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 : n026.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 02:03:34 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 0.18/0.42 % (5074)Running in auto input_syntax mode. Trying TPTP 0.18/0.42 % (5078)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2399ds/103Mi) 0.18/0.42 % (5074)Running in auto input_syntax mode. Trying TPTP 0.18/0.42 % (5079)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2399ds/121Mi) 0.18/0.42 % (5074)Running in auto input_syntax mode. Trying TPTP 0.18/0.42 % (5077)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2399ds/172350Mi) 0.18/0.42 % (5074)Running in auto input_syntax mode. Trying TPTP 0.18/0.42 % (5076)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2399ds/124987Mi) 0.18/0.42 % (5074)Running in auto input_syntax mode. Trying TPTP 0.18/0.42 % (5081)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2399ds/128Mi) 0.18/0.42 % (5074)Running in auto input_syntax mode. Trying TPTP 0.18/0.42 % (5075)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2399ds/38749Mi) 0.18/0.42 % (5074)Running in auto input_syntax mode. Trying TPTP 0.18/0.42 % (5080)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2399ds/113Mi) 0.18/0.42 % (5078)Refutation not found, incomplete strategy% (5078)------------------------------ 0.18/0.42 % (5078)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.18/0.42 % (5078)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.18/0.42 % (5078)Termination reason: Refutation not found, incomplete strategy 0.18/0.42 0.18/0.42 % (5078)Memory used [KB]: 1160 0.18/0.42 % (5078)Time elapsed: 0.004 s 0.18/0.42 % (5078)Instructions burned: 3 (million) 0.18/0.42 % (5078)------------------------------ 0.18/0.42 % (5078)------------------------------ 0.21/0.42 % (5080)Refutation not found, incomplete strategy% (5080)------------------------------ 0.21/0.42 % (5080)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.42 % (5080)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.42 % (5080)Termination reason: Refutation not found, incomplete strategy 0.21/0.42 0.21/0.42 % (5080)Memory used [KB]: 1298 0.21/0.42 % (5080)Time elapsed: 0.008 s 0.21/0.42 % (5080)Instructions burned: 11 (million) 0.21/0.42 % (5080)------------------------------ 0.21/0.42 % (5080)------------------------------ 0.21/0.44 % (5077)First to succeed. 0.21/0.44 % (5077)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5074" 0.21/0.44 % (5074)Running in auto input_syntax mode. Trying TPTP 0.21/0.44 % (5077)Refutation found. Thanks to Tanya! 0.21/0.44 % SZS status Theorem for theBenchmark 0.21/0.44 % SZS output start Proof for theBenchmark 0.21/0.44 fof(f715,plain,( 0.21/0.44 $false), 0.21/0.44 inference(subsumption_resolution,[],[f714,f432])). 0.21/0.44 fof(f432,plain,( 0.21/0.44 sP7(pull,backwards,n0)), 0.21/0.44 inference(resolution,[],[f247,f413])). 