TSTP Solution File: KLE085+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE085+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 17:29:05 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 29 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 9 ~; 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f197,plain,
$false,
inference(subsumption_resolution,[],[f196,f67]) ).
fof(f67,plain,
one != sF3,
inference(definition_folding,[],[f63,f66,f65,f64]) ).
fof(f64,plain,
sF1 = antidomain(sK0),
introduced(function_definition,[]) ).
fof(f65,plain,
sF2 = antidomain(sF1),
introduced(function_definition,[]) ).
fof(f66,plain,
sF3 = addition(sF2,one),
introduced(function_definition,[]) ).
fof(f63,plain,
one != addition(antidomain(antidomain(sK0)),one),
inference(definition_unfolding,[],[f62,f43]) ).
fof(f43,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f62,plain,
one != addition(domain(sK0),one),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
one != addition(domain(sK0),one),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f36,f41]) ).
fof(f41,plain,
( ? [X0] : one != addition(domain(X0),one)
=> one != addition(domain(sK0),one) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0] : one != addition(domain(X0),one),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
~ ! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X3] : one = addition(domain(X3),one),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f196,plain,
one = sF3,
inference(backward_demodulation,[],[f66,f188]) ).
fof(f188,plain,
one = addition(sF2,one),
inference(superposition,[],[f141,f95]) ).
fof(f95,plain,
one = addition(sF2,sF1),
inference(forward_demodulation,[],[f88,f65]) ).
fof(f88,plain,
one = addition(antidomain(sF1),sF1),
inference(superposition,[],[f54,f64]) ).
fof(f54,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/benchmark/theBenchmark.p',domain3) ).
fof(f141,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f59,f50]) ).
fof(f50,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f59,plain,
! [X2,X0,X1] : addition(X2,addition(X0,X1)) = addition(addition(X2,X0),X1),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] : addition(X2,addition(X0,X1)) = addition(addition(X2,X0),X1),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X2,X1,X0] : addition(addition(X0,X2),X1) = addition(X0,addition(X2,X1)),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE085+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:37:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (904)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.48 % (895)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.49 % (884)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (886)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (884)First to succeed.
% 0.19/0.51 % (884)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (884)------------------------------
% 0.19/0.51 % (884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (884)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (884)Memory used [KB]: 5500
% 0.19/0.51 % (884)Time elapsed: 0.093 s
% 0.19/0.51 % (884)Instructions burned: 10 (million)
% 0.19/0.51 % (884)------------------------------
% 0.19/0.51 % (884)------------------------------
% 0.19/0.51 % (879)Success in time 0.161 s
%------------------------------------------------------------------------------