0.00/0.02 % 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 0.12/0.38 % Computer : n005.cluster.edu 0.12/0.38 % Model : x86_64 x86_64 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.38 % Memory : 8046.5625MB 0.12/0.38 % OS : Linux 6.8.0-71-generic 0.12/0.38 % CPULimit : 1440 0.12/0.38 % WCLimit : 180 0.12/0.38 % DateTime : Mon Jul 27 09:18:20 UTC 2026 0.12/0.38 % CPUTime : 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.41 Running first-order theorem proving 0.12/0.41 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 2.37/1.12 % (2861921)Detected formulas, will run a generic FOF schedule. 2.37/1.12 % (2861931)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2763231583:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi) 2.37/1.12 % (2861931)First to succeed. 2.37/1.12 % (2861931)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2861921" 2.37/1.12 % (2861930)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1976996027:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi) 2.37/1.12 % (2861926)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=2586605665:i=141193_1799 on theBenchmark for (1799ds/141193Mi) 2.37/1.12 % (2861927)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=3692569041:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi) 2.37/1.12 % (2861928)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=2689654682:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi) 2.37/1.12 % (2861930)Also succeeded, but the first one will report. 2.37/1.12 % (2861929)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2032273040:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi) 2.37/1.12 % (2861929)Refutation not found, incomplete strategy 2.37/1.12 % (2861929)------------------------------ 2.37/1.12 % (2861929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 2.37/1.12 % (2861929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.37/1.12 % (2861929)CaDiCaL version: 2.1.3 2.37/1.12 % (2861929)Termination reason: Refutation not found, incomplete strategy 2.37/1.12 % (2861929)Time elapsed: 0.002 s 2.37/1.12 % (2861929)Peak memory usage: 88 MB 2.37/1.12 % (2861932)dis-21_1_sil=8000:lcm=predicate:random_seed=1204334489: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) 2.37/1.12 % (2861932)Also succeeded, but the first one will report. 2.37/1.12 % (2861931)Refutation found. Thanks to Tanya! 2.37/1.12 % SZS status Theorem for theBenchmark 2.37/1.12 % SZS output start Proof for theBenchmark 2.37/1.12 fof(f12,axiom,( 2.37/1.12 ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X0) => model(X2,X1)))), 2.37/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)). 2.37/1.12 fof(f14,axiom,( 2.37/1.12 ! [X0,X1] : (status(X0,X1,tca) <=> (! [X2] : model(X2,X1) & ~? [X3] : model(X3,X0)))), 2.37/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tca)). 2.37/1.12 fof(f28,axiom,( 2.37/1.12 ! [X0,X1] : (! [X2,X3] : (status(X2,X3,X0) => status(X2,X3,X1)) <=> isa(X0,X1))), 2.37/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa)). 2.37/1.12 fof(f33,conjecture,( 2.37/1.12 isa(tca,thm)), 2.37/1.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_tca_thm)). 2.37/1.12 fof(f34,negated_conjecture,( 2.37/1.12 ~isa(tca,thm)), 2.37/1.12 inference(negated_conjecture,[status(cth)],[f33])). 2.37/1.12 fof(f35,plain,( 2.37/1.12 ~isa(tca,thm)), 2.37/1.12 inference(flattening,[],[f34])). 2.37/1.12 fof(f36,plain,( 2.37/1.12 ! [X0,X1] : (! [X2,X3] : (status(X2,X3,X0) => status(X2,X3,X1)) => isa(X0,X1))), 2.37/1.12 inference(unused_predicate_definition_removal,[],[f28])). 2.37/1.12 fof(f41,plain,( 2.37/1.12 ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X1) | ~model(X2,X0)))), 2.37/1.12 inference(ennf_transformation,[],[f12])). 2.37/1.12 fof(f42,plain,( 2.37/1.12 ! [X0,X1] : (status(X0,X1,tca) <=> (! [X2] : model(X2,X1) & ! [X3] : ~model(X3,X0)))), 2.37/1.12 inference(ennf_transformation,[],[f14])). 2.37/1.12 fof(f47,plain,( 2.37/1.12 ! [X0,X1] : (isa(X0,X1) | ? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)))), 2.37/1.12 inference(ennf_transformation,[],[f36])). 2.37/1.12 fof(f89,plain,( 2.37/1.12 ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)))), 2.37/1.12 inference(nnf_transformation,[],[f41])). 2.37/1.12 fof(f90,plain,( 2.37/1.12 ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))), 2.37/1.12 inference(rectify,[],[f89])). 2.37/1.12 fof(f91,plain,( 2.37/1.12 ! [X0,X1] : ((status(X0,X1,thm) | (~model(sK25(X0,X1),X1) & model(sK25(X0,X1),X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))), 2.37/1.12 inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X2,sK25(X0,X1))],[f90])). 2.37/1.12 fof(f96,plain,( 2.37/1.12 ! [X0,X1] : ((status(X0,X1,tca) | (? [X2] : ~model(X2,X1) | ? [X3] : model(X3,X0))) & ((! [X2] : model(X2,X1) & ! [X3] : ~model(X3,X0)) | ~status(X0,X1,tca)))), 2.37/1.12 inference(nnf_transformation,[],[f42])). 2.37/1.12 fof(f97,plain,( 2.37/1.12 ! [X0,X1] : ((status(X0,X1,tca) | ? [X2] : ~model(X2,X1) | ? [X3] : model(X3,X0)) & ((! [X2] : model(X2,X1) & ! [X3] : ~model(X3,X0)) | ~status(X0,X1,tca)))), 2.37/1.12 inference(flattening,[],[f96])). 2.37/1.12 fof(f98,plain,( 2.37/1.12 ! [X0,X1] : ((status(X0,X1,tca) | ? [X2] : ~model(X2,X1) | ? [X3] : model(X3,X0)) & ((! [X4] : model(X4,X1) & ! [X5] : ~model(X5,X0)) | ~status(X0,X1,tca)))), 2.37/1.12 inference(rectify,[],[f97])). 2.37/1.12 fof(f99,plain,( 2.37/1.12 ! [X0,X1] : ((status(X0,X1,tca) | ~model(sK29(X1),X1) | model(sK30(X0),X0)) & ((! [X4] : model(X4,X1) & ! [X5] : ~model(X5,X0)) | ~status(X0,X1,tca)))), 2.37/1.12 inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30]),skolemize(X2,sK29(X1)),skolemize(X3,sK30(X0))],[f98])). 2.37/1.12 fof(f124,plain,( 2.37/1.12 ! [X0,X1] : (isa(X0,X1) | (~status(sK55(X0,X1),sK56(X0,X1),X1) & status(sK55(X0,X1),sK56(X0,X1),X0)))), 2.37/1.12 inference(skolemize,[status(esa),new_symbols(skolem,[sK55,sK56]),skolemize(X2,sK55(X0,X1)),skolemize(X3,sK56(X0,X1))],[f47])). 2.37/1.12 fof(f173,plain,( 2.37/1.12 ( ! [X0,X1] : (model(sK25(X0,X1),X0) | status(X0,X1,thm)) )), 2.37/1.12 inference(cnf_transformation,[],[f91])). 2.37/1.12 fof(f179,plain,( 2.37/1.12 ( ! [X0,X1,X5] : (~status(X0,X1,tca) | ~model(X5,X0)) )), 2.37/1.12 inference(cnf_transformation,[],[f99])). 2.37/1.12 fof(f216,plain,( 2.37/1.12 ( ! [X0,X1] : (isa(X0,X1) | status(sK55(X0,X1),sK56(X0,X1),X0)) )), 2.37/1.12 inference(cnf_transformation,[],[f124])). 2.37/1.12 fof(f217,plain,( 2.37/1.12 ( ! [X0,X1] : (~status(sK55(X0,X1),sK56(X0,X1),X1) | isa(X0,X1)) )), 2.37/1.12 inference(cnf_transformation,[],[f124])). 2.37/1.12 fof(f221,plain,( 2.37/1.12 ~isa(tca,thm)), 2.37/1.12 inference(cnf_transformation,[],[f35])). 2.37/1.12 fof(f233,plain,( 2.37/1.12 status(sK55(tca,thm),sK56(tca,thm),tca)), 2.37/1.12 inference(resolution,[],[f216,f221])). 2.37/1.12 fof(f235,plain,( 2.37/1.12 ( ! [X0] : (~model(X0,sK55(tca,thm))) )), 2.37/1.12 inference(resolution,[],[f233,f179])). 2.37/1.12 fof(f238,plain,( 2.37/1.12 ( ! [X0] : (status(sK55(tca,thm),X0,thm)) )), 2.37/1.12 inference(resolution,[],[f235,f173])). 2.37/1.12 fof(f240,plain,( 2.37/1.12 isa(tca,thm)), 2.37/1.12 inference(resolution,[],[f238,f217])). 2.37/1.12 fof(f242,plain,( 2.37/1.12 $false), 2.37/1.12 inference(forward_subsumption_resolution,[],[f240,f221])). 2.37/1.12 % SZS output end Proof for theBenchmark 2.37/1.12 % (2861931)------------------------------ 2.37/1.12 % (2861931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 2.37/1.12 % (2861931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.37/1.12 % (2861931)CaDiCaL version: 2.1.3 2.37/1.12 % (2861931)Termination reason: Refutation 2.37/1.12 % (2861931)Time elapsed: 0.002 s 2.37/1.12 % (2861931)Peak memory usage: 89 MB 2.37/1.12 % (2861931)Instructions burned: 4 (million) 2.37/1.12 % (2861931)------------------------------ 2.37/1.12 % (2861931)------------------------------ 2.37/1.12 % (2861921)Success in time 0.3 s 2.37/1.12 % Vampire exiting 2.37/1.12 EOF