TSTP Solution File: NUM397+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM397+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:21:58 EDT 2024
% Result : Theorem 6.33s 1.24s
% Output : Refutation 6.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM397+1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.33 % Computer : n031.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Mon Apr 29 23:54:28 EDT 2024
% 0.09/0.33 % CPUTime :
% 0.09/0.33 % (27112)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.35 % (27115)WARNING: value z3 for option sas not known
% 0.14/0.35 % (27113)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.35 % (27117)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.35 % (27118)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.35 % (27119)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.35 % (27114)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.35 % (27115)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.35 % (27116)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.35 TRYING [1]
% 0.14/0.35 TRYING [2]
% 0.14/0.35 TRYING [3]
% 0.14/0.35 TRYING [1]
% 0.14/0.36 TRYING [4]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 TRYING [3]
% 0.14/0.36 TRYING [5]
% 0.14/0.38 TRYING [6]
% 0.14/0.39 TRYING [4]
% 0.14/0.41 TRYING [7]
% 0.14/0.44 TRYING [5]
% 0.14/0.51 TRYING [8]
% 0.14/0.56 TRYING [6]
% 4.70/1.03 TRYING [1]
% 4.70/1.03 TRYING [2]
% 4.70/1.03 TRYING [3]
% 4.70/1.03 TRYING [4]
% 4.70/1.04 TRYING [5]
% 4.70/1.06 TRYING [6]
% 5.20/1.09 TRYING [7]
% 5.20/1.12 TRYING [9]
% 6.18/1.21 TRYING [8]
% 6.18/1.23 % (27119)First to succeed.
% 6.33/1.24 vampire: malloc.c:2617: sysmalloc: Assertion `(old_top == initial_top (av) && old_size == 0) || ((unsigned long) (old_size) >= MINSIZE && prev_inuse (old_top) && ((unsigned long) old_end & (pagesize - 1)) == 0)' failed.
% 6.33/1.24 27115 Aborted by signal SIGABRT on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.33/1.24 % (27115)------------------------------
% 6.33/1.24 % (27115)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.33/1.24 % (27119)Refutation found. Thanks to Tanya!
% 6.33/1.24 % SZS status Theorem for theBenchmark
% 6.33/1.24 % SZS output start Proof for theBenchmark
% 6.33/1.24 fof(f28311,plain,(
% 6.33/1.24 $false),
% 6.33/1.24 inference(subsumption_resolution,[],[f28290,f27470])).
% 6.33/1.24 fof(f27470,plain,(
% 6.33/1.24 in(sK6(union(sK3)),sK9(sK3,sK6(union(sK3))))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f27433,f1267])).
% 6.33/1.24 fof(f1267,plain,(
% 6.33/1.24 ( ! [X0] : (in(sK6(union(X0)),sK9(X0,sK6(union(X0)))) | epsilon_connected(union(X0))) )),
% 6.33/1.24 inference(resolution,[],[f1223,f196])).
% 6.33/1.24 fof(f196,plain,(
% 6.33/1.24 ( ! [X0,X1] : (~sP1(X0,X1) | in(X1,sK9(X0,X1))) )),
% 6.33/1.24 inference(cnf_transformation,[],[f116])).
% 6.33/1.24 fof(f116,plain,(
% 6.33/1.24 ! [X0,X1] : ((sP1(X0,X1) | ! [X2] : (~in(X2,X0) | ~in(X1,X2))) & ((in(sK9(X0,X1),X0) & in(X1,sK9(X0,X1))) | ~sP1(X0,X1)))),
% 6.33/1.24 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f114,f115])).
% 6.33/1.24 fof(f115,plain,(
% 6.33/1.24 ! [X0,X1] : (? [X3] : (in(X3,X0) & in(X1,X3)) => (in(sK9(X0,X1),X0) & in(X1,sK9(X0,X1))))),
% 6.33/1.24 introduced(choice_axiom,[])).
% 6.33/1.24 fof(f114,plain,(
% 6.33/1.24 ! [X0,X1] : ((sP1(X0,X1) | ! [X2] : (~in(X2,X0) | ~in(X1,X2))) & (? [X3] : (in(X3,X0) & in(X1,X3)) | ~sP1(X0,X1)))),
% 6.33/1.24 inference(rectify,[],[f113])).
% 6.33/1.24 fof(f113,plain,(
% 6.33/1.24 ! [X0,X2] : ((sP1(X0,X2) | ! [X3] : (~in(X3,X0) | ~in(X2,X3))) & (? [X3] : (in(X3,X0) & in(X2,X3)) | ~sP1(X0,X2)))),
% 6.33/1.24 inference(nnf_transformation,[],[f90])).
% 6.33/1.24 fof(f90,plain,(
% 6.33/1.24 ! [X0,X2] : (sP1(X0,X2) <=> ? [X3] : (in(X3,X0) & in(X2,X3)))),
% 6.33/1.24 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])).
