0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.09/0.36 % Computer : n007.cluster.edu 0.09/0.36 % Model : x86_64 x86_64 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.36 % Memory : 8046.5625MB 0.09/0.36 % OS : Linux 6.8.0-71-generic 0.09/0.36 % CPULimit : 1440 0.09/0.36 % WCLimit : 180 0.09/0.36 % DateTime : Mon Jul 27 09:34:18 UTC 2026 0.09/0.36 % CPUTime : 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.09/0.40 Running first-order theorem proving 0.09/0.40 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 3.95/1.52 % (903838)Detected formulas, will run a generic FOF schedule. 3.95/1.52 % (903844)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=655007263:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi) 3.95/1.52 % (903845)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=1192549376:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi) 3.95/1.52 % (903846)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1459005976:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi) 3.95/1.52 % (903848)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3224392125:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi) 3.95/1.52 % (903843)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=3858933488:i=141193_1799 on theBenchmark for (1799ds/141193Mi) 3.95/1.52 % (903849)dis-21_1_sil=8000:lcm=predicate:random_seed=229881470: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) 3.95/1.52 % (903847)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3215549645:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi) 3.95/1.52 % (903848)First to succeed. 3.95/1.52 % (903848)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-903838" 3.95/1.52 % (903849)Instruction limit reached! 3.95/1.52 % (903849)------------------------------ 3.95/1.52 % (903849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 3.95/1.52 % (903849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.95/1.52 % (903849)CaDiCaL version: 2.1.3 3.95/1.52 % (903849)Termination reason: Instruction limit 3.95/1.52 % (903849)Termination phase: Saturation 3.95/1.52 % (903849)Time elapsed: 0.052 s 3.95/1.52 % (903849)Peak memory usage: 88 MB 3.95/1.52 % (903849)Instructions burned: 129 (million) 3.95/1.52 % (903847)Instruction limit reached! 3.95/1.52 % (903847)------------------------------ 3.95/1.52 % (903847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 3.95/1.52 % (903847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.95/1.52 % (903847)CaDiCaL version: 2.1.3 3.95/1.52 % (903847)Termination reason: Instruction limit 3.95/1.52 % (903847)Termination phase: Saturation 3.95/1.52 % (903847)Time elapsed: 0.050 s 3.95/1.52 % (903847)Peak memory usage: 88 MB 3.95/1.52 % (903847)Instructions burned: 121 (million) 3.95/1.52 % (903846)Instruction limit reached! 3.95/1.52 % (903846)------------------------------ 3.95/1.52 % (903846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 3.95/1.52 % (903846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.95/1.52 % (903846)CaDiCaL version: 2.1.3 3.95/1.52 % (903846)Termination reason: Instruction limit 3.95/1.52 % (903846)Termination phase: Saturation 3.95/1.52 % (903846)Time elapsed: 0.094 s 3.95/1.52 % (903846)Peak memory usage: 88 MB 3.95/1.52 % (903846)Instructions burned: 109 (million) 3.95/1.52 % (903857)lrs+10_1_sil=8000:sp=occurrence:random_seed=3474859977:i=285:sd=3:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/285Mi) 3.95/1.52 % (903858)lrs+10_1_sil=32000:urr=on:br=off:random_seed=625679647:i=157:sd=1:gtg=position:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/157Mi) 3.95/1.52 % (903857)Also succeeded, but the first one will report. 3.95/1.52 % (903859)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1141493504:i=325:sd=1:ss=axioms:sgt=32_1797 on theBenchmark for (1797ds/325Mi) 3.95/1.52 % (903858)Instruction limit reached! 