0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : run_vampire %s %d 0.13/0.34 Computer : n029.cluster.edu 0.13/0.34 Model : x86_64 x86_64 0.13/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 RAMPerCPU : 8042.1875MB 0.13/0.34 OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:22:24 EDT 2022 0.13/0.34 % CPUTime : 0.13/0.35 This is a FOF_ problem 0.13/0.35 Running vampire --ignore_missing on --mode casc --cores 0 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 Running in auto input_syntax mode. Trying TPTP 0.13/0.38 % (23687)dis+1011_4_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1:sos=all:sp=occurrence:thsq=on_5 on theBenchmark 0.21/0.38 % (23681)dis+11_1_acc=on:afp=1000:afq=1.4:amm=sco:anc=all_dependent:bs=on:ccuc=small_ones:cond=fast:fde=none:gsp=input_only:nm=64:nwc=1:sac=on:urr=ec_only:updr=off:uhcvi=on:thsq=on_105 on theBenchmark 0.21/0.39 % (23682)lrs+11_20_av=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=theory:sp=reverse_arity:uhcvi=on:thsq=on_92 on theBenchmark 0.21/0.40 % (23699)dis+1010_5_add=large:afp=10000:afq=1.2:amm=off:bs=unit_only:bsr=on:bce=on:cond=fast:fsr=off:fde=none:gsp=input_only:gs=on:irw=on:lma=on:nm=4:newcnf=on:nwc=1.3:nicw=on:sos=all:sac=on:updr=off:thsq=on_34 on theBenchmark 0.21/0.40 % (23683)dis+1002_6_add=large:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off:thsq=on_7 on theBenchmark 0.21/0.40 % (23680)dis+10_3_add=large:afp=10000:afq=1.0:amm=sco:anc=none:gsp=input_only:gs=on:gsem=off:lcm=reverse:nwc=1:sos=on:thsq=on_6 on theBenchmark 0.21/0.40 % (23679)dis+10_1_add=off:afp=4000:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on:thsq=on_2 on theBenchmark 0.21/0.40 % (23679)Refutation not found, incomplete strategy% (23679)------------------------------ 0.21/0.40 % (23679)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.21/0.40 % (23679)Termination reason: Refutation not found, incomplete strategy 0.21/0.40 0.21/0.40 % (23679)Memory used [KB]: 10874 0.21/0.40 % (23679)Time elapsed: 0.002 s 0.21/0.40 % (23679)------------------------------ 0.21/0.40 % (23679)------------------------------ 0.21/0.41 % (23702)ott+11_8:1_acc=model:afp=1000:afq=1.0:anc=none:bd=off:bsr=on:cond=on:gs=on:gsem=off:irw=on:lma=on:nm=16:nwc=1.5:sac=on:sp=occurrence:urr=on:thsq=on_104 on theBenchmark 0.21/0.41 % (23680)Refutation not found, incomplete strategy% (23680)------------------------------ 0.21/0.41 % (23680)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.21/0.41 % (23680)Termination reason: Refutation not found, incomplete strategy 0.21/0.41 0.21/0.41 % (23680)Memory used [KB]: 11001 0.21/0.41 % (23680)Time elapsed: 0.039 s 0.21/0.41 % (23680)------------------------------ 0.21/0.41 % (23680)------------------------------ 0.21/0.41 % (23685)lrs+1011_8_add=large:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on:thsq=on_3 on theBenchmark 0.21/0.41 % (23700)dis+11_1024_av=off:bd=off:bs=on:cond=on:gs=on:lma=on:nm=16:nwc=1:sp=occurrence:updr=off:thsq=on_98 on theBenchmark 0.21/0.41 % (23685)Refutation not found, incomplete strategy% (23685)------------------------------ 0.21/0.41 % (23685)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.21/0.41 % (23685)Termination reason: Refutation not found, incomplete strategy 0.21/0.41 0.21/0.41 % (23685)Memory used [KB]: 10874 0.21/0.41 % (23685)Time elapsed: 0.003 s 0.21/0.41 % (23685)------------------------------ 0.21/0.41 % (23685)------------------------------ 