0.00/0.04	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.08	% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.16/0.43	% Computer : n019.cluster.edu
0.16/0.43	% Model    : x86_64 x86_64
0.16/0.43	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.16/0.43	% Memory   : 8046.5625MB
0.16/0.43	% OS       : Linux 6.8.0-71-generic
0.16/0.43	% CPULimit : 1440
0.16/0.43	% WCLimit  : 180
0.16/0.43	% DateTime : Mon Jul 27 10:12:53 UTC 2026
0.16/0.44	% CPUTime  : 
0.16/0.44	Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.16/0.49	Running first-order theorem proving
0.16/0.50	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
24.96/4.75	% (2299819)Detected formulas, will run a generic FOF schedule.
24.96/4.75	% (2299826)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=3473050870:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi)
24.96/4.75	% (2299827)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2413216470:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi)
24.96/4.75	% (2299830)dis-21_1_sil=8000:lcm=predicate:random_seed=2068218489: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)
24.96/4.75	% (2299824)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=1102111787:i=141193_1799 on theBenchmark for (1799ds/141193Mi)
24.96/4.75	% (2299825)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=1019677803:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi)
24.96/4.75	% (2299829)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1048727228:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi)
24.96/4.75	% (2299828)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=522886829:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi)
24.96/4.75	% (2299827)Refutation not found, incomplete strategy
24.96/4.75	% (2299827)------------------------------
24.96/4.75	% (2299827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
24.96/4.75	% (2299827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
24.96/4.75	% (2299827)CaDiCaL version: 2.1.3
24.96/4.75	% (2299827)Termination reason: Refutation not found, incomplete strategy
24.96/4.75	% (2299827)Time elapsed: 0.001 s
24.96/4.75	% (2299827)Peak memory usage: 87 MB
24.96/4.75	% (2299828)Instruction limit reached! 
24.96/4.75	% (2299828)------------------------------
24.96/4.75	% (2299828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
24.96/4.75	% (2299828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
24.96/4.75	% (2299828)CaDiCaL version: 2.1.3
24.96/4.75	% (2299828)Termination reason: Instruction limit
24.96/4.75	% (2299828)Termination phase: Saturation
24.96/4.75	% (2299828)Time elapsed: 0.099 s
24.96/4.75	% (2299828)Peak memory usage: 87 MB
24.96/4.75	% (2299828)Instructions burned: 120 (million)
24.96/4.75	% (2299830)Instruction limit reached! 
24.96/4.75	% (2299830)------------------------------
24.96/4.75	% (2299830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
24.96/4.75	% (2299830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
24.96/4.75	% (2299830)CaDiCaL version: 2.1.3
24.96/4.75	% (2299830)Termination reason: Instruction limit
24.96/4.75	% (2299830)Termination phase: Saturation
24.96/4.75	% (2299830)Time elapsed: 0.125 s
24.96/4.75	% (2299830)Peak memory usage: 88 MB
24.96/4.75	% (2299830)Instructions burned: 129 (million)
24.96/4.75	% (2299829)Instruction limit reached! 
24.96/4.75	% (2299829)------------------------------
24.96/4.75	% (2299829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
24.96/4.75	% (2299829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
24.96/4.75	% (2299829)CaDiCaL version: 2.1.3
24.96/4.75	% (2299829)Termination reason: Instruction limit
24.96/4.75	% (2299829)Termination phase: Saturation
24.96/4.75	% (2299829)Time elapsed: 0.168 s
24.96/4.75	% (2299829)Peak memory usage: 89 MB
24.96/4.75	% (2299829)Instructions burned: 139 (million)
24.96/4.75	% (2299838)lrs+10_1_sil=8000:sp=occurrence:random_seed=1748285845:i=285:sd=3:ss=axioms:sgt=8_1796 on theBenchmark for (1796ds/285Mi)
24.96/4.75	% (2299827)------------------------------
24.96/4.75	% (2299827)------------------------------
24.96/4.75	% (2299839)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2635011882:i=157:sd=1:gtg=position:ss=axioms:sgt=8_1796 on theBenchmark for (1796ds/157Mi)
24.96/4.75	% (2299840)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4210679077:i=325:sd=1:ss=axioms:sgt=32_1795 on theBenchmark for (1795ds/325Mi)
24.96/4.75	% (2299839)Instruction limit reached! 
24.96/4.75	% (2299839)------------------------------
24.96/4.75	% (2299839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
24.96/4.75	% (2299839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
26.20/5.02	% (2299839)CaDiCaL version: 2.1.3
26.20/5.02	% (2299839)Termination reason: Instruction limit
26.20/5.02	% (2299839)Termination phase: Saturation
26.20/5.02	% (2299839)Time elapsed: 0.143 s
26.20/5.02	% (2299839)Peak memory usage: 90 MB
26.20/5.02	% (2299839)Instructions burned: 158 (million)
26.20/5.02	% (2299843)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=1644508328:s2a=on:i=248:s2at=1.23:gtg=position_1793 on theBenchmark for (1793ds/248Mi)
26.20/5.02	% (2299838)Instruction limit reached! 