0.21/0.44 fof(f413,plain,( 0.21/0.44 sP2(backwards,n0,pull)), 0.21/0.44 inference(resolution,[],[f310,f388])). 0.21/0.44 fof(f388,plain,( 0.21/0.44 happens(push,n0)), 0.21/0.44 inference(resolution,[],[f236,f382])). 0.21/0.44 fof(f382,plain,( 0.21/0.44 sP1(push,n0)), 0.21/0.44 inference(resolution,[],[f229,f298])). 0.21/0.44 fof(f298,plain,( 0.21/0.44 sP0(n0,push)), 0.21/0.44 inference(equality_resolution,[],[f297])). 0.21/0.44 fof(f297,plain,( 0.21/0.44 ( ! [X1] : (sP0(n0,X1) | push != X1) )), 0.21/0.44 inference(equality_resolution,[],[f235])). 0.21/0.44 fof(f235,plain,( 0.21/0.44 ( ! [X0,X1] : (sP0(X0,X1) | n0 != X0 | push != X1) )), 0.21/0.44 inference(cnf_transformation,[],[f141])). 0.21/0.44 fof(f141,plain,( 0.21/0.44 ! [X0,X1] : ((sP0(X0,X1) | n0 != X0 | push != X1) & ((n0 = X0 & push = X1) | ~sP0(X0,X1)))), 0.21/0.44 inference(rectify,[],[f140])). 0.21/0.44 fof(f140,plain,( 0.21/0.44 ! [X1,X0] : ((sP0(X1,X0) | n0 != X1 | push != X0) & ((n0 = X1 & push = X0) | ~sP0(X1,X0)))), 0.21/0.44 inference(flattening,[],[f139])). 0.21/0.44 fof(f139,plain,( 0.21/0.44 ! [X1,X0] : ((sP0(X1,X0) | (n0 != X1 | push != X0)) & ((n0 = X1 & push = X0) | ~sP0(X1,X0)))), 0.21/0.44 inference(nnf_transformation,[],[f103])). 0.21/0.44 fof(f103,plain,( 0.21/0.44 ! [X1,X0] : (sP0(X1,X0) <=> (n0 = X1 & push = X0))), 0.21/0.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])). 0.21/0.44 fof(f229,plain,( 0.21/0.44 ( ! [X0,X1] : (~sP0(X1,X0) | sP1(X0,X1)) )), 0.21/0.44 inference(cnf_transformation,[],[f138])). 0.21/0.44 fof(f138,plain,( 0.21/0.44 ! [X0,X1] : ((sP1(X0,X1) | ((pull != X0 | n1 != X1) & (n2 != X1 | push != X0) & (n2 != X1 | pull != X0) & ~sP0(X1,X0))) & ((pull = X0 & n1 = X1) | (n2 = X1 & push = X0) | (n2 = X1 & pull = X0) | sP0(X1,X0) | ~sP1(X0,X1)))), 0.21/0.44 inference(flattening,[],[f137])). 0.21/0.44 fof(f137,plain,( 0.21/0.44 ! [X0,X1] : ((sP1(X0,X1) | ((pull != X0 | n1 != X1) & (n2 != X1 | push != X0) & (n2 != X1 | pull != X0) & ~sP0(X1,X0))) & (((pull = X0 & n1 = X1) | (n2 = X1 & push = X0) | (n2 = X1 & pull = X0) | sP0(X1,X0)) | ~sP1(X0,X1)))), 0.21/0.44 inference(nnf_transformation,[],[f104])). 0.21/0.44 fof(f104,plain,( 0.21/0.44 ! [X0,X1] : (sP1(X0,X1) <=> ((pull = X0 & n1 = X1) | (n2 = X1 & push = X0) | (n2 = X1 & pull = X0) | sP0(X1,X0)))), 0.21/0.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])). 0.21/0.44 fof(f236,plain,( 0.21/0.44 ( ! [X0,X1] : (~sP1(X0,X1) | happens(X0,X1)) )), 0.21/0.44 inference(cnf_transformation,[],[f142])). 0.21/0.44 fof(f142,plain,( 0.21/0.44 ! [X0,X1] : ((sP1(X0,X1) | ~happens(X0,X1)) & (happens(X0,X1) | ~sP1(X0,X1)))), 0.21/0.44 inference(nnf_transformation,[],[f105])). 0.21/0.44 fof(f105,plain,( 0.21/0.44 ! [X0,X1] : (sP1(X0,X1) <=> happens(X0,X1))), 0.21/0.44 inference(definition_folding,[],[f69,f104,f103])). 