3.95/1.52 % (903858)------------------------------ 3.95/1.52 % (903858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 3.95/1.52 % (903858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.95/1.52 % (903858)CaDiCaL version: 2.1.3 3.95/1.52 % (903858)Termination reason: Instruction limit 3.95/1.52 % (903858)Termination phase: Saturation 3.95/1.52 % (903858)Time elapsed: 0.076 s 3.95/1.52 % (903858)Peak memory usage: 89 MB 3.95/1.52 % (903858)Instructions burned: 159 (million) 3.95/1.52 % (903859)Also succeeded, but the first one will report. 3.95/1.52 % (903848)Refutation found. Thanks to Tanya! 3.95/1.52 % SZS status Theorem for theBenchmark 3.95/1.52 % SZS output start Proof for theBenchmark 3.95/1.52 fof(f3,axiom,( 3.95/1.52 ! [X0] : less_than(bottom,X0)), 3.95/1.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bottom_smallest)). 3.95/1.52 fof(f21,axiom,( 3.95/1.52 ! [X0,X1,X2,X3] : triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2) = insert_cpq(triple(X0,X1,X2),X3)), 3.95/1.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42)). 3.95/1.52 fof(f36,axiom,( 3.95/1.52 ! [X0,X1,X2,X3,X4] : (less_than(X4,X3) => (check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) <=> check_cpq(triple(X0,X1,X2))))), 3.95/1.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37)). 3.95/1.52 fof(f42,axiom,( 3.95/1.52 ! [X0,X1,X2] : (check_cpq(triple(X0,X1,X2)) <=> ! [X3,X4] : (pair_in_list(X1,X3,X4) => less_than(X4,X3)))), 3.95/1.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l26_li4142)). 3.95/1.52 fof(f43,conjecture,( 3.95/1.52 ! [X0,X1,X2] : (~check_cpq(triple(X0,X1,X2)) => ! [X3] : ~check_cpq(insert_cpq(triple(X0,X1,X2),X3)))), 3.95/1.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l26_co)). 3.95/1.52 fof(f44,negated_conjecture,( 3.95/1.52 ~! [X0,X1,X2] : (~check_cpq(triple(X0,X1,X2)) => ! [X3] : ~check_cpq(insert_cpq(triple(X0,X1,X2),X3)))), 3.95/1.52 inference(negated_conjecture,[status(cth)],[f43])). 3.95/1.52 fof(f78,plain,( 3.95/1.52 ! [X0,X1,X2,X3,X4] : ((check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) <=> check_cpq(triple(X0,X1,X2))) | ~less_than(X4,X3))), 3.95/1.52 inference(ennf_transformation,[],[f36])). 3.95/1.52 fof(f83,plain,( 3.95/1.52 ! [X0,X1,X2] : (check_cpq(triple(X0,X1,X2)) <=> ! [X3,X4] : (less_than(X4,X3) | ~pair_in_list(X1,X3,X4)))), 3.95/1.52 inference(ennf_transformation,[],[f42])). 3.95/1.52 fof(f84,plain,( 3.95/1.52 ? [X0,X1,X2] : (? [X3] : check_cpq(insert_cpq(triple(X0,X1,X2),X3)) & ~check_cpq(triple(X0,X1,X2)))), 3.95/1.52 inference(ennf_transformation,[],[f44])). 3.95/1.52 fof(f89,plain,( 3.95/1.52 ! [X0,X1,X2,X3,X4] : (((check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) | ~check_cpq(triple(X0,X1,X2))) & (check_cpq(triple(X0,X1,X2)) | ~check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)))) | ~less_than(X4,X3))), 3.95/1.52 inference(nnf_transformation,[],[f78])). 3.95/1.52 fof(f91,plain,( 3.95/1.52 ! [X0,X1,X2] : ((check_cpq(triple(X0,X1,X2)) | ? [X3,X4] : (~less_than(X4,X3) & pair_in_list(X1,X3,X4))) & (! [X3,X4] : (less_than(X4,X3) | ~pair_in_list(X1,X3,X4)) | ~check_cpq(triple(X0,X1,X2))))), 3.95/1.52 inference(nnf_transformation,[],[f83])). 3.95/1.52 fof(f92,plain,( 3.95/1.52 ! [X0,X1,X2] : ((check_cpq(triple(X0,X1,X2)) | ? [X3,X4] : (~less_than(X4,X3) & pair_in_list(X1,X3,X4))) & (! [X5,X6] : (less_than(X6,X5) | ~pair_in_list(X1,X5,X6)) | ~check_cpq(triple(X0,X1,X2))))), 3.95/1.52 inference(rectify,[],[f91])). 3.95/1.52 fof(f93,plain,( 3.95/1.52 ! [X0,X1,X2] : ((check_cpq(triple(X0,X1,X2)) | (~less_than(sK1(X1),sK0(X1)) & pair_in_list(X1,sK0(X1),sK1(X1)))) & (! [X5,X6] : (less_than(X6,X5) | ~pair_in_list(X1,X5,X6)) | ~check_cpq(triple(X0,X1,X2))))), 3.95/1.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X1)),skolemize(X4,sK1(X1))],[f92])). 