0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.20/0.44 % Computer : n025.cluster.edu 0.20/0.44 % Model : x86_64 x86_64 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.20/0.44 % Memory : 8046.5625MB 0.20/0.44 % OS : Linux 6.8.0-71-generic 0.20/0.45 % CPULimit : 1440 0.20/0.45 % WCLimit : 180 0.20/0.45 % DateTime : Mon Jul 27 09:50:59 UTC 2026 0.20/0.45 % CPUTime : 0.20/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.23/0.51 Running first-order theorem proving 0.23/0.51 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p 17.63/4.10 % (2495672)Detected formulas, will run a generic FOF schedule. 17.63/4.10 % (2495677)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=2709032899:i=141193_1799 on theBenchmark for (1799ds/141193Mi) 17.63/4.10 % (2495680)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3311288531:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi) 17.63/4.10 % (2495678)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=61027008:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi) 17.63/4.10 % (2495679)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=2336555519:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi) 17.63/4.10 % (2495681)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=633434173:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi) 17.63/4.10 % (2495680)Refutation not found, incomplete strategy 17.63/4.10 % (2495680)------------------------------ 17.63/4.10 % (2495680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495680)CaDiCaL version: 2.1.3 17.63/4.10 % (2495680)Termination reason: Refutation not found, incomplete strategy 17.63/4.10 % (2495680)Time elapsed: 0.001 s 17.63/4.10 % (2495680)Peak memory usage: 87 MB 17.63/4.10 % (2495682)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2976096994:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi) 17.63/4.10 % (2495683)dis-21_1_sil=8000:lcm=predicate:random_seed=1401023630: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) 17.63/4.10 % (2495681)Instruction limit reached! 17.63/4.10 % (2495681)------------------------------ 17.63/4.10 % (2495681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495681)CaDiCaL version: 2.1.3 17.63/4.10 % (2495681)Termination reason: Instruction limit 17.63/4.10 % (2495681)Termination phase: Saturation 17.63/4.10 % (2495681)Time elapsed: 0.104 s 17.63/4.10 % (2495681)Peak memory usage: 87 MB 17.63/4.10 % (2495681)Instructions burned: 119 (million) 17.63/4.10 % (2495683)Instruction limit reached! 17.63/4.10 % (2495683)------------------------------ 17.63/4.10 % (2495683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495683)CaDiCaL version: 2.1.3 17.63/4.10 % (2495683)Termination reason: Instruction limit 17.63/4.10 % (2495683)Termination phase: Saturation 17.63/4.10 % (2495683)Time elapsed: 0.125 s 17.63/4.10 % (2495683)Peak memory usage: 89 MB 17.63/4.10 % (2495683)Instructions burned: 129 (million) 17.63/4.10 % (2495682)Instruction limit reached! 17.63/4.10 % (2495682)------------------------------ 17.63/4.10 % (2495682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495682)CaDiCaL version: 2.1.3 17.63/4.10 % (2495682)Termination reason: Instruction limit 17.63/4.10 % (2495682)Termination phase: Saturation 17.63/4.10 % (2495682)Time elapsed: 0.140 s 17.63/4.10 % (2495682)Peak memory usage: 89 MB 17.63/4.10 % (2495682)Instructions burned: 139 (million) 17.63/4.10 % (2495680)------------------------------ 17.63/4.10 % (2495680)------------------------------ 17.63/4.10 % (2495691)lrs+10_1_sil=8000:sp=occurrence:random_seed=2368612387:i=285:sd=3:ss=axioms:sgt=8_1795 on theBenchmark for (1795ds/285Mi) 17.63/4.10 % (2495692)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3496373128:i=157:sd=1:gtg=position:ss=axioms:sgt=8_1795 on theBenchmark for (1795ds/157Mi) 17.63/4.10 % (2495693)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1113487254:i=325:sd=1:ss=axioms:sgt=32_1795 on theBenchmark for (1795ds/325Mi) 17.63/4.10 % (2495692)Instruction limit reached! 