0.21/0.44 fof(f69,plain,( 0.21/0.44 ! [X0,X1] : (((pull = X0 & n1 = X1) | (n2 = X1 & push = X0) | (n2 = X1 & pull = X0) | (n0 = X1 & push = X0)) <=> happens(X0,X1))), 0.21/0.44 inference(rectify,[],[f17])). 0.21/0.44 fof(f17,axiom,( 0.21/0.44 ! [X0,X5] : (((pull = X0 & n1 = X5) | (n2 = X5 & push = X0) | (n2 = X5 & pull = X0) | (n0 = X5 & push = X0)) <=> happens(X0,X5))), 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.44 fof(f310,plain,( 0.21/0.44 ( ! [X1] : (~happens(push,X1) | sP2(backwards,X1,pull)) )), 0.21/0.44 inference(equality_resolution,[],[f309])). 0.21/0.44 fof(f309,plain,( 0.21/0.44 ( ! [X2,X1] : (sP2(backwards,X1,X2) | ~happens(push,X1) | pull != X2) )), 0.21/0.44 inference(equality_resolution,[],[f272])). 0.21/0.44 fof(f272,plain,( 0.21/0.44 ( ! [X2,X0,X1] : (sP2(X0,X1,X2) | backwards != X0 | ~happens(push,X1) | pull != X2) )), 0.21/0.44 inference(cnf_transformation,[],[f158])). 0.21/0.44 fof(f158,plain,( 0.21/0.44 ! [X0,X1,X2] : ((sP2(X0,X1,X2) | backwards != X0 | ~happens(push,X1) | pull != X2) & ((backwards = X0 & happens(push,X1) & pull = X2) | ~sP2(X0,X1,X2)))), 0.21/0.44 inference(rectify,[],[f157])). 0.21/0.44 fof(f157,plain,( 0.21/0.44 ! [X1,X2,X0] : ((sP2(X1,X2,X0) | backwards != X1 | ~happens(push,X2) | pull != X0) & ((backwards = X1 & happens(push,X2) & pull = X0) | ~sP2(X1,X2,X0)))), 0.21/0.44 inference(flattening,[],[f156])). 0.21/0.44 fof(f156,plain,( 0.21/0.44 ! [X1,X2,X0] : ((sP2(X1,X2,X0) | (backwards != X1 | ~happens(push,X2) | pull != X0)) & ((backwards = X1 & happens(push,X2) & pull = X0) | ~sP2(X1,X2,X0)))), 0.21/0.44 inference(nnf_transformation,[],[f106])). 0.21/0.44 fof(f106,plain,( 0.21/0.44 ! [X1,X2,X0] : (sP2(X1,X2,X0) <=> (backwards = X1 & happens(push,X2) & pull = X0))), 0.21/0.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])). 0.21/0.44 fof(f247,plain,( 0.21/0.44 ( ! [X2,X0,X1] : (~sP2(X1,X2,X0) | sP7(X0,X1,X2)) )), 0.21/0.44 inference(cnf_transformation,[],[f144])). 0.21/0.44 fof(f144,plain,( 0.21/0.44 ! [X0,X1,X2] : ((sP7(X0,X1,X2) | ((push != X0 | backwards != X1 | happens(pull,X2)) & ~sP6(X0,X1,X2) & ~sP5(X2,X1,X0) & ~sP4(X2,X1,X0) & ~sP3(X0,X2,X1) & ~sP2(X1,X2,X0))) & ((push = X0 & backwards = X1 & ~happens(pull,X2)) | sP6(X0,X1,X2) | sP5(X2,X1,X0) | sP4(X2,X1,X0) | sP3(X0,X2,X1) | sP2(X1,X2,X0) | ~sP7(X0,X1,X2)))), 0.21/0.44 inference(flattening,[],[f143])). 0.21/0.44 fof(f143,plain,( 0.21/0.44 ! [X0,X1,X2] : ((sP7(X0,X1,X2) | ((push != X0 | backwards != X1 | happens(pull,X2)) & ~sP6(X0,X1,X2) & ~sP5(X2,X1,X0) & ~sP4(X2,X1,X0) & ~sP3(X0,X2,X1) & ~sP2(X1,X2,X0))) & (((push = X0 & backwards = X1 & ~happens(pull,X2)) | sP6(X0,X1,X2) | sP5(X2,X1,X0) | sP4(X2,X1,X0) | sP3(X0,X2,X1) | sP2(X1,X2,X0)) | ~sP7(X0,X1,X2)))), 0.21/0.44 inference(nnf_transformation,[],[f111])). 0.21/0.44 fof(f111,plain,( 0.21/0.44 ! [X0,X1,X2] : (sP7(X0,X1,X2) <=> ((push = X0 & backwards = X1 & ~happens(pull,X2)) | sP6(X0,X1,X2) | sP5(X2,X1,X0) | sP4(X2,X1,X0) | sP3(X0,X2,X1) | sP2(X1,X2,X0)))), 0.21/0.