3.95/1.52 fof(f94,plain,( 3.95/1.52 check_cpq(insert_cpq(triple(sK2,sK3,sK4),sK5)) & ~check_cpq(triple(sK2,sK3,sK4))), 3.95/1.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f84])). 3.95/1.52 fof(f97,plain,( 3.95/1.52 ( ! [X0] : (less_than(bottom,X0)) )), 3.95/1.52 inference(cnf_transformation,[],[f3])). 3.95/1.52 fof(f120,plain,( 3.95/1.52 ( ! [X2,X3,X0,X1] : (triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2) = insert_cpq(triple(X0,X1,X2),X3)) )), 3.95/1.52 inference(cnf_transformation,[],[f21])). 3.95/1.52 fof(f135,plain,( 3.95/1.52 ( ! [X2,X3,X0,X1,X4] : (check_cpq(triple(X0,X1,X2)) | ~check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) | ~less_than(X4,X3)) )), 3.95/1.52 inference(cnf_transformation,[],[f89])). 3.95/1.52 fof(f143,plain,( 3.95/1.52 ( ! [X2,X0,X1,X6,X5] : (less_than(X6,X5) | ~pair_in_list(X1,X5,X6) | ~check_cpq(triple(X0,X1,X2))) )), 3.95/1.52 inference(cnf_transformation,[],[f93])). 3.95/1.52 fof(f144,plain,( 3.95/1.52 ( ! [X2,X0,X1] : (check_cpq(triple(X0,X1,X2)) | pair_in_list(X1,sK0(X1),sK1(X1))) )), 3.95/1.52 inference(cnf_transformation,[],[f93])). 3.95/1.52 fof(f145,plain,( 3.95/1.52 ( ! [X2,X0,X1] : (~less_than(sK1(X1),sK0(X1)) | check_cpq(triple(X0,X1,X2))) )), 3.95/1.52 inference(cnf_transformation,[],[f93])). 3.95/1.52 fof(f146,plain,( 3.95/1.52 ~check_cpq(triple(sK2,sK3,sK4))), 3.95/1.52 inference(cnf_transformation,[],[f94])). 3.95/1.52 fof(f147,plain,( 3.95/1.52 check_cpq(insert_cpq(triple(sK2,sK3,sK4),sK5))), 3.95/1.52 inference(cnf_transformation,[],[f94])). 3.95/1.52 fof(f155,plain,( 3.95/1.52 ( ! [X2,X3,X0,X1,X4,X5] : (~check_cpq(triple(X2,X0,X3)) | ~pair_in_list(X0,sK0(X1),sK1(X1)) | check_cpq(triple(X4,X1,X5))) )), 3.95/1.52 inference(resolution,[],[f143,f145])). 3.95/1.52 fof(f170,plain,( 3.95/1.52 ( ! [X0,X1] : (~check_cpq(triple(sK2,insert_slb(sK3,pair(X0,X1)),sK4)) | ~less_than(X1,X0)) )), 3.95/1.52 inference(resolution,[],[f135,f146])). 3.95/1.52 fof(f173,plain,( 3.95/1.52 ( ! [X0,X1] : (pair_in_list(insert_slb(sK3,pair(X1,X0)),sK0(insert_slb(sK3,pair(X1,X0))),sK1(insert_slb(sK3,pair(X1,X0)))) | ~less_than(X0,X1)) )), 3.95/1.52 inference(resolution,[],[f170,f144])). 3.95/1.52 fof(f265,plain,( 3.95/1.52 ( ! [X2,X3,X0,X1,X6,X4,X5] : (~check_cpq(insert_cpq(triple(X0,X1,X2),X3)) | ~pair_in_list(insert_slb(X1,pair(X3,bottom)),sK0(X4),sK1(X4)) | check_cpq(triple(X5,X4,X6))) )), 3.95/1.52 inference(superposition,[],[f155,f120])). 3.95/1.52 fof(f398,plain,( 3.95/1.52 ( ! [X2,X0,X1] : (~pair_in_list(insert_slb(sK3,pair(sK5,bottom)),sK0(X0),sK1(X0)) | check_cpq(triple(X1,X0,X2))) )), 3.95/1.52 inference(resolution,[],[f265,f147])). 3.95/1.52 fof(f404,plain,( 3.95/1.52 ( ! [X0,X1] : (check_cpq(triple(X0,insert_slb(sK3,pair(sK5,bottom)),X1)) | ~less_than(bottom,sK5)) )), 3.95/1.52 inference(resolution,[],[f398,f173])). 3.95/1.52 fof(f409,plain,( 3.95/1.52 ( ! [X0,X1] : (check_cpq(triple(X0,insert_slb(sK3,pair(sK5,bottom)),X1))) )), 3.95/1.52 inference(forward_subsumption_resolution,[],[f404,f97])). 3.95/1.52 fof(f411,plain,( 3.95/1.52 ~less_than(bottom,sK5)), 3.95/1.52 inference(resolution,[],[f409,f170])). 3.95/1.52 fof(f416,plain,( 3.95/1.52 $false), 3.95/1.52 inference(forward_subsumption_resolution,[],[f411,f97])). 3.95/1.52 % SZS output end Proof for theBenchmark 3.95/1.52 % (903848)------------------------------ 3.95/1.52 % (903848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 3.95/1.52 % (903848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.95/1.52 % (903848)CaDiCaL version: 2.1.3 3.95/1.52 % (903848)Termination reason: Refutation 3.95/1.52 % (903848)Time elapsed: 0.031 s 3.95/1.52 % (903848)Peak memory usage: 89 MB 3.95/1.52 % (903848)Instructions burned: 45 (million) 3.95/1.52 % (903848)------------------------------ 3.95/1.52 % (903848)------------------------------ 3.95/1.52 % (903838)Success in time 0.473 s 3.95/1.52 % Vampire exiting 3.95/1.53 EOF