0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.10/0.37	% Computer : n029.cluster.edu
0.10/0.37	% Model    : x86_64 x86_64
0.10/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.37	% Memory   : 8046.5625MB
0.10/0.37	% OS       : Linux 6.8.0-71-generic
0.10/0.37	% CPULimit : 1440
0.10/0.37	% WCLimit  : 180
0.10/0.37	% DateTime : Mon Jul 27 10:18:46 UTC 2026
0.10/0.38	% CPUTime  : 
0.10/0.38	Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.10/0.42	Running first-order theorem proving
0.10/0.42	Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
10.45/2.33	% (2711812)Detected formulas, will run a generic FOF schedule.
10.45/2.33	% (2711822)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3964471013:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi)
10.45/2.33	% (2711818)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3757985578:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi)
10.45/2.33	% (2711817)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4113763011:i=141193_1799 on theBenchmark for (1799ds/141193Mi)
10.45/2.33	% (2711819)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=947251947:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi)
10.45/2.33	% (2711820)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2282421469:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi)
10.45/2.33	% (2711823)dis-21_1_sil=8000:lcm=predicate:random_seed=2305651554:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_1799 on theBenchmark for (1799ds/129Mi)
10.45/2.33	% (2711820)Refutation not found, incomplete strategy
10.45/2.33	% (2711820)------------------------------
10.45/2.33	% (2711820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.45/2.33	% (2711820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.45/2.33	% (2711820)CaDiCaL version: 2.1.3
10.45/2.33	% (2711820)Termination reason: Refutation not found, incomplete strategy
10.45/2.33	% (2711820)Time elapsed: 0.001 s
10.45/2.33	% (2711820)Peak memory usage: 87 MB
10.45/2.33	% (2711822)Instruction limit reached! 
10.45/2.33	% (2711822)------------------------------
10.45/2.33	% (2711822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.45/2.33	% (2711822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.45/2.33	% (2711822)CaDiCaL version: 2.1.3
10.45/2.33	% (2711822)Termination reason: Instruction limit
10.45/2.33	% (2711822)Termination phase: Saturation
10.45/2.33	% (2711822)Time elapsed: 0.051 s
10.45/2.33	% (2711822)Peak memory usage: 89 MB
10.45/2.33	% (2711822)Instructions burned: 142 (million)
10.45/2.33	% (2711821)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=597817992:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi)
10.45/2.33	% (2711823)Instruction limit reached! 
10.45/2.33	% (2711823)------------------------------
10.45/2.33	% (2711823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.45/2.33	% (2711823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.45/2.33	% (2711823)CaDiCaL version: 2.1.3
10.45/2.33	% (2711823)Termination reason: Instruction limit
10.45/2.33	% (2711823)Termination phase: Saturation
10.45/2.33	% (2711823)Time elapsed: 0.078 s
10.45/2.33	% (2711823)Peak memory usage: 89 MB
10.45/2.33	% (2711823)Instructions burned: 130 (million)
10.45/2.33	% (2711821)Instruction limit reached! 
10.45/2.33	% (2711821)------------------------------
10.45/2.33	% (2711821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.45/2.33	% (2711821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.45/2.33	% (2711821)CaDiCaL version: 2.1.3
10.45/2.33	% (2711821)Termination reason: Instruction limit
10.45/2.33	% (2711821)Termination phase: Saturation
10.45/2.33	% (2711821)Time elapsed: 0.066 s
10.45/2.33	% (2711821)Peak memory usage: 87 MB
10.45/2.33	% (2711821)Instructions burned: 121 (million)
10.45/2.33	% (2711830)lrs+10_1_sil=8000:sp=occurrence:random_seed=3100680060:i=285:sd=3:ss=axioms:sgt=8_1798 on theBenchmark for (1798ds/285Mi)
10.45/2.33	% (2711830)Instruction limit reached! 
10.45/2.33	% (2711830)------------------------------
10.45/2.33	% (2711830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.45/2.33	% (2711830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.45/2.33	% (2711830)CaDiCaL version: 2.1.3
10.45/2.33	% (2711830)Termination reason: Instruction limit
10.45/2.33	% (2711830)Termination phase: Saturation
10.45/2.33	% (2711830)Time elapsed: 0.097 s
10.45/2.33	% (2711830)Peak memory usage: 91 MB
10.45/2.33	% (2711830)Instructions burned: 288 (million)
10.45/2.33	% (2711832)lrs+10_1_sil=32000:urr=on:br=off:random_seed=659749677:i=157:sd=1:gtg=position:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/157Mi)
10.45/2.33	% (2711820)------------------------------
10.45/2.33	% (2711820)------------------------------
10.45/2.33	% (2711833)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2191900466:i=325:sd=1:ss=axioms:sgt=32_1797 on theBenchmark for (1797ds/325Mi)
10.45/2.33	% (2711832)Instruction limit reached! 
