0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.23 % Computer : n159.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:25:25 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.27 % 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_3 on theBenchmark 0.64/0.87 % Time limit reached! 0.64/0.87 % ------------------------------ 0.64/0.87 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.64/0.87 % Termination reason: Time limit 0.64/0.87 % Termination phase: Saturation 0.64/0.87 0.64/0.87 % Memory used [KB]: 21875 0.64/0.87 % Time elapsed: 0.600 s 0.64/0.87 % ------------------------------ 0.64/0.87 % ------------------------------ 0.69/0.91 % ott+1002_8:1_add=off:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sas=z3:sp=occurrence:urr=on:updr=off_14 on theBenchmark 2.71/2.91 % Time limit reached! 2.71/2.91 % ------------------------------ 2.71/2.91 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.71/2.91 % Termination reason: Time limit 2.71/2.91 % Termination phase: Saturation 2.71/2.91 2.71/2.91 % Memory used [KB]: 25202 2.71/2.91 % Time elapsed: 2.0000 s 2.71/2.91 % ------------------------------ 2.71/2.91 % ------------------------------ 2.74/2.95 % lrs+1002_1_add=large:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_2 on theBenchmark 3.22/3.44 % Time limit reached! 3.22/3.44 % ------------------------------ 3.22/3.44 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.22/3.44 % Termination reason: Time limit 3.22/3.44 % Termination phase: Saturation 3.22/3.44 3.22/3.44 % Memory used [KB]: 16375 3.22/3.44 % Time elapsed: 0.500 s 3.22/3.44 % ------------------------------ 3.22/3.44 % ------------------------------ 3.27/3.48 % dis+1_2:3_acc=on:add=large:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 3.89/4.08 % Time limit reached! 3.89/4.08 % ------------------------------ 3.89/4.08 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.89/4.08 % Termination reason: Time limit 3.89/4.08 % Termination phase: Saturation 3.89/4.08 3.89/4.08 % Memory used [KB]: 24434 3.89/4.08 % Time elapsed: 0.600 s 3.89/4.08 % ------------------------------ 3.89/4.08 % ------------------------------ 3.89/4.11 % lrs+1010_3_av=off:fsr=off:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark 3.91/4.23 % Refutation found. Thanks to Tanya! 3.91/4.23 % SZS status Theorem for theBenchmark 3.91/4.23 % SZS output start Proof for theBenchmark 3.91/4.23 fof(f1,axiom,( 3.91/4.23 ! [X0,X1,X2] : (element(X2,powerset(cartesian_product2(X0,X1))) => relation(X2))), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1)). 3.91/4.23 fof(f2,axiom,( 3.91/4.23 ! [X0,X1] : ~(empty(X1) & in(X0,X1))), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole)). 3.91/4.23 fof(f9,axiom,( 3.91/4.23 ! [X0,X1,X2] : (relation_of2_as_subset(X2,X0,X1) => element(X2,powerset(cartesian_product2(X0,X1))))), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1)). 3.91/4.23 fof(f10,axiom,( 3.91/4.23 ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0)), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski)). 