0.21/0.41 % (23694)lrs-2_6_acc=on:afp=40000:afq=1.2:amm=sco:anc=none:bs=on:bsr=on:cond=on:fsr=off:fde=none:lcm=reverse:lma=on:nm=32:newcnf=on:nwc=2.5:nicw=on:stl=30:sp=reverse_arity:urr=ec_only:thsq=on_162 on theBenchmark 0.21/0.41 % (23684)lrs+1_4:1_awrs=converge:awrsf=128:av=off:cond=fast:fde=none:gsp=input_only:gs=on:gsem=on:lcm=predicate:lwlo=on:nm=4:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:s2a=on:st=2.0:sos=on:thsq=on_27 on theBenchmark 0.21/0.41 % (23684)Refutation not found, incomplete strategy% (23684)------------------------------ 0.21/0.41 % (23684)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.21/0.41 % (23684)Termination reason: Refutation not found, incomplete strategy 0.21/0.41 0.21/0.41 % (23684)Memory used [KB]: 6396 0.21/0.41 % (23684)Time elapsed: 0.003 s 0.21/0.41 % (23684)------------------------------ 0.21/0.41 % (23684)------------------------------ 0.21/0.41 % (23701)lrs+3_64_add=large:afp=40000:afq=1.4:anc=none:bd=preordered:bsr=on:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:lcm=predicate:lma=on:lwlo=on:nm=16:newcnf=on:nwc=1.2:stl=90:sos=theory:thsq=on_285 on theBenchmark 0.21/0.41 % (23689)lrs+1_5:1_afr=on:afp=100000:afq=2.0:amm=off:anc=none:bd=off:fde=none:gs=on:gsaa=full_model:gsem=on:irw=on:lwlo=on:nm=0:nwc=2.5:stl=30:sp=occurrence:uhcvi=on:thsq=on_42 on theBenchmark 0.21/0.42 % (23682)First to succeed. 0.21/0.42 % (23704)lrs+10_24_add=off:afr=on:afp=1000:afq=1.4:anc=none:bs=unit_only:gs=on:gsaa=from_current:gsem=on:lma=on:nm=2:nwc=1.1:stl=60:sac=on:uhcvi=on:thsq=on_364 on theBenchmark 0.21/0.42 % (23682)Refutation found. Thanks to Tanya! 0.21/0.42 % SZS status Theorem for theBenchmark 0.21/0.42 % SZS output start Proof for theBenchmark 0.21/0.42 fof(f253,plain,( 0.21/0.42 $false), 0.21/0.42 inference(subsumption_resolution,[],[f156,f252])). 0.21/0.42 fof(f252,plain,( 0.21/0.42 ( ! [X10 : $i,X11 : $i] : (is_a_theorem(implies(or(X11,X10),or(X10,X11)))) )), 0.21/0.42 inference(forward_demodulation,[],[f251,f215])). 0.21/0.42 fof(f215,plain,( 0.21/0.42 ( ! [X2 : $i,X3 : $i] : (implies(not(X2),X3) = or(X2,X3)) )), 0.21/0.42 inference(superposition,[],[f154,f151])). 0.21/0.42 fof(f151,plain,( 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (implies(X0,X1) = not(and(X0,not(X1)))) )), 0.21/0.42 inference(subsumption_resolution,[],[f130,f124])). 0.21/0.42 fof(f124,plain,( 0.21/0.42 op_implies_and), 0.21/0.42 inference(cnf_transformation,[],[f39])). 0.21/0.42 fof(f39,axiom,( 0.21/0.42 op_implies_and), 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and)). 0.21/0.42 fof(f130,plain,( 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (implies(X0,X1) = not(and(X0,not(X1))) | ~op_implies_and) )), 0.21/0.42 inference(cnf_transformation,[],[f84])). 0.21/0.42 fof(f84,plain,( 0.21/0.42 ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) | ~op_implies_and), 0.21/0.42 inference(ennf_transformation,[],[f27])). 0.21/0.42 fof(f27,axiom,( 0.21/0.42 op_implies_and => ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))), 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and)). 0.21/0.42 fof(f154,plain,( 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (or(X0,X1) = not(and(not(X0),not(X1)))) )), 0.21/0.42 inference(subsumption_resolution,[],[f132,f123])). 0.21/0.42 fof(f123,plain,( 0.21/0.42 op_or), 0.21/0.42 inference(cnf_transformation,[],[f38])). 