10.45/2.33	% (2711832)------------------------------
10.45/2.33	% (2711832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.45/2.33	% (2711832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.45/2.33	% (2711832)CaDiCaL version: 2.1.3
10.45/2.33	% (2711832)Termination reason: Instruction limit
10.45/2.33	% (2711832)Termination phase: Saturation
10.45/2.33	% (2711832)Time elapsed: 0.095 s
10.45/2.33	% (2711832)Peak memory usage: 89 MB
10.45/2.33	% (2711832)Instructions burned: 158 (million)
10.45/2.33	% (2711835)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3167267587:s2a=on:i=248:s2at=1.23:gtg=position_1795 on theBenchmark for (1795ds/248Mi)
10.45/2.33	% (2711837)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3256310192:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_1795 on theBenchmark for (1795ds/294Mi)
10.45/2.33	% (2711837)Refutation not found, incomplete strategy
10.45/2.33	% (2711837)------------------------------
10.45/2.33	% (2711837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.45/2.33	% (2711837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.45/2.33	% (2711837)CaDiCaL version: 2.1.3
10.45/2.33	% (2711837)Termination reason: Refutation not found, incomplete strategy
10.45/2.33	% (2711837)Time elapsed: 0.001 s
10.45/2.33	% (2711837)Peak memory usage: 87 MB
10.45/2.33	% (2711835)Instruction limit reached! 
10.45/2.33	% (2711835)------------------------------
10.45/2.33	% (2711835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.45/2.33	% (2711835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.45/2.33	% (2711835)CaDiCaL version: 2.1.3
10.45/2.33	% (2711835)Termination reason: Instruction limit
10.45/2.33	% (2711835)Termination phase: Saturation
10.45/2.33	% (2711835)Time elapsed: 0.074 s
10.45/2.33	% (2711835)Peak memory usage: 89 MB
10.45/2.33	% (2711835)Instructions burned: 248 (million)
10.45/2.33	% (2711839)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=905256704:i=2350_1794 on theBenchmark for (1794ds/2350Mi)
10.45/2.33	% (2711833)Instruction limit reached! 
10.45/2.33	% (2711833)------------------------------
10.45/2.33	% (2711833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.45/2.33	% (2711833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.45/2.33	% (2711833)CaDiCaL version: 2.1.3
10.45/2.33	% (2711833)Termination reason: Instruction limit
10.45/2.33	% (2711833)Termination phase: Saturation
10.45/2.33	% (2711833)Time elapsed: 0.215 s
10.45/2.33	% (2711833)Peak memory usage: 92 MB
10.45/2.33	% (2711833)Instructions burned: 326 (million)
10.45/2.33	% (2711842)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3100819672:cts=off:i=113:fsr=off:ss=included:sgt=4_1793 on theBenchmark for (1793ds/113Mi)
10.45/2.33	% (2711842)Instruction limit reached! 
10.45/2.33	% (2711842)------------------------------
10.45/2.33	% (2711842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.45/2.33	% (2711842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.45/2.33	% (2711842)CaDiCaL version: 2.1.3
10.45/2.33	% (2711842)Termination reason: Instruction limit
10.45/2.33	% (2711842)Termination phase: Saturation
10.45/2.33	% (2711842)Time elapsed: 0.037 s
10.45/2.33	% (2711842)Peak memory usage: 89 MB
10.45/2.33	% (2711842)Instructions burned: 114 (million)
10.45/2.33	% (2711837)------------------------------
10.45/2.33	% (2711837)------------------------------
10.45/2.33	% (2711844)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1080300392:i=127:av=off:fsr=off:sup=off_1792 on theBenchmark for (1792ds/127Mi)
10.45/2.33	% (2711846)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4034901489:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_1792 on theBenchmark for (1792ds/114Mi)
10.45/2.33	% (2711846)Instruction limit reached! 