3.91/4.23 fof(f12,axiom,( 3.91/4.23 ! [X0,X1] : (element(X0,X1) => (empty(X1) | in(X0,X1)))), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset)). 3.91/4.23 fof(f17,axiom,( 3.91/4.23 ! [X0,X1,X2] : ((in(X0,X1) & element(X1,powerset(X2))) => element(X0,X2))), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset)). 3.91/4.23 fof(f19,conjecture,( 3.91/4.23 ! [X0,X1,X2] : (relation_of2_as_subset(X2,X0,X1) => (! [X3] : ~(in(X3,X1) & ! [X4] : ~in(ordered_pair(X4,X3),X2)) <=> relation_rng_as_subset(X0,X1,X2) = X1))), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_relset_1)). 3.91/4.23 fof(f20,negated_conjecture,( 3.91/4.23 ~! [X0,X1,X2] : (relation_of2_as_subset(X2,X0,X1) => (! [X3] : ~(in(X3,X1) & ! [X4] : ~in(ordered_pair(X4,X3),X2)) <=> relation_rng_as_subset(X0,X1,X2) = X1))), 3.91/4.23 inference(negated_conjecture,[],[f19])). 3.91/4.23 fof(f22,axiom,( 3.91/4.23 ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0))), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski)). 3.91/4.23 fof(f25,axiom,( 3.91/4.23 ! [X0,X1,X2] : ~(in(X0,X1) & element(X1,powerset(X2)) & empty(X2))), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset)). 3.91/4.23 fof(f29,axiom,( 3.91/4.23 ! [X0] : (relation(X0) => ! [X1] : (relation_rng(X0) = X1 <=> ! [X2] : (in(X2,X1) <=> ? [X3] : in(ordered_pair(X3,X2),X0))))), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1)). 3.91/4.23 fof(f33,axiom,( 3.91/4.23 ! [X0,X1,X2] : (relation_of2(X2,X0,X1) => relation_rng(X2) = relation_rng_as_subset(X0,X1,X2))), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_relset_1)). 3.91/4.23 fof(f35,axiom,( 3.91/4.23 ! [X0,X1] : (in(X0,X1) => element(X0,X1))), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset)). 3.91/4.23 fof(f36,axiom,( 3.91/4.23 ! [X0,X1,X2] : (relation_of2(X2,X0,X1) => element(relation_rng_as_subset(X0,X1,X2),powerset(X1)))), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relset_1)). 3.91/4.23 fof(f39,axiom,( 3.91/4.23 ! [X0,X1,X2] : (relation_of2(X2,X0,X1) <=> relation_of2_as_subset(X2,X0,X1))), 3.91/4.23 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1)). 3.91/4.23 fof(f41,plain,( 3.91/4.23 ? [X0,X1,X2] : ((! [X3] : (~in(X3,X1) | ? [X4] : in(ordered_pair(X4,X3),X2)) <~> relation_rng_as_subset(X0,X1,X2) = X1) & relation_of2_as_subset(X2,X0,X1))), 3.91/4.23 inference(ennf_transformation,[],[f20])). 3.91/4.23 fof(f42,plain,( 3.91/4.23 ! [X0] : (! [X1] : (relation_rng(X0) = X1 <=> ! [X2] : (in(X2,X1) <=> ? [X3] : in(ordered_pair(X3,X2),X0))) | ~relation(X0))), 3.91/4.23 inference(ennf_transformation,[],[f29])). 3.91/4.23 fof(f45,plain,( 3.91/4.23 ! [X0,X1] : (element(X0,X1) | ~in(X0,X1))), 3.91/4.23 inference(ennf_transformation,[],[f35])). 3.91/4.23 fof(f46,plain,( 3.91/4.23 ! [X0,X1] : ((empty(X1) | in(X0,X1)) | ~element(X0,X1))), 3.91/4.23 inference(ennf_transformation,[],[f12])). 3.91/4.23 fof(f47,plain,( 3.91/4.23 ! [X0,X1] : (empty(X1) | in(X0,X1) | ~element(X0,X1))), 3.91/4.23 inference(flattening,[],[f46])). 