% 6.33/1.24 fof(f1223,plain,(
% 6.33/1.24 ( ! [X0] : (sP1(X0,sK6(union(X0))) | epsilon_connected(union(X0))) )),
% 6.33/1.24 inference(resolution,[],[f930,f174])).
% 6.33/1.24 fof(f174,plain,(
% 6.33/1.24 ( ! [X0] : (in(sK6(X0),X0) | epsilon_connected(X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f103])).
% 6.33/1.24 fof(f103,plain,(
% 6.33/1.24 ! [X0] : ((epsilon_connected(X0) | (~in(sK6(X0),sK5(X0)) & sK5(X0) != sK6(X0) & ~in(sK5(X0),sK6(X0)) & in(sK6(X0),X0) & in(sK5(X0),X0))) & (! [X3,X4] : (in(X4,X3) | X3 = X4 | in(X3,X4) | ~in(X4,X0) | ~in(X3,X0)) | ~epsilon_connected(X0)))),
% 6.33/1.24 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f101,f102])).
% 6.33/1.24 fof(f102,plain,(
% 6.33/1.24 ! [X0] : (? [X1,X2] : (~in(X2,X1) & X1 != X2 & ~in(X1,X2) & in(X2,X0) & in(X1,X0)) => (~in(sK6(X0),sK5(X0)) & sK5(X0) != sK6(X0) & ~in(sK5(X0),sK6(X0)) & in(sK6(X0),X0) & in(sK5(X0),X0)))),
% 6.33/1.24 introduced(choice_axiom,[])).
% 6.33/1.24 fof(f101,plain,(
% 6.33/1.24 ! [X0] : ((epsilon_connected(X0) | ? [X1,X2] : (~in(X2,X1) & X1 != X2 & ~in(X1,X2) & in(X2,X0) & in(X1,X0))) & (! [X3,X4] : (in(X4,X3) | X3 = X4 | in(X3,X4) | ~in(X4,X0) | ~in(X3,X0)) | ~epsilon_connected(X0)))),
% 6.33/1.24 inference(rectify,[],[f100])).
% 6.33/1.24 fof(f100,plain,(
% 6.33/1.24 ! [X0] : ((epsilon_connected(X0) | ? [X1,X2] : (~in(X2,X1) & X1 != X2 & ~in(X1,X2) & in(X2,X0) & in(X1,X0))) & (! [X1,X2] : (in(X2,X1) | X1 = X2 | in(X1,X2) | ~in(X2,X0) | ~in(X1,X0)) | ~epsilon_connected(X0)))),
% 6.33/1.24 inference(nnf_transformation,[],[f69])).
% 6.33/1.24 fof(f69,plain,(
% 6.33/1.24 ! [X0] : (epsilon_connected(X0) <=> ! [X1,X2] : (in(X2,X1) | X1 = X2 | in(X1,X2) | ~in(X2,X0) | ~in(X1,X0)))),
% 6.33/1.24 inference(ennf_transformation,[],[f10])).
% 6.33/1.24 fof(f10,axiom,(
% 6.33/1.24 ! [X0] : (epsilon_connected(X0) <=> ! [X1,X2] : ~(~in(X2,X1) & X1 != X2 & ~in(X1,X2) & in(X2,X0) & in(X1,X0)))),
% 6.33/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_ordinal1)).
% 6.33/1.24 fof(f930,plain,(
% 6.33/1.24 ( ! [X0,X1] : (~in(X0,union(X1)) | sP1(X1,X0)) )),
% 6.33/1.24 inference(resolution,[],[f192,f234])).
% 6.33/1.24 fof(f234,plain,(
% 6.33/1.24 ( ! [X0] : (sP2(X0,union(X0))) )),
% 6.33/1.24 inference(equality_resolution,[],[f199])).
% 6.33/1.24 fof(f199,plain,(
% 6.33/1.24 ( ! [X0,X1] : (sP2(X0,X1) | union(X0) != X1) )),
% 6.33/1.24 inference(cnf_transformation,[],[f117])).
% 6.33/1.24 fof(f117,plain,(
% 6.33/1.24 ! [X0,X1] : ((union(X0) = X1 | ~sP2(X0,X1)) & (sP2(X0,X1) | union(X0) != X1))),
% 6.33/1.24 inference(nnf_transformation,[],[f92])).
% 6.33/1.24 fof(f92,plain,(
% 6.33/1.24 ! [X0,X1] : (union(X0) = X1 <=> sP2(X0,X1))),
% 6.33/1.24 inference(definition_folding,[],[f12,f91,f90])).
% 6.33/1.24 fof(f91,plain,(
% 6.33/1.24 ! [X0,X1] : (sP2(X0,X1) <=> ! [X2] : (in(X2,X1) <=> sP1(X0,X2)))),
% 6.33/1.24 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])).