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])])). 0.21/0.44 fof(f714,plain,( 0.21/0.44 ~sP7(pull,backwards,n0)), 0.21/0.44 inference(resolution,[],[f710,f168])). 0.21/0.44 fof(f168,plain,( 0.21/0.44 holdsAt(backwards,n1)), 0.21/0.44 inference(cnf_transformation,[],[f50])). 0.21/0.44 fof(f50,plain,( 0.21/0.44 holdsAt(backwards,n1)), 0.21/0.44 inference(flattening,[],[f26])). 0.21/0.44 fof(f26,negated_conjecture,( 0.21/0.44 ~~holdsAt(backwards,n1)), 0.21/0.44 inference(negated_conjecture,[],[f25])). 0.21/0.44 fof(f25,conjecture,( 0.21/0.44 ~holdsAt(backwards,n1)), 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.44 fof(f710,plain,( 0.21/0.44 ( ! [X0] : (~holdsAt(X0,n1) | ~sP7(pull,X0,n0)) )), 0.21/0.44 inference(resolution,[],[f709,f705])). 0.21/0.44 fof(f705,plain,( 0.21/0.44 ( ! [X0,X1] : (~happens(X1,n0) | ~holdsAt(X0,n1) | ~sP7(X1,X0,n0)) )), 0.21/0.44 inference(superposition,[],[f679,f186])). 0.21/0.44 fof(f186,plain,( 0.21/0.44 n1 = plus(n0,n1)), 0.21/0.44 inference(cnf_transformation,[],[f31])). 0.21/0.44 fof(f31,axiom,( 0.21/0.44 n1 = plus(n0,n1)), 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.44 fof(f679,plain,( 0.21/0.44 ( ! [X2,X0,X1] : (~holdsAt(X2,plus(X1,n1)) | ~happens(X0,X1) | ~sP7(X0,X2,X1)) )), 0.21/0.44 inference(resolution,[],[f243,f274])). 0.21/0.44 fof(f274,plain,( 0.21/0.44 ( ! [X2,X0,X1] : (terminates(X0,X1,X2) | ~sP7(X0,X1,X2)) )), 0.21/0.44 inference(cnf_transformation,[],[f159])). 0.21/0.44 fof(f159,plain,( 0.21/0.44 ! [X0,X1,X2] : ((terminates(X0,X1,X2) | ~sP7(X0,X1,X2)) & (sP7(X0,X1,X2) | ~terminates(X0,X1,X2)))), 0.21/0.44 inference(nnf_transformation,[],[f112])). 0.21/0.44 fof(f112,plain,( 0.21/0.44 ! [X0,X1,X2] : (terminates(X0,X1,X2) <=> sP7(X0,X1,X2))), 0.21/0.44 inference(definition_folding,[],[f76,f111,f110,f109,f108,f107,f106])). 0.21/0.44 fof(f107,plain,( 0.21/0.44 ! [X0,X2,X1] : (sP3(X0,X2,X1) <=> (pull = X0 & ~happens(push,X2) & spinning = X1))), 0.21/0.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])])). 0.21/0.44 fof(f108,plain,( 0.21/0.44 ! [X2,X1,X0] : (sP4(X2,X1,X0) <=> (~happens(pull,X2) & spinning = X1 & push = X0))), 0.21/0.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])])). 0.21/0.44 fof(f109,plain,( 0.21/0.44 ! [X2,X1,X0] : (sP5(X2,X1,X0) <=> (happens(push,X2) & forwards = X1 & pull = X0))), 0.21/0.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])). 0.21/0.44 fof(f110,plain,( 0.21/0.44 ! [X0,X1,X2] : (sP6(X0,X1,X2) <=> (pull = X0 & forwards = X1 & ~happens(push,X2)))), 0.21/0.44 introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])])). 0.21/0.44 fof(f76,plain,( 0.21/0.44 ! [X0,X1,X2] : (terminates(X0,X1,X2) <=> ((push = X0 & backwards = X1 & ~happens(pull,X2)) | (pull = X0 & forwards = X1 & ~happens(push,X2)) | (happens(push,X2) & forwards = X1 & pull = X0) | (~happens(pull,X2) & spinning = X1 & push = X0) | (pull = X0 & ~happens(push,X2) & spinning = X1) | (backwards = X1 & happens(push,X2) & pull = X0)))), 0.21/0.44 inference(rectify,[],[f16])). 