3.91/4.23 fof(f50,plain,( 3.91/4.23 ! [X0,X1] : (~empty(X1) | ~in(X0,X1))), 3.91/4.23 inference(ennf_transformation,[],[f2])). 3.91/4.23 fof(f53,plain,( 3.91/4.23 ! [X0,X1,X2] : (relation_rng(X2) = relation_rng_as_subset(X0,X1,X2) | ~relation_of2(X2,X0,X1))), 3.91/4.23 inference(ennf_transformation,[],[f33])). 3.91/4.23 fof(f54,plain,( 3.91/4.23 ! [X0,X1,X2] : (element(relation_rng_as_subset(X0,X1,X2),powerset(X1)) | ~relation_of2(X2,X0,X1))), 3.91/4.23 inference(ennf_transformation,[],[f36])). 3.91/4.23 fof(f55,plain,( 3.91/4.23 ! [X0,X1,X2] : (element(X2,powerset(cartesian_product2(X0,X1))) | ~relation_of2_as_subset(X2,X0,X1))), 3.91/4.23 inference(ennf_transformation,[],[f9])). 3.91/4.23 fof(f56,plain,( 3.91/4.23 ! [X0,X1,X2] : (relation(X2) | ~element(X2,powerset(cartesian_product2(X0,X1))))), 3.91/4.23 inference(ennf_transformation,[],[f1])). 3.91/4.23 fof(f57,plain,( 3.91/4.23 ! [X0,X1,X2] : (element(X0,X2) | (~in(X0,X1) | ~element(X1,powerset(X2))))), 3.91/4.23 inference(ennf_transformation,[],[f17])). 3.91/4.23 fof(f58,plain,( 3.91/4.23 ! [X0,X1,X2] : (element(X0,X2) | ~in(X0,X1) | ~element(X1,powerset(X2)))), 3.91/4.23 inference(flattening,[],[f57])). 3.91/4.23 fof(f59,plain,( 3.91/4.23 ! [X0,X1,X2] : (~in(X0,X1) | ~element(X1,powerset(X2)) | ~empty(X2))), 3.91/4.23 inference(ennf_transformation,[],[f25])). 3.91/4.23 fof(f60,plain,( 3.91/4.23 ( ! [X4] : (relation_rng_as_subset(sK0,sK1,sK2) != sK1 | ~in(ordered_pair(X4,sK3),sK2)) )), 3.91/4.23 inference(cnf_transformation,[],[f41])). 3.91/4.23 fof(f61,plain,( 3.91/4.23 relation_rng_as_subset(sK0,sK1,sK2) != sK1 | in(sK3,sK1)), 3.91/4.23 inference(cnf_transformation,[],[f41])). 3.91/4.23 fof(f62,plain,( 3.91/4.23 ( ! [X3] : (relation_rng_as_subset(sK0,sK1,sK2) = sK1 | in(ordered_pair(sK4(X3),X3),sK2) | ~in(X3,sK1)) )), 3.91/4.23 inference(cnf_transformation,[],[f41])). 3.91/4.23 fof(f63,plain,( 3.91/4.23 relation_of2_as_subset(sK2,sK0,sK1)), 3.91/4.23 inference(cnf_transformation,[],[f41])). 3.91/4.23 fof(f65,plain,( 3.91/4.23 ( ! [X2,X0] : (in(ordered_pair(sK7(X0,X2),X2),X0) | ~sP6(X2,X0)) )), 3.91/4.23 inference(cnf_transformation,[],[f42])). 3.91/4.23 fof(f66,plain,( 3.91/4.23 ( ! [X2,X0,X3] : (~in(ordered_pair(X3,X2),X0) | sP6(X2,X0)) )), 3.91/4.23 inference(cnf_transformation,[],[f42])). 3.91/4.23 fof(f67,plain,( 3.91/4.23 ( ! [X2,X0,X1] : (~relation(X0) | ~sP6(X2,X0) | in(X2,X1) | relation_rng(X0) != X1) )), 3.91/4.23 inference(cnf_transformation,[],[f42])). 3.91/4.23 fof(f68,plain,( 3.91/4.23 ( ! [X2,X0,X1] : (~relation(X0) | sP6(X2,X0) | ~in(X2,X1) | relation_rng(X0) != X1) )), 3.91/4.23 inference(cnf_transformation,[],[f42])). 3.91/4.23 fof(f69,plain,( 3.91/4.23 ( ! [X0,X1] : (sP6(sK5(X0,X1),X0) | ~relation(X0) | in(sK5(X0,X1),X1) | relation_rng(X0) = X1) )), 3.91/4.23 inference(cnf_transformation,[],[f42])). 3.91/4.23 fof(f70,plain,( 3.91/4.23 ( ! [X0,X1] : (~sP6(sK5(X0,X1),X0) | ~relation(X0) | ~in(sK5(X0,X1),X1) | relation_rng(X0) = X1) )), 3.91/4.23 inference(cnf_transformation,[],[f42])). 