% 6.33/1.24 fof(f12,axiom,(
% 6.33/1.24 ! [X0,X1] : (union(X0) = X1 <=> ! [X2] : (in(X2,X1) <=> ? [X3] : (in(X3,X0) & in(X2,X3))))),
% 6.33/1.24 file(% (27115)Termination reason: Unknown
% 6.33/1.24 % (27115)Termination phase: Saturation
% 6.33/1.24 '/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski)).
% 6.33/1.24 fof(f192,plain,(
% 6.33/1.24 ( ! [X3,X0,X1] : (~sP2(X0,X1) | ~in(X3,X1) | sP1(X0,X3)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f112])).
% 6.33/1.24 fof(f112,plain,(
% 6.33/1.24 ! [X0,X1] : ((sP2(X0,X1) | ((~sP1(X0,sK8(X0,X1)) | ~in(sK8(X0,X1),X1)) & (sP1(X0,sK8(X0,X1)) | in(sK8(X0,X1),X1)))) & (! [X3] : ((in(X3,X1) | ~sP1(X0,X3)) & (sP1(X0,X3) | ~in(X3,X1))) | ~sP2(X0,X1)))),
% 6.33/1.24 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f110,f111])).
% 6.33/1.24 fof(f111,plain,(
% 6.33/1.24 ! [X0,X1] : (? [X2] : ((~sP1(X0,X2) | ~in(X2,X1)) & (sP1(X0,X2) | in(X2,X1))) => ((~sP1(X0,sK8(X0,X1)) | ~in(sK8(X0,X1),X1)) & (sP1(X0,sK8(X0,X1)) | in(sK8(X0,X1),X1))))),
% 6.33/1.24 introduced(choice_axiom,[])).
% 6.33/1.24 fof(f110,plain,(
% 6.33/1.24 ! [X0,X1] : ((sP2(X0,X1) | ? [X2] : ((~sP1(X0,X2) | ~in(X2,X1)) & (sP1(X0,X2) | in(X2,X1)))) & (! [X3] : ((in(X3,X1) | ~sP1(X0,X3)) & (sP1(X0,X3) | ~in(X3,X1))) | ~sP2(X0,X1)))),
% 6.33/1.24 inference(rectify,[],[f109])).
% 6.33/1.24 fof(f109,plain,(
% 6.33/1.24 ! [X0,X1] : ((sP2(X0,X1) | ? [X2] : ((~sP1(X0,X2) | ~in(X2,X1)) & (sP1(X0,X2) | in(X2,X1)))) & (! [X2] : ((in(X2,X1) | ~sP1(X0,X2)) & (sP1(X0,X2) | ~in(X2,X1))) | ~sP2(X0,X1)))),
% 6.33/1.24 inference(nnf_transformation,[],[f91])).
% 6.33/1.24 fof(f27433,plain,(
% 6.33/1.24 ~epsilon_connected(union(sK3))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f144,f27424,f166])).
% 6.33/1.24 fof(f166,plain,(
% 6.33/1.24 ( ! [X0] : (~epsilon_connected(X0) | ordinal(X0) | ~epsilon_transitive(X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f65])).
% 6.33/1.24 fof(f65,plain,(
% 6.33/1.24 ! [X0] : (ordinal(X0) | ~epsilon_connected(X0) | ~epsilon_transitive(X0))),
% 6.33/1.24 inference(flattening,[],[f64])).
% 6.33/1.24 fof(f64,plain,(
% 6.33/1.24 ! [X0] : (ordinal(X0) | (~epsilon_connected(X0) | ~epsilon_transitive(X0)))),
% 6.33/1.24 inference(ennf_transformation,[],[f6])).
% 6.33/1.24 fof(f6,axiom,(
% 6.33/1.24 ! [X0] : ((epsilon_connected(X0) & epsilon_transitive(X0)) => ordinal(X0))),
% 6.33/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_ordinal1)).
% 6.33/1.24 fof(f27424,plain,(
% 6.33/1.24 epsilon_transitive(union(sK3))),
% 6.33/1.24 inference(subsumption_resolution,[],[f27412,f171])).
% 6.33/1.24 fof(f171,plain,(
% 6.33/1.24 ( ! [X0] : (~subset(sK4(X0),X0) | epsilon_transitive(X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f99])).
% 6.33/1.24 fof(f99,plain,(
% 6.33/1.24 ! [X0] : ((epsilon_transitive(X0) | (~subset(sK4(X0),X0) & in(sK4(X0),X0))) & (! [X2] : (subset(X2,X0) | ~in(X2,X0)) | ~epsilon_transitive(X0)))),
% 6.33/1.24 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f97,f98])).