17.63/4.10 % (2495692)------------------------------ 17.63/4.10 % (2495692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495692)CaDiCaL version: 2.1.3 17.63/4.10 % (2495692)Termination reason: Instruction limit 17.63/4.10 % (2495692)Termination phase: Saturation 17.63/4.10 % (2495692)Time elapsed: 0.142 s 17.63/4.10 % (2495692)Peak memory usage: 89 MB 17.63/4.10 % (2495692)Instructions burned: 157 (million) 17.63/4.10 % (2495691)Instruction limit reached! 17.63/4.10 % (2495691)------------------------------ 17.63/4.10 % (2495691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495691)CaDiCaL version: 2.1.3 17.63/4.10 % (2495691)Termination reason: Instruction limit 17.63/4.10 % (2495691)Termination phase: Saturation 17.63/4.10 % (2495691)Time elapsed: 0.271 s 17.63/4.10 % (2495691)Peak memory usage: 91 MB 17.63/4.10 % (2495691)Instructions burned: 285 (million) 17.63/4.10 % (2495695)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=1525440146:s2a=on:i=248:s2at=1.23:gtg=position_1792 on theBenchmark for (1792ds/248Mi) 17.63/4.10 % (2495693)Instruction limit reached! 17.63/4.10 % (2495693)------------------------------ 17.63/4.10 % (2495693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495693)CaDiCaL version: 2.1.3 17.63/4.10 % (2495693)Termination reason: Instruction limit 17.63/4.10 % (2495693)Termination phase: Saturation 17.63/4.10 % (2495693)Time elapsed: 0.328 s 17.63/4.10 % (2495693)Peak memory usage: 93 MB 17.63/4.10 % (2495693)Instructions burned: 326 (million) 17.63/4.10 % (2495698)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=149131323:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_1791 on theBenchmark for (1791ds/294Mi) 17.63/4.10 % (2495698)Refutation not found, incomplete strategy 17.63/4.10 % (2495698)------------------------------ 17.63/4.10 % (2495698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495698)CaDiCaL version: 2.1.3 17.63/4.10 % (2495698)Termination reason: Refutation not found, incomplete strategy 17.63/4.10 % (2495698)Time elapsed: 0.001 s 17.63/4.10 % (2495698)Peak memory usage: 87 MB 17.63/4.10 % (2495695)Instruction limit reached! 17.63/4.10 % (2495695)------------------------------ 17.63/4.10 % (2495695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495695)CaDiCaL version: 2.1.3 17.63/4.10 % (2495695)Termination reason: Instruction limit 17.63/4.10 % (2495695)Termination phase: Saturation 17.63/4.10 % (2495695)Time elapsed: 0.219 s 17.63/4.10 % (2495695)Peak memory usage: 89 MB 17.63/4.10 % (2495695)Instructions burned: 248 (million) 17.63/4.10 % (2495699)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1059074988:i=2350_1790 on theBenchmark for (1790ds/2350Mi) 17.63/4.10 % (2495701)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4256467820:cts=off:i=113:fsr=off:ss=included:sgt=4_1789 on theBenchmark for (1789ds/113Mi) 17.63/4.10 % (2495701)Instruction limit reached! 17.63/4.10 % (2495701)------------------------------ 17.63/4.10 % (2495701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495701)CaDiCaL version: 2.1.3 17.63/4.10 % (2495701)Termination reason: Instruction limit 17.63/4.10 % (2495701)Termination phase: Saturation 17.63/4.10 % (2495701)Time elapsed: 0.107 s 17.63/4.10 % (2495701)Peak memory usage: 89 MB 17.63/4.10 % (2495701)Instructions burned: 113 (million) 17.63/4.10 % (2495703)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=652222433:i=127:av=off:fsr=off:sup=off_1787 on theBenchmark for (1787ds/127Mi) 17.63/4.10 % (2495698)------------------------------ 17.63/4.10 % (2495698)------------------------------ 17.63/4.10 % (2495703)Instruction limit reached! 