spl0_82),
% 2.20/0.74 inference(equality_resolution,[],[f904])).
% 2.20/0.74 thf(f904,plain,(
% 2.20/0.74 ( ! [X8 : $i,X9 : $i,X4 : $i > $i,X5 : $i] : (((s @ zero) != X5) | ((X4 @ (s @ zero)) != X9) | ((X4 @ zero) != X5) | ((X4 @ (s @ (s @ zero))) != X8)) ) | ~spl0_82),
% 2.20/0.74 inference(avatar_component_clause,[],[f903])).
% 2.20/0.74 thf(f1312,plain,(
% 2.20/0.74 spl0_36 | spl0_36 | ~spl0_81),
% 2.20/0.74 inference(avatar_split_clause,[],[f1311,f900,f395,f395])).
% 2.20/0.74 thf(f1311,plain,(
% 2.20/0.74 ( ! [X0 : $i,X1 : $i] : ((zero != X1) | (zero != X0)) ) | ~spl0_81),
% 2.20/0.74 inference(duplicate_literal_removal,[],[f1310])).
% 2.20/0.74 thf(f1310,plain,(
% 2.20/0.74 ( ! [X0 : $i,X1 : $i] : ((zero != X1) | (zero != X0) | (zero != X0)) ) | ~spl0_81),
% 2.20/0.74 inference(beta_eta_normalization,[],[f1307])).
% 2.20/0.74 thf(f1307,plain,(
% 2.20/0.74 ( ! [X0 : $i,X1 : $i] : ((((^[Y0 : $i]: (zero)) @ zero) != X1) | (zero != X0) | (((^[Y0 : $i]: (zero)) @ (s @ zero)) != X0)) ) | ~spl0_81),
% 2.20/0.74 inference(equality_resolution,[],[f1304])).
% 2.20/0.74 thf(f1304,plain,(
% 2.20/0.74 ( ! [X2 : $i,X0 : $i,X1 : $i > $i] : ((zero != (X1 @ (s @ (s @ zero)))) | (zero != X0) | ((X1 @ (s @ zero)) != X0) | ((X1 @ zero) != X2)) ) | ~spl0_81),
% 2.20/0.74 inference(equality_resolution,[],[f901])).
% 2.20/0.74 thf(f901,plain,(
% 2.20/0.74 ( ! [X0 : $i > $i,X1 : $i,X6 : $i,X7 : $i] : ((zero != X7) | ((X0 @ (s @ zero)) != X6) | ((X0 @ (s @ (s @ zero))) != X7) | ((X0 @ zero) != X1) | (zero != X6)) ) | ~spl0_81),
% 2.20/0.74 inference(avatar_component_clause,[],[f900])).
% 2.20/0.74 thf(f1078,plain,(
% 2.20/0.74 spl0_97 | spl0_98 | ~spl0_80),
% 2.20/0.74 inference(avatar_split_clause,[],[f1069,f897,f1075,f1071])).
% 2.20/0.74 thf(f1069,plain,(
% 2.20/0.74 (zero = (s @ zero)) | (zero = (s @ (s @ zero))) | ~spl0_80),
% 2.20/0.74 inference(equality_proxy_clausification,[],[f1068])).
% 2.20/0.74 thf(f1068,plain,(
% 2.20/0.74 (zero = (s @ (s @ zero))) | ((zero = (s @ zero)) = $true) | ~spl0_80),
% 2.20/0.74 inference(not_proxy_clausification,[],[f1058])).
% 2.20/0.74 thf(f1058,plain,(
% 2.20/0.74 (zero = (s @ (s @ zero))) | ((~ (zero = (s @ zero))) = $false) | ~spl0_80),
% 2.20/0.74 inference(beta_eta_normalization,[],[f1037])).