% 6.33/1.24 fof(f98,plain,(
% 6.33/1.24 ! [X0] : (? [X1] : (~subset(X1,X0) & in(X1,X0)) => (~subset(sK4(X0),X0) & in(sK4(X0),X0)))),
% 6.33/1.24 introduced(choice_axiom,[])).
% 6.33/1.24 fof(f97,plain,(
% 6.33/1.24 ! [X0] : ((epsilon_transitive(X0) | ? [X1] : (~subset(X1,X0) & in(X1,X0))) & (! [X2] : (subset(X2,X0) | ~in(X2,X0)) | ~epsilon_transitive(X0)))),
% 6.33/1.24 inference(rectify,[],[f96])).
% 6.33/1.24 fof(f96,plain,(
% 6.33/1.24 ! [X0] : ((epsilon_transitive(X0) | ? [X1] : (~subset(X1,X0) & in(X1,X0))) & (! [X1] : (subset(X1,X0) | ~in(X1,X0)) | ~epsilon_transitive(X0)))),
% 6.33/1.24 inference(nnf_transformation,[],[f68])).
% 6.33/1.24 fof(f68,plain,(
% 6.33/1.24 ! [X0] : (epsilon_transitive(X0) <=> ! [X1] : (subset(X1,X0) | ~in(X1,X0)))),
% 6.33/1.24 inference(ennf_transformation,[],[f9])).
% 6.33/1.24 fof(f9,axiom,(
% 6.33/1.24 ! [X0] : (epsilon_transitive(X0) <=> ! [X1] : (in(X1,X0) => subset(X1,X0)))),
% 6.33/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1)).
% 6.33/1.24 fof(f27412,plain,(
% 6.33/1.24 epsilon_transitive(union(sK3)) | subset(sK4(union(sK3)),union(sK3))),
% 6.33/1.24 inference(resolution,[],[f27400,f187])).
% 6.33/1.24 fof(f187,plain,(
% 6.33/1.24 ( ! [X0,X1] : (~in(X0,X1) | subset(X0,union(X1))) )),
% 6.33/1.24 inference(cnf_transformation,[],[f76])).
% 6.33/1.24 fof(f76,plain,(
% 6.33/1.24 ! [X0,X1] : (subset(X0,union(X1)) | ~in(X0,X1))),
% 6.33/1.24 inference(ennf_transformation,[],[f45])).
% 6.33/1.24 fof(f45,axiom,(
% 6.33/1.24 ! [X0,X1] : (in(X0,X1) => subset(X0,union(X1)))),
% 6.33/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_zfmisc_1)).
% 6.33/1.24 fof(f27400,plain,(
% 6.33/1.24 in(sK4(union(sK3)),sK3) | epsilon_transitive(union(sK3))),
% 6.33/1.24 inference(subsumption_resolution,[],[f27399,f1099])).
% 6.33/1.24 fof(f1099,plain,(
% 6.33/1.24 ~empty(sK3)),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f1047,f204])).
% 6.33/1.24 fof(f204,plain,(
% 6.33/1.24 ( ! [X0,X1] : (~in(X0,X1) | ~empty(X1)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f84])).
% 6.33/1.24 fof(f84,plain,(
% 6.33/1.24 ! [X0,X1] : (~empty(X1)
% 6.33/1.24 | ~in(X0,X1))),
% 6.33/1.24 inference(ennf_transformation,[],[f43])).
% 6.33/1.24 fof(f43,axiom,(
% 6.33/1.24 ! [X0,X1] : ~(empty(X1) & in(X0,X1))),
% 6.33/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole)).
% 6.33/1.24 fof(f1047,plain,(
% 6.33/1.24 in(sK9(sK3,sK7(union(sK3))),sK3)),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f929,f197])).
% 6.33/1.24 fof(f197,plain,(
% 6.33/1.24 ( ! [X0,X1] : (~sP1(X0,X1) | in(sK9(X0,X1),X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f116])).
% 6.33/1.24 fof(f929,plain,(
% 6.33/1.24 sP1(sK3,sK7(union(sK3)))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f518,f234,f192])).
% 6.33/1.24 fof(f518,plain,(
% 6.33/1.24 in(sK7(union(sK3)),union(sK3))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f262,f181,f184])).
% 6.33/1.24 fof(f184,plain,(
% 6.33/1.24 ( ! [X0,X1] : (~element(X0,X1) | empty(X1) | in(X0,X1)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f73])).
% 6.33/1.24 fof(f73,plain,(
% 6.33/1.24 ! [X0,X1] : (in(X0,X1) | empty(X1) | ~element(X0,X1))),
% 6.33/1.24 inference(flattening,[],[f72])).
% 6.33/1.24 fof(f72,plain,(
% 6.33/1.24 ! [X0,X1] : ((in(X0,X1) | empty(X1)) | ~element(X0,X1))),
% 6.33/1.24 inference(ennf_transformation,[],[f36])).