26.20/5.02	% (2299838)------------------------------
26.20/5.02	% (2299838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
26.20/5.02	% (2299838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
26.20/5.02	% (2299838)CaDiCaL version: 2.1.3
26.20/5.02	% (2299838)Termination reason: Instruction limit
26.20/5.02	% (2299838)Termination phase: Saturation
26.20/5.02	% (2299838)Time elapsed: 0.274 s
26.20/5.02	% (2299838)Peak memory usage: 90 MB
26.20/5.02	% (2299838)Instructions burned: 285 (million)
26.20/5.02	% (2299843)Instruction limit reached! 
26.20/5.02	% (2299843)------------------------------
26.20/5.02	% (2299843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
26.20/5.02	% (2299843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
26.20/5.02	% (2299843)CaDiCaL version: 2.1.3
26.20/5.02	% (2299843)Termination reason: Instruction limit
26.20/5.02	% (2299843)Termination phase: Saturation
26.20/5.02	% (2299843)Time elapsed: 0.114 s
26.20/5.02	% (2299843)Peak memory usage: 89 MB
26.20/5.02	% (2299843)Instructions burned: 249 (million)
26.20/5.02	% (2299840)Instruction limit reached! 
26.20/5.02	% (2299840)------------------------------
26.20/5.02	% (2299840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
26.20/5.02	% (2299840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
26.20/5.02	% (2299840)CaDiCaL version: 2.1.3
26.20/5.02	% (2299840)Termination reason: Instruction limit
26.20/5.02	% (2299840)Termination phase: Saturation
26.20/5.02	% (2299840)Time elapsed: 0.334 s
26.20/5.02	% (2299840)Peak memory usage: 93 MB
26.20/5.02	% (2299840)Instructions burned: 326 (million)
26.20/5.02	% (2299845)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=836806703:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_1792 on theBenchmark for (1792ds/294Mi)
26.20/5.02	% (2299845)Refutation not found, incomplete strategy
26.20/5.02	% (2299845)------------------------------
26.20/5.02	% (2299845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
26.20/5.02	% (2299845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
26.20/5.02	% (2299845)CaDiCaL version: 2.1.3
26.20/5.02	% (2299845)Termination reason: Refutation not found, incomplete strategy
26.20/5.02	% (2299845)Time elapsed: 0.002 s
26.20/5.02	% (2299845)Peak memory usage: 88 MB
26.20/5.02	% (2299847)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3044589:i=2350_1791 on theBenchmark for (1791ds/2350Mi)
26.20/5.02	% (2299848)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2584285273:cts=off:i=113:fsr=off:ss=included:sgt=4_1790 on theBenchmark for (1790ds/113Mi)
26.20/5.02	% (2299849)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2588608726:i=127:av=off:fsr=off:sup=off_1789 on theBenchmark for (1789ds/127Mi)
26.20/5.02	% (2299848)Instruction limit reached! 
26.20/5.02	% (2299848)------------------------------
26.20/5.02	% (2299848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
26.20/5.02	% (2299848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
26.20/5.02	% (2299848)CaDiCaL version: 2.1.3
26.20/5.02	% (2299848)Termination reason: Instruction limit
26.20/5.02	% (2299848)Termination phase: Saturation
26.20/5.02	% (2299848)Time elapsed: 0.116 s
26.20/5.02	% (2299848)Peak memory usage: 89 MB
26.20/5.02	% (2299848)Instructions burned: 114 (million)
26.20/5.02	% (2299849)Instruction limit reached! 
26.20/5.02	% (2299849)------------------------------
26.20/5.02	% (2299849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
26.20/5.02	% (2299849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
26.20/5.02	% (2299849)CaDiCaL version: 2.1.3
26.20/5.02	% (2299849)Termination reason: Instruction limit
26.20/5.02	% (2299849)Termination phase: Saturation
26.20/5.02	% (2299849)Time elapsed: 0.116 s
26.20/5.02	% (2299849)Peak memory usage: 88 MB
26.20/5.02	% (2299849)Instructions burned: 127 (million)
26.20/5.02	% (2299845)------------------------------
26.20/5.02	% (2299845)------------------------------
26.20/5.02	% (2299854)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=114158874:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_1786 on theBenchmark for (1786ds/114Mi)
26.20/5.02	% (2299855)lrs+10_1_sil=8000:sp=occurrence:random_seed=2350231005:st=1.2:i=907:sd=14:ss=axioms:sgt=12_1785 on theBenchmark for (1785ds/907Mi)
26.20/5.02	% (2299856)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1636451465:i=437:sd=1:aac=none:ss=included_1785 on theBenchmark for (1785ds/437Mi)
26.20/5.02	% (2299856)Refutation not found, incomplete strategy
26.20/5.02	% (2299856)------------------------------
26.20/5.02	% (2299856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
26.20/5.02	% (2299856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
26.20/5.02	% (2299856)CaDiCaL version: 2.1.3
26.20/5.02	% (2299856)Termination reason: Refutation not found, incomplete strategy
26.20/5.02	% (2299856)Time elapsed: 0.001 s
26.20/5.02	% (2299856)Peak memory usage: 87 MB
26.20/5.02	% (2299854)Instruction limit reached! 
