0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.11/0.36 % Computer : n013.cluster.edu 0.11/0.36 % Model : x86_64 x86_64 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.36 % Memory : 8046.5625MB 0.11/0.36 % OS : Linux 6.8.0-71-generic 0.11/0.36 % CPULimit : 1440 0.11/0.36 % WCLimit : 180 0.11/0.36 % DateTime : Mon Jul 27 10:27:24 UTC 2026 0.11/0.37 % CPUTime : 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.11/0.41 Running first-order theorem proving 0.11/0.41 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 12.58/2.65 % (1330788)Detected formulas, will run a generic FOF schedule. 12.58/2.65 % (1330793)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=3540179638:i=141193_1799 on theBenchmark for (1799ds/141193Mi) 12.58/2.65 % (1330796)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=408914777:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi) 12.58/2.65 % (1330798)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2578051671:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi) 12.58/2.65 % (1330794)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=1659657057:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi) 12.58/2.65 % (1330795)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=594974574:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi) 12.58/2.65 % (1330796)Refutation not found, incomplete strategy 12.58/2.65 % (1330796)------------------------------ 12.58/2.65 % (1330796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330796)CaDiCaL version: 2.1.3 12.58/2.65 % (1330796)Termination reason: Refutation not found, incomplete strategy 12.58/2.65 % (1330796)Time elapsed: 0.001 s 12.58/2.65 % (1330796)Peak memory usage: 87 MB 12.58/2.65 % (1330797)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1871813565:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi) 12.58/2.65 % (1330799)dis-21_1_sil=8000:lcm=predicate:random_seed=2340365028: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) 12.58/2.65 % (1330799)Instruction limit reached! 12.58/2.65 % (1330799)------------------------------ 12.58/2.65 % (1330799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330799)CaDiCaL version: 2.1.3 12.58/2.65 % (1330799)Termination reason: Instruction limit 12.58/2.65 % (1330799)Termination phase: Saturation 12.58/2.65 % (1330799)Time elapsed: 0.078 s 12.58/2.65 % (1330799)Peak memory usage: 89 MB 12.58/2.65 % (1330799)Instructions burned: 130 (million) 12.58/2.65 % (1330798)Instruction limit reached! 12.58/2.65 % (1330798)------------------------------ 12.58/2.65 % (1330798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330798)CaDiCaL version: 2.1.3 12.58/2.65 % (1330798)Termination reason: Instruction limit 12.58/2.65 % (1330798)Termination phase: Saturation 12.58/2.65 % (1330798)Time elapsed: 0.093 s 12.58/2.65 % (1330798)Peak memory usage: 89 MB 12.58/2.65 % (1330798)Instructions burned: 140 (million) 12.58/2.65 % (1330797)Instruction limit reached! 12.58/2.65 % (1330797)------------------------------ 12.58/2.65 % (1330797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330797)CaDiCaL version: 2.1.3 12.58/2.65 % (1330797)Termination reason: Instruction limit 12.58/2.65 % (1330797)Termination phase: Saturation 12.58/2.65 % (1330797)Time elapsed: 0.108 s 12.58/2.65 % (1330797)Peak memory usage: 87 MB 12.58/2.65 % (1330797)Instructions burned: 120 (million) 12.58/2.65 % (1330796)------------------------------ 12.58/2.65 % (1330796)------------------------------ 12.58/2.65 % (1330808)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2633673482:i=157:sd=1:gtg=position:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/157Mi) 12.58/2.65 % (1330807)lrs+10_1_sil=8000:sp=occurrence:random_seed=1093234572:i=285:sd=3:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/285Mi) 12.58/2.65 % (1330809)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1662352393:i=325:sd=1:ss=axioms:sgt=32_1797 on theBenchmark for (1797ds/325Mi) 12.58/2.65 % (1330808)Instruction limit reached! 