17.63/4.10 % (2495703)------------------------------ 17.63/4.10 % (2495703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495703)CaDiCaL version: 2.1.3 17.63/4.10 % (2495703)Termination reason: Instruction limit 17.63/4.10 % (2495703)Termination phase: Saturation 17.63/4.10 % (2495703)Time elapsed: 0.115 s 17.63/4.10 % (2495703)Peak memory usage: 88 MB 17.63/4.10 % (2495703)Instructions burned: 128 (million) 17.63/4.10 % (2495706)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3610624691:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_1785 on theBenchmark for (1785ds/114Mi) 17.63/4.10 % (2495708)lrs+10_1_sil=8000:sp=occurrence:random_seed=4006080573:st=1.2:i=907:sd=14:ss=axioms:sgt=12_1784 on theBenchmark for (1784ds/907Mi) 17.63/4.10 % (2495706)Instruction limit reached! 17.63/4.10 % (2495706)------------------------------ 17.63/4.10 % (2495706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495706)CaDiCaL version: 2.1.3 17.63/4.10 % (2495706)Termination reason: Instruction limit 17.63/4.10 % (2495706)Termination phase: Saturation 17.63/4.10 % (2495706)Time elapsed: 0.115 s 17.63/4.10 % (2495706)Peak memory usage: 89 MB 17.63/4.10 % (2495706)Instructions burned: 114 (million) 17.63/4.10 % (2495709)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1361458043:i=437:sd=1:aac=none:ss=included_1783 on theBenchmark for (1783ds/437Mi) 17.63/4.10 % (2495709)Refutation not found, incomplete strategy 17.63/4.10 % (2495709)------------------------------ 17.63/4.10 % (2495709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495709)CaDiCaL version: 2.1.3 17.63/4.10 % (2495709)Termination reason: Refutation not found, incomplete strategy 17.63/4.10 % (2495709)Time elapsed: 0.001 s 17.63/4.10 % (2495709)Peak memory usage: 88 MB 17.63/4.10 % (2495712)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4213450589:i=5202:ss=axioms:sgt=16_1781 on theBenchmark for (1781ds/5202Mi) 17.63/4.10 % (2495709)------------------------------ 17.63/4.10 % (2495709)------------------------------ 17.63/4.10 % (2495678)First to succeed. 17.63/4.10 % (2495678)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2495672" 17.63/4.10 % (2495715)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=401931717:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_1777 on theBenchmark for (1777ds/134Mi) 17.63/4.10 % (2495715)Instruction limit reached! 17.63/4.10 % (2495715)------------------------------ 17.63/4.10 % (2495715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495715)CaDiCaL version: 2.1.3 17.63/4.10 % (2495715)Termination reason: Instruction limit 17.63/4.10 % (2495715)Termination phase: Saturation 17.63/4.10 % (2495715)Time elapsed: 0.120 s 17.63/4.10 % (2495715)Peak memory usage: 89 MB 17.63/4.10 % (2495715)Instructions burned: 134 (million) 17.63/4.10 % (2495708)Instruction limit reached! 17.63/4.10 % (2495708)------------------------------ 17.63/4.10 % (2495708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 17.63/4.10 % (2495708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 17.63/4.10 % (2495708)CaDiCaL version: 2.1.3 17.63/4.10 % (2495708)Termination reason: Instruction limit 17.63/4.10 % (2495708)Termination phase: Saturation 17.63/4.10 % (2495708)Time elapsed: 0.878 s 17.63/4.10 % (2495708)Peak memory usage: 95 MB 17.63/4.10 % (2495708)Instructions burned: 908 (million) 17.63/4.10 % (2495678)Refutation found. Thanks to Tanya! 17.63/4.10 % SZS status Theorem for theBenchmark 17.63/4.10 % SZS output start Proof for theBenchmark 17.63/4.10 fof(f1,conjecture,( 17.63/4.10 is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), 17.63/4.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_23)). 17.63/4.10 fof(f2,negated_conjecture,( 17.63/4.10 ~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), 17.63/4.10 inference(negated_conjecture,[status(cth)],[f1])). 