0.21/0.44 fof(f16,axiom,( 0.21/0.44 ! [X0,X6,X5] : (terminates(X0,X6,X5) <=> ((push = X0 & backwards = X6 & ~happens(pull,X5)) | (pull = X0 & forwards = X6 & ~happens(push,X5)) | (happens(push,X5) & forwards = X6 & pull = X0) | (~happens(pull,X5) & spinning = X6 & push = X0) | (pull = X0 & ~happens(push,X5) & spinning = X6) | (backwards = X6 & happens(push,X5) & pull = X0)))), 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.44 fof(f243,plain,( 0.21/0.44 ( ! [X2,X0,X1] : (~terminates(X0,X2,X1) | ~happens(X0,X1) | ~holdsAt(X2,plus(X1,n1))) )), 0.21/0.44 inference(cnf_transformation,[],[f102])). 0.21/0.44 fof(f102,plain,( 0.21/0.44 ! [X0,X1,X2] : (~holdsAt(X2,plus(X1,n1)) | ~happens(X0,X1) | ~terminates(X0,X2,X1))), 0.21/0.44 inference(flattening,[],[f101])). 0.21/0.44 fof(f101,plain,( 0.21/0.44 ! [X0,X1,X2] : (~holdsAt(X2,plus(X1,n1)) | (~happens(X0,X1) | ~terminates(X0,X2,X1)))), 0.21/0.44 inference(ennf_transformation,[],[f74])). 0.21/0.44 fof(f74,plain,( 0.21/0.44 ! [X0,X1,X2] : ((happens(X0,X1) & terminates(X0,X2,X1)) => ~holdsAt(X2,plus(X1,n1)))), 0.21/0.44 inference(rectify,[],[f2])). 0.21/0.44 fof(f2,axiom,( 0.21/0.44 ! [X0,X5,X6] : ((happens(X0,X5) & terminates(X0,X6,X5)) => ~holdsAt(X6,plus(X5,n1)))), 0.21/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.21/0.44 fof(f709,plain,( 0.21/0.44 happens(pull,n0)), 0.21/0.44 inference(subsumption_resolution,[],[f707,f168])). 0.21/0.44 fof(f707,plain,( 0.21/0.44 ~holdsAt(backwards,n1) | happens(pull,n0)), 0.21/0.44 inference(resolution,[],[f706,f300])). 0.21/0.44 fof(f300,plain,( 0.21/0.44 ( ! [X2] : (sP7(push,backwards,X2) | happens(pull,X2)) )), 0.21/0.44 inference(equality_resolution,[],[f299])). 0.21/0.44 fof(f299,plain,( 0.21/0.44 ( ! [X2,X1] : (sP7(push,X1,X2) | backwards != X1 | happens(pull,X2)) )), 0.21/0.44 inference(equality_resolution,[],[f252])). 0.21/0.44 fof(f252,plain,( 0.21/0.44 ( ! [X2,X0,X1] : (sP7(X0,X1,X2) | push != X0 | backwards != X1 | happens(pull,X2)) )), 0.21/0.44 inference(cnf_transformation,[],[f144])). 0.21/0.44 fof(f706,plain,( 0.21/0.44 ( ! [X0] : (~sP7(push,X0,n0) | ~holdsAt(X0,n1)) )), 0.21/0.44 inference(resolution,[],[f705,f388])). 0.21/0.44 % SZS output end Proof for theBenchmark 0.21/0.44 % (5077)------------------------------ 0.21/0.44 % (5077)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.21/0.44 % (5077)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.21/0.44 % (5077)Termination reason: Refutation 0.21/0.44 0.21/0.44 % (5077)Memory used [KB]: 1487 0.21/0.44 % (5077)Time elapsed: 0.023 s 0.21/0.44 % (5077)Instructions burned: 33 (million) 0.21/0.44 % (5077)------------------------------ 0.21/0.44 % (5077)------------------------------ 0.21/0.44 % (5074)Success in time 0.074 s 0.21/0.44 EOF