26.20/5.02	% (2299854)------------------------------
26.20/5.02	% (2299854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
26.20/5.02	% (2299854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
26.20/5.02	% (2299854)CaDiCaL version: 2.1.3
26.20/5.02	% (2299854)Termination reason: Instruction limit
26.20/5.02	% (2299854)Termination phase: Saturation
26.20/5.02	% (2299854)Time elapsed: 0.120 s
26.20/5.02	% (2299854)Peak memory usage: 89 MB
26.20/5.02	% (2299854)Instructions burned: 115 (million)
26.20/5.02	% (2299860)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2061894394:i=5202:ss=axioms:sgt=16_1782 on theBenchmark for (1782ds/5202Mi)
26.20/5.02	% (2299856)------------------------------
26.20/5.02	% (2299856)------------------------------
26.20/5.02	% (2299862)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1962726784:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_1778 on theBenchmark for (1778ds/134Mi)
26.20/5.02	% (2299855)Instruction limit reached! 
26.20/5.02	% (2299855)------------------------------
26.20/5.02	% (2299855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
26.20/5.02	% (2299855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
26.20/5.02	% (2299855)CaDiCaL version: 2.1.3
26.20/5.02	% (2299855)Termination reason: Instruction limit
26.20/5.02	% (2299855)Termination phase: Saturation
26.20/5.02	% (2299855)Time elapsed: 0.881 s
26.20/5.02	% (2299855)Peak memory usage: 95 MB
26.20/5.02	% (2299855)Instructions burned: 907 (million)
26.20/5.02	% (2299862)Instruction limit reached! 
26.20/5.02	% (2299862)------------------------------
26.20/5.02	% (2299862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
26.20/5.02	% (2299862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
26.20/5.02	% (2299862)CaDiCaL version: 2.1.3
26.20/5.02	% (2299862)Termination reason: Instruction limit
26.20/5.02	% (2299862)Termination phase: Saturation
26.20/5.02	% (2299862)Time elapsed: 0.118 s
26.20/5.02	% (2299862)Peak memory usage: 89 MB
26.20/5.02	% (2299862)Instructions burned: 135 (million)
26.20/5.02	% (2299865)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=531650224:st=3:i=13193:sd=3:ss=axioms_1774 on theBenchmark for (1774ds/13193Mi)
26.20/5.02	% (2299864)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1993260068:st=8:i=592:sd=3:ep=RST:ss=axioms_1774 on theBenchmark for (1774ds/592Mi)
26.20/5.02	% (2299864)Refutation not found, incomplete strategy
26.20/5.02	% (2299864)------------------------------
26.20/5.02	% (2299864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
26.20/5.02	% (2299864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
26.20/5.02	% (2299864)CaDiCaL version: 2.1.3
26.20/5.02	% (2299864)Termination reason: Refutation not found, incomplete strategy
26.20/5.02	% (2299864)Time elapsed: 0.001 s
26.20/5.02	% (2299864)Peak memory usage: 87 MB
26.20/5.02	% (2299864)------------------------------
26.20/5.02	% (2299864)------------------------------
26.20/5.02	% (2299824)First to succeed.
26.20/5.02	% (2299824)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2299819"
26.20/5.02	% (2299868)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1306433133:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_1767 on theBenchmark for (1767ds/125Mi)
26.20/5.02	% (2299847)Also succeeded, but the first one will report.
26.20/5.02	% (2299868)Instruction limit reached! 
26.20/5.02	% (2299868)------------------------------
26.20/5.02	% (2299868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
26.20/5.02	% (2299868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
26.20/5.02	% (2299868)CaDiCaL version: 2.1.3
26.20/5.02	% (2299868)Termination reason: Instruction limit
26.20/5.02	% (2299868)Termination phase: Saturation
26.20/5.02	% (2299868)Time elapsed: 0.118 s
26.20/5.02	% (2299868)Peak memory usage: 89 MB
26.20/5.02	% (2299868)Instructions burned: 125 (million)
26.20/5.02	% (2299825)Also succeeded, but the first one will report.
26.20/5.02	% (2299824)Refutation found. Thanks to Tanya!
26.20/5.02	% SZS status Theorem for theBenchmark
26.20/5.02	% SZS output start Proof for theBenchmark
26.20/5.02	fof(f1,conjecture,(
26.20/5.02	  is_a_theorem(implies(implies(implies(x,y),z),implies(implies(z,x),x)))),
26.20/5.02	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_26)).
26.20/5.02	fof(f2,negated_conjecture,(
26.20/5.02	  ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(z,x),x)))),
26.20/5.02	  inference(negated_conjecture,[status(cth)],[f1])).
26.20/5.02	fof(f3,axiom,(
26.20/5.02	  ! [X0,X1] : ((is_a_theorem(X0) & is_a_theorem(implies(X0,X1))) => is_a_theorem(X1))),
26.20/5.02	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)).
26.20/5.02	fof(f4,axiom,(
26.20/5.02	  ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))),
26.20/5.02	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3)).
26.20/5.02	fof(f5,axiom,(
26.20/5.02	  ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))),
26.20/5.02	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1)).
26.20/5.02	fof(f6,axiom,(
26.20/5.02	  ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))),
26.20/5.02	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2)).
26.20/5.02	fof(f7,plain,(
26.20/5.02	  ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(z,x),x)))),
26.20/5.02	  inference(flattening,[],[f2])).
26.20/5.02	fof(f8,plain,(
26.20/5.02	  ! [X0,X1] : (is_a_theorem(X1) | (~is_a_theorem(X0) | ~is_a_theorem(implies(X0,X1))))),
26.20/5.02	  inference(ennf_transformation,[],[f3])).
26.20/5.02	fof(f9,plain,(
26.20/5.02	  ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(X0) | ~is_a_theorem(implies(X0,X1)))),
26.20/5.02	  inference(flattening,[],[f8])).
