0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : run_vampire %s %d THM 0.12/0.32 % Computer : n016.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 1920 0.12/0.32 % WCLimit : 240 0.12/0.32 % DateTime : Wed Jul 30 02:01:49 EDT 2025 0.12/0.33 % CPUTime : 0.18/0.35 This is a FOF_ problem 0.18/0.35 Running first-order theorem proving 0.18/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 240 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.20/0.43 % (27059)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (27062)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=983297765:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_2399 on theBenchmark for (2399ds/261632Mi) 0.20/0.43 % (27059)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (27064)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=2380104623:st=5:i=107:sd=1:ss=included:er=filter_2399 on theBenchmark for (2399ds/107Mi) 0.20/0.43 % (27059)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (27063)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=3792127867:s2a=on:i=272356:sd=1:bd=all:ss=included_2399 on theBenchmark for (2399ds/272356Mi) 0.20/0.43 % (27059)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (27065)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=1988356480:i=114:bd=all:ss=axioms:sgt=4_2399 on theBenchmark for (2399ds/114Mi) 0.20/0.43 % (27059)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (27067)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=2142933911:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_2399 on theBenchmark for (2399ds/121Mi) 0.20/0.43 % (27059)Running in auto input_syntax mode. Trying TPTP 0.20/0.43 % (27066)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=4177163651:i=132:kws=arity:er=filter_2399 on theBenchmark for (2399ds/132Mi) 0.20/0.44 % (27063)First to succeed. 0.20/0.44 % (27063)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27059" 0.20/0.44 % (27059)Running in auto input_syntax mode. Trying TPTP 0.20/0.44 % (27063)Refutation found. Thanks to Tanya! 0.20/0.44 % SZS status Theorem for theBenchmark 0.20/0.44 % SZS output start Proof for theBenchmark 0.20/0.44 fof(f265,plain,( 0.20/0.44 $false), 0.20/0.44 inference(unit_resulting_resolution,[],[f61,f251,f73])). 0.20/0.44 fof(f73,plain,( 0.20/0.44 ( ! [X1] : (id(X1,sK8) | ~r1(X1)) )), 0.20/0.44 inference(cnf_transformation,[],[f46])). 0.20/0.44 fof(f46,plain,( 0.20/0.44 ! [X1] : ((id(X1,sK8) & r1(X1)) | (~r1(X1) & ~id(X1,sK8)))), 0.20/0.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f28,f45])). 0.20/0.44 fof(f45,plain,( 0.20/0.44 ? [X0] : ! [X1] : ((id(X1,X0) & r1(X1)) | (~r1(X1) & ~id(X1,X0))) => ! [X1] : ((id(X1,sK8) & r1(X1)) | (~r1(X1) & ~id(X1,sK8)))), 0.20/0.44 introduced(definition,[],[choice_axiom])). 0.20/0.44 fof(f28,plain,( 0.20/0.44 ? [X0] : ! [X1] : ((id(X1,X0) & r1(X1)) | (~r1(X1) & ~id(X1,X0)))), 0.20/0.44 inference(rectify,[],[f17])). 0.20/0.44 fof(f17,axiom,( 0.20/0.44 ? [X61] : ! [X62] : ((id(X62,X61) & r1(X62)) | (~r1(X62) & ~id(X62,X61)))), 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.20/0.44 fof(f251,plain,( 0.20/0.44 ( ! [X0] : (~id(sK5(X0),X0)) )), 0.20/0.44 inference(unit_resulting_resolution,[],[f52,f90,f52,f60,f67])). 0.20/0.44 fof(f67,plain,( 0.20/0.44 ( ! [X2,X3,X0,X1,X4,X5] : (~r4(X3,X4,X5) | ~id(X2,X5) | ~id(X0,X3) | r4(X0,X1,X2) | ~id(X1,X4)) )), 0.20/0.44 inference(cnf_transformation,[],[f1])). 0.20/0.44 fof(f1,axiom,( 0.20/0.44 ! [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))), 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.20/0.44 fof(f60,plain,( 0.20/0.44 ( ! [X0] : (r4(X0,sK5(X0),sK4(X0))) )), 0.20/0.44 inference(cnf_transformation,[],[f42])). 