% 6.33/1.24 fof(f36,axiom,(
% 6.33/1.24 ! [X0,X1] : (element(X0,X1) => (in(X0,X1) | empty(X1)))),
% 6.33/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset)).
% 6.33/1.24 fof(f181,plain,(
% 6.33/1.24 ( ! [X0] : (element(sK7(X0),X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f107])).
% 6.33/1.24 fof(f107,plain,(
% 6.33/1.24 ! [X0] : element(sK7(X0),X0)),
% 6.33/1.24 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f13,f106])).
% 6.33/1.24 fof(f106,plain,(
% 6.33/1.24 ! [X0] : (? [X1] : element(X1,X0) => element(sK7(X0),X0))),
% 6.33/1.24 introduced(choice_axiom,[])).
% 6.33/1.24 fof(f13,axiom,(
% 6.33/1.24 ! [X0] : ? [X1] : element(X1,X0)),
% 6.33/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1)).
% 6.33/1.24 fof(f262,plain,(
% 6.33/1.24 ~empty(union(sK3))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f261,f165])).
% 6.33/1.24 fof(f165,plain,(
% 6.33/1.24 ( ! [X0] : (~empty(X0) | sP0(X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f89])).
% 6.33/1.24 fof(f89,plain,(
% 6.33/1.24 ! [X0] : (sP0(X0) | ~empty(X0))),
% 6.33/1.24 inference(definition_folding,[],[f63,f88])).
% 6.33/1.24 fof(f88,plain,(
% 6.33/1.24 ! [X0] : ((ordinal(X0) & epsilon_connected(X0) & epsilon_transitive(X0)) | ~sP0(X0))),
% 6.33/1.24 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])).
% 6.33/1.24 fof(f63,plain,(
% 6.33/1.24 ! [X0] : ((ordinal(X0) & epsilon_connected(X0) & epsilon_transitive(X0)) | ~empty(X0))),
% 6.33/1.24 inference(ennf_transformation,[],[f7])).
% 6.33/1.24 fof(f7,axiom,(
% 6.33/1.24 ! [X0] : (empty(X0) => (ordinal(X0) & epsilon_connected(X0) & epsilon_transitive(X0)))),
% 6.33/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_ordinal1)).
% 6.33/1.24 fof(f261,plain,(
% 6.33/1.24 ~sP0(union(sK3))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f144,f164])).
% 6.33/1.24 fof(f164,plain,(
% 6.33/1.24 ( ! [X0] : (~sP0(X0) | ordinal(X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f95])).
% 6.33/1.24 fof(f95,plain,(
% 6.33/1.24 ! [X0] : ((ordinal(X0) & epsilon_connected(X0) & epsilon_transitive(X0)) | ~sP0(X0))),
% 6.33/1.24 inference(nnf_transformation,[],[f88])).
% 6.33/1.24 fof(f27399,plain,(
% 6.33/1.24 epsilon_transitive(union(sK3)) | empty(sK3) | in(sK4(union(sK3)),sK3)),
% 6.33/1.24 inference(resolution,[],[f27392,f184])).
% 6.33/1.24 fof(f27392,plain,(
% 6.33/1.24 element(sK4(union(sK3)),sK3) | epsilon_transitive(union(sK3))),
% 6.33/1.24 inference(duplicate_literal_removal,[],[f27356])).
% 6.33/1.24 fof(f27356,plain,(
% 6.33/1.24 element(sK4(union(sK3)),sK3) | epsilon_transitive(union(sK3)) | epsilon_transitive(union(sK3))),
% 6.33/1.24 inference(resolution,[],[f27348,f1247])).
% 6.33/1.24 fof(f1247,plain,(
% 6.33/1.24 ( ! [X0] : (in(sK4(union(X0)),sK9(X0,sK4(union(X0)))) | epsilon_transitive(union(X0))) )),
% 6.33/1.24 inference(resolution,[],[f1221,f196])).
% 6.33/1.24 fof(f1221,plain,(
% 6.33/1.24 ( ! [X0] : (sP1(X0,sK4(union(X0))) | epsilon_transitive(union(X0))) )),
% 6.33/1.24 inference(resolution,[],[f930,f170])).
% 6.33/1.24 fof(f170,plain,(
% 6.33/1.24 ( ! [X0] : (in(sK4(X0),X0) | epsilon_transitive(X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f99])).
% 6.33/1.24 fof(f27348,plain,(
% 6.33/1.24 ( ! [X0] : (~in(X0,sK9(sK3,sK4(union(sK3)))) | element(X0,sK3) | epsilon_transitive(union(sK3))) )),
% 6.33/1.24 inference(resolution,[],[f27346,f205])).