26.20/5.02	fof(f10,plain,(
26.20/5.02	  ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(z,x),x)))),
26.20/5.02	  inference(cnf_transformation,[],[f7])).
26.20/5.02	fof(f11,plain,(
26.20/5.02	  ( ! [X0,X1] : (~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0) | is_a_theorem(X1)) )),
26.20/5.02	  inference(cnf_transformation,[],[f9])).
26.20/5.02	fof(f12,plain,(
26.20/5.02	  ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(not(X0),X1)))) )),
26.20/5.02	  inference(cnf_transformation,[],[f4])).
26.20/5.02	fof(f13,plain,(
26.20/5.02	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))) )),
26.20/5.02	  inference(cnf_transformation,[],[f5])).
26.20/5.02	fof(f14,plain,(
26.20/5.02	  ( ! [X0] : (is_a_theorem(implies(implies(not(X0),X0),X0))) )),
26.20/5.02	  inference(cnf_transformation,[],[f6])).
26.20/5.02	fof(f15,definition,(
26.20/5.02	  sF0 = implies(x,y)),
26.20/5.02	  introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
26.20/5.02	fof(f16,plain,(
26.20/5.02	  implies(x,y) = sF0),
26.20/5.02	  inference(reorient_equations,[],[f15])).
26.20/5.02	fof(f17,definition,(
26.20/5.02	  sF1 = implies(sF0,z)),
26.20/5.02	  introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
26.20/5.02	fof(f18,plain,(
26.20/5.02	  implies(sF0,z) = sF1),
26.20/5.02	  inference(reorient_equations,[],[f17])).
26.20/5.02	fof(f19,definition,(
26.20/5.02	  sF2 = implies(z,x)),
26.20/5.02	  introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
26.20/5.02	fof(f20,plain,(
26.20/5.02	  implies(z,x) = sF2),
26.20/5.02	  inference(reorient_equations,[],[f19])).
26.20/5.02	fof(f21,definition,(
26.20/5.02	  sF3 = implies(sF2,x)),
26.20/5.02	  introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
26.20/5.02	fof(f22,plain,(
26.20/5.02	  implies(sF2,x) = sF3),
26.20/5.02	  inference(reorient_equations,[],[f21])).
26.20/5.02	fof(f23,definition,(
26.20/5.02	  sF4 = implies(sF1,sF3)),
26.20/5.02	  introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
26.20/5.02	fof(f24,plain,(
26.20/5.02	  implies(sF1,sF3) = sF4),
26.20/5.02	  inference(reorient_equations,[],[f23])).
26.20/5.02	fof(f25,plain,(
26.20/5.02	  ~is_a_theorem(sF4)),
26.20/5.02	  inference(definition_folding,[],[f10,f24,f22,f20,f18,f16])).
26.20/5.02	fof(f26,plain,(
26.20/5.02	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) | ~is_a_theorem(implies(X0,X1))) )),
26.20/5.02	  inference(resolution,[],[f11,f13])).
26.20/5.02	fof(f81,plain,(
26.20/5.02	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(X1,X2)) | ~is_a_theorem(implies(X0,X1)) | is_a_theorem(implies(X0,X2))) )),
26.20/5.02	  inference(resolution,[],[f26,f11])).
26.20/5.02	fof(f92,plain,(
26.20/5.02	  ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3)))) | ~is_a_theorem(implies(X0,implies(X1,X2)))) )),
26.20/5.02	  inference(resolution,[],[f81,f13])).
26.20/5.02	fof(f93,plain,(
26.20/5.02	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,implies(X1,X2))) | is_a_theorem(implies(X0,implies(X3,X2))) | ~is_a_theorem(implies(X3,X1))) )),
26.20/5.02	  inference(resolution,[],[f81,f26])).
26.20/5.02	fof(f108,plain,(
26.20/5.02	  ( ! [X0,X1] : (is_a_theorem(implies(not(X0),X1)) | ~is_a_theorem(X0)) )),
26.20/5.02	  inference(resolution,[],[f12,f11])).
26.20/5.02	fof(f113,plain,(
26.20/5.02	  ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3)))) | ~is_a_theorem(implies(X2,implies(X1,X3)))) )),
26.20/5.02	  inference(resolution,[],[f93,f13])).
26.20/5.02	fof(f114,plain,(
26.20/5.02	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X3,X0)) | ~is_a_theorem(implies(X2,X3)) | is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))) )),
26.20/5.02	  inference(resolution,[],[f93,f26])).
26.20/5.02	fof(f131,plain,(
26.20/5.02	  ( ! [X2,X3,X0,X1,X4] : (~is_a_theorem(implies(X3,implies(X4,X1))) | ~is_a_theorem(implies(X0,implies(X1,X2))) | is_a_theorem(implies(X3,implies(X0,implies(X4,X2))))) )),
26.20/5.02	  inference(resolution,[],[f113,f81])).
26.20/5.02	fof(f154,plain,(
26.20/5.02	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(X0,implies(not(X1),X1))) | is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))) )),
26.20/5.02	  inference(resolution,[],[f14,f114])).
26.20/5.02	fof(f155,plain,(
26.20/5.02	  ( ! [X0,X1] : (~is_a_theorem(implies(X0,implies(not(X1),X1))) | is_a_theorem(implies(X0,X1))) )),
26.20/5.02	  inference(resolution,[],[f14,f81])).