12.58/2.65 % (1330808)------------------------------ 12.58/2.65 % (1330808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330808)CaDiCaL version: 2.1.3 12.58/2.65 % (1330808)Termination reason: Instruction limit 12.58/2.65 % (1330808)Termination phase: Saturation 12.58/2.65 % (1330808)Time elapsed: 0.091 s 12.58/2.65 % (1330808)Peak memory usage: 89 MB 12.58/2.65 % (1330808)Instructions burned: 158 (million) 12.58/2.65 % (1330810)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=1385817220:s2a=on:i=248:s2at=1.23:gtg=position_1795 on theBenchmark for (1795ds/248Mi) 12.58/2.65 % (1330807)Instruction limit reached! 12.58/2.65 % (1330807)------------------------------ 12.58/2.65 % (1330807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330807)CaDiCaL version: 2.1.3 12.58/2.65 % (1330807)Termination reason: Instruction limit 12.58/2.65 % (1330807)Termination phase: Saturation 12.58/2.65 % (1330807)Time elapsed: 0.177 s 12.58/2.65 % (1330807)Peak memory usage: 90 MB 12.58/2.65 % (1330807)Instructions burned: 285 (million) 12.58/2.65 % (1330809)Instruction limit reached! 12.58/2.65 % (1330809)------------------------------ 12.58/2.65 % (1330809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330809)CaDiCaL version: 2.1.3 12.58/2.65 % (1330809)Termination reason: Instruction limit 12.58/2.65 % (1330809)Termination phase: Saturation 12.58/2.65 % (1330809)Time elapsed: 0.212 s 12.58/2.65 % (1330809)Peak memory usage: 93 MB 12.58/2.65 % (1330809)Instructions burned: 326 (million) 12.58/2.65 % (1330814)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2007328236:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_1794 on theBenchmark for (1794ds/294Mi) 12.58/2.65 % (1330814)Refutation not found, incomplete strategy 12.58/2.65 % (1330814)------------------------------ 12.58/2.65 % (1330814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330814)CaDiCaL version: 2.1.3 12.58/2.65 % (1330814)Termination reason: Refutation not found, incomplete strategy 12.58/2.65 % (1330814)Time elapsed: 0.001 s 12.58/2.65 % (1330814)Peak memory usage: 87 MB 12.58/2.65 % (1330810)Instruction limit reached! 12.58/2.65 % (1330810)------------------------------ 12.58/2.65 % (1330810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330810)CaDiCaL version: 2.1.3 12.58/2.65 % (1330810)Termination reason: Instruction limit 12.58/2.65 % (1330810)Termination phase: Saturation 12.58/2.65 % (1330810)Time elapsed: 0.139 s 12.58/2.65 % (1330810)Peak memory usage: 89 MB 12.58/2.65 % (1330810)Instructions burned: 248 (million) 12.58/2.65 % (1330816)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3131669246:i=2350_1794 on theBenchmark for (1794ds/2350Mi) 12.58/2.65 % (1330817)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2115384336:cts=off:i=113:fsr=off:ss=included:sgt=4_1793 on theBenchmark for (1793ds/113Mi) 12.58/2.65 % (1330819)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2394977353:i=127:av=off:fsr=off:sup=off_1793 on theBenchmark for (1793ds/127Mi) 12.58/2.65 % (1330814)------------------------------ 12.58/2.65 % (1330814)------------------------------ 12.58/2.65 % (1330817)Instruction limit reached! 12.58/2.65 % (1330817)------------------------------ 12.58/2.65 % (1330817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330817)CaDiCaL version: 2.1.3 12.58/2.65 % (1330817)Termination reason: Instruction limit 12.58/2.65 % (1330817)Termination phase: Saturation 12.58/2.65 % (1330817)Time elapsed: 0.068 s 12.58/2.65 % (1330817)Peak memory usage: 89 MB 12.58/2.65 % (1330817)Instructions burned: 113 (million) 12.58/2.65 % (1330819)Instruction limit reached! 