% 2.20/0.74 thf(f1037,plain,(
% 2.20/0.74 (((^[Y0 : $i]: (~ (zero = Y0))) @ (s @ zero)) = $false) | (zero = (s @ (s @ zero))) | ~spl0_80),
% 2.20/0.74 inference(leibniz_equality_elimination,[],[f898])).
% 2.20/0.74 thf(f898,plain,(
% 2.20/0.74 ( ! [X2 : $i > $o] : (((X2 @ (s @ (s @ zero))) = $false) | ((X2 @ zero) = $true) | ($false = (X2 @ (s @ zero)))) ) | ~spl0_80),
% 2.20/0.74 inference(avatar_component_clause,[],[f897])).
% 2.20/0.74 thf(f319,plain,(
% 2.20/0.74 spl0_5 | ~spl0_7),
% 2.20/0.74 inference(avatar_contradiction_clause,[],[f318])).
% 2.20/0.74 thf(f318,plain,(
% 2.20/0.74 $false | (spl0_5 | ~spl0_7)),
% 2.20/0.74 inference(equality_resolution,[],[f315])).
% 2.20/0.74 thf(f315,plain,(
% 2.20/0.74 ( ! [X0 : $o] : (($false != X0)) ) | (spl0_5 | ~spl0_7)),
% 2.20/0.74 inference(superposition,[],[f79,f93])).
% 2.20/0.74 thf(f93,plain,(
% 2.20/0.74 ( ! [X4 : $o] : (($true = X4)) ) | ~spl0_7),
% 2.20/0.74 inference(avatar_component_clause,[],[f92])).
% 2.20/0.74 thf(f79,plain,(
% 2.20/0.74 ($true != $false) | spl0_5),
% 2.20/0.74 inference(avatar_component_clause,[],[f77])).
% 2.20/0.74 thf(f77,plain,(
% 2.20/0.74 spl0_5 <=> ($true = $false)),
% 2.20/0.74 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 2.20/0.74 thf(f170,plain,(
% 2.20/0.74 ~spl0_5),
% 2.20/0.74 inference(avatar_contradiction_clause,[],[f169])).
% 2.20/0.74 thf(f169,plain,(
% 2.20/0.74 $false | ~spl0_5),
% 2.20/0.74 inference(trivial_inequality_removal,[],[f78])).
% 2.20/0.74 thf(f78,plain,(
% 2.20/0.74 ($true = $false) | ~spl0_5),
% 2.20/0.74 inference(avatar_component_clause,[],[f77])).
% 2.20/0.74 thf(f166,plain,(
% 2.20/0.74 ~spl0_4 | spl0_5),
% 2.20/0.74 inference(avatar_contradiction_clause,[],[f165])).
% 2.20/0.74 thf(f165,plain,(
% 2.20/0.74 $false | (~spl0_4 | spl0_5)),
% 2.20/0.74 inference(trivial_inequality_removal,[],[f162])).
% 2.20/0.74 thf(f162,plain,(
% 2.20/0.74 ($false != $false) | (~spl0_4 | spl0_5)),
% 2.20/0.74 inference(superposition,[],[f79,f68])).
% 2.20/0.74 thf(f68,plain,(
% 2.20/0.74 ( ! [X4 : $o] : (($false = X4)) ) | ~spl0_4),
% 2.20/0.74 inference(avatar_component_clause,[],[f67])).
% 2.20/0.74 % SZS output end Proof for theBenchmark
% 2.20/0.74 % (4158)------------------------------
% 2.20/0.74 % (4158)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.20/0.74 % (4158)Termination reason: Refutation
% 2.20/0.74
% 2.20/0.74 % (4158)Memory used [KB]: 6652
% 2.20/0.74 % (4158)Time elapsed: 0.175 s
% 2.20/0.74 % (4158)Instructions burned: 290 (million)
% 2.20/0.74 % (4158)------------------------------
% 2.20/0.74 % (4158)------------------------------
% 2.20/0.74 % (4117)Success in time 0.343 s
%------------------------------------------------------------------------------