TSTP Solution File: KLE070+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE070+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 : n018.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 05:36:41 EDT 2023
% Result : Theorem 0.23s 0.47s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 21 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 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 : 28 (; 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1212,plain,
$false,
inference(trivial_inequality_removal,[],[f1211]) ).
fof(f1211,plain,
domain(sK0) != domain(sK0),
inference(forward_demodulation,[],[f1210,f34]) ).
fof(f34,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.o3uNPQ3x6t/Vampire---4.8_23572',multiplicative_right_identity) ).
fof(f1210,plain,
domain(sK0) != multiplication(domain(sK0),one),
inference(forward_demodulation,[],[f1190,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/sandbox2/tmp/tmp.o3uNPQ3x6t/Vampire---4.8_23572',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/sandbox2/tmp/tmp.o3uNPQ3x6t/Vampire---4.8_23572',additive_commutativity) ).
fof(f1190,plain,
domain(sK0) != multiplication(domain(sK0),addition(one,domain(sK1))),
inference(superposition,[],[f29,f727]) ).
fof(f727,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/sandbox2/tmp/tmp.o3uNPQ3x6t/Vampire---4.8_23572',right_distributivity) ).
fof(f29,plain,
domain(sK0) != addition(domain(sK0),multiplication(domain(sK0),domain(sK1))),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
domain(sK0) != addition(domain(sK0),multiplication(domain(sK0),domain(sK1))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] : domain(X0) != addition(domain(X0),multiplication(domain(X0),domain(X1)))
=> domain(sK0) != addition(domain(sK0),multiplication(domain(sK0),domain(sK1))) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1] : domain(X0) != addition(domain(X0),multiplication(domain(X0),domain(X1))),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1] : domain(X0) = addition(domain(X0),multiplication(domain(X0),domain(X1))),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] : domain(X3) = addition(domain(X3),multiplication(domain(X3),domain(X4))),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4] : domain(X3) = addition(domain(X3),multiplication(domain(X3),domain(X4))),
file('/export/starexec/sandbox2/tmp/tmp.o3uNPQ3x6t/Vampire---4.8_23572',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : KLE070+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n018.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 11:58:18 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.o3uNPQ3x6t/Vampire---4.8_23572
% 0.16/0.38 % (23831)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (23838)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)
% 0.23/0.44 % (23840)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)
% 0.23/0.44 % (23835)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)
% 0.23/0.44 % (23836)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)
% 0.23/0.44 % (23841)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)
% 0.23/0.44 % (23837)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)
% 0.23/0.44 % (23839)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)
% 0.23/0.44 % (23839)Refutation not found, incomplete strategy% (23839)------------------------------
% 0.23/0.44 % (23839)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (23839)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (23839)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.44
% 0.23/0.44 % (23839)Memory used [KB]: 895
% 0.23/0.44 % (23839)Time elapsed: 0.003 s
% 0.23/0.44 % (23839)------------------------------
% 0.23/0.44 % (23839)------------------------------
% 0.23/0.47 % (23840)First to succeed.
% 0.23/0.47 % (23840)Refutation found. Thanks to Tanya!
% 0.23/0.47 % SZS status Theorem for Vampire---4
% 0.23/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.47 % (23840)------------------------------
% 0.23/0.47 % (23840)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.47 % (23840)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.47 % (23840)Termination reason: Refutation
% 0.23/0.47
% 0.23/0.47 % (23840)Memory used [KB]: 1791
% 0.23/0.47 % (23840)Time elapsed: 0.031 s
% 0.23/0.47 % (23840)------------------------------
% 0.23/0.47 % (23840)------------------------------
% 0.23/0.47 % (23831)Success in time 0.09 s
% 0.23/0.47 23835 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.o3uNPQ3x6t/Vampire---4.8_23572
% 0.23/0.47 % (23835)------------------------------
% 0.23/0.47 % (23835)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.47 % (23835)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.47 % (23835)Termination reason: Unknown
% 0.23/0.47 % (23835)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (23835)Memory used [KB]: 5373
% 0.23/0.47 % (23835)Time elapsed: 0.034 s
% 0.23/0.47 % (23835)------------------------------
% 0.23/0.47 % (23835)------------------------------
% 0.23/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------