TSTP Solution File: KLE119+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE119+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 : n020.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 17:29:10 EDT 2022
% Result : Theorem 1.73s 0.60s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 44 ( 43 unt; 0 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 13 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 42 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f146,plain,
$false,
inference(subsumption_resolution,[],[f145,f66]) ).
fof(f66,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f145,plain,
antidomain(antidomain(sK0)) != addition(antidomain(antidomain(sK0)),zero),
inference(forward_demodulation,[],[f143,f99]) ).
fof(f99,plain,
zero = coantidomain(one),
inference(superposition,[],[f79,f80]) ).
fof(f80,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f79,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] : zero = multiplication(X3,coantidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain1) ).
fof(f143,plain,
addition(antidomain(antidomain(sK0)),coantidomain(one)) != antidomain(antidomain(sK0)),
inference(backward_demodulation,[],[f105,f136]) ).
fof(f136,plain,
one = coantidomain(zero),
inference(superposition,[],[f131,f66]) ).
fof(f131,plain,
one = addition(coantidomain(zero),zero),
inference(superposition,[],[f85,f99]) ).
fof(f85,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain3) ).
fof(f105,plain,
addition(antidomain(antidomain(sK0)),coantidomain(coantidomain(zero))) != antidomain(antidomain(sK0)),
inference(superposition,[],[f96,f72]) ).
fof(f72,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f96,plain,
addition(coantidomain(coantidomain(zero)),antidomain(antidomain(sK0))) != antidomain(antidomain(sK0)),
inference(forward_demodulation,[],[f95,f73]) ).
fof(f73,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f95,plain,
addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK1)))),zero))),antidomain(antidomain(sK0))) != antidomain(antidomain(sK0)),
inference(definition_unfolding,[],[f82,f90,f78,f78,f78]) ).
fof(f78,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f90,plain,
! [X0,X1] : backward_diamond(X1,X0) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(definition_unfolding,[],[f69,f71,f71]) ).
fof(f71,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3] : coantidomain(coantidomain(X3)) = codomain(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain4) ).
fof(f69,plain,
! [X0,X1] : backward_diamond(X1,X0) = codomain(multiplication(codomain(X0),X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] : backward_diamond(X1,X0) = codomain(multiplication(codomain(X0),X1)),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X1,X0] : codomain(multiplication(codomain(X1),X0)) = backward_diamond(X0,X1),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3,X4] : backward_diamond(X3,X4) = codomain(multiplication(codomain(X4),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',backward_diamond) ).
fof(f82,plain,
addition(backward_diamond(zero,domain(sK1)),domain(sK0)) != domain(sK0),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
addition(backward_diamond(zero,domain(sK1)),domain(sK0)) != domain(sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f57,f58]) ).
fof(f58,plain,
( ? [X0,X1] : domain(X0) != addition(backward_diamond(zero,domain(X1)),domain(X0))
=> addition(backward_diamond(zero,domain(sK1)),domain(sK0)) != domain(sK0) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
? [X0,X1] : domain(X0) != addition(backward_diamond(zero,domain(X1)),domain(X0)),
inference(rectify,[],[f49]) ).
fof(f49,plain,
? [X1,X0] : domain(X1) != addition(backward_diamond(zero,domain(X0)),domain(X1)),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
~ ! [X0,X1] : domain(X1) = addition(backward_diamond(zero,domain(X0)),domain(X1)),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X3,X4] : domain(X4) = addition(backward_diamond(zero,domain(X3)),domain(X4)),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X3,X4] : domain(X4) = addition(backward_diamond(zero,domain(X3)),domain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE119+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:32:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.49/0.57 % (29591)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.49/0.57 % (29607)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.73/0.58 % (29599)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.73/0.58 % (29611)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.73/0.59 % (29585)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.73/0.59 % (29591)Instruction limit reached!
% 1.73/0.59 % (29591)------------------------------
% 1.73/0.59 % (29591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.59 % (29591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.59 % (29591)Termination reason: Unknown
% 1.73/0.59 % (29591)Termination phase: Saturation
% 1.73/0.59
% 1.73/0.59 % (29591)Memory used [KB]: 5373
% 1.73/0.59 % (29591)Time elapsed: 0.004 s
% 1.73/0.59 % (29591)Instructions burned: 3 (million)
% 1.73/0.59 % (29591)------------------------------
% 1.73/0.59 % (29591)------------------------------
% 1.73/0.59 % (29588)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.73/0.59 % (29583)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.73/0.59 % (29586)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.73/0.60 % (29603)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.73/0.60 % (29589)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)
% 1.73/0.60 % (29603)First to succeed.
% 1.73/0.60 % (29603)Refutation found. Thanks to Tanya!
% 1.73/0.60 % SZS status Theorem for theBenchmark
% 1.73/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.60 % (29603)------------------------------
% 1.73/0.60 % (29603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60 % (29603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60 % (29603)Termination reason: Refutation
% 1.73/0.60
% 1.73/0.60 % (29603)Memory used [KB]: 5500
% 1.73/0.60 % (29603)Time elapsed: 0.168 s
% 1.73/0.60 % (29603)Instructions burned: 5 (million)
% 1.73/0.60 % (29603)------------------------------
% 1.73/0.60 % (29603)------------------------------
% 1.73/0.60 % (29582)Success in time 0.24 s
%------------------------------------------------------------------------------