% 6.33/1.24 fof(f205,plain,(
% 6.33/1.24 ( ! [X2,X0,X1] : (~element(X1,powerset(X2)) | element(X0,X2) | ~in(X0,X1)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f86])).
% 6.33/1.24 fof(f86,plain,(
% 6.33/1.24 ! [X0,X1,X2] : (element(X0,X2) | ~element(X1,powerset(X2)) | ~in(X0,X1))),
% 6.33/1.24 inference(flattening,[],[f85])).
% 6.33/1.24 fof(f85,plain,(
% 6.33/1.24 ! [X0,X1,X2] : (element(X0,X2) | (~element(X1,powerset(X2)) | ~in(X0,X1)))),
% 6.33/1.24 inference(ennf_transformation,[],[f40])).
% 6.33/1.24 fof(f40,axiom,(
% 6.33/1.24 ! [X0,X1,X2] : ((element(X1,powerset(X2)) & in(X0,X1)) => element(X0,X2))),
% 6.33/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset)).
% 6.33/1.24 fof(f27346,plain,(
% 6.33/1.24 element(sK9(sK3,sK4(union(sK3))),powerset(sK3)) | epsilon_transitive(union(sK3))),
% 6.33/1.24 inference(resolution,[],[f27216,f202])).
% 6.33/1.24 fof(f202,plain,(
% 6.33/1.24 ( ! [X0,X1] : (~subset(X0,X1) | element(X0,powerset(X1))) )),
% 6.33/1.24 inference(cnf_transformation,[],[f118])).
% 6.33/1.24 fof(f118,plain,(
% 6.33/1.24 ! [X0,X1] : ((element(X0,powerset(X1)) | ~subset(X0,X1)) & (subset(X0,X1) | ~element(X0,powerset(X1))))),
% 6.33/1.24 inference(nnf_transformation,[],[f39])).
% 6.33/1.24 fof(f39,axiom,(
% 6.33/1.24 ! [X0,X1] : (element(X0,powerset(X1)) <=> subset(X0,X1))),
% 6.33/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset)).
% 6.33/1.24 fof(f27216,plain,(
% 6.33/1.24 subset(sK9(sK3,sK4(union(sK3))),sK3) | epsilon_transitive(union(sK3))),
% 6.33/1.24 inference(resolution,[],[f4108,f246])).
% 6.33/1.24 fof(f246,plain,(
% 6.33/1.24 epsilon_transitive(sK3)),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f143,f156])).
% 6.33/1.24 fof(f156,plain,(
% 6.33/1.24 ( ! [X0] : (~ordinal(X0) | epsilon_transitive(X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f57])).
% 6.33/1.24 fof(f57,plain,(
% 6.33/1.24 ! [X0] : ((epsilon_connected(X0) & epsilon_transitive(X0)) | ~ordinal(X0))),
% 6.33/1.24 inference(ennf_transformation,[],[f3])).
% 6.33/1.24 fof(f3,axiom,(
% 6.33/1.24 ! [X0] : (ordinal(X0) => (epsilon_connected(X0) & epsilon_transitive(X0)))),
% 6.33/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1)).
% 6.33/1.24 fof(f143,plain,(
% 6.33/1.24 ordinal(sK3)),
% 6.33/1.24 inference(cnf_transformation,[],[f94])).
% 6.33/1.24 fof(f94,plain,(
% 6.33/1.24 ~ordinal(union(sK3)) & ordinal(sK3)),
% 6.33/1.24 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f56,f93])).
% 6.33/1.24 fof(f93,plain,(
% 6.33/1.24 ? [X0] : (~ordinal(union(X0)) & ordinal(X0)) => (~ordinal(union(sK3)) & ordinal(sK3))),
% 6.33/1.24 introduced(choice_axiom,[])).
% 6.33/1.24 fof(f56,plain,(
% 6.33/1.24 ? [X0] : (~ordinal(union(X0)) & ordinal(X0))),
% 6.33/1.24 inference(ennf_transformation,[],[f38])).
% 6.33/1.24 fof(f38,negated_conjecture,(
% 6.33/1.24 ~! [X0] : (ordinal(X0) => ordinal(union(X0)))),
% 6.33/1.24 inference(negated_conjecture,[],[f37])).
% 6.33/1.24 fof(f37,conjecture,(
% 6.33/1.24 ! [X0] : (ordinal(X0) => ordinal(union(X0)))),
% 6.33/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_ordinal1)).
% 6.33/1.24 fof(f4108,plain,(
% 6.33/1.24 ( ! [X0] : (~epsilon_transitive(X0) | subset(sK9(X0,sK4(union(X0))),X0) | epsilon_transitive(union(X0))) )),
% 6.33/1.24 inference(resolution,[],[f1246,f169])).
% 6.33/1.24 fof(f169,plain,(
% 6.33/1.24 ( ! [X2,X0] : (~in(X2,X0) | subset(X2,X0) | ~epsilon_transitive(X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f99])).