3.91/4.23 fof(f75,plain,( 3.91/4.23 ( ! [X0,X1] : (unordered_pair(X0,X1) = unordered_pair(X1,X0)) )), 3.91/4.23 inference(cnf_transformation,[],[f10])). 3.91/4.23 fof(f76,plain,( 3.91/4.23 ( ! [X0,X1] : (ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0))) )), 3.91/4.23 inference(cnf_transformation,[],[f22])). 3.91/4.23 fof(f78,plain,( 3.91/4.23 ( ! [X0,X1] : (~in(X0,X1) | element(X0,X1)) )), 3.91/4.23 inference(cnf_transformation,[],[f45])). 3.91/4.23 fof(f79,plain,( 3.91/4.23 ( ! [X0,X1] : (~element(X0,X1) | in(X0,X1) | empty(X1)) )), 3.91/4.23 inference(cnf_transformation,[],[f47])). 3.91/4.23 fof(f85,plain,( 3.91/4.23 ( ! [X0,X1] : (~in(X0,X1) | ~empty(X1)) )), 3.91/4.23 inference(cnf_transformation,[],[f50])). 3.91/4.23 fof(f90,plain,( 3.91/4.23 ( ! [X2,X0,X1] : (relation_rng(X2) = relation_rng_as_subset(X0,X1,X2) | ~relation_of2(X2,X0,X1)) )), 3.91/4.23 inference(cnf_transformation,[],[f53])). 3.91/4.23 fof(f91,plain,( 3.91/4.23 ( ! [X2,X0,X1] : (element(relation_rng_as_subset(X0,X1,X2),powerset(X1)) | ~relation_of2(X2,X0,X1)) )), 3.91/4.23 inference(cnf_transformation,[],[f54])). 3.91/4.23 fof(f92,plain,( 3.91/4.23 ( ! [X2,X0,X1] : (element(X2,powerset(cartesian_product2(X0,X1))) | ~relation_of2_as_subset(X2,X0,X1)) )), 3.91/4.23 inference(cnf_transformation,[],[f55])). 3.91/4.23 fof(f93,plain,( 3.91/4.23 ( ! [X2,X0,X1] : (~element(X2,powerset(cartesian_product2(X0,X1))) | relation(X2)) )), 3.91/4.23 inference(cnf_transformation,[],[f56])). 3.91/4.23 fof(f94,plain,( 3.91/4.23 ( ! [X2,X0,X1] : (~element(X1,powerset(X2)) | ~in(X0,X1) | element(X0,X2)) )), 3.91/4.23 inference(cnf_transformation,[],[f58])). 3.91/4.23 fof(f95,plain,( 3.91/4.23 ( ! [X2,X0,X1] : (~relation_of2_as_subset(X2,X0,X1) | relation_of2(X2,X0,X1)) )), 3.91/4.23 inference(cnf_transformation,[],[f39])). 3.91/4.23 fof(f97,plain,( 3.91/4.23 ( ! [X2,X0,X1] : (~element(X1,powerset(X2)) | ~empty(X2) | ~in(X0,X1)) )), 3.91/4.23 inference(cnf_transformation,[],[f59])). 3.91/4.23 fof(f100,plain,( 3.91/4.23 ( ! [X3] : (relation_rng_as_subset(sK0,sK1,sK2) = sK1 | in(unordered_pair(unordered_pair(sK4(X3),X3),singleton(sK4(X3))),sK2) | ~in(X3,sK1)) )), 3.91/4.23 inference(definition_unfolding,[],[f62,f76])). 3.91/4.23 fof(f101,plain,( 3.91/4.23 ( ! [X4] : (relation_rng_as_subset(sK0,sK1,sK2) != sK1 | ~in(unordered_pair(unordered_pair(X4,sK3),singleton(X4)),sK2)) )), 3.91/4.23 inference(definition_unfolding,[],[f60,f76])). 3.91/4.23 fof(f102,plain,( 3.91/4.23 ( ! [X2,X0,X3] : (~in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),X0) | sP6(X2,X0)) )), 3.91/4.23 inference(definition_unfolding,[],[f66,f76])). 3.91/4.23 fof(f103,plain,( 3.91/4.23 ( ! [X2,X0] : (in(unordered_pair(unordered_pair(sK7(X0,X2),X2),singleton(sK7(X0,X2))),X0) | ~sP6(X2,X0)) )), 3.91/4.23 inference(definition_unfolding,[],[f65,f76])). 3.91/4.23 fof(f107,plain,( 3.91/4.23 ( ! [X2,X0] : (~in(X2,relation_rng(X0)) | sP6(X2,X0) | ~relation(X0)) )), 3.91/4.23 inference(equality_resolution,[],[f68])). 