26.20/5.02	fof(f186,plain,(
26.20/5.02	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(not(implies(X0,X2)),implies(X1,X2))) | is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))) )),
26.20/5.02	  inference(resolution,[],[f155,f113])).
26.20/5.02	fof(f188,plain,(
26.20/5.02	  ( ! [X0] : (is_a_theorem(implies(X0,X0))) )),
26.20/5.02	  inference(resolution,[],[f155,f12])).
26.20/5.02	fof(f256,plain,(
26.20/5.02	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,implies(X1,X2))) | ~is_a_theorem(X0) | is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))) )),
26.20/5.02	  inference(resolution,[],[f92,f11])).
26.20/5.02	fof(f293,plain,(
26.20/5.02	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X2),implies(X0,X1))) | ~is_a_theorem(implies(X0,X1))) )),
26.20/5.02	  inference(resolution,[],[f108,f186])).
26.20/5.02	fof(f323,plain,(
26.20/5.02	  ( ! [X2,X3,X0,X1,X4] : (is_a_theorem(implies(implies(X1,X4),implies(X0,implies(implies(X4,X2),X3)))) | ~is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))) )),
26.20/5.02	  inference(resolution,[],[f131,f13])).
26.20/5.02	fof(f333,plain,(
26.20/5.02	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,implies(X1,X2))) | is_a_theorem(implies(X3,implies(X0,implies(not(X3),X2))))) )),
26.20/5.02	  inference(resolution,[],[f131,f12])).
26.20/5.02	fof(f365,plain,(
26.20/5.02	  ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2))))) )),
26.20/5.02	  inference(resolution,[],[f333,f12])).
26.20/5.02	fof(f381,plain,(
26.20/5.02	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2)))) )),
26.20/5.02	  inference(resolution,[],[f365,f154])).
26.20/5.02	fof(f391,plain,(
26.20/5.02	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3))) | is_a_theorem(implies(X0,implies(X1,X3)))) )),
26.20/5.02	  inference(resolution,[],[f381,f81])).
26.20/5.02	fof(f419,plain,(
26.20/5.02	  ( ! [X2,X3,X0,X1,X4] : (~is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) | ~is_a_theorem(implies(X1,X4)) | is_a_theorem(implies(X0,implies(implies(X4,X2),X3)))) )),
26.20/5.02	  inference(resolution,[],[f323,f11])).
26.20/5.02	fof(f430,plain,(
26.20/5.02	  ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X2,X0),implies(implies(X1,X3),implies(X2,X3)))) | ~is_a_theorem(implies(X0,X1))) )),
26.20/5.02	  inference(resolution,[],[f419,f13])).
26.20/5.02	fof(f477,plain,(
26.20/5.02	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2))))) )),
26.20/5.03	  inference(resolution,[],[f391,f13])).
26.20/5.03	fof(f480,plain,(
26.20/5.03	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(not(X2),X3),X0)) | is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))) )),
26.20/5.03	  inference(resolution,[],[f391,f26])).
26.20/5.03	fof(f500,plain,(
26.20/5.03	  ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(not(X2),X1)),X3),implies(X2,X3)))) )),
26.20/5.03	  inference(resolution,[],[f480,f13])).
26.20/5.03	fof(f512,plain,(
26.20/5.03	  ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3)))) )),
26.20/5.03	  inference(resolution,[],[f477,f480])).
26.20/5.03	fof(f538,plain,(
26.20/5.03	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3)) | is_a_theorem(implies(X1,X3))) )),
26.20/5.03	  inference(resolution,[],[f512,f11])).
26.20/5.03	fof(f554,plain,(
26.20/5.03	  ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(X1,X2))) | ~is_a_theorem(implies(X1,X2))) )),
26.20/5.03	  inference(resolution,[],[f538,f293])).
26.20/5.03	fof(f568,plain,(
26.20/5.03	  ( ! [X0,X1] : (~is_a_theorem(implies(not(X0),X0)) | is_a_theorem(implies(X1,X0))) )),
26.20/5.03	  inference(resolution,[],[f554,f155])).
26.20/5.03	fof(f575,plain,(
26.20/5.03	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X2,X0),implies(X2,X1))) | ~is_a_theorem(implies(X0,X1))) )),
26.20/5.03	  inference(resolution,[],[f554,f186])).
26.20/5.03	fof(f586,plain,(
26.20/5.03	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(not(X0),X1),X2)) | is_a_theorem(implies(X0,implies(X3,X2)))) )),
26.20/5.03	  inference(resolution,[],[f575,f538])).
26.20/5.03	fof(f698,plain,(
26.20/5.03	  ( ! [X0,X1] : (is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X1)) )),
26.20/5.03	  inference(resolution,[],[f568,f108])).
26.20/5.03	fof(f750,plain,(
26.20/5.03	  ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(X1,X0)))) )),
26.20/5.03	  inference(resolution,[],[f586,f14])).
26.20/5.03	fof(f779,plain,(
26.20/5.03	  ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(X2,X1))) | ~is_a_theorem(implies(X0,X1))) )),
26.20/5.03	  inference(resolution,[],[f750,f81])).
26.20/5.03	fof(f799,plain,(
26.20/5.03	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X2,X0)) | ~is_a_theorem(implies(X0,X1)) | is_a_theorem(implies(X2,implies(X3,X1)))) )),
26.20/5.03	  inference(resolution,[],[f779,f81])).