0.21/0.42 fof(f38,axiom,( 0.21/0.42 op_or), 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_or)). 0.21/0.42 fof(f132,plain,( 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (or(X0,X1) = not(and(not(X0),not(X1))) | ~op_or) )), 0.21/0.42 inference(cnf_transformation,[],[f86])). 0.21/0.42 fof(f86,plain,( 0.21/0.42 ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) | ~op_or), 0.21/0.42 inference(ennf_transformation,[],[f30])). 0.21/0.42 fof(f30,axiom,( 0.21/0.42 op_or => ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))), 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_or)). 0.21/0.42 fof(f251,plain,( 0.21/0.42 ( ! [X10 : $i,X11 : $i] : (is_a_theorem(implies(implies(not(X11),X10),or(X10,X11)))) )), 0.21/0.42 inference(forward_demodulation,[],[f242,f223])). 0.21/0.42 fof(f223,plain,( 0.21/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2)) )), 0.21/0.42 inference(forward_demodulation,[],[f209,f151])). 0.21/0.42 fof(f209,plain,( 0.21/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (or(and(X0,not(X1)),X2) = not(and(implies(X0,X1),not(X2)))) )), 0.21/0.42 inference(superposition,[],[f154,f151])). 0.21/0.42 fof(f242,plain,( 0.21/0.42 ( ! [X10 : $i,X11 : $i] : (is_a_theorem(or(and(not(X11),not(X10)),or(X10,X11)))) )), 0.21/0.42 inference(superposition,[],[f202,f215])). 0.21/0.42 fof(f202,plain,( 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (is_a_theorem(or(and(not(X1),X0),implies(X0,X1)))) )), 0.21/0.42 inference(backward_demodulation,[],[f162,f201])). 0.21/0.42 fof(f201,plain,( 0.21/0.42 ( ! [X10 : $i,X11 : $i,X9 : $i] : (implies(implies(X9,not(X10)),X11) = or(and(X9,X10),X11)) )), 0.21/0.42 inference(superposition,[],[f150,f153])). 0.21/0.42 fof(f153,plain,( 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (and(X0,X1) = not(implies(X0,not(X1)))) )), 0.21/0.42 inference(forward_demodulation,[],[f152,f150])). 0.21/0.42 fof(f152,plain,( 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (and(X0,X1) = not(or(not(X0),not(X1)))) )), 0.21/0.42 inference(subsumption_resolution,[],[f131,f125])). 0.21/0.42 fof(f125,plain,( 0.21/0.42 op_and), 0.21/0.42 inference(cnf_transformation,[],[f52])). 0.21/0.42 fof(f52,axiom,( 0.21/0.42 op_and), 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_and)). 0.21/0.42 fof(f131,plain,( 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (and(X0,X1) = not(or(not(X0),not(X1))) | ~op_and) )), 0.21/0.42 inference(cnf_transformation,[],[f85])). 0.21/0.42 fof(f85,plain,( 0.21/0.42 ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) | ~op_and), 0.21/0.42 inference(ennf_transformation,[],[f31])). 0.21/0.42 fof(f31,axiom,( 0.21/0.42 op_and => ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))), 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_and)). 0.21/0.42 fof(f150,plain,( 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (implies(X0,X1) = or(not(X0),X1)) )), 0.21/0.42 inference(subsumption_resolution,[],[f129,f126])). 0.21/0.42 fof(f126,plain,( 0.21/0.42 op_implies_or), 0.21/0.42 inference(cnf_transformation,[],[f51])). 0.21/0.42 fof(f51,axiom,( 0.21/0.42 op_implies_or), 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_implies_or)). 0.21/0.42 fof(f129,plain,( 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (implies(X0,X1) = or(not(X0),X1) | ~op_implies_or) )), 0.21/0.42 inference(cnf_transformation,[],[f83])). 0.21/0.42 fof(f83,plain,( 0.21/0.42 ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) | ~op_implies_or), 0.21/0.42 inference(ennf_transformation,[],[f28])). 