12.58/2.65 % (1330819)------------------------------ 12.58/2.65 % (1330819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330819)CaDiCaL version: 2.1.3 12.58/2.65 % (1330819)Termination reason: Instruction limit 12.58/2.65 % (1330819)Termination phase: Saturation 12.58/2.65 % (1330819)Time elapsed: 0.072 s 12.58/2.65 % (1330819)Peak memory usage: 88 MB 12.58/2.65 % (1330819)Instructions burned: 127 (million) 12.58/2.65 % (1330824)lrs+10_1_sil=8000:sp=occurrence:random_seed=1583305264:st=1.2:i=907:sd=14:ss=axioms:sgt=12_1791 on theBenchmark for (1791ds/907Mi) 12.58/2.65 % (1330823)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2838138335:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_1791 on theBenchmark for (1791ds/114Mi) 12.58/2.65 % (1330825)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=580307673:i=437:sd=1:aac=none:ss=included_1790 on theBenchmark for (1790ds/437Mi) 12.58/2.65 % (1330825)Refutation not found, incomplete strategy 12.58/2.65 % (1330825)------------------------------ 12.58/2.65 % (1330825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330825)CaDiCaL version: 2.1.3 12.58/2.65 % (1330825)Termination reason: Refutation not found, incomplete strategy 12.58/2.65 % (1330825)Time elapsed: 0.001 s 12.58/2.65 % (1330825)Peak memory usage: 88 MB 12.58/2.65 % (1330823)Instruction limit reached! 12.58/2.65 % (1330823)------------------------------ 12.58/2.65 % (1330823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330823)CaDiCaL version: 2.1.3 12.58/2.65 % (1330823)Termination reason: Instruction limit 12.58/2.65 % (1330823)Termination phase: Saturation 12.58/2.65 % (1330823)Time elapsed: 0.077 s 12.58/2.65 % (1330823)Peak memory usage: 89 MB 12.58/2.65 % (1330823)Instructions burned: 115 (million) 12.58/2.65 % (1330829)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2936736260:i=5202:ss=axioms:sgt=16_1788 on theBenchmark for (1788ds/5202Mi) 12.58/2.65 % (1330825)------------------------------ 12.58/2.65 % (1330825)------------------------------ 12.58/2.65 % (1330831)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=891709816:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_1786 on theBenchmark for (1786ds/134Mi) 12.58/2.65 % (1330794)First to succeed. 12.58/2.65 % (1330794)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1330788" 12.58/2.65 % (1330831)Instruction limit reached! 12.58/2.65 % (1330831)------------------------------ 12.58/2.65 % (1330831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330831)CaDiCaL version: 2.1.3 12.58/2.65 % (1330831)Termination reason: Instruction limit 12.58/2.65 % (1330831)Termination phase: Saturation 12.58/2.65 % (1330831)Time elapsed: 0.096 s 12.58/2.65 % (1330831)Peak memory usage: 89 MB 12.58/2.65 % (1330831)Instructions burned: 136 (million) 12.58/2.65 % (1330824)Instruction limit reached! 12.58/2.65 % (1330824)------------------------------ 12.58/2.65 % (1330824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330824)CaDiCaL version: 2.1.3 12.58/2.65 % (1330824)Termination reason: Instruction limit 12.58/2.65 % (1330824)Termination phase: Saturation 12.58/2.65 % (1330824)Time elapsed: 0.653 s 12.58/2.65 % (1330824)Peak memory usage: 95 MB 12.58/2.65 % (1330824)Instructions burned: 907 (million) 12.58/2.65 % (1330833)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=262225215:st=8:i=592:sd=3:ep=RST:ss=axioms_1784 on theBenchmark for (1784ds/592Mi) 12.58/2.65 % (1330833)Refutation not found, incomplete strategy 12.58/2.65 % (1330833)------------------------------ 12.58/2.65 % (1330833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 12.58/2.65 % (1330833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.58/2.65 % (1330833)CaDiCaL version: 2.1.3 12.58/2.65 % (1330833)Termination reason: Refutation not found, incomplete strategy 12.58/2.65 % (1330833)Time elapsed: 0.001 s 12.58/2.65 % (1330833)Peak memory usage: 88 MB 12.58/2.65 % (1330794)Refutation found. Thanks to Tanya! 