26.20/5.03	fof(f818,plain,(
26.20/5.03	  ( ! [X2,X3,X0,X1,X4] : (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) | is_a_theorem(implies(implies(X2,X0),implies(X4,X3)))) )),
26.20/5.03	  inference(resolution,[],[f799,f13])).
26.20/5.03	fof(f841,plain,(
26.20/5.03	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(X0,X1),X2)) | is_a_theorem(implies(X1,implies(X3,X2)))) )),
26.20/5.03	  inference(resolution,[],[f799,f750])).
26.20/5.03	fof(f941,plain,(
26.20/5.03	  ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(X1,implies(X2,X0))))) )),
26.20/5.03	  inference(resolution,[],[f841,f500])).
26.20/5.03	fof(f962,plain,(
26.20/5.03	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))) )),
26.20/5.03	  inference(resolution,[],[f941,f154])).
26.20/5.03	fof(f984,plain,(
26.20/5.03	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(X0,X1),X2)) | is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))) )),
26.20/5.03	  inference(resolution,[],[f962,f256])).
26.20/5.03	fof(f995,plain,(
26.20/5.03	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) | is_a_theorem(implies(X0,implies(X2,X3)))) )),
26.20/5.03	  inference(resolution,[],[f962,f81])).
26.20/5.03	fof(f996,plain,(
26.20/5.03	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(implies(X0,X1),X2)) | is_a_theorem(implies(X1,X2))) )),
26.20/5.03	  inference(resolution,[],[f962,f11])).
26.20/5.03	fof(f1021,plain,(
26.20/5.03	  ( ! [X2,X0,X1] : (is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2))))) )),
26.20/5.03	  inference(resolution,[],[f996,f477])).
26.20/5.03	fof(f1076,plain,(
26.20/5.03	  ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3)))) )),
26.20/5.03	  inference(resolution,[],[f984,f13])).
26.20/5.03	fof(f1109,plain,(
26.20/5.03	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(X0,implies(X1,X2))),implies(X0,implies(X1,X2))))) )),
26.20/5.03	  inference(resolution,[],[f1021,f186])).
26.20/5.03	fof(f1133,plain,(
26.20/5.03	  ( ! [X2,X3,X0,X1,X4] : (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) | is_a_theorem(implies(implies(X3,X4),implies(X0,X4)))) )),
26.20/5.03	  inference(resolution,[],[f1076,f256])).
26.20/5.03	fof(f1145,plain,(
26.20/5.03	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) | is_a_theorem(implies(X0,X3))) )),
26.20/5.03	  inference(resolution,[],[f1076,f11])).
26.20/5.03	fof(f1167,plain,(
26.20/5.03	  ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))) )),
27.71/5.40	  inference(resolution,[],[f1145,f962])).
27.71/5.40	fof(f1209,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1))))) )),
27.71/5.40	  inference(resolution,[],[f1167,f186])).
27.71/5.40	fof(f1257,plain,(
27.71/5.40	  ( ! [X0] : (is_a_theorem(implies(implies(X0,x),implies(X0,sF3)))) )),
27.71/5.40	  inference(superposition,[],[f1209,f22])).
27.71/5.40	fof(f1339,plain,(
27.71/5.40	  is_a_theorem(implies(implies(sF1,x),sF4))),
27.71/5.40	  inference(superposition,[],[f1257,f24])).
27.71/5.40	fof(f1401,plain,(
27.71/5.40	  is_a_theorem(implies(x,sF4))),
27.71/5.40	  inference(resolution,[],[f1339,f996])).
27.71/5.40	fof(f1548,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(X0,implies(X0,implies(X1,X2)))) | is_a_theorem(implies(X0,implies(X1,X2)))) )),
27.71/5.40	  inference(resolution,[],[f1109,f11])).
27.71/5.40	fof(f1561,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(implies(X0,X1),implies(X2,X0))) | is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))) )),
27.71/5.40	  inference(resolution,[],[f1548,f92])).
27.71/5.40	fof(f1596,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(implies(X0,X1),X0)) | is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))) )),
27.71/5.40	  inference(resolution,[],[f1561,f779])).
27.71/5.40	fof(f1618,plain,(
27.71/5.40	  ( ! [X0,X1] : (is_a_theorem(implies(implies(implies(X0,X0),X0),implies(X1,X0)))) )),
27.71/5.40	  inference(resolution,[],[f1596,f962])).
27.71/5.40	fof(f1687,plain,(
27.71/5.40	  ( ! [X0] : (is_a_theorem(implies(implies(implies(X0,X0),X0),X0))) )),
27.71/5.40	  inference(resolution,[],[f1618,f155])).
27.71/5.40	fof(f1714,plain,(
27.71/5.40	  ( ! [X0,X1] : (~is_a_theorem(implies(X0,implies(implies(X1,X1),X1))) | is_a_theorem(implies(X0,X1))) )),
27.71/5.40	  inference(resolution,[],[f1687,f81])).
27.71/5.40	fof(f1731,plain,(
27.71/5.40	  ( ! [X0,X1] : (~is_a_theorem(implies(implies(X1,X1),X0)) | is_a_theorem(implies(implies(X0,X1),X1))) )),
27.71/5.40	  inference(resolution,[],[f1714,f26])).
