0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : run_vampire %s %d THM 0.12/0.31 % Computer : n028.cluster.edu 0.12/0.31 % Model : x86_64 x86_64 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.31 % Memory : 8042.1875MB 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.31 % CPULimit : 1920 0.12/0.31 % WCLimit : 240 0.12/0.31 % DateTime : Wed Jul 30 02:01:49 EDT 2025 0.12/0.32 % CPUTime : 0.12/0.33 This is a FOF_ problem 0.12/0.34 Running first-order theorem proving 0.12/0.34 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 240 /export/starexec/sandbox/benchmark/theBenchmark.p 0.19/0.39 % (25520)Running in auto input_syntax mode. Trying TPTP 0.19/0.39 % (25527)lrs+1011_4:1_sil=256000:rp=on:newcnf=on:i=257909:aac=none:gsp=on_0 on theBenchmark for (2399ds/257909Mi) 0.19/0.39 % (25520)Running in auto input_syntax mode. Trying TPTP 0.19/0.39 % (25529)lrs+21_8:1_to=lpo:sil=2000:sp=frequency:spb=units:s2a=on:s2pl=no:i=103:sd=2:ss=included:fsr=off:fs=off_0 on theBenchmark for (2399ds/103Mi) 0.19/0.40 % (25520)Running in auto input_syntax mode. Trying TPTP 0.19/0.40 % (25528)dis+1002_1:1_tgt=full:sos=on:rp=on:sac=on:i=258102:ss=axioms:sd=3:cond=fast:add=off:abs=on:fde=none:sil=256000_0 on theBenchmark for (2399ds/258102Mi) 0.19/0.40 % (25520)Running in auto input_syntax mode. Trying TPTP 0.19/0.40 % (25526)lrs+21_1:32_anc=all:to=lpo:sil=256000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:plsql=on:sac=on:newcnf=on:i=222662:add=off:fsr=off:rawr=on_0 on theBenchmark for (2399ds/222662Mi) 0.19/0.41 % (25526)Refutation not found, incomplete strategy% (25526)------------------------------ 0.19/0.41 % (25526)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.19/0.41 % (25526)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.19/0.41 % (25526)Termination reason: Refutation not found, incomplete strategy 0.19/0.41 0.19/0.41 % (25526)Memory used [KB]: 1239 0.19/0.41 % (25526)Time elapsed: 0.006 s 0.19/0.41 % (25526)Instructions burned: 7 (million) 0.19/0.41 % (25526)------------------------------ 0.19/0.41 % (25526)------------------------------ 0.19/0.41 % (25528)First to succeed. 0.19/0.41 % (25528)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25520" 0.19/0.42 % (25520)Running in auto input_syntax mode. Trying TPTP 0.19/0.42 % (25528)Refutation found. Thanks to Tanya! 0.19/0.42 % SZS status Theorem for theBenchmark 0.19/0.42 % SZS output start Proof for theBenchmark 0.19/0.42 fof(f327,plain,( 0.19/0.42 $false), 0.19/0.42 inference(subsumption_resolution,[],[f317,f86])). 0.19/0.42 fof(f86,plain,( 0.19/0.42 ( ! [X0] : (r1(sK7(X0))) )), 0.19/0.42 inference(cnf_transformation,[],[f50])). 0.19/0.42 fof(f50,plain,( 0.19/0.42 ! [X0] : ((r1(sK6(X0)) & r4(X0,sK6(X0),sK5(X0))) & (r1(sK7(X0)) & id(sK5(X0),sK7(X0))))), 0.19/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f27,f49,f48,f47])). 