0.21/0.42 fof(f28,axiom,( 0.21/0.42 op_implies_or => ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)), 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_or)). 0.21/0.42 fof(f162,plain,( 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))) )), 0.21/0.42 inference(subsumption_resolution,[],[f140,f115])). 0.21/0.42 fof(f115,plain,( 0.21/0.42 modus_tollens), 0.21/0.42 inference(cnf_transformation,[],[f45])). 0.21/0.42 fof(f45,axiom,( 0.21/0.42 modus_tollens), 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_modus_tollens)). 0.21/0.42 fof(f140,plain,( 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) | ~modus_tollens) )), 0.21/0.42 inference(cnf_transformation,[],[f94])). 0.21/0.42 fof(f94,plain,( 0.21/0.42 ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) | ~modus_tollens), 0.21/0.42 inference(ennf_transformation,[],[f81])). 0.21/0.42 fof(f81,plain,( 0.21/0.42 modus_tollens => ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))), 0.21/0.42 inference(unused_predicate_definition_removal,[],[f2])). 0.21/0.42 fof(f2,axiom,( 0.21/0.42 modus_tollens <=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))), 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_tollens)). 0.21/0.42 fof(f156,plain,( 0.21/0.42 ~is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0)))), 0.21/0.42 inference(subsumption_resolution,[],[f134,f107])). 0.21/0.42 fof(f107,plain,( 0.21/0.42 ~r3), 0.21/0.42 inference(cnf_transformation,[],[f55])). 0.21/0.42 fof(f55,plain,( 0.21/0.42 ~r3), 0.21/0.42 inference(flattening,[],[f54])). 0.21/0.42 fof(f54,negated_conjecture,( 0.21/0.42 ~r3), 0.21/0.42 inference(negated_conjecture,[],[f53])). 0.21/0.42 fof(f53,conjecture,( 0.21/0.42 r3), 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r3)). 0.21/0.42 fof(f134,plain,( 0.21/0.42 r3 | ~is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0)))), 0.21/0.42 inference(cnf_transformation,[],[f106])). 0.21/0.42 fof(f106,plain,( 0.21/0.42 r3 | ~is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0)))), 0.21/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f88,f105])). 0.21/0.42 fof(f105,plain,( 0.21/0.42 ? [X0,X1] : ~is_a_theorem(implies(or(X0,X1),or(X1,X0))) => ~is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0)))), 0.21/0.42 introduced(choice_axiom,[])). 0.21/0.42 fof(f88,plain,( 0.21/0.42 r3 | ? [X0,X1] : ~is_a_theorem(implies(or(X0,X1),or(X1,X0)))), 0.21/0.42 inference(ennf_transformation,[],[f71])). 0.21/0.42 fof(f71,plain,( 0.21/0.42 ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) => r3), 0.21/0.42 inference(unused_predicate_definition_removal,[],[f61])). 0.21/0.42 fof(f61,plain,( 0.21/0.42 r3 <=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))), 0.21/0.42 inference(rectify,[],[f20])). 0.21/0.42 fof(f20,axiom,( 0.21/0.42 r3 <=> ! [X3,X4] : is_a_theorem(implies(or(X3,X4),or(X4,X3)))), 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r3)). 0.21/0.42 % SZS output end Proof for theBenchmark 0.21/0.42 % (23682)------------------------------ 0.21/0.42 % (23682)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.21/0.42 % (23682)Termination reason: Refutation 0.21/0.42 0.21/0.42 % (23682)Memory used [KB]: 6652 0.21/0.42 % (23682)Time elapsed: 0.042 s 0.21/0.42 % (23682)------------------------------ 0.21/0.42 % (23682)------------------------------ 0.21/0.42 % (23678)Success in time 0.064 s 0.21/0.42 EOF