12.58/2.65 % SZS status Theorem for theBenchmark 12.58/2.65 % SZS output start Proof for theBenchmark 12.58/2.65 fof(f1,axiom,( 12.58/2.65 ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))), 12.58/2.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1)). 12.58/2.65 fof(f2,axiom,( 12.58/2.65 ! [X0,X1] : ((is_a_theorem(implies(X0,X1)) & is_a_theorem(X0)) => is_a_theorem(X1))), 12.58/2.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)). 12.58/2.65 fof(f3,axiom,( 12.58/2.65 ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))), 12.58/2.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3)). 12.58/2.65 fof(f4,conjecture,( 12.58/2.65 is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z))))), 12.58/2.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_32)). 12.58/2.65 fof(f5,negated_conjecture,( 12.58/2.65 ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z))))), 12.58/2.65 inference(negated_conjecture,[status(cth)],[f4])). 12.58/2.65 fof(f6,axiom,( 12.58/2.65 ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))), 12.58/2.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2)). 12.58/2.65 fof(f7,plain,( 12.58/2.65 ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z))))), 12.58/2.65 inference(flattening,[],[f5])). 12.58/2.65 fof(f8,plain,( 12.58/2.65 ! [X0,X1] : (is_a_theorem(X1) | (~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0)))), 12.58/2.65 inference(ennf_transformation,[],[f2])). 12.58/2.65 fof(f9,plain,( 12.58/2.65 ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0))), 12.58/2.65 inference(flattening,[],[f8])). 12.58/2.65 fof(f10,plain,( 12.58/2.65 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))) )), 12.58/2.65 inference(cnf_transformation,[],[f1])). 12.58/2.65 fof(f11,plain,( 12.58/2.65 ( ! [X0,X1] : (~is_a_theorem(implies(X0,X1)) | is_a_theorem(X1) | ~is_a_theorem(X0)) )), 12.58/2.65 inference(cnf_transformation,[],[f9])). 12.58/2.65 fof(f12,plain,( 12.58/2.65 ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(not(X0),X1)))) )), 12.58/2.65 inference(cnf_transformation,[],[f3])). 12.58/2.65 fof(f13,plain,( 12.58/2.65 ~is_a_theorem(implies(implies(implies(x,y),z),implies(implies(x,u),implies(implies(u,z),z))))), 12.58/2.65 inference(cnf_transformation,[],[f7])). 12.58/2.65 fof(f14,plain,( 12.58/2.65 ( ! [X0] : (is_a_theorem(implies(implies(not(X0),X0),X0))) )), 12.58/2.65 inference(cnf_transformation,[],[f6])). 12.58/2.65 fof(f15,plain,( 12.58/2.65 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X2,X0)) | is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))) )), 12.58/2.65 inference(resolution,[],[f11,f10])). 12.58/2.65 fof(f16,plain,( 12.58/2.65 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))) )), 12.58/2.65 inference(resolution,[],[f15,f10])). 12.58/2.65 fof(f18,plain,( 12.58/2.65 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2)) | is_a_theorem(implies(implies(X0,X1),X2))) )), 12.58/2.65 inference(resolution,[],[f16,f11])). 12.58/2.65 fof(f19,plain,( 12.58/2.65 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2)))) )), 12.58/2.65 inference(resolution,[],[f12,f15])). 12.58/2.65 fof(f21,plain,( 12.58/2.65 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2)))))) )), 12.58/2.65 inference(resolution,[],[f18,f16])). 12.58/2.65 fof(f22,plain,( 12.58/2.65 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3))))) )), 12.58/2.65 inference(resolution,[],[f18,f10])). 