TSTP Solution File: KLE060+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE060+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n013.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 : Thu Aug 31 05:36:38 EDT 2023
% Result : Theorem 0.21s 0.59s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 63 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 109 (; 105 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8486,plain,
$false,
inference(trivial_inequality_removal,[],[f8485]) ).
fof(f8485,plain,
domain(multiplication(domain(sK0),sK1)) != domain(multiplication(domain(sK0),sK1)),
inference(backward_demodulation,[],[f29,f8399]) ).
fof(f8399,plain,
! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(X0),domain(X1)),
inference(forward_demodulation,[],[f8341,f7393]) ).
fof(f7393,plain,
! [X54,X53] : domain(multiplication(domain(X54),X53)) = multiplication(domain(multiplication(domain(X54),X53)),domain(X53)),
inference(superposition,[],[f7301,f4121]) ).
fof(f4121,plain,
! [X0,X1] : addition(X1,multiplication(domain(X0),X1)) = X1,
inference(forward_demodulation,[],[f4041,f35]) ).
fof(f35,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.ibTi8IIa6U/Vampire---4.8_16063',multiplicative_left_identity) ).
fof(f4041,plain,
! [X0,X1] : multiplication(one,X1) = addition(X1,multiplication(domain(X0),X1)),
inference(superposition,[],[f3904,f48]) ).
fof(f48,plain,
! [X6] : one = addition(one,domain(X6)),
inference(superposition,[],[f39,f37]) ).
fof(f37,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox/tmp/tmp.ibTi8IIa6U/Vampire---4.8_16063',domain3) ).
fof(f39,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.ibTi8IIa6U/Vampire---4.8_16063',additive_commutativity) ).
fof(f3904,plain,
! [X24,X25] : multiplication(addition(one,X25),X24) = addition(X24,multiplication(X25,X24)),
inference(superposition,[],[f45,f35]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.ibTi8IIa6U/Vampire---4.8_16063',left_distributivity) ).
fof(f7301,plain,
! [X83,X84] : domain(X84) = multiplication(domain(X84),domain(addition(X83,X84))),
inference(forward_demodulation,[],[f7300,f34]) ).
fof(f34,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/tmp/tmp.ibTi8IIa6U/Vampire---4.8_16063',multiplicative_right_identity) ).
fof(f7300,plain,
! [X83,X84] : multiplication(domain(X84),domain(addition(X83,X84))) = multiplication(domain(X84),one),
inference(forward_demodulation,[],[f7299,f48]) ).
fof(f7299,plain,
! [X83,X84] : multiplication(domain(X84),domain(addition(X83,X84))) = multiplication(domain(X84),addition(one,domain(X83))),
inference(forward_demodulation,[],[f7298,f1784]) ).
fof(f1784,plain,
! [X2,X3] : multiplication(X2,addition(one,X3)) = addition(X2,multiplication(X2,X3)),
inference(superposition,[],[f44,f34]) ).
fof(f44,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.ibTi8IIa6U/Vampire---4.8_16063',right_distributivity) ).
fof(f7298,plain,
! [X83,X84] : addition(domain(X84),multiplication(domain(X84),domain(X83))) = multiplication(domain(X84),domain(addition(X83,X84))),
inference(forward_demodulation,[],[f7155,f112]) ).
fof(f112,plain,
! [X1] : domain(X1) = domain(domain(X1)),
inference(forward_demodulation,[],[f104,f35]) ).
fof(f104,plain,
! [X1] : domain(multiplication(one,X1)) = domain(domain(X1)),
inference(superposition,[],[f41,f35]) ).
fof(f41,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/tmp/tmp.ibTi8IIa6U/Vampire---4.8_16063',domain2) ).
fof(f7155,plain,
! [X83,X84] : addition(domain(X84),multiplication(domain(domain(X84)),domain(X83))) = multiplication(domain(domain(X84)),domain(addition(X83,X84))),
inference(superposition,[],[f4321,f40]) ).
fof(f40,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox/tmp/tmp.ibTi8IIa6U/Vampire---4.8_16063',domain5) ).
fof(f4321,plain,
! [X10,X9] : addition(X9,multiplication(domain(X9),X10)) = multiplication(domain(X9),addition(X10,X9)),
inference(forward_demodulation,[],[f4283,f39]) ).
fof(f4283,plain,
! [X10,X9] : addition(multiplication(domain(X9),X10),X9) = multiplication(domain(X9),addition(X10,X9)),
inference(superposition,[],[f44,f4122]) ).
fof(f4122,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(backward_demodulation,[],[f38,f4121]) ).
fof(f38,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox/tmp/tmp.ibTi8IIa6U/Vampire---4.8_16063',domain1) ).
fof(f8341,plain,
! [X0,X1] : multiplication(domain(X0),domain(X1)) = multiplication(domain(multiplication(domain(X0),X1)),domain(X1)),
inference(superposition,[],[f7262,f41]) ).
fof(f7262,plain,
! [X54,X53] : multiplication(domain(X54),X53) = multiplication(domain(multiplication(domain(X54),X53)),X53),
inference(forward_demodulation,[],[f7261,f1915]) ).
fof(f1915,plain,
! [X54,X53] : domain(X53) = domain(addition(X53,multiplication(domain(X53),X54))),
inference(forward_demodulation,[],[f1914,f112]) ).
fof(f1914,plain,
! [X54,X53] : domain(addition(X53,multiplication(domain(X53),X54))) = domain(domain(X53)),
inference(forward_demodulation,[],[f1885,f189]) ).