0.20/0.44 fof(f42,plain,( 0.20/0.44 ! [X0] : ((r1(sK5(X0)) & r4(X0,sK5(X0),sK4(X0))) & (r1(sK6(X0)) & id(sK4(X0),sK6(X0))))), 0.20/0.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f26,f41,f40,f39])). 0.20/0.44 fof(f39,plain,( 0.20/0.44 ! [X0] : (? [X1] : (? [X2] : (r1(X2) & r4(X0,X2,X1)) & ? [X3] : (r1(X3) & id(X1,X3))) => (? [X2] : (r1(X2) & r4(X0,X2,sK4(X0))) & ? [X3] : (r1(X3) & id(sK4(X0),X3))))), 0.20/0.44 introduced(definition,[],[choice_axiom])). 0.20/0.44 fof(f40,plain,( 0.20/0.44 ! [X0] : (? [X2] : (r1(X2) & r4(X0,X2,sK4(X0))) => (r1(sK5(X0)) & r4(X0,sK5(X0),sK4(X0))))), 0.20/0.44 introduced(definition,[],[choice_axiom])). 0.20/0.44 fof(f41,plain,( 0.20/0.44 ! [X0] : (? [X3] : (r1(X3) & id(sK4(X0),X3)) => (r1(sK6(X0)) & id(sK4(X0),sK6(X0))))), 0.20/0.44 introduced(definition,[],[choice_axiom])). 0.20/0.44 fof(f26,plain,( 0.20/0.44 ! [X0] : ? [X1] : (? [X2] : (r1(X2) & r4(X0,X2,X1)) & ? [X3] : (r1(X3) & id(X1,X3)))), 0.20/0.44 inference(rectify,[],[f12])). 0.20/0.44 fof(f12,axiom,( 0.20/0.44 ! [X40] : ? [X41] : (? [X43] : (r1(X43) & r4(X40,X43,X41)) & ? [X42] : (r1(X42) & id(X41,X42)))), 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.20/0.44 fof(f90,plain,( 0.20/0.44 ( ! [X0,X1] : (~r4(sK5(X0),sK5(X0),sK4(X1))) )), 0.20/0.44 inference(unit_resulting_resolution,[],[f61,f59,f58,f50])). 0.20/0.44 fof(f50,plain,( 0.20/0.44 ( ! [X2,X0,X1] : (~r4(X1,X1,X0) | ~r1(X1) | ~r1(X2) | ~id(X0,X2)) )), 0.20/0.44 inference(cnf_transformation,[],[f33])). 0.20/0.44 fof(f33,plain,( 0.20/0.44 ! [X0] : (! [X1] : (~r1(X1) | ~r4(X1,X1,X0)) | ! [X2] : (~r1(X2) | ~id(X0,X2)))), 0.20/0.44 inference(ennf_transformation,[],[f21])). 0.20/0.44 fof(f21,plain,( 0.20/0.44 ~? [X0] : (? [X1] : (r1(X1) & r4(X1,X1,X0)) & ? [X2] : (r1(X2) & id(X0,X2)))), 0.20/0.44 inference(rectify,[],[f20])). 0.20/0.44 fof(f20,negated_conjecture,( 0.20/0.44 ~? [X29] : (? [X57] : (r1(X57) & r4(X57,X57,X29)) & ? [X59] : (r1(X59) & id(X29,X59)))), 0.20/0.44 inference(negated_conjecture,[status(cth)],[f19])). 0.20/0.44 fof(f19,conjecture,( 0.20/0.44 ? [X29] : (? [X57] : (r1(X57) & r4(X57,X57,X29)) & ? [X59] : (r1(X59) & id(X29,X59)))), 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.20/0.44 fof(f58,plain,( 0.20/0.44 ( ! [X0] : (id(sK4(X0),sK6(X0))) )), 0.20/0.44 inference(cnf_transformation,[],[f42])). 0.20/0.44 fof(f59,plain,( 0.20/0.44 ( ! [X0] : (r1(sK6(X0))) )), 0.20/0.44 inference(cnf_transformation,[],[f42])). 0.20/0.44 fof(f52,plain,( 0.20/0.44 ( ! [X0] : (id(X0,X0)) )), 0.20/0.44 inference(cnf_transformation,[],[f23])). 0.20/0.44 fof(f23,plain,( 0.20/0.44 ! [X0] : id(X0,X0)), 0.20/0.44 inference(rectify,[],[f7])). 0.20/0.44 fof(f7,axiom,( 0.20/0.44 ! [X23] : id(X23,X23)), 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.20/0.44 fof(f61,plain,( 0.20/0.44 ( ! [X0] : (r1(sK5(X0))) )), 0.20/0.44 inference(cnf_transformation,[],[f42])). 0.20/0.44 % SZS output end Proof for theBenchmark 0.20/0.44 % (27063)------------------------------ 0.20/0.44 % (27063)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.20/0.44 % (27063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.20/0.44 % (27063)Termination reason: Refutation 0.20/0.44 0.20/0.44 % (27063)Time elapsed: 0.006 s 0.20/0.44 % (27063)Peak memory usage: 8 MB 0.20/0.44 % (27063)Instructions burned: 8 (million) 0.20/0.44 % (27063)------------------------------ 0.20/0.44 % (27063)------------------------------ 0.20/0.44 % (27059)Success in time 0.086 s 0.20/0.44 EOF