12.58/2.65 fof(f26,plain,( 12.58/2.65 ( ! [X2,X0,X1] : (~is_a_theorem(implies(implies(not(X0),X2),X1)) | is_a_theorem(implies(X0,X1))) )), 12.58/2.65 inference(resolution,[],[f19,f11])). 12.58/2.65 fof(f27,plain,( 12.58/2.65 ( ! [X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1)))) )), 12.58/2.65 inference(resolution,[],[f14,f15])). 12.58/2.65 fof(f30,plain,( 12.58/2.65 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2)))) )), 12.58/2.65 inference(resolution,[],[f27,f15])). 12.58/2.65 fof(f31,plain,( 12.58/2.65 ( ! [X0,X1] : (is_a_theorem(implies(implies(not(X0),X0),X1)) | ~is_a_theorem(implies(X0,X1))) )), 12.58/2.65 inference(resolution,[],[f27,f11])). 12.58/2.65 fof(f34,plain,( 12.58/2.65 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3)))) | ~is_a_theorem(implies(X2,implies(X1,X3)))) )), 12.58/2.65 inference(resolution,[],[f21,f11])). 12.58/2.65 fof(f37,plain,( 12.58/2.65 ( ! [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)))) )), 13.33/2.84 inference(resolution,[],[f34,f11])). 13.33/2.84 fof(f38,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1,X4] : (~is_a_theorem(implies(X0,implies(implies(implies(X2,X4),implies(X1,X4)),X3))) | is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))) )), 13.33/2.84 inference(resolution,[],[f37,f10])). 13.33/2.84 fof(f44,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,implies(implies(not(X1),X3),X2))) | is_a_theorem(implies(X0,implies(X1,X2)))) )), 13.33/2.84 inference(resolution,[],[f37,f12])). 13.33/2.84 fof(f58,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2))))) )), 13.33/2.84 inference(resolution,[],[f30,f18])). 13.33/2.84 fof(f63,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X2),implies(implies(X1,X0),X2))))) )), 13.33/2.84 inference(resolution,[],[f58,f18])). 13.33/2.84 fof(f67,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X2,implies(not(X0),X0))) | is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))) )), 13.33/2.84 inference(resolution,[],[f58,f11])). 13.33/2.84 fof(f86,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2))) | ~is_a_theorem(implies(X0,X3))) )), 13.33/2.84 inference(resolution,[],[f22,f11])). 13.33/2.84 fof(f165,plain,( 13.33/2.84 ( ! [X0,X1] : (~is_a_theorem(implies(not(X0),X0)) | is_a_theorem(X1) | ~is_a_theorem(implies(X0,X1))) )), 13.33/2.84 inference(resolution,[],[f31,f11])). 13.33/2.84 fof(f168,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(implies(X2,X0),X1))))) )), 13.33/2.84 inference(resolution,[],[f63,f26])). 13.33/2.84 fof(f283,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X1))) | ~is_a_theorem(X0)) )), 13.33/2.84 inference(resolution,[],[f168,f11])). 13.33/2.84 fof(f302,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X1,X0),X2)) | ~is_a_theorem(X0) | ~is_a_theorem(implies(X0,X2))) )), 13.33/2.84 inference(resolution,[],[f283,f11])). 13.33/2.84 fof(f306,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0) | is_a_theorem(implies(X2,X1))) )), 13.33/2.84 inference(resolution,[],[f302,f26])). 13.33/2.84 fof(f328,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(not(X0),X1),X2)) | is_a_theorem(implies(X3,implies(X0,X2)))) )), 13.33/2.84 inference(resolution,[],[f306,f19])). 13.33/2.84 fof(f386,plain,( 13.33/2.84 ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(X1,X1)))) )), 13.33/2.84 inference(resolution,[],[f328,f14])). 13.33/2.84 fof(f414,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,implies(implies(X3,X3),X2))) | is_a_theorem(implies(X0,implies(X1,X2)))) )), 13.33/2.84 inference(resolution,[],[f386,f37])). 13.33/2.84 fof(f422,plain,( 13.33/2.84 ( ! [X0,X1] : (~is_a_theorem(implies(implies(X1,X1),X0)) | is_a_theorem(X0)) )), 13.33/2.84 inference(resolution,[],[f386,f165])). 