3.91/4.23 fof(f108,plain,( 3.91/4.23 ( ! [X2,X0] : (in(X2,relation_rng(X0)) | ~sP6(X2,X0) | ~relation(X0)) )), 3.91/4.23 inference(equality_resolution,[],[f67])). 3.91/4.23 fof(f109,plain,( 3.91/4.23 ( ! [X3] : (in(unordered_pair(singleton(sK4(X3)),unordered_pair(sK4(X3),X3)),sK2) | relation_rng_as_subset(sK0,sK1,sK2) = sK1 | ~in(X3,sK1)) )), 3.91/4.23 inference(backward_demodulation,[],[f75,f100])). 3.91/4.23 fof(f110,plain,( 3.91/4.23 ( ! [X4] : (relation_rng_as_subset(sK0,sK1,sK2) != sK1 | ~in(unordered_pair(singleton(X4),unordered_pair(X4,sK3)),sK2)) )), 3.91/4.23 inference(backward_demodulation,[],[f75,f101])). 3.91/4.23 fof(f112,plain,( 3.91/4.23 ( ! [X2,X0,X3] : (~in(unordered_pair(singleton(X3),unordered_pair(X3,X2)),X0) | sP6(X2,X0)) )), 3.91/4.23 inference(backward_demodulation,[],[f75,f102])). 3.91/4.23 fof(f113,plain,( 3.91/4.23 ( ! [X2,X0] : (in(unordered_pair(singleton(sK7(X0,X2)),unordered_pair(sK7(X0,X2),X2)),X0) | ~sP6(X2,X0)) )), 3.91/4.23 inference(backward_demodulation,[],[f75,f103])). 3.91/4.23 fof(f114,plain,( 3.91/4.23 ( ! [X3] : (in(unordered_pair(singleton(sK4(X3)),unordered_pair(X3,sK4(X3))),sK2) | relation_rng_as_subset(sK0,sK1,sK2) = sK1 | ~in(X3,sK1)) )), 3.91/4.23 inference(forward_demodulation,[],[f109,f75])). 3.91/4.23 fof(f115,plain,( 3.91/4.23 ( ! [X2,X0] : (in(unordered_pair(singleton(sK7(X0,X2)),unordered_pair(X2,sK7(X0,X2))),X0) | ~sP6(X2,X0)) )), 3.91/4.23 inference(forward_demodulation,[],[f113,f75])). 3.91/4.23 fof(f156,plain,( 3.91/4.23 relation_of2(sK2,sK0,sK1)), 3.91/4.23 inference(unit_resulting_resolution,[],[f63,f95])). 3.91/4.23 fof(f248,plain,( 3.91/4.23 element(sK2,powerset(cartesian_product2(sK0,sK1)))), 3.91/4.23 inference(unit_resulting_resolution,[],[f63,f92])). 3.91/4.23 fof(f256,plain,( 3.91/4.23 relation(sK2)), 3.91/4.23 inference(unit_resulting_resolution,[],[f248,f93])). 3.91/4.23 fof(f274,plain,( 3.91/4.23 relation_rng(sK2) = relation_rng_as_subset(sK0,sK1,sK2)), 3.91/4.23 inference(unit_resulting_resolution,[],[f156,f90])). 3.91/4.23 fof(f283,plain,( 3.91/4.23 ( ! [X4] : (relation_rng(sK2) != sK1 | ~in(unordered_pair(singleton(X4),unordered_pair(X4,sK3)),sK2)) )), 3.91/4.23 inference(backward_demodulation,[],[f274,f110])). 3.91/4.23 fof(f284,plain,( 3.91/4.23 ( ! [X3] : (in(unordered_pair(singleton(sK4(X3)),unordered_pair(X3,sK4(X3))),sK2) | relation_rng(sK2) = sK1 | ~in(X3,sK1)) )), 3.91/4.23 inference(backward_demodulation,[],[f274,f114])). 3.91/4.23 fof(f285,plain,( 3.91/4.23 relation_rng(sK2) != sK1 | in(sK3,sK1)), 3.91/4.23 inference(backward_demodulation,[],[f274,f61])). 3.91/4.23 fof(f311,plain,( 3.91/4.23 element(relation_rng_as_subset(sK0,sK1,sK2),powerset(sK1))), 3.91/4.23 inference(unit_resulting_resolution,[],[f156,f91])). 3.91/4.23 fof(f322,plain,( 3.91/4.23 element(relation_rng(sK2),powerset(sK1))), 3.91/4.23 inference(forward_demodulation,[],[f311,f274])). 3.91/4.23 fof(f325,plain,( 3.91/4.23 ( ! [X0] : (~in(X0,relation_rng(sK2)) | element(X0,sK1)) )), 3.91/4.23 inference(resolution,[],[f322,f94])). 3.91/4.23 fof(f326,plain,( 3.91/4.23 ( ! [X1] : (~in(X1,relation_rng(sK2)) | ~empty(sK1)) )), 3.91/4.23 inference(resolution,[],[f322,f97])). 