27.71/5.40	fof(f1736,plain,(
27.71/5.40	  ( ! [X0,X1] : (is_a_theorem(implies(implies(implies(X0,X0),X1),X0)) | ~is_a_theorem(implies(X1,X0))) )),
27.71/5.40	  inference(resolution,[],[f1714,f575])).
27.71/5.40	fof(f1763,plain,(
27.71/5.40	  ( ! [X0,X1] : (is_a_theorem(implies(implies(X0,X1),X1)) | ~is_a_theorem(X0)) )),
27.71/5.40	  inference(resolution,[],[f1731,f698])).
27.71/5.40	fof(f2062,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(X2,implies(implies(X1,X1),X0))) | ~is_a_theorem(implies(X0,X1)) | is_a_theorem(implies(X2,X1))) )),
27.71/5.40	  inference(resolution,[],[f1736,f81])).
27.71/5.40	fof(f2085,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(implies(X0,X1),X1)) | is_a_theorem(implies(implies(X0,X2),X1)) | ~is_a_theorem(implies(X2,X1))) )),
27.71/5.40	  inference(resolution,[],[f2062,f430])).
27.71/5.40	fof(f2686,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(X1,implies(X0,X2))) | ~is_a_theorem(X0) | is_a_theorem(implies(X1,X2))) )),
27.71/5.40	  inference(resolution,[],[f1763,f81])).
27.71/5.40	fof(f2720,plain,(
27.71/5.40	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X3,X0)) | is_a_theorem(implies(implies(X2,X3),implies(X2,X1))) | ~is_a_theorem(implies(X0,X1))) )),
27.71/5.40	  inference(resolution,[],[f2686,f430])).
27.71/5.40	fof(f2769,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X2))) | ~is_a_theorem(implies(X1,X2))) )),
27.71/5.40	  inference(resolution,[],[f2720,f14])).
27.71/5.40	fof(f2971,plain,(
27.71/5.40	  ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(implies(implies(X2,X0),X1),X3),implies(X2,X3))) | ~is_a_theorem(implies(X0,X1))) )),
27.71/5.40	  inference(resolution,[],[f2769,f1133])).
27.71/5.40	fof(f3318,plain,(
27.71/5.40	  ( ! [X2,X3,X0,X1,X4] : (~is_a_theorem(implies(implies(implies(X2,X0),X1),X3)) | ~is_a_theorem(implies(X0,X1)) | is_a_theorem(implies(implies(X3,X4),implies(X2,X4)))) )),
27.71/5.40	  inference(resolution,[],[f2971,f256])).
27.71/5.40	fof(f3415,plain,(
27.71/5.40	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,X1)) | is_a_theorem(implies(implies(implies(X2,X1),X3),implies(not(X2),X3)))) )),
27.71/5.40	  inference(resolution,[],[f3318,f381])).
27.71/5.40	fof(f3466,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2)))) )),
27.71/5.40	  inference(resolution,[],[f3415,f188])).
27.71/5.40	fof(f3537,definition,(
27.71/5.40	  spl5_81 <=> ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2)))),
27.71/5.40	  introduced(definition,[new_symbols(definition,[spl5_81])],[avatar_definition])).
27.71/5.40	fof(f3538,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2)))) ) | ~spl5_81),
27.71/5.40	  inference(avatar_component_clause,[],[f3537])).
27.71/5.40	fof(f3541,plain,(
27.71/5.40	  spl5_81),
27.71/5.40	  inference(avatar_split_clause,[],[f3466,f3537])).
27.71/5.40	fof(f3559,plain,(
27.71/5.40	  ( ! [X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X0),X0))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f3538,f155])).
27.71/5.40	fof(f3581,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X2),X0)) | ~is_a_theorem(implies(X2,X0))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f3559,f2085])).
27.71/5.40	fof(f3588,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f3559,f818])).
27.71/5.40	fof(f3594,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(X0,implies(implies(X1,X2),X1))) | is_a_theorem(implies(X0,X1))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f3559,f81])).
27.71/5.40	fof(f3653,plain,(
27.71/5.40	  ( ! [X0,X1] : (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f3588,f155])).
27.71/5.40	fof(f3679,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f3653,f1133])).
27.71/5.40	fof(f3680,plain,(
27.71/5.40	  ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f3653,f1145])).
27.71/5.40	fof(f3745,plain,(
27.71/5.40	  ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(X1,X1)))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f3680,f995])).
27.71/5.40	fof(f3787,plain,(
27.71/5.40	  is_a_theorem(implies(sF0,implies(sF1,z))) | ~spl5_81),
27.71/5.40	  inference(superposition,[],[f3680,f18])).
27.71/5.40	fof(f3834,plain,(
27.71/5.40	  ( ! [X0,X1] : (is_a_theorem(implies(implies(implies(X0,X0),X1),X1))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f3745,f1731])).
27.71/5.40	fof(f4260,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2))) | is_a_theorem(implies(X0,X2))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f3834,f81])).
27.71/5.40	fof(f4330,plain,(
27.71/5.40	  ( ! [X0] : (is_a_theorem(implies(implies(implies(sF2,x),X0),implies(z,X0)))) ) | ~spl5_81),
27.71/5.40	  inference(superposition,[],[f3679,f20])).