% 6.33/1.24 fof(f1246,plain,(
% 6.33/1.24 ( ! [X0] : (in(sK9(X0,sK4(union(X0))),X0) | epsilon_transitive(union(X0))) )),
% 6.33/1.24 inference(resolution,[],[f1221,f197])).
% 6.33/1.24 fof(f144,plain,(
% 6.33/1.24 ~ordinal(union(sK3))),
% 6.33/1.24 inference(cnf_transformation,[],[f94])).
% 6.33/1.24 fof(f28290,plain,(
% 6.33/1.24 ~in(sK6(union(sK3)),sK9(sK3,sK6(union(sK3))))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f27432,f28231,f183])).
% 6.33/1.24 fof(f183,plain,(
% 6.33/1.24 ( ! [X0,X1] : (~in(X0,X1) | ordinal(X0) | ~ordinal(X1)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f71])).
% 6.33/1.24 fof(f71,plain,(
% 6.33/1.24 ! [X0,X1] : (ordinal(X0) | ~in(X0,X1) | ~ordinal(X1))),
% 6.33/1.24 inference(flattening,[],[f70])).
% 6.33/1.24 fof(f70,plain,(
% 6.33/1.24 ! [X0,X1] : ((ordinal(X0) | ~in(X0,X1)) | ~ordinal(X1))),
% 6.33/1.24 inference(ennf_transformation,[],[f34])).
% 6.33/1.24 fof(f34,axiom,(
% 6.33/1.24 ! [X0,X1] : (ordinal(X1) => (in(X0,X1) => ordinal(X0)))),
% 6.33/1.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1)).
% 6.33/1.24 fof(f28231,plain,(
% 6.33/1.24 ~ordinal(sK6(union(sK3)))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f27493,f27495,f27494,f28194,f158])).
% 6.33/1.24 fof(f158,plain,(
% 6.33/1.24 ( ! [X0,X1] : (~ordinal(X1) | X0 = X1 | in(X0,X1) | in(X1,X0) | ~ordinal(X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f59])).
% 6.33/1.24 fof(f59,plain,(
% 6.33/1.24 ! [X0] : (! [X1] : (in(X1,X0) | X0 = X1 | in(X0,X1) | ~ordinal(X1)) | ~ordinal(X0))),
% 6.33/1.24 inference(flattening,[],[f58])).
% 6.33/1.24 fof(f58,plain,(
% 6.33/1.24 ! [X0] : (! [X1] : ((in(X1,X0) | X0 = X1 | in(X0,X1)) | ~ordinal(X1)) | ~ordinal(X0))),
% 6.33/1.24 inference(ennf_transformation,[],[f35])).
% 6.33/1.24 fof(f35,axiom,(
% 6.33/1.24 ! [X0] : (ordinal(X0) => ! [X1] : (ordinal(X1) => ~(~in(X1,X0) & X0 != X1 & ~in(X0,X1))))),
% 6.33/1.24 file('/export/starexec% (27115)Memory used [KB]: 16647
% 6.33/1.24 /sandbox2/benchmark/theBenchmark.p',t24_ordinal1)).
% 6.33/1.24 fof(f28194,plain,(
% 6.33/1.24 ordinal(sK5(union(sK3)))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f27431,f27468,f183])).
% 6.33/1.24 fof(f27468,plain,(
% 6.33/1.24 in(sK5(union(sK3)),sK9(sK3,sK5(union(sK3))))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f27433,f1257])).
% 6.33/1.24 fof(f1257,plain,(
% 6.33/1.24 ( ! [X0] : (in(sK5(union(X0)),sK9(X0,sK5(union(X0)))) | epsilon_connected(union(X0))) )),
% 6.33/1.24 inference(resolution,[],[f1222,f196])).
% 6.33/1.24 fof(f1222,plain,(
% 6.33/1.24 ( ! [X0] : (sP1(X0,sK5(union(X0))) | epsilon_connected(union(X0))) )),
% 6.33/1.24 inference(resolution,[],[f930,f173])).
% 6.33/1.24 fof(f173,plain,(
% 6.33/1.24 ( ! [X0] : (in(sK5(X0),X0) | epsilon_connected(X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f103])).
% 6.33/1.24 fof(f27431,plain,(
% 6.33/1.24 ordinal(sK9(sK3,sK5(union(sK3))))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f27424,f13739])).
% 6.33/1.24 fof(f13739,plain,(
% 6.33/1.24 ~epsilon_transitive(union(sK3)) | ordinal(sK9(sK3,sK5(union(sK3))))),
% 6.33/1.24 inference(subsumption_resolution,[],[f13738,f144])).
