TSTP Solution File: KLE064+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE064+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 : 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 : Wed Aug 31 17:29:01 EDT 2022
% Result : Theorem 2.23s 0.65s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 26 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 40 ( 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f979,plain,
$false,
inference(trivial_inequality_removal,[],[f978]) ).
fof(f978,plain,
sK1 != sK1,
inference(backward_demodulation,[],[f214,f977]) ).
fof(f977,plain,
sK1 = multiplication(domain(sK0),sK1),
inference(forward_demodulation,[],[f943,f210]) ).
fof(f210,plain,
! [X18,X19] : addition(X19,multiplication(domain(X18),X19)) = X19,
inference(forward_demodulation,[],[f196,f43]) ).
fof(f43,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f196,plain,
! [X18,X19] : multiplication(one,X19) = addition(multiplication(one,X19),multiplication(domain(X18),X19)),
inference(superposition,[],[f46,f70]) ).
fof(f70,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f39,f51]) ).
fof(f51,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f39,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f46,plain,
! [X2,X0,X1] : multiplication(addition(X2,X0),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] : multiplication(addition(X2,X0),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X2,X0] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f943,plain,
multiplication(domain(sK0),sK1) = addition(sK1,multiplication(domain(sK0),sK1)),
inference(superposition,[],[f197,f211]) ).
fof(f211,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(backward_demodulation,[],[f40,f210]) ).
fof(f40,plain,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : addition(X0,multiplication(domain(X0),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/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f197,plain,
! [X20] : multiplication(domain(sK0),X20) = addition(multiplication(domain(sK1),X20),multiplication(domain(sK0),X20)),
inference(superposition,[],[f46,f47]) ).
fof(f47,plain,
domain(sK0) = addition(domain(sK1),domain(sK0)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( multiplication(domain(sK0),sK1) != addition(sK1,multiplication(domain(sK0),sK1))
& domain(sK0) = addition(domain(sK1),domain(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f29,f33]) ).
fof(f33,plain,
( ? [X0,X1] :
( addition(X1,multiplication(domain(X0),X1)) != multiplication(domain(X0),X1)
& addition(domain(X1),domain(X0)) = domain(X0) )
=> ( multiplication(domain(sK0),sK1) != addition(sK1,multiplication(domain(sK0),sK1))
& domain(sK0) = addition(domain(sK1),domain(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0,X1] :
( addition(X1,multiplication(domain(X0),X1)) != multiplication(domain(X0),X1)
& addition(domain(X1),domain(X0)) = domain(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X0,X1] :
( addition(domain(X1),domain(X0)) = domain(X0)
=> addition(X1,multiplication(domain(X0),X1)) = multiplication(domain(X0),X1) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X4,X3] :
( domain(X4) = addition(domain(X3),domain(X4))
=> multiplication(domain(X4),X3) = addition(X3,multiplication(domain(X4),X3)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X4,X3] :
( domain(X4) = addition(domain(X3),domain(X4))
=> multiplication(domain(X4),X3) = addition(X3,multiplication(domain(X4),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f214,plain,
sK1 != multiplication(domain(sK0),sK1),
inference(backward_demodulation,[],[f48,f210]) ).
fof(f48,plain,
multiplication(domain(sK0),sK1) != addition(sK1,multiplication(domain(sK0),sK1)),
inference(cnf_transformation,[],[f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE064+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 : n013.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 00:21:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.53 % (19404)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 1.40/0.54 % (19405)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.40/0.55 % (19412)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)
% 1.54/0.56 % (19421)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.54/0.56 % (19420)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)
% 1.54/0.56 % (19398)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)
% 1.54/0.56 % (19413)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.54/0.56 TRYING [3]
% 1.54/0.56 % (19414)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)
% 1.54/0.56 % (19408)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.54/0.56 % (19419)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.54/0.56 % (19405)Instruction limit reached!
% 1.54/0.56 % (19405)------------------------------
% 1.54/0.56 % (19405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (19405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (19405)Termination reason: Unknown
% 1.54/0.56 % (19405)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (19405)Memory used [KB]: 5500
% 1.54/0.56 % (19405)Time elapsed: 0.119 s
% 1.54/0.56 % (19405)Instructions burned: 7 (million)
% 1.54/0.56 % (19405)------------------------------
% 1.54/0.56 % (19405)------------------------------
% 1.54/0.57 TRYING [4]
% 1.54/0.57 % (19402)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.54/0.57 % (19418)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)
% 1.54/0.57 % (19424)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)
% 1.54/0.57 % (19423)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.54/0.57 % (19427)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.54/0.57 % (19406)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.54/0.57 % (19406)Instruction limit reached!