17.63/4.10 fof(f3,axiom,( 17.63/4.10 ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))), 17.63/4.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1)). 17.63/4.10 fof(f4,axiom,( 17.63/4.10 ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))), 17.63/4.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2)). 17.63/4.10 fof(f5,axiom,( 17.63/4.10 ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))), 20.96/4.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3)). 20.96/4.46 fof(f6,axiom,( 20.96/4.46 ! [X0,X1] : ((is_a_theorem(implies(X0,X1)) & is_a_theorem(X0)) => is_a_theorem(X1))), 20.96/4.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)). 20.96/4.46 fof(f7,plain,( 20.96/4.46 ~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), 20.96/4.46 inference(flattening,[],[f2])). 20.96/4.46 fof(f8,plain,( 20.96/4.46 ! [X0,X1] : (is_a_theorem(X1) | (~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0)))), 20.96/4.46 inference(ennf_transformation,[],[f6])). 20.96/4.46 fof(f9,plain,( 20.96/4.46 ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0))), 20.96/4.46 inference(flattening,[],[f8])). 20.96/4.46 fof(f10,plain,( 20.96/4.46 ~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), 20.96/4.46 inference(cnf_transformation,[],[f7])). 20.96/4.46 fof(f11,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))) )), 20.96/4.46 inference(cnf_transformation,[],[f3])). 20.96/4.46 fof(f12,plain,( 20.96/4.46 ( ! [X0] : (is_a_theorem(implies(implies(not(X0),X0),X0))) )), 20.96/4.46 inference(cnf_transformation,[],[f4])). 20.96/4.46 fof(f13,plain,( 20.96/4.46 ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(not(X0),X1)))) )), 20.96/4.46 inference(cnf_transformation,[],[f5])). 20.96/4.46 fof(f14,plain,( 20.96/4.46 ( ! [X0,X1] : (~is_a_theorem(implies(X0,X1)) | is_a_theorem(X1) | ~is_a_theorem(X0)) )), 20.96/4.46 inference(cnf_transformation,[],[f9])). 20.96/4.46 fof(f15,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X2,X0)) | is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))) )), 20.96/4.46 inference(resolution,[],[f14,f11])). 20.96/4.46 fof(f16,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))) )), 20.96/4.46 inference(resolution,[],[f15,f11])). 20.96/4.46 fof(f18,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2)) | is_a_theorem(implies(implies(X0,X1),X2))) )), 20.96/4.46 inference(resolution,[],[f16,f14])). 20.96/4.46 fof(f19,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2)))) )), 20.96/4.46 inference(resolution,[],[f13,f15])). 20.96/4.46 fof(f21,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2)))))) )), 20.96/4.46 inference(resolution,[],[f18,f16])). 20.96/4.46 fof(f22,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3))))) )), 20.96/4.46 inference(resolution,[],[f18,f11])). 20.96/4.46 fof(f24,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2))))) )), 20.96/4.46 inference(resolution,[],[f19,f18])). 20.96/4.46 fof(f26,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (~is_a_theorem(implies(implies(not(X0),X2),X1)) | is_a_theorem(implies(X0,X1))) )), 20.96/4.46 inference(resolution,[],[f19,f14])). 20.96/4.46 fof(f27,plain,( 20.96/4.46 ( ! [X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1)))) )), 20.96/4.46 inference(resolution,[],[f12,f15])). 20.96/4.46 fof(f30,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2)))) )), 20.96/4.46 inference(resolution,[],[f27,f15])). 20.96/4.46 fof(f31,plain,( 20.96/4.46 ( ! [X0,X1] : (is_a_theorem(implies(implies(not(X0),X0),X1)) | ~is_a_theorem(implies(X0,X1))) )), 20.96/4.46 inference(resolution,[],[f27,f14])). 20.96/4.46 fof(f32,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2))))) )), 20.96/4.46 inference(resolution,[],[f30,f18])). 