13.33/2.84 fof(f486,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1))))) )), 13.33/2.84 inference(resolution,[],[f414,f58])). 13.33/2.84 fof(f504,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X0),X0))))) )), 13.33/2.84 inference(resolution,[],[f414,f168])). 13.33/2.84 fof(f518,plain,( 13.33/2.84 ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1)))) )), 13.33/2.84 inference(resolution,[],[f486,f422])). 13.33/2.84 fof(f548,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X1,X2)))) )), 13.33/2.84 inference(resolution,[],[f504,f67])). 13.33/2.84 fof(f560,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,implies(X0,X2))))) )), 13.33/2.84 inference(resolution,[],[f548,f18])). 13.33/2.84 fof(f585,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X1,implies(X2,X0))) | is_a_theorem(implies(X0,implies(X1,X0)))) )), 13.33/2.84 inference(resolution,[],[f560,f11])). 13.33/2.84 fof(f614,plain,( 13.33/2.84 ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(X1,X0)))) )), 13.33/2.84 inference(resolution,[],[f585,f518])). 13.33/2.84 fof(f635,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(X0,implies(implies(X3,X1),X2))) | is_a_theorem(implies(X0,implies(X1,X2)))) )), 13.33/2.84 inference(resolution,[],[f614,f37])). 13.33/2.84 fof(f650,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3)))) )), 13.33/2.84 inference(resolution,[],[f635,f16])). 13.33/2.84 fof(f671,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))) )), 13.33/2.84 inference(resolution,[],[f635,f386])). 13.33/2.84 fof(f717,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (~is_a_theorem(implies(implies(X1,implies(X2,X1)),X0)) | is_a_theorem(X0)) )), 13.33/2.84 inference(resolution,[],[f671,f165])). 13.33/2.84 fof(f856,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1)))) | ~is_a_theorem(implies(X3,X0))) )), 13.33/2.84 inference(resolution,[],[f717,f86])). 13.33/2.84 fof(f1073,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(implies(X0,X2),implies(X3,X2)),X1)) | is_a_theorem(implies(X0,X1))) )), 13.33/2.84 inference(resolution,[],[f650,f11])). 13.33/2.84 fof(f1089,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2))))) )), 13.33/2.84 inference(resolution,[],[f1073,f486])). 13.33/2.84 fof(f1131,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))) )), 13.33/2.84 inference(resolution,[],[f1089,f67])). 13.33/2.84 fof(f1151,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))) )), 13.33/2.84 inference(resolution,[],[f1131,f18])). 13.33/2.84 fof(f1153,plain,( 13.33/2.84 ( ! [X0,X1] : (is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))) )), 13.33/2.84 inference(resolution,[],[f1131,f422])). 13.33/2.84 fof(f1186,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X1,implies(X0,X2))) | is_a_theorem(implies(X0,implies(X1,X2)))) )), 13.33/2.84 inference(resolution,[],[f1151,f11])). 13.33/2.84 fof(f1217,plain,( 13.33/2.84 ( ! [X0,X1] : (is_a_theorem(implies(not(X0),implies(X0,X1)))) )), 13.33/2.84 inference(resolution,[],[f1153,f44])). 13.33/2.84 fof(f1219,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))) )), 13.33/2.84 inference(resolution,[],[f1153,f38])). 13.33/2.84 fof(f1250,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X3),implies(implies(X3,X1),X2))))) )), 13.33/2.84 inference(resolution,[],[f1219,f38])). 13.33/2.84 fof(f1253,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) | ~is_a_theorem(implies(X1,X2))) )), 13.33/2.84 inference(resolution,[],[f1219,f11])). 13.33/2.84 fof(f1268,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2)))) )), 13.33/2.84 inference(resolution,[],[f1217,f15])). 13.33/2.84 fof(f1349,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X2,X0)) | is_a_theorem(implies(X2,X1)) | ~is_a_theorem(implies(X0,X1))) )), 13.33/2.84 inference(resolution,[],[f1253,f11])). 