3.91/4.23 fof(f332,plain,( 3.91/4.23 ( ! [X0] : (~empty(sK1) | ~sP6(X0,sK2) | ~relation(sK2)) )), 3.91/4.23 inference(resolution,[],[f326,f108])). 3.91/4.23 fof(f335,plain,( 3.91/4.23 ( ! [X0] : (~sP6(X0,sK2) | ~empty(sK1)) )), 3.91/4.23 inference(global_subsumption,[],[f256,f332])). 3.91/4.23 fof(f337,plain,( 3.91/4.23 ( ! [X2,X0,X1] : (~in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),X2) | sP6(X1,X2)) )), 3.91/4.23 inference(superposition,[],[f112,f75])). 3.91/4.23 fof(f341,plain,( 3.91/4.23 ( ! [X0] : (element(X0,sK1) | ~sP6(X0,sK2) | ~relation(sK2)) )), 3.91/4.23 inference(resolution,[],[f325,f108])). 3.91/4.23 fof(f344,plain,( 3.91/4.23 ( ! [X0] : (~sP6(X0,sK2) | element(X0,sK1)) )), 3.91/4.23 inference(global_subsumption,[],[f256,f341])). 3.91/4.23 fof(f412,plain,( 3.91/4.23 ( ! [X3] : (~relation(sK2) | in(sK5(sK2,X3),X3) | relation_rng(sK2) = X3 | element(sK5(sK2,X3),sK1)) )), 3.91/4.23 inference(resolution,[],[f69,f344])). 3.91/4.23 fof(f413,plain,( 3.91/4.23 ( ! [X4] : (~relation(sK2) | in(sK5(sK2,X4),X4) | relation_rng(sK2) = X4 | ~empty(sK1)) )), 3.91/4.23 inference(resolution,[],[f69,f335])). 3.91/4.23 fof(f415,plain,( 3.91/4.23 ( ! [X3] : (in(sK5(sK2,X3),X3) | relation_rng(sK2) = X3 | element(sK5(sK2,X3),sK1)) )), 3.91/4.23 inference(global_subsumption,[],[f256,f412])). 3.91/4.23 fof(f416,plain,( 3.91/4.23 ( ! [X4] : (in(sK5(sK2,X4),X4) | relation_rng(sK2) = X4 | ~empty(sK1)) )), 3.91/4.23 inference(global_subsumption,[],[f256,f413])). 3.91/4.23 fof(f430,plain,( 3.91/4.23 ( ! [X2] : (relation_rng(sK2) = X2 | ~empty(sK1) | ~empty(X2)) )), 3.91/4.23 inference(resolution,[],[f416,f85])). 3.91/4.23 fof(f506,plain,( 3.91/4.23 ( ! [X4] : (sK1 != X4 | in(sK3,sK1) | ~empty(sK1) | ~empty(X4)) )), 3.91/4.23 inference(superposition,[],[f285,f430])). 3.91/4.23 fof(f850,plain,( 3.91/4.23 in(sK3,sK1) | ~empty(sK1) | ~empty(sK1)), 3.91/4.23 inference(equality_resolution,[],[f506])). 3.91/4.23 fof(f851,plain,( 3.91/4.23 in(sK3,sK1) | ~empty(sK1)), 3.91/4.23 inference(duplicate_literal_removal,[],[f850])). 3.91/4.23 fof(f862,plain,( 3.91/4.23 ~empty(sK1) | ~empty(sK1)), 3.91/4.23 inference(resolution,[],[f851,f85])). 3.91/4.23 fof(f863,plain,( 3.91/4.23 ~empty(sK1)), 3.91/4.23 inference(duplicate_literal_removal,[],[f862])). 3.91/4.23 fof(f904,plain,( 3.91/4.23 ( ! [X0] : (relation_rng(sK2) = sK1 | sP6(X0,sK2) | ~in(X0,sK1)) )), 3.91/4.23 inference(resolution,[],[f337,f284])). 3.91/4.23 fof(f1056,plain,( 3.91/4.23 ( ! [X0,X1] : (sK1 != sK1 | ~in(unordered_pair(singleton(X0),unordered_pair(X0,sK3)),sK2) | sP6(X1,sK2) | ~in(X1,sK1)) )), 3.91/4.23 inference(superposition,[],[f283,f904])). 3.91/4.23 fof(f1057,plain,( 3.91/4.23 ( ! [X2] : (sK1 != sK1 | in(sK3,sK1) | sP6(X2,sK2) | ~in(X2,sK1)) )), 3.91/4.23 inference(superposition,[],[f285,f904])). 3.91/4.23 fof(f1077,plain,( 3.91/4.23 ( ! [X33,X34] : (~in(X33,sK1) | sP6(X33,sK2) | ~relation(sK2) | sP6(X34,sK2) | ~in(X34,sK1)) )), 3.91/4.23 inference(superposition,[],[f107,f904])). 