fof(f189,plain,
! [X8,X9] : domain(X9) = domain(multiplication(X9,addition(one,X8))),
inference(forward_demodulation,[],[f188,f34]) ).
fof(f188,plain,
! [X8,X9] : domain(multiplication(X9,addition(one,X8))) = domain(multiplication(X9,one)),
inference(forward_demodulation,[],[f179,f41]) ).
fof(f179,plain,
! [X8,X9] : domain(multiplication(X9,addition(one,X8))) = domain(multiplication(X9,domain(one))),
inference(superposition,[],[f41,f136]) ).
fof(f136,plain,
! [X6] : domain(one) = domain(addition(one,X6)),
inference(superposition,[],[f126,f48]) ).
fof(f126,plain,
! [X2,X3] : domain(addition(X3,X2)) = domain(addition(X3,domain(X2))),
inference(forward_demodulation,[],[f122,f40]) ).
fof(f122,plain,
! [X2,X3] : domain(addition(X3,domain(X2))) = addition(domain(X3),domain(X2)),
inference(superposition,[],[f40,f112]) ).
fof(f1885,plain,
! [X54,X53] : domain(addition(X53,multiplication(domain(X53),X54))) = domain(multiplication(domain(X53),addition(one,X54))),
inference(superposition,[],[f127,f1784]) ).
fof(f127,plain,
! [X4,X5] : domain(addition(X4,X5)) = domain(addition(domain(X4),X5)),
inference(forward_demodulation,[],[f123,f40]) ).
fof(f123,plain,
! [X4,X5] : domain(addition(domain(X4),X5)) = addition(domain(X4),domain(X5)),
inference(superposition,[],[f40,f112]) ).
fof(f7261,plain,
! [X54,X53] : multiplication(domain(multiplication(domain(X54),X53)),X53) = multiplication(domain(addition(X54,multiplication(domain(X54),X53))),X53),
inference(forward_demodulation,[],[f7260,f40]) ).
fof(f7260,plain,
! [X54,X53] : multiplication(domain(multiplication(domain(X54),X53)),X53) = multiplication(addition(domain(X54),domain(multiplication(domain(X54),X53))),X53),
inference(forward_demodulation,[],[f7141,f45]) ).
fof(f7141,plain,
! [X54,X53] : multiplication(domain(multiplication(domain(X54),X53)),X53) = addition(multiplication(domain(X54),X53),multiplication(domain(multiplication(domain(X54),X53)),X53)),
inference(superposition,[],[f4321,f4121]) ).
fof(f29,plain,
domain(multiplication(domain(sK0),sK1)) != multiplication(domain(sK0),domain(sK1)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
domain(multiplication(domain(sK0),sK1)) != multiplication(domain(sK0),domain(sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] : domain(multiplication(domain(X0),X1)) != multiplication(domain(X0),domain(X1))
=> domain(multiplication(domain(sK0),sK1)) != multiplication(domain(sK0),domain(sK1)) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] : domain(multiplication(domain(X0),X1)) != multiplication(domain(X0),domain(X1)),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(X0),domain(X1)),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] : domain(multiplication(domain(X3),X4)) = multiplication(domain(X3),domain(X4)),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4] : domain(multiplication(domain(X3),X4)) = multiplication(domain(X3),domain(X4)),
file('/export/starexec/sandbox/tmp/tmp.ibTi8IIa6U/Vampire---4.8_16063',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE060+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 10:57:46 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.ibTi8IIa6U/Vampire---4.8_16063
% 0.21/0.36 % (16170)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (16176)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.21/0.42 % (16174)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.21/0.42 % (16178)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.42 % (16175)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.21/0.42 % (16172)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.21/0.42 % (16171)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.21/0.42 % (16177)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.21/0.42 % (16176)Refutation not found, incomplete strategy% (16176)------------------------------
% 0.21/0.42 % (16176)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (16176)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (16176)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (16176)Memory used [KB]: 895
% 0.21/0.42 % (16176)Time elapsed: 0.003 s
% 0.21/0.42 % (16176)------------------------------
% 0.21/0.42 % (16176)------------------------------
% 0.21/0.48 % (16179)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency_375 on Vampire---4 for (375ds/0Mi)
% 0.21/0.49 % (16179)Refutation not found, incomplete strategy% (16179)------------------------------
% 0.21/0.49 % (16179)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.49 % (16179)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.49 % (16179)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49 % (16179)Memory used [KB]: 895
% 0.21/0.49 % (16179)Time elapsed: 0.003 s
% 0.21/0.49 % (16179)------------------------------
% 0.21/0.49 % (16179)------------------------------
% 0.21/0.52 % (16180)lrs-11_16_av=off:bs=on:bsr=on:drc=off:fsd=off:fsr=off:nm=4:sp=scramble:tgt=ground:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 0.21/0.59 % (16175)First to succeed.
% 0.21/0.59 % (16175)Refutation found. Thanks to Tanya!
% 0.21/0.59 % SZS status Theorem for Vampire---4
% 0.21/0.59 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.59 % (16175)------------------------------
% 0.21/0.59 % (16175)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.59 % (16175)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.59 % (16175)Termination reason: Refutation
% 0.21/0.59
% 0.21/0.59 % (16175)Memory used [KB]: 6908
% 0.21/0.59 % (16175)Time elapsed: 0.170 s
% 0.21/0.59 % (16175)------------------------------
% 0.21/0.59 % (16175)------------------------------
% 0.21/0.59 % (16170)Success in time 0.229 s
% 0.21/0.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------