10.45/2.33	% (2711846)------------------------------
10.45/2.33	% (2711846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.93/2.53	% (2711846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.93/2.53	% (2711846)CaDiCaL version: 2.1.3
10.93/2.53	% (2711846)Termination reason: Instruction limit
10.93/2.53	% (2711846)Termination phase: Saturation
10.93/2.53	% (2711846)Time elapsed: 0.042 s
10.93/2.53	% (2711846)Peak memory usage: 89 MB
10.93/2.53	% (2711846)Instructions burned: 117 (million)
10.93/2.53	% (2711844)Instruction limit reached! 
10.93/2.53	% (2711844)------------------------------
10.93/2.53	% (2711844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.93/2.53	% (2711844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.93/2.53	% (2711844)CaDiCaL version: 2.1.3
10.93/2.53	% (2711844)Termination reason: Instruction limit
10.93/2.53	% (2711844)Termination phase: Saturation
10.93/2.53	% (2711844)Time elapsed: 0.073 s
10.93/2.53	% (2711844)Peak memory usage: 88 MB
10.93/2.53	% (2711844)Instructions burned: 128 (million)
10.93/2.53	% (2711847)lrs+10_1_sil=8000:sp=occurrence:random_seed=1599436978:st=1.2:i=907:sd=14:ss=axioms:sgt=12_1791 on theBenchmark for (1791ds/907Mi)
10.93/2.53	% (2711850)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3035159127:i=437:sd=1:aac=none:ss=included_1790 on theBenchmark for (1790ds/437Mi)
10.93/2.53	% (2711850)Refutation not found, incomplete strategy
10.93/2.53	% (2711850)------------------------------
10.93/2.53	% (2711850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.93/2.53	% (2711850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.93/2.53	% (2711850)CaDiCaL version: 2.1.3
10.93/2.53	% (2711850)Termination reason: Refutation not found, incomplete strategy
10.93/2.53	% (2711850)Time elapsed: 0.0000 s
10.93/2.53	% (2711850)Peak memory usage: 87 MB
10.93/2.53	% (2711818)First to succeed.
10.93/2.53	% (2711818)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2711812"
10.93/2.53	% (2711851)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1481361094:i=5202:ss=axioms:sgt=16_1790 on theBenchmark for (1790ds/5202Mi)
10.93/2.53	% (2711850)------------------------------
10.93/2.53	% (2711850)------------------------------
10.93/2.53	% (2711855)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2771290805:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_1787 on theBenchmark for (1787ds/134Mi)
10.93/2.53	% (2711855)Instruction limit reached! 
10.93/2.53	% (2711855)------------------------------
10.93/2.53	% (2711855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.93/2.53	% (2711855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.93/2.53	% (2711855)CaDiCaL version: 2.1.3
10.93/2.53	% (2711855)Termination reason: Instruction limit
10.93/2.53	% (2711855)Termination phase: Saturation
10.93/2.53	% (2711855)Time elapsed: 0.041 s
10.93/2.53	% (2711855)Peak memory usage: 89 MB
10.93/2.53	% (2711855)Instructions burned: 137 (million)
10.93/2.53	% (2711818)Refutation found. Thanks to Tanya!
10.93/2.53	% SZS status Theorem for theBenchmark
10.93/2.53	% SZS output start Proof for theBenchmark
10.93/2.53	fof(f1,conjecture,(
10.93/2.53	  is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,y),z))))),
10.93/2.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_25)).
10.93/2.53	fof(f2,negated_conjecture,(
10.93/2.53	  ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,y),z))))),
10.93/2.53	  inference(negated_conjecture,[status(cth)],[f1])).
10.93/2.53	fof(f3,axiom,(
10.93/2.53	  ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))),
10.93/2.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1)).
10.93/2.53	fof(f4,axiom,(
10.93/2.53	  ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))),
10.93/2.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2)).
10.93/2.53	fof(f5,axiom,(
10.93/2.53	  ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))),
10.93/2.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3)).
10.93/2.53	fof(f6,axiom,(
10.93/2.53	  ! [X0,X1] : ((is_a_theorem(implies(X0,X1)) & is_a_theorem(X0)) => is_a_theorem(X1))),
10.93/2.53	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)).
10.93/2.53	fof(f7,plain,(
10.93/2.53	  ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,y),z))))),
10.93/2.53	  inference(flattening,[],[f2])).
10.93/2.53	fof(f8,plain,(
10.93/2.53	  ! [X0,X1] : (is_a_theorem(X1) | (~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0)))),
10.93/2.53	  inference(ennf_transformation,[],[f6])).
10.93/2.53	fof(f9,plain,(
10.93/2.53	  ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0))),
10.93/2.53	  inference(flattening,[],[f8])).