3.91/4.23 fof(f1078,plain,( 3.91/4.23 ( ! [X2] : (~in(X2,sK1) | sP6(X2,sK2) | in(sK3,sK1)) )), 3.91/4.23 inference(trivial_inequality_removal,[],[f1057])). 3.91/4.23 fof(f1079,plain,( 3.91/4.23 ( ! [X0,X1] : (~in(unordered_pair(singleton(X0),unordered_pair(X0,sK3)),sK2) | sP6(X1,sK2) | ~in(X1,sK1)) )), 3.91/4.23 inference(trivial_inequality_removal,[],[f1056])). 3.91/4.23 fof(f1082,plain,( 3.91/4.23 ( ! [X33,X34] : (~in(X34,sK1) | sP6(X33,sK2) | sP6(X34,sK2) | ~in(X33,sK1)) )), 3.91/4.23 inference(global_subsumption,[],[f256,f1077])). 3.91/4.23 fof(f3781,plain,( 3.91/4.23 ( ! [X0,X1] : (~in(unordered_pair(singleton(X0),unordered_pair(sK3,X0)),sK2) | sP6(X1,sK2) | ~in(X1,sK1)) )), 3.91/4.23 inference(superposition,[],[f1079,f75])). 3.91/4.23 fof(f4110,plain,( 3.91/4.23 ( ! [X1] : (~sP6(sK3,sK2) | ~in(X1,sK1) | sP6(X1,sK2)) )), 3.91/4.23 inference(resolution,[],[f3781,f115])). 3.91/4.23 fof(f4240,plain,( 3.91/4.23 ( ! [X0] : (element(sK5(sK2,X0),sK1) | relation_rng(sK2) = X0 | element(sK5(sK2,X0),X0)) )), 3.91/4.23 inference(resolution,[],[f415,f78])). 3.91/4.23 fof(f4254,plain,( 3.91/4.23 relation_rng(sK2) = sK1 | element(sK5(sK2,sK1),sK1) | sP6(sK5(sK2,sK1),sK2) | in(sK3,sK1)), 3.91/4.23 inference(resolution,[],[f415,f1078])). 3.91/4.23 fof(f4265,plain,( 3.91/4.23 sP6(sK5(sK2,sK1),sK2) | element(sK5(sK2,sK1),sK1) | in(sK3,sK1)), 3.91/4.23 inference(global_subsumption,[],[f285,f4254])). 3.91/4.23 fof(f4323,plain,( 3.91/4.23 element(sK5(sK2,sK1),sK1) | in(sK3,sK1) | element(sK5(sK2,sK1),sK1)), 3.91/4.23 inference(resolution,[],[f4265,f344])). 3.91/4.23 fof(f4331,plain,( 3.91/4.23 element(sK5(sK2,sK1),sK1) | in(sK3,sK1)), 3.91/4.23 inference(duplicate_literal_removal,[],[f4323])). 3.91/4.23 fof(f4332,plain,( 3.91/4.23 in(sK3,sK1) | in(sK5(sK2,sK1),sK1) | empty(sK1)), 3.91/4.23 inference(resolution,[],[f4331,f79])). 3.91/4.23 fof(f4333,plain,( 3.91/4.23 in(sK5(sK2,sK1),sK1) | in(sK3,sK1)), 3.91/4.23 inference(global_subsumption,[],[f863,f4332])). 3.91/4.23 fof(f4335,plain,( 3.91/4.23 in(sK3,sK1) | sP6(sK5(sK2,sK1),sK2) | in(sK3,sK1)), 3.91/4.23 inference(resolution,[],[f4333,f1078])). 3.91/4.23 fof(f4344,plain,( 3.91/4.23 sP6(sK5(sK2,sK1),sK2) | in(sK3,sK1)), 3.91/4.23 inference(duplicate_literal_removal,[],[f4335])). 3.91/4.23 fof(f4364,plain,( 3.91/4.23 in(sK3,sK1) | ~relation(sK2) | ~in(sK5(sK2,sK1),sK1) | relation_rng(sK2) = sK1), 3.91/4.23 inference(resolution,[],[f4344,f70])). 3.91/4.23 fof(f4367,plain,( 3.91/4.23 ~in(sK5(sK2,sK1),sK1) | in(sK3,sK1) | relation_rng(sK2) = sK1), 3.91/4.23 inference(global_subsumption,[],[f256,f4364])). 3.91/4.23 fof(f4368,plain,( 3.91/4.23 in(sK3,sK1) | relation_rng(sK2) = sK1 | in(sK3,sK1)), 3.91/4.23 inference(resolution,[],[f4367,f4333])). 3.91/4.23 fof(f4380,plain,( 3.91/4.23 relation_rng(sK2) = sK1 | in(sK3,sK1)), 3.91/4.23 inference(duplicate_literal_removal,[],[f4368])). 3.91/4.23 fof(f4490,plain,( 3.91/4.23 in(sK3,sK1)), 3.91/4.23 inference(global_subsumption,[],[f285,f4380])). 