20.96/4.46 fof(f37,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X2,implies(not(X0),X0))) | is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))) )), 20.96/4.46 inference(resolution,[],[f32,f14])). 20.96/4.46 fof(f40,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3)))) | ~is_a_theorem(implies(X2,implies(X1,X3)))) )), 20.96/4.46 inference(resolution,[],[f21,f14])). 20.96/4.46 fof(f42,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1,X4] : (is_a_theorem(implies(implies(implies(X0,implies(X3,X2)),X4),implies(implies(X3,X1),X4))) | ~is_a_theorem(implies(X0,implies(X1,X2)))) )), 20.96/4.46 inference(resolution,[],[f40,f15])). 20.96/4.46 fof(f43,plain,( 20.96/4.46 ( ! [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)))) )), 20.96/4.46 inference(resolution,[],[f40,f14])). 20.96/4.46 fof(f52,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,implies(implies(not(X1),X3),X2))) | is_a_theorem(implies(X0,implies(X1,X2)))) )), 20.96/4.46 inference(resolution,[],[f43,f13])). 20.96/4.46 fof(f54,plain,( 20.96/4.46 ( ! [X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(X0,X1)))) )), 20.96/4.46 inference(resolution,[],[f52,f27])). 20.96/4.46 fof(f86,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2))) | ~is_a_theorem(implies(X0,X3))) )), 20.96/4.46 inference(resolution,[],[f22,f14])). 20.96/4.46 fof(f90,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1,X4] : (is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X4),implies(implies(implies(X0,X2),X3),X4))) | ~is_a_theorem(implies(X0,X1))) )), 20.96/4.46 inference(resolution,[],[f86,f15])). 20.96/4.46 fof(f98,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2))))) )), 20.96/4.46 inference(resolution,[],[f24,f26])). 20.96/4.46 fof(f165,plain,( 20.96/4.46 ( ! [X0,X1] : (~is_a_theorem(implies(not(X0),X0)) | is_a_theorem(X1) | ~is_a_theorem(implies(X0,X1))) )), 20.96/4.46 inference(resolution,[],[f31,f14])). 20.96/4.46 fof(f235,plain,( 20.96/4.46 ~is_a_theorem(implies(x,implies(implies(x,z),z)))), 20.96/4.46 inference(resolution,[],[f42,f10])). 20.96/4.46 fof(f319,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1,X4] : (~is_a_theorem(implies(implies(implies(X1,X2),X3),X4)) | is_a_theorem(implies(implies(implies(X0,X2),X3),X4)) | ~is_a_theorem(implies(X0,X1))) )), 20.96/4.46 inference(resolution,[],[f90,f14])). 20.96/4.46 fof(f336,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1,X4] : (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X3),implies(implies(X4,X1),X3)))) | ~is_a_theorem(implies(X0,X4))) )), 20.96/4.46 inference(resolution,[],[f319,f11])). 20.96/4.46 fof(f356,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1,X4] : (~is_a_theorem(implies(implies(X0,X4),X2)) | is_a_theorem(implies(implies(X2,X3),implies(implies(X1,X4),X3))) | ~is_a_theorem(implies(X0,X1))) )), 20.96/4.46 inference(resolution,[],[f336,f14])). 20.96/4.46 fof(f366,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1,X4] : (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X4,X0),X3))) | ~is_a_theorem(implies(X2,X4))) )), 20.96/4.46 inference(resolution,[],[f356,f11])). 20.96/4.46 fof(f415,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1,X4] : (~is_a_theorem(implies(implies(implies(X2,X4),implies(X0,X4)),X3)) | is_a_theorem(implies(implies(X1,X2),X3)) | ~is_a_theorem(implies(X0,X1))) )), 20.96/4.46 inference(resolution,[],[f366,f14])). 20.96/4.46 fof(f419,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X3,X2)))) | ~is_a_theorem(implies(X3,X0))) )), 20.96/4.46 inference(resolution,[],[f415,f54])). 20.96/4.46 fof(f567,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X1,X2)) | is_a_theorem(implies(implies(X2,X3),implies(X0,X3))) | ~is_a_theorem(implies(X0,X1))) )), 20.96/4.46 inference(resolution,[],[f419,f14])). 20.96/4.46 fof(f579,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1,X4] : (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X4,X3))) | ~is_a_theorem(implies(X4,implies(X2,X0)))) )), 20.96/4.46 inference(resolution,[],[f567,f11])). 