0.19/0.42 fof(f47,plain,( 0.19/0.42 ! [X0] : (? [X1] : (? [X2] : (r1(X2) & r4(X0,X2,X1)) & ? [X3] : (r1(X3) & id(X1,X3))) => (? [X2] : (r1(X2) & r4(X0,X2,sK5(X0))) & ? [X3] : (r1(X3) & id(sK5(X0),X3))))), 0.19/0.42 introduced(choice_axiom,[])). 0.19/0.42 fof(f48,plain,( 0.19/0.42 ! [X0] : (? [X2] : (r1(X2) & r4(X0,X2,sK5(X0))) => (r1(sK6(X0)) & r4(X0,sK6(X0),sK5(X0))))), 0.19/0.42 introduced(choice_axiom,[])). 0.19/0.42 fof(f49,plain,( 0.19/0.42 ! [X0] : (? [X3] : (r1(X3) & id(sK5(X0),X3)) => (r1(sK7(X0)) & id(sK5(X0),sK7(X0))))), 0.19/0.42 introduced(choice_axiom,[])). 0.19/0.42 fof(f27,plain,( 0.19/0.42 ! [X0] : ? [X1] : (? [X2] : (r1(X2) & r4(X0,X2,X1)) & ? [X3] : (r1(X3) & id(X1,X3)))), 0.19/0.42 inference(rectify,[],[f12])). 0.19/0.42 fof(f12,axiom,( 0.19/0.42 ! [X40] : ? [X41] : (? [X43] : (r1(X43) & r4(X40,X43,X41)) & ? [X42] : (r1(X42) & id(X41,X42)))), 0.19/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.19/0.42 fof(f317,plain,( 0.19/0.42 ~r1(sK7(sK8))), 0.19/0.42 inference(resolution,[],[f303,f85])). 0.19/0.42 fof(f85,plain,( 0.19/0.42 ( ! [X0] : (id(sK5(X0),sK7(X0))) )), 0.19/0.42 inference(cnf_transformation,[],[f50])). 0.19/0.42 fof(f303,plain,( 0.19/0.42 ( ! [X0] : (~id(sK5(sK8),X0) | ~r1(X0)) )), 0.19/0.42 inference(resolution,[],[f302,f71])). 0.19/0.42 fof(f71,plain,( 0.19/0.42 ( ! [X0] : (id(X0,X0)) )), 0.19/0.42 inference(cnf_transformation,[],[f24])). 0.19/0.42 fof(f24,plain,( 0.19/0.42 ! [X0] : id(X0,X0)), 0.19/0.42 inference(rectify,[],[f7])). 0.19/0.42 fof(f7,axiom,( 0.19/0.42 ! [X23] : id(X23,X23)), 0.19/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.19/0.42 fof(f302,plain,( 0.19/0.42 ( ! [X0,X1] : (~id(X0,sK5(sK8)) | ~id(X0,X1) | ~r1(X1)) )), 0.19/0.42 inference(subsumption_resolution,[],[f299,f88])). 0.19/0.42 fof(f88,plain,( 0.19/0.42 ( ! [X0] : (r1(sK6(X0))) )), 0.19/0.42 inference(cnf_transformation,[],[f50])). 0.19/0.42 fof(f299,plain,( 0.19/0.42 ( ! [X0,X1] : (~id(X0,sK5(sK8)) | ~id(X0,X1) | ~r1(X1) | ~r1(sK6(sK8))) )), 0.19/0.42 inference(resolution,[],[f202,f92])). 0.19/0.42 fof(f92,plain,( 0.19/0.42 ( ! [X1] : (id(X1,sK8) | ~r1(X1)) )), 0.19/0.42 inference(cnf_transformation,[],[f52])). 0.19/0.42 fof(f52,plain,( 0.19/0.42 ! [X1] : ((id(X1,sK8) & r1(X1)) | (~r1(X1) & ~id(X1,sK8)))), 0.19/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f28,f51])). 0.19/0.42 fof(f51,plain,( 0.19/0.42 ? [X0] : ! [X1] : ((id(X1,X0) & r1(X1)) | (~r1(X1) & ~id(X1,X0))) => ! [X1] : ((id(X1,sK8) & r1(X1)) | (~r1(X1) & ~id(X1,sK8)))), 0.19/0.42 introduced(choice_axiom,[])). 0.19/0.42 fof(f28,plain,( 0.19/0.42 ? [X0] : ! [X1] : ((id(X1,X0) & r1(X1)) | (~r1(X1) & ~id(X1,X0)))), 0.19/0.42 inference(rectify,[],[f17])). 