3.91/4.23 fof(f4501,plain,( 3.91/4.23 ( ! [X0] : (~in(X0,sK1) | sP6(sK3,sK2) | sP6(X0,sK2)) )), 3.91/4.23 inference(resolution,[],[f4490,f1082])). 3.91/4.23 fof(f4527,plain,( 3.91/4.23 sP6(sK3,sK2) | sP6(sK3,sK2)), 3.91/4.23 inference(resolution,[],[f4501,f4490])). 3.91/4.23 fof(f4560,plain,( 3.91/4.23 sP6(sK3,sK2)), 3.91/4.23 inference(duplicate_literal_removal,[],[f4527])). 3.91/4.23 fof(f4569,plain,( 3.91/4.23 in(unordered_pair(singleton(sK7(sK2,sK3)),unordered_pair(sK3,sK7(sK2,sK3))),sK2)), 3.91/4.23 inference(unit_resulting_resolution,[],[f4560,f115])). 3.91/4.23 fof(f4577,plain,( 3.91/4.23 ( ! [X0] : (~in(X0,sK1) | sP6(X0,sK2)) )), 3.91/4.23 inference(resolution,[],[f4560,f4110])). 3.91/4.23 fof(f5099,plain,( 3.91/4.23 element(sK5(sK2,sK1),sK1) | relation_rng(sK2) = sK1), 3.91/4.23 inference(factoring,[],[f4240])). 3.91/4.23 fof(f5142,plain,( 3.91/4.23 relation_rng(sK2) = sK1 | in(sK5(sK2,sK1),sK1) | empty(sK1)), 3.91/4.23 inference(resolution,[],[f5099,f79])). 3.91/4.23 fof(f5143,plain,( 3.91/4.23 in(sK5(sK2,sK1),sK1) | relation_rng(sK2) = sK1), 3.91/4.23 inference(global_subsumption,[],[f863,f5142])). 3.91/4.23 fof(f5152,plain,( 3.91/4.23 sP6(sK5(sK2,sK1),sK2) | relation_rng(sK2) = sK1), 3.91/4.23 inference(resolution,[],[f5143,f4577])). 3.91/4.23 fof(f5164,plain,( 3.91/4.23 relation_rng(sK2) = sK1 | ~relation(sK2) | ~in(sK5(sK2,sK1),sK1) | relation_rng(sK2) = sK1), 3.91/4.23 inference(resolution,[],[f5152,f70])). 3.91/4.23 fof(f5167,plain,( 3.91/4.23 relation_rng(sK2) = sK1 | ~relation(sK2) | ~in(sK5(sK2,sK1),sK1)), 3.91/4.23 inference(duplicate_literal_removal,[],[f5164])). 3.91/4.23 fof(f5168,plain,( 3.91/4.23 ~in(sK5(sK2,sK1),sK1) | relation_rng(sK2) = sK1), 3.91/4.23 inference(global_subsumption,[],[f256,f5167])). 3.91/4.23 fof(f5169,plain,( 3.91/4.23 relation_rng(sK2) = sK1 | relation_rng(sK2) = sK1), 3.91/4.23 inference(resolution,[],[f5168,f5143])). 3.91/4.23 fof(f5182,plain,( 3.91/4.23 relation_rng(sK2) = sK1), 3.91/4.23 inference(duplicate_literal_removal,[],[f5169])). 3.91/4.23 fof(f5184,plain,( 3.91/4.23 ( ! [X4] : (sK1 != sK1 | ~in(unordered_pair(singleton(X4),unordered_pair(X4,sK3)),sK2)) )), 3.91/4.23 inference(backward_demodulation,[],[f5182,f283])). 3.91/4.23 fof(f5401,plain,( 3.91/4.23 ( ! [X4] : (~in(unordered_pair(singleton(X4),unordered_pair(X4,sK3)),sK2)) )), 3.91/4.23 inference(trivial_inequality_removal,[],[f5184])). 3.91/4.23 fof(f5460,plain,( 3.91/4.23 ( ! [X0] : (~in(unordered_pair(singleton(X0),unordered_pair(sK3,X0)),sK2)) )), 3.91/4.23 inference(superposition,[],[f5401,f75])). 3.91/4.23 fof(f5571,plain,( 3.91/4.23 $false), 3.91/4.23 inference(resolution,[],[f5460,f4569])). 3.91/4.23 % SZS output end Proof for theBenchmark 3.91/4.23 % ------------------------------ 3.91/4.23 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.91/4.23 % Termination reason: Refutation 3.91/4.23 3.91/4.23 % Memory used [KB]: 9722 3.91/4.23 % Time elapsed: 0.118 s 3.91/4.23 % ------------------------------ 3.91/4.23 % ------------------------------ 3.91/4.23 % Success in time 3.993 s 3.91/4.24 EOF