13.33/2.84 fof(f1704,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1)))) )), 13.33/2.84 inference(resolution,[],[f1268,f67])). 13.33/2.84 fof(f1716,plain,( 13.33/2.84 ( ! [X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X0),X0))) )), 13.33/2.84 inference(resolution,[],[f1704,f422])). 13.33/2.84 fof(f1718,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))) )), 13.33/2.84 inference(resolution,[],[f1704,f717])). 13.33/2.84 fof(f1762,plain,( 13.33/2.84 ( ! [X0,X1] : (~is_a_theorem(implies(implies(X0,X1),X0)) | is_a_theorem(X0)) )), 13.33/2.84 inference(resolution,[],[f1716,f11])). 13.33/2.84 fof(f1888,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1)))) )), 13.33/2.84 inference(resolution,[],[f1718,f1186])). 13.33/2.84 fof(f1903,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1] : (~is_a_theorem(implies(implies(X3,X0),X2)) | is_a_theorem(implies(implies(implies(X0,X1),X0),X2))) )), 13.33/2.84 inference(resolution,[],[f1718,f1349])). 13.33/2.84 fof(f2162,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X1,implies(X0,implies(X1,X2)))) | is_a_theorem(implies(X0,implies(X1,X2)))) )), 13.33/2.84 inference(resolution,[],[f1762,f856])). 13.33/2.84 fof(f2242,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X2),implies(X3,X2))))) )), 13.33/2.84 inference(resolution,[],[f1903,f10])). 13.33/2.84 fof(f2288,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(implies(implies(X0,X1),X2),implies(X3,X2))))) )), 13.33/2.84 inference(resolution,[],[f2242,f18])). 13.33/2.84 fof(f2317,plain,( 13.33/2.84 ( ! [X2,X3,X0,X1] : (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(implies(X2,X0),implies(X3,implies(X2,X1)))))) )), 13.33/2.84 inference(resolution,[],[f2288,f38])). 13.33/2.84 fof(f2369,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,implies(X1,X2)),implies(X0,X2))))) )), 13.33/2.84 inference(resolution,[],[f2317,f2162])). 13.33/2.84 fof(f2471,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(implies(X2,X0),implies(X2,X1))))) )), 13.33/2.84 inference(resolution,[],[f2369,f1186])). 13.33/2.84 fof(f2497,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (~is_a_theorem(implies(X1,implies(X1,X2))) | is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))) )), 13.33/2.84 inference(resolution,[],[f2471,f11])). 13.33/2.84 fof(f2552,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(X0,X1)))) )), 13.33/2.84 inference(resolution,[],[f2497,f1888])). 13.33/2.84 fof(f2575,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0)))) )), 13.33/2.84 inference(resolution,[],[f2552,f18])). 13.33/2.84 fof(f2597,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X1),X1)))) )), 13.33/2.84 inference(resolution,[],[f2575,f18])). 13.33/2.84 fof(f2633,plain,( 13.33/2.84 ( ! [X2,X0,X1] : (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2)))) )), 13.33/2.84 inference(resolution,[],[f2597,f1186])). 13.33/2.84 fof(f2788,plain,( 13.33/2.84 $false), 13.33/2.84 inference(unit_resulting_resolution,[],[f1349,f13,f1250,f2633])). 13.33/2.84 % SZS output end Proof for theBenchmark 13.33/2.84 % (1330794)------------------------------ 13.33/2.84 % (1330794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 13.33/2.84 % (1330794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.33/2.84 % (1330794)CaDiCaL version: 2.1.3 13.33/2.84 % (1330794)Termination reason: Refutation 13.33/2.84 % (1330794)Time elapsed: 1.377 s 13.33/2.84 % (1330794)Peak memory usage: 135 MB 13.33/2.84 % (1330794)Instructions burned: 2225 (million) 13.33/2.84 % (1330794)------------------------------ 13.33/2.84 % (1330794)------------------------------ 13.33/2.84 % (1330788)Success in time 1.797 s 13.33/2.84 % Vampire exiting 13.33/2.84 EOF