% 1.54/0.57 % (19406)------------------------------
% 1.54/0.57 % (19406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (19406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (19406)Termination reason: Unknown
% 1.54/0.57 % (19406)Termination phase: Saturation
% 1.54/0.57
% 1.54/0.57 % (19406)Memory used [KB]: 5373
% 1.54/0.57 % (19406)Time elapsed: 0.159 s
% 1.54/0.57 % (19406)Instructions burned: 2 (million)
% 1.54/0.57 % (19406)------------------------------
% 1.54/0.57 % (19406)------------------------------
% 1.54/0.57 % (19400)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)
% 1.54/0.57 TRYING [1]
% 1.54/0.57 TRYING [2]
% 1.54/0.58 % (19415)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.54/0.58 % (19403)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)
% 1.54/0.58 TRYING [3]
% 1.54/0.58 % (19401)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)
% 1.54/0.58 TRYING [1]
% 1.54/0.58 TRYING [2]
% 1.54/0.58 % (19425)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.54/0.58 TRYING [3]
% 1.54/0.58 % (19410)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.54/0.58 % (19416)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.54/0.58 % (19422)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.54/0.58 % (19407)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.54/0.58 % (19411)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.54/0.59 % (19417)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.54/0.59 % (19399)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.54/0.59 % (19409)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.54/0.60 TRYING [4]
% 1.54/0.60 % (19426)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.54/0.60 % (19404)Instruction limit reached!
% 1.54/0.60 % (19404)------------------------------
% 1.54/0.60 % (19404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.60 % (19404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.60 % (19404)Termination reason: Unknown
% 1.54/0.60 % (19404)Termination phase: Finite model building constraint generation
% 1.54/0.60
% 1.54/0.60 % (19404)Memory used [KB]: 8315
% 1.54/0.60 % (19404)Time elapsed: 0.161 s
% 1.54/0.60 % (19404)Instructions burned: 52 (million)
% 1.54/0.60 % (19404)------------------------------
% 1.54/0.60 % (19404)------------------------------
% 1.54/0.62 TRYING [4]
% 1.54/0.63 % (19400)Instruction limit reached!
% 1.54/0.63 % (19400)------------------------------
% 1.54/0.63 % (19400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.63 % (19400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.63 % (19400)Termination reason: Unknown
% 1.54/0.63 % (19400)Termination phase: Saturation
% 1.54/0.63
% 1.54/0.63 % (19400)Memory used [KB]: 1663
% 1.54/0.63 % (19400)Time elapsed: 0.219 s
% 1.54/0.63 % (19400)Instructions burned: 39 (million)
% 1.54/0.63 % (19400)------------------------------
% 1.54/0.63 % (19400)------------------------------
% 1.54/0.63 % (19412)Instruction limit reached!
% 1.54/0.63 % (19412)------------------------------
% 1.54/0.63 % (19412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.63 % (19412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.63 % (19412)Termination reason: Unknown
% 1.54/0.63 % (19412)Termination phase: Saturation
% 1.54/0.63
% 1.54/0.63 % (19412)Memory used [KB]: 6652
% 1.54/0.63 % (19412)Time elapsed: 0.045 s
% 1.54/0.63 % (19412)Instructions burned: 68 (million)
% 1.54/0.63 % (19412)------------------------------
% 1.54/0.63 % (19412)------------------------------
% 1.54/0.64 % (19407)Instruction limit reached!
% 1.54/0.64 % (19407)------------------------------
% 1.54/0.64 % (19407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.64 % (19399)Instruction limit reached!
% 1.54/0.64 % (19399)------------------------------
% 1.54/0.64 % (19399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.64 % (19415)Instruction limit reached!
% 1.54/0.64 % (19415)------------------------------
% 1.54/0.64 % (19415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.64 % (19415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.64 % (19415)Termination reason: Unknown
% 1.54/0.64 % (19415)Termination phase: Finite model building SAT solving
% 1.54/0.64
% 1.54/0.64 % (19415)Memory used [KB]: 8955
% 1.54/0.64 % (19415)Time elapsed: 0.171 s
% 1.54/0.64 % (19415)Instructions burned: 60 (million)
% 1.54/0.64 % (19415)------------------------------
% 1.54/0.64 % (19415)------------------------------
% 1.54/0.64 % (19407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.64 % (19407)Termination reason: Unknown
% 1.54/0.64 % (19407)Termination phase: Saturation
% 1.54/0.64
% 1.54/0.64 % (19407)Memory used [KB]: 1663
% 1.54/0.64 % (19407)Time elapsed: 0.178 s
% 1.54/0.64 % (19407)Instructions burned: 51 (million)
% 1.54/0.64 % (19407)------------------------------
% 1.54/0.64 % (19407)------------------------------
% 2.23/0.65 % (19399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (19399)Termination reason: Unknown
% 2.23/0.65 % (19399)Termination phase: Saturation
% 2.23/0.65
% 2.23/0.65 % (19399)Memory used [KB]: 6396
% 2.23/0.65 % (19399)Time elapsed: 0.187 s
% 2.23/0.65 % (19399)Instructions burned: 51 (million)
% 2.23/0.65 % (19399)------------------------------
% 2.23/0.65 % (19399)------------------------------
% 2.23/0.65 % (19427)First to succeed.
% 2.23/0.65 % (19427)Refutation found. Thanks to Tanya!
% 2.23/0.65 % SZS status Theorem for theBenchmark
% 2.23/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.65 % (19427)------------------------------
% 2.23/0.65 % (19427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (19427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (19427)Termination reason: Refutation
% 2.23/0.65
% 2.23/0.65 % (19427)Memory used [KB]: 6012
% 2.23/0.65 % (19427)Time elapsed: 0.239 s
% 2.23/0.65 % (19427)Instructions burned: 34 (million)
% 2.23/0.65 % (19427)------------------------------
% 2.23/0.65 % (19427)------------------------------
% 2.23/0.65 % (19397)Success in time 0.286 s
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