27.71/5.40	fof(f4339,plain,(
27.71/5.40	  ( ! [X0] : (is_a_theorem(implies(implies(sF3,X0),implies(z,X0)))) ) | ~spl5_81),
27.71/5.40	  inference(forward_demodulation,[],[f4330,f22])).
27.71/5.40	fof(f4485,plain,(
27.71/5.40	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(X3,X3),implies(X1,X2))) | is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f4260,f113])).
27.71/5.40	fof(f5556,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(implies(X1,X2),X0)) | is_a_theorem(implies(implies(X0,X1),X1))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f3594,f26])).
27.71/5.40	fof(f5832,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X2),X2)) | ~is_a_theorem(implies(X0,X2))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f5556,f26])).
27.71/5.40	fof(f5931,plain,(
27.71/5.40	  ( ! [X2,X0,X1] : (~is_a_theorem(implies(implies(X0,X2),X1)) | ~is_a_theorem(implies(X0,X1)) | is_a_theorem(X1)) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f5832,f11])).
27.71/5.40	fof(f7217,plain,(
27.71/5.40	  ( ! [X0] : (is_a_theorem(implies(implies(X0,z),implies(X0,sF3)))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f4485,f4339])).
27.71/5.40	fof(f7342,plain,(
27.71/5.40	  is_a_theorem(implies(implies(sF1,z),sF4)) | ~spl5_81),
27.71/5.40	  inference(superposition,[],[f7217,f24])).
27.71/5.40	fof(f7456,plain,(
27.71/5.40	  ( ! [X0] : (~is_a_theorem(implies(X0,implies(sF1,z))) | is_a_theorem(implies(X0,sF4))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f7342,f81])).
27.71/5.40	fof(f20407,plain,(
27.71/5.40	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X2,implies(implies(X1,X3),X0))) | ~is_a_theorem(implies(X0,X1)) | is_a_theorem(implies(X2,X1))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f3581,f81])).
27.71/5.40	fof(f20715,plain,(
27.71/5.40	  ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(X0,X1),X2)) | is_a_theorem(implies(implies(X0,X3),X2)) | ~is_a_theorem(implies(X3,X2))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f20407,f430])).
27.71/5.40	fof(f21149,plain,(
27.71/5.40	  ( ! [X0,X1] : (is_a_theorem(implies(implies(x,X1),X0)) | ~is_a_theorem(implies(sF0,X0)) | ~is_a_theorem(implies(X1,X0))) ) | ~spl5_81),
27.71/5.40	  inference(superposition,[],[f20715,f16])).
27.71/5.40	fof(f21371,plain,(
27.71/5.40	  ( ! [X0] : (~is_a_theorem(implies(sF0,implies(sF1,z))) | ~is_a_theorem(implies(X0,implies(sF1,z))) | is_a_theorem(implies(implies(x,X0),sF4))) ) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f21149,f7456])).
27.71/5.40	fof(f21382,plain,(
27.71/5.40	  ( ! [X0] : (~is_a_theorem(implies(X0,implies(sF1,z))) | is_a_theorem(implies(implies(x,X0),sF4))) ) | ~spl5_81),
27.71/5.40	  inference(forward_subsumption_resolution,[],[f21371,f3787])).
27.71/5.40	fof(f21392,plain,(
27.71/5.40	  is_a_theorem(implies(implies(x,z),sF4)) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f21382,f750])).
27.71/5.40	fof(f21458,plain,(
27.71/5.40	  ~is_a_theorem(implies(x,sF4)) | is_a_theorem(sF4) | ~spl5_81),
27.71/5.40	  inference(resolution,[],[f21392,f5931])).
27.71/5.40	fof(f21507,plain,(
27.71/5.40	  is_a_theorem(sF4) | ~spl5_81),
27.71/5.40	  inference(forward_subsumption_resolution,[],[f21458,f1401])).
27.71/5.40	fof(f21512,plain,(
27.71/5.40	  $false | ~spl5_81),
27.71/5.40	  inference(forward_subsumption_resolution,[],[f21507,f25])).
27.71/5.40	fof(f21513,plain,(
27.71/5.40	  ~spl5_81),
27.71/5.40	  inference(avatar_contradiction_clause,[],[f21512])).
27.71/5.40	cnf(s64, plain, spl5_81, inference(sat_conversion,[],[f3541])).
27.71/5.40	cnf(s170, plain, ~spl5_81, inference(sat_conversion,[],[f21513])).
27.71/5.40	cnf(s173, plain, $false, inference(rat,[],[s64,s170])).
27.71/5.40	fof(f21514,plain,(
27.71/5.40	  $false),
27.71/5.40	  inference(avatar_sat_refutation,[],[s173])).
27.71/5.40	% SZS output end Proof for theBenchmark
27.71/5.40	% (2299824)------------------------------
27.71/5.40	% (2299824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
27.71/5.40	% (2299824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
27.71/5.40	% (2299824)CaDiCaL version: 2.1.3
27.71/5.40	% (2299824)Termination reason: Refutation
27.71/5.40	% (2299824)Time elapsed: 3.263 s
27.71/5.40	% (2299824)Peak memory usage: 168 MB
27.71/5.40	% (2299824)Instructions burned: 5371 (million)
27.71/5.40	% (2299824)------------------------------
27.71/5.40	% (2299824)------------------------------
27.71/5.40	% (2299819)Success in time 3.783 s
27.71/5.40	% Vampire exiting
27.86/5.40	EOF