% 6.33/1.24 fof(f13738,plain,(
% 6.33/1.24 ordinal(sK9(sK3,sK5(union(sK3)))) | ordinal(union(sK3)) | ~epsilon_transitive(union(sK3))),
% 6.33/1.24 inference(resolution,[],[f13648,f166])).
% 6.33/1.24 fof(f13648,plain,(
% 6.33/1.24 epsilon_connected(union(sK3)) | ordinal(sK9(sK3,sK5(union(sK3))))),
% 6.33/1.24 inference(resolution,[],[f4224,f143])).
% 6.33/1.24 fof(f4224,plain,(
% 6.33/1.24 ( ! [X0] : (~ordinal(X0) | ordinal(sK9(X0,sK5(union(X0)))) | epsilon_connected(union(X0))) )),
% 6.33/1.24 inference(resolution,[],[f1256,f183])).
% 6.33/1.24 fof(f1256,plain,(
% 6.33/1.24 ( ! [X0] : (in(sK9(X0,sK5(union(X0))),X0) | epsilon_connected(union(X0))) )),
% 6.33/1.24 inference(resolution,[],[f1222,f197])).
% 6.33/1.24 fof(f27494,plain,(
% 6.33/1.24 sK5(union(sK3)) != sK6(union(sK3))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f27433,f176])).
% 6.33/1.24 fof(f176,plain,(
% 6.33/1.24 ( ! [X0] : (sK5(X0) != sK6(X0) | epsilon_connected(X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f103])).
% 6.33/1.24 fof(f27495,plain,(
% 6.33/1.24 ~in(sK6(union(sK3)),sK5(union(sK3)))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f27433,f177])).
% 6.33/1.24 fof(f177,plain,(
% 6.33/1.24 ( ! [X0] : (~in(sK6(X0),sK5(X0)) | epsilon_connected(X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f103])).
% 6.33/1.24 fof(f27493,plain,(
% 6.33/1.24 ~in(sK5(union(sK3)),sK6(union(sK3)))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f27433,f175])).
% 6.33/1.24 fof(f175,plain,(
% 6.33/1.24 ( ! [X0] : (~in(sK5(X0),sK6(X0)) | epsilon_connected(X0)) )),
% 6.33/1.24 inference(cnf_transformation,[],[f103])).
% 6.33/1.24 fof(f27432,plain,(
% 6.33/1.24 ordinal(sK9(sK3,sK6(union(sK3))))),
% 6.33/1.24 inference(unit_resulting_resolution,[],[f27424,f13878])).
% 6.33/1.24 fof(f13878,plain,(
% 6.33/1.24 ~epsilon_transitive(union(sK3)) | ordinal(sK9(sK3,sK6(union(sK3))))),
% 6.33/1.24 inference(subsumption_resolution,[],[f13877,f144])).
% 6.33/1.24 fof(f13877,plain,(
% 6.33/1.24 ordinal(sK9(sK3,sK6(union(sK3)))) | ordinal(union(sK3)) | ~epsilon_transitive(union(sK3))),
% 6.33/1.24 inference(resolution,[],[f13786,f166])).
% 6.33/1.24 fof(f13786,plain,(
% 6.33/1.24 epsilon_connected(union(sK3)) | ordinal(sK9(sK3,sK6(union(sK3))))),
% 6.33/1.24 inference(resolution,[],[f4346,f143])).
% 6.33/1.24 fof(f4346,plain,(
% 6.33/1.24 ( ! [X0] : (~ordinal(X0) | ordinal(sK9(X0,sK6(union(X0)))) | epsilon_connected(union(X0))) )),
% 6.33/1.24 inference(resolution,[],[f1266,f183])).
% 6.33/1.24 fof(f1266,plain,(
% 6.33/1.24 ( ! [X0] : (in(sK9(X0,sK6(union(X0))),X0) | epsilon_connected(union(X0))) )),
% 6.33/1.24 inference(resolution,[],[f1223,f197])).
% 6.33/1.24 % SZS output end Proof for theBenchmark
% 6.33/1.24 % (27119)------------------------------
% 6.33/1.24 % (27119)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.33/1.24 % (27119)Termination reason: Refutation
% 6.33/1.24
% 6.33/1.24 % (27119)Memory used [KB]: 8836
% 6.33/1.24 % (27119)Time elapsed: 0.890 s
% 6.33/1.24 % (27119)Instructions burned: 1711 (million)
% 6.33/1.24 % (27119)------------------------------
% 6.33/1.24 % (27119)------------------------------
% 6.33/1.24 % (27115)Time elapsed: 0.892 s
% 6.33/1.24 % (27115)Instructions burned: 1834 (million)
% 6.33/1.24 % (27115)------------------------------
% 6.33/1.24 % (27115)------------------------------
% 6.33/1.24 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.33/1.24 ???
% 6.33/1.24 ???
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% 6.33/1.24 % (27112)Success in time 0.906 s
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%------------------------------------------------------------------------------