TSTP Solution File: KLE083+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE083+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 : 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 : Thu Aug 31 05:36:44 EDT 2023
% Result : Theorem 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 40 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 31 (; 29 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1074,plain,
$false,
inference(trivial_inequality_removal,[],[f1028]) ).
fof(f1028,plain,
sK0 != sK0,
inference(backward_demodulation,[],[f60,f1026]) ).
fof(f1026,plain,
sK0 = sF3,
inference(forward_demodulation,[],[f1025,f59]) ).
fof(f59,plain,
multiplication(sF2,sK0) = sF3,
introduced(function_definition,[]) ).
fof(f1025,plain,
sK0 = multiplication(sF2,sK0),
inference(forward_demodulation,[],[f1012,f41]) ).
fof(f41,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.oJyKHRDibI/Vampire---4.8_5056',multiplicative_left_identity) ).
fof(f1012,plain,
multiplication(sF2,sK0) = multiplication(one,sK0),
inference(superposition,[],[f926,f95]) ).
fof(f95,plain,
one = addition(sF1,sF2),
inference(forward_demodulation,[],[f94,f58]) ).
fof(f58,plain,
antidomain(sF1) = sF2,
introduced(function_definition,[]) ).
fof(f94,plain,
one = addition(sF1,antidomain(sF1)),
inference(forward_demodulation,[],[f87,f49]) ).
fof(f49,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.oJyKHRDibI/Vampire---4.8_5056',additive_commutativity) ).
fof(f87,plain,
one = addition(antidomain(sF1),sF1),
inference(superposition,[],[f48,f57]) ).
fof(f57,plain,
antidomain(sK0) = sF1,
introduced(function_definition,[]) ).
fof(f48,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox/tmp/tmp.oJyKHRDibI/Vampire---4.8_5056',domain3) ).
fof(f926,plain,
! [X33] : multiplication(addition(sF1,X33),sK0) = multiplication(X33,sK0),
inference(forward_demodulation,[],[f858,f68]) ).
fof(f68,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f49,f39]) ).
fof(f39,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/tmp/tmp.oJyKHRDibI/Vampire---4.8_5056',additive_identity) ).
fof(f858,plain,
! [X33] : multiplication(addition(sF1,X33),sK0) = addition(zero,multiplication(X33,sK0)),
inference(superposition,[],[f55,f64]) ).
fof(f64,plain,
zero = multiplication(sF1,sK0),
inference(superposition,[],[f44,f57]) ).
fof(f44,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox/tmp/tmp.oJyKHRDibI/Vampire---4.8_5056',domain1) ).
fof(f55,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.oJyKHRDibI/Vampire---4.8_5056',left_distributivity) ).
fof(f60,plain,
sK0 != sF3,
inference(definition_folding,[],[f56,f59,f58,f57]) ).
fof(f56,plain,
sK0 != multiplication(antidomain(antidomain(sK0)),sK0),
inference(definition_unfolding,[],[f36,f46]) ).
fof(f46,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox/tmp/tmp.oJyKHRDibI/Vampire---4.8_5056',domain4) ).
fof(f36,plain,
sK0 != multiplication(domain(sK0),sK0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
sK0 != multiplication(domain(sK0),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f34]) ).
fof(f34,plain,
( ? [X0] : multiplication(domain(X0),X0) != X0
=> sK0 != multiplication(domain(sK0),sK0) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0] : multiplication(domain(X0),X0) != X0,
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0] : multiplication(domain(X0),X0) = X0,
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X3] : multiplication(domain(X3),X3) = X3,
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X3] : multiplication(domain(X3),X3) = X3,
file('/export/starexec/sandbox/tmp/tmp.oJyKHRDibI/Vampire---4.8_5056',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : KLE083+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.35 % Computer : n031.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Aug 29 12:52:11 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.oJyKHRDibI/Vampire---4.8_5056
% 0.12/0.36 % (5166)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (5167)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)
% 0.19/0.42 % (5168)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)
% 0.19/0.42 % (5169)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)
% 0.19/0.42 % (5170)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)
% 0.19/0.42 % (5173)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)
% 0.19/0.42 % (5171)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)
% 0.19/0.42 % (5172)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)
% 0.19/0.42 % (5171)Refutation not found, incomplete strategy% (5171)------------------------------
% 0.19/0.42 % (5171)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.42 % (5171)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.42 % (5171)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.42
% 0.19/0.42 % (5171)Memory used [KB]: 895
% 0.19/0.42 % (5171)Time elapsed: 0.003 s
% 0.19/0.42 % (5171)------------------------------
% 0.19/0.42 % (5171)------------------------------
% 0.19/0.44 % (5169)First to succeed.
% 0.19/0.44 % (5169)Refutation found. Thanks to Tanya!
% 0.19/0.44 % SZS status Theorem for Vampire---4
% 0.19/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.44 % (5169)------------------------------
% 0.19/0.44 % (5169)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.44 % (5169)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.44 % (5169)Termination reason: Refutation
% 0.19/0.44
% 0.19/0.44 % (5169)Memory used [KB]: 1791
% 0.19/0.44 % (5169)Time elapsed: 0.026 s
% 0.19/0.44 % (5169)------------------------------
% 0.19/0.44 % (5169)------------------------------
% 0.19/0.44 % (5166)Success in time 0.079 s
% 0.19/0.44 5167 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.oJyKHRDibI/Vampire---4.8_5056
% 0.19/0.44 % (5167)------------------------------
% 0.19/0.44 % (5167)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.44 % (5167)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.44 % (5167)Termination reason: Unknown
% 0.19/0.44 % (5167)Termination phase: Saturation
% 0.19/0.44
% 0.19/0.44 % (5167)Memory used [KB]: 5373
% 0.19/0.44 % (5167)Time elapsed: 0.028 s
% 0.19/0.44 % (5167)------------------------------
% 0.19/0.44 % (5167)------------------------------
% 0.19/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------