10.93/2.53	fof(f10,plain,(
10.93/2.53	  ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,y),z))))),
10.93/2.53	  inference(cnf_transformation,[],[f7])).
10.93/2.53	fof(f11,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))) )),
10.93/2.53	  inference(cnf_transformation,[],[f3])).
10.93/2.53	fof(f12,plain,(
10.93/2.53	  ( ! [X0] : (is_a_theorem(implies(implies(not(X0),X0),X0))) )),
10.93/2.53	  inference(cnf_transformation,[],[f4])).
10.93/2.53	fof(f13,plain,(
10.93/2.53	  ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(not(X0),X1)))) )),
10.93/2.53	  inference(cnf_transformation,[],[f5])).
10.93/2.53	fof(f14,plain,(
10.93/2.53	  ( ! [X0,X1] : (~is_a_theorem(implies(X0,X1)) | is_a_theorem(X1) | ~is_a_theorem(X0)) )),
10.93/2.53	  inference(cnf_transformation,[],[f9])).
10.93/2.53	fof(f15,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(X2,X0)) | is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))) )),
10.93/2.53	  inference(resolution,[],[f14,f11])).
10.93/2.53	fof(f16,plain,(
10.93/2.53	  ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))) )),
10.93/2.53	  inference(resolution,[],[f15,f11])).
10.93/2.53	fof(f18,plain,(
10.93/2.53	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2)) | is_a_theorem(implies(implies(X0,X1),X2))) )),
10.93/2.53	  inference(resolution,[],[f16,f14])).
10.93/2.53	fof(f19,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2)))) )),
10.93/2.53	  inference(resolution,[],[f13,f15])).
10.93/2.53	fof(f21,plain,(
10.93/2.53	  ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2)))))) )),
10.93/2.53	  inference(resolution,[],[f18,f16])).
10.93/2.53	fof(f22,plain,(
10.93/2.53	  ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3))))) )),
10.93/2.53	  inference(resolution,[],[f18,f11])).
10.93/2.53	fof(f26,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(implies(not(X0),X2),X1)) | is_a_theorem(implies(X0,X1))) )),
10.93/2.53	  inference(resolution,[],[f19,f14])).
10.93/2.53	fof(f27,plain,(
10.93/2.53	  ( ! [X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1)))) )),
10.93/2.53	  inference(resolution,[],[f12,f15])).
10.93/2.53	fof(f30,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2)))) )),
10.93/2.53	  inference(resolution,[],[f27,f15])).
10.93/2.53	fof(f31,plain,(
10.93/2.53	  ( ! [X0,X1] : (is_a_theorem(implies(implies(not(X0),X0),X1)) | ~is_a_theorem(implies(X0,X1))) )),
10.93/2.53	  inference(resolution,[],[f27,f14])).
10.93/2.53	fof(f34,plain,(
10.93/2.53	  ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3)))) | ~is_a_theorem(implies(X2,implies(X1,X3)))) )),
10.93/2.53	  inference(resolution,[],[f21,f14])).
10.93/2.53	fof(f37,plain,(
10.93/2.53	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X3,X1)) | is_a_theorem(implies(X0,implies(X3,X2))) | ~is_a_theorem(implies(X0,implies(X1,X2)))) )),
10.93/2.53	  inference(resolution,[],[f34,f14])).
10.93/2.53	fof(f58,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2))))) )),
10.93/2.53	  inference(resolution,[],[f30,f18])).
10.93/2.53	fof(f63,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X2),implies(implies(X1,X0),X2))))) )),
10.93/2.53	  inference(resolution,[],[f58,f18])).
10.93/2.53	fof(f67,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(X2,implies(not(X0),X0))) | is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))) )),
10.93/2.53	  inference(resolution,[],[f58,f14])).
10.93/2.53	fof(f85,plain,(
10.93/2.53	  ( ! [X2,X3,X0,X1,X4] : (is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2)),X4),implies(implies(X0,X3),X4)))) )),
10.93/2.53	  inference(resolution,[],[f22,f15])).
10.93/2.53	fof(f165,plain,(
10.93/2.53	  ( ! [X0,X1] : (~is_a_theorem(implies(not(X0),X0)) | is_a_theorem(X1) | ~is_a_theorem(implies(X0,X1))) )),
10.93/2.53	  inference(resolution,[],[f31,f14])).
10.93/2.53	fof(f168,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(implies(X2,X0),X1))))) )),
10.93/2.53	  inference(resolution,[],[f63,f26])).