0.19/0.42 fof(f17,axiom,( 0.19/0.42 ? [X61] : ! [X62] : ((id(X62,X61) & r1(X62)) | (~r1(X62) & ~id(X62,X61)))), 0.19/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.19/0.42 fof(f202,plain,( 0.19/0.42 ( ! [X2,X0,X1] : (~id(sK6(X2),X2) | ~id(X0,sK5(X2)) | ~id(X0,X1) | ~r1(X1)) )), 0.19/0.42 inference(subsumption_resolution,[],[f198,f88])). 0.19/0.42 fof(f198,plain,( 0.19/0.42 ( ! [X2,X0,X1] : (~id(X0,X1) | ~id(X0,sK5(X2)) | ~r1(sK6(X2)) | ~id(sK6(X2),X2) | ~r1(X1)) )), 0.19/0.42 inference(resolution,[],[f144,f71])). 0.19/0.42 fof(f144,plain,( 0.19/0.42 ( ! [X2,X3,X0,X1] : (~id(X3,sK6(X2)) | ~id(X1,X0) | ~id(X1,sK5(X2)) | ~r1(X3) | ~id(X3,X2) | ~r1(X0)) )), 0.19/0.42 inference(resolution,[],[f127,f87])). 0.19/0.42 fof(f87,plain,( 0.19/0.42 ( ! [X0] : (r4(X0,sK6(X0),sK5(X0))) )), 0.19/0.42 inference(cnf_transformation,[],[f50])). 0.19/0.42 fof(f127,plain,( 0.19/0.42 ( ! [X2,X3,X0,X1,X4,X5] : (~r4(X4,X5,X3) | ~r1(X1) | ~id(X2,X1) | ~id(X2,X3) | ~r1(X0) | ~id(X0,X4) | ~id(X0,X5)) )), 0.19/0.42 inference(resolution,[],[f68,f73])). 0.19/0.42 fof(f73,plain,( 0.19/0.42 ( ! [X2,X3,X0,X1,X4,X5] : (r4(X0,X1,X2) | ~id(X2,X5) | ~r4(X3,X4,X5) | ~id(X0,X3) | ~id(X1,X4)) )), 0.19/0.42 inference(cnf_transformation,[],[f1])). 0.19/0.42 fof(f1,axiom,( 0.19/0.42 ! [X0,X1,X2,X3,X4,X5] : (~id(X0,X3) | ~id(X2,X5) | (~r4(X0,X1,X2) & ~r4(X3,X4,X5)) | (r4(X0,X1,X2) & r4(X3,X4,X5)) | ~id(X1,X4))), 0.19/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.19/0.42 fof(f68,plain,( 0.19/0.42 ( ! [X2,X0,X1] : (~r4(X1,X1,X0) | ~r1(X1) | ~r1(X2) | ~id(X0,X2)) )), 0.19/0.42 inference(cnf_transformation,[],[f39])). 0.19/0.42 fof(f39,plain,( 0.19/0.42 ! [X0] : (! [X1] : (~r1(X1) | ~r4(X1,X1,X0)) | ! [X2] : (~r1(X2) | ~id(X0,X2)))), 0.19/0.42 inference(ennf_transformation,[],[f21])). 0.19/0.42 fof(f21,plain,( 0.19/0.42 ~? [X0] : (? [X1] : (r1(X1) & r4(X1,X1,X0)) & ? [X2] : (r1(X2) & id(X0,X2)))), 0.19/0.42 inference(rectify,[],[f20])). 0.19/0.42 fof(f20,negated_conjecture,( 0.19/0.42 ~? [X29] : (? [X57] : (r1(X57) & r4(X57,X57,X29)) & ? [X59] : (r1(X59) & id(X29,X59)))), 0.19/0.42 inference(negated_conjecture,[],[f19])). 0.19/0.42 fof(f19,conjecture,( 0.19/0.42 ? [X29] : (? [X57] : (r1(X57) & r4(X57,X57,X29)) & ? [X59] : (r1(X59) & id(X29,X59)))), 0.19/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)). 0.19/0.42 % SZS output end Proof for theBenchmark 0.19/0.42 % (25528)------------------------------ 0.19/0.42 % (25528)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.19/0.42 % (25528)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.19/0.42 % (25528)Termination reason: Refutation 0.19/0.42 0.19/0.42 % (25528)Memory used [KB]: 1260 0.19/0.42 % (25528)Time elapsed: 0.015 s 0.19/0.42 % (25528)Instructions burned: 28 (million) 0.19/0.42 % (25528)------------------------------ 0.19/0.42 % (25528)------------------------------ 0.19/0.42 % (25520)Success in time 0.074 s 0.19/0.42 EOF