20.96/4.46 fof(f621,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1,X4] : (~is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3)) | is_a_theorem(implies(X0,X3)) | ~is_a_theorem(implies(X0,implies(X1,X2)))) )), 20.96/4.46 inference(resolution,[],[f579,f14])). 20.96/4.46 fof(f634,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,implies(X3,implies(not(X1),X1)))) | is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))) )), 20.96/4.46 inference(resolution,[],[f621,f30])). 20.96/4.46 fof(f678,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))) )), 20.96/4.46 inference(resolution,[],[f634,f98])). 20.96/4.46 fof(f694,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) | ~is_a_theorem(X0)) )), 20.96/4.46 inference(resolution,[],[f678,f14])). 20.96/4.46 fof(f868,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X0,X2)) | is_a_theorem(implies(X1,X2)) | ~is_a_theorem(X0)) )), 20.96/4.46 inference(resolution,[],[f694,f14])). 20.96/4.46 fof(f874,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(not(X1),X3),X2)) | is_a_theorem(implies(X0,implies(X1,X2)))) )), 20.96/4.46 inference(resolution,[],[f868,f19])). 20.96/4.46 fof(f1003,plain,( 20.96/4.46 ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(X1,X1)))) )), 20.96/4.46 inference(resolution,[],[f874,f12])). 20.96/4.46 fof(f1041,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,implies(implies(X3,X3),X2))) | is_a_theorem(implies(X0,implies(X1,X2)))) )), 20.96/4.46 inference(resolution,[],[f1003,f43])). 20.96/4.46 fof(f1042,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))) )), 20.96/4.46 inference(resolution,[],[f1003,f15])). 20.96/4.46 fof(f1057,plain,( 20.96/4.46 ( ! [X0,X1] : (~is_a_theorem(implies(implies(X1,X1),X0)) | is_a_theorem(X0)) )), 20.96/4.46 inference(resolution,[],[f1003,f165])). 20.96/4.46 fof(f1071,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1)))) )), 20.96/4.46 inference(resolution,[],[f1042,f37])). 20.96/4.46 fof(f1156,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1))))) )), 20.96/4.46 inference(resolution,[],[f1041,f32])). 20.96/4.46 fof(f1622,plain,( 20.96/4.46 ( ! [X0,X1] : (is_a_theorem(implies(implies(implies(X0,X0),X1),X1))) )), 20.96/4.46 inference(resolution,[],[f1071,f1057])). 20.96/4.46 fof(f1640,plain,( 20.96/4.46 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X2),X2)) | ~is_a_theorem(implies(X0,X1))) )), 20.96/4.46 inference(resolution,[],[f1622,f319])). 20.96/4.46 fof(f2791,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X2,X0),implies(X3,X1))) | ~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(implies(X3,X2))) )), 20.96/4.46 inference(resolution,[],[f1640,f415])). 20.96/4.46 fof(f2937,plain,( 20.96/4.46 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X3,X0)) | ~is_a_theorem(implies(X2,X3)) | is_a_theorem(implies(X2,X1)) | ~is_a_theorem(implies(X0,X1))) )), 20.96/4.46 inference(resolution,[],[f2791,f14])). 20.96/4.46 fof(f2948,plain,( 20.96/4.46 $false), 20.96/4.46 inference(unit_resulting_resolution,[],[f2937,f235,f12,f678,f1156])). 20.96/4.46 % SZS output end Proof for theBenchmark 20.96/4.46 % (2495678)------------------------------ 20.96/4.46 % (2495678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 20.96/4.46 % (2495678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 20.96/4.46 % (2495678)CaDiCaL version: 2.1.3 20.96/4.46 % (2495678)Termination reason: Refutation 20.96/4.46 % (2495678)Time elapsed: 2.123 s 20.96/4.46 % (2495678)Peak memory usage: 138 MB 20.96/4.46 % (2495678)Instructions burned: 2140 (million) 20.96/4.46 % (2495678)------------------------------ 20.96/4.46 % (2495678)------------------------------ 20.96/4.46 % (2495672)Success in time 2.853 s 20.96/4.46 % Vampire exiting 20.96/4.47 EOF