10.93/2.53	fof(f260,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X1))) | ~is_a_theorem(X0)) )),
10.93/2.53	  inference(resolution,[],[f168,f14])).
10.93/2.53	fof(f293,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X1,X0),X2)) | ~is_a_theorem(X0) | ~is_a_theorem(implies(X0,X2))) )),
10.93/2.53	  inference(resolution,[],[f260,f14])).
10.93/2.53	fof(f297,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0) | is_a_theorem(implies(X2,X1))) )),
10.93/2.53	  inference(resolution,[],[f293,f26])).
10.93/2.53	fof(f319,plain,(
10.93/2.53	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(not(X0),X1),X2)) | is_a_theorem(implies(X3,implies(X0,X2)))) )),
10.93/2.53	  inference(resolution,[],[f297,f19])).
10.93/2.53	fof(f376,plain,(
10.93/2.53	  ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(X1,X1)))) )),
10.93/2.53	  inference(resolution,[],[f319,f12])).
10.93/2.53	fof(f402,plain,(
10.93/2.53	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,implies(implies(X3,X3),X2))) | is_a_theorem(implies(X0,implies(X1,X2)))) )),
10.93/2.53	  inference(resolution,[],[f376,f37])).
10.93/2.53	fof(f410,plain,(
10.93/2.53	  ( ! [X0,X1] : (~is_a_theorem(implies(implies(X1,X1),X0)) | is_a_theorem(X0)) )),
10.93/2.53	  inference(resolution,[],[f376,f165])).
10.93/2.53	fof(f472,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1))))) )),
10.93/2.53	  inference(resolution,[],[f402,f58])).
10.93/2.53	fof(f490,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X0),X0))))) )),
10.93/2.53	  inference(resolution,[],[f402,f168])).
10.93/2.53	fof(f504,plain,(
10.93/2.53	  ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1)))) )),
10.93/2.53	  inference(resolution,[],[f472,f410])).
10.93/2.53	fof(f534,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X1,X2)))) )),
10.93/2.53	  inference(resolution,[],[f490,f67])).
10.93/2.53	fof(f546,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,implies(X0,X2))))) )),
10.93/2.53	  inference(resolution,[],[f534,f18])).
10.93/2.53	fof(f571,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(X1,implies(X2,X0))) | is_a_theorem(implies(X0,implies(X1,X0)))) )),
10.93/2.53	  inference(resolution,[],[f546,f14])).
10.93/2.53	fof(f599,plain,(
10.93/2.53	  ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(X1,X0)))) )),
10.93/2.53	  inference(resolution,[],[f571,f504])).
10.93/2.53	fof(f620,plain,(
10.93/2.53	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,implies(implies(X3,X1),X2))) | is_a_theorem(implies(X0,implies(X1,X2)))) )),
10.93/2.53	  inference(resolution,[],[f599,f37])).
10.93/2.53	fof(f634,plain,(
10.93/2.53	  ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3)))) )),
10.93/2.53	  inference(resolution,[],[f620,f16])).
10.93/2.53	fof(f1061,plain,(
10.93/2.53	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(implies(X0,X2),implies(X3,X2)),X1)) | is_a_theorem(implies(X0,X1))) )),
10.93/2.53	  inference(resolution,[],[f634,f14])).
10.93/2.53	fof(f1077,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2))))) )),
10.93/2.53	  inference(resolution,[],[f1061,f472])).
10.93/2.53	fof(f1118,plain,(
10.93/2.53	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))) )),
10.93/2.53	  inference(resolution,[],[f1077,f67])).
10.93/2.53	fof(f1136,plain,(
10.93/2.53	  $false),
10.93/2.53	  inference(unit_resulting_resolution,[],[f14,f10,f85,f1118])).
10.93/2.53	% SZS output end Proof for theBenchmark
10.93/2.53	% (2711818)------------------------------
10.93/2.53	% (2711818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.93/2.53	% (2711818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.93/2.53	% (2711818)CaDiCaL version: 2.1.3
10.93/2.53	% (2711818)Termination reason: Refutation
10.93/2.53	% (2711818)Time elapsed: 0.910 s
10.93/2.53	% (2711818)Peak memory usage: 130 MB
10.93/2.53	% (2711818)Instructions burned: 1350 (million)
10.93/2.53	% (2711818)------------------------------
10.93/2.53	% (2711818)------------------------------
10.93/2.53	% (2711812)Success in time 1.453 s
10.93/2.53	% Vampire exiting
10.93/2.53	EOF