TSTP Solution File: KLE069+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE069+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 : n027.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 17:29:02 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 52 unt; 0 def)
% Number of atoms : 54 ( 53 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 : 5 ( 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 : 92 ( 86 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f398,plain,
$false,
inference(subsumption_resolution,[],[f397,f244]) ).
fof(f244,plain,
! [X12,X13] : addition(X13,multiplication(X13,domain(X12))) = X13,
inference(forward_demodulation,[],[f199,f50]) ).
fof(f50,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f199,plain,
! [X12,X13] : addition(multiplication(X13,one),multiplication(X13,domain(X12))) = multiplication(X13,one),
inference(superposition,[],[f49,f57]) ).
fof(f57,plain,
! [X0] : one = addition(one,domain(X0)),
inference(forward_demodulation,[],[f44,f54]) ).
fof(f54,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,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(f44,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f20]) ).
fof(f20,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(f49,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X2,X0,X1] : multiplication(X2,addition(X0,X1)) = addition(multiplication(X2,X0),multiplication(X2,X1)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X2,X0] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f397,plain,
addition(domain(sK0),multiplication(domain(sK0),domain(sK1))) != domain(sK0),
inference(backward_demodulation,[],[f56,f391]) ).
fof(f391,plain,
! [X11] : domain(X11) = multiplication(domain(X11),domain(X11)),
inference(superposition,[],[f165,f345]) ).
fof(f345,plain,
! [X2] : domain(domain(X2)) = domain(X2),
inference(backward_demodulation,[],[f177,f337]) ).
fof(f337,plain,
! [X0] : multiplication(domain(domain(X0)),X0) = X0,
inference(superposition,[],[f166,f165]) ).
fof(f166,plain,
! [X8,X9] : multiplication(X8,X9) = multiplication(domain(X8),multiplication(X8,X9)),
inference(backward_demodulation,[],[f162,f164]) ).
fof(f164,plain,
! [X14,X15] : addition(X15,multiplication(domain(X14),X15)) = X15,
inference(forward_demodulation,[],[f141,f47]) ).
fof(f47,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(f141,plain,
! [X14,X15] : multiplication(one,X15) = addition(multiplication(one,X15),multiplication(domain(X14),X15)),
inference(superposition,[],[f45,f57]) ).
fof(f45,plain,
! [X2,X0,X1] : addition(multiplication(X1,X2),multiplication(X0,X2)) = multiplication(addition(X1,X0),X2),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] : addition(multiplication(X1,X2),multiplication(X0,X2)) = multiplication(addition(X1,X0),X2),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X2,X0] : multiplication(addition(X2,X1),X0) = addition(multiplication(X2,X0),multiplication(X1,X0)),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X1,X0] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f162,plain,
! [X8,X9] : addition(multiplication(X8,X9),multiplication(domain(X8),multiplication(X8,X9))) = multiplication(domain(X8),multiplication(X8,X9)),
inference(forward_demodulation,[],[f139,f51]) ).
fof(f51,plain,
! [X2,X0,X1] : multiplication(multiplication(X2,X1),X0) = multiplication(X2,multiplication(X1,X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] : multiplication(multiplication(X2,X1),X0) = multiplication(X2,multiplication(X1,X0)),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X0,X2] : multiplication(X2,multiplication(X0,X1)) = multiplication(multiplication(X2,X0),X1),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f139,plain,
! [X8,X9] : addition(multiplication(X8,X9),multiplication(multiplication(domain(X8),X8),X9)) = multiplication(multiplication(domain(X8),X8),X9),
inference(superposition,[],[f45,f43]) ).
fof(f43,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] : multiplication(domain(X0),X0) = addition(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(f177,plain,
! [X2] : domain(domain(X2)) = domain(multiplication(domain(domain(X2)),X2)),
inference(superposition,[],[f52,f165]) ).
fof(f52,plain,
! [X0,X1] : domain(multiplication(X1,X0)) = domain(multiplication(X1,domain(X0))),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] : domain(multiplication(X1,X0)) = domain(multiplication(X1,domain(X0))),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0] : domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f165,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(backward_demodulation,[],[f43,f164]) ).
fof(f56,plain,
domain(sK0) != addition(multiplication(domain(sK0),domain(sK0)),multiplication(domain(sK0),domain(sK1))),
inference(forward_demodulation,[],[f40,f49]) ).
fof(f40,plain,
multiplication(domain(sK0),addition(domain(sK0),domain(sK1))) != domain(sK0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
multiplication(domain(sK0),addition(domain(sK0),domain(sK1))) != domain(sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f30,f31]) ).
fof(f31,plain,
( ? [X0,X1] : domain(X0) != multiplication(domain(X0),addition(domain(X0),domain(X1)))
=> multiplication(domain(sK0),addition(domain(sK0),domain(sK1))) != domain(sK0) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1] : domain(X0) != multiplication(domain(X0),addition(domain(X0),domain(X1))),
inference(rectify,[],[f29]) ).
fof(f29,plain,
? [X1,X0] : multiplication(domain(X1),addition(domain(X1),domain(X0))) != domain(X1),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ! [X0,X1] : multiplication(domain(X1),addition(domain(X1),domain(X0))) = domain(X1),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X4,X3] : domain(X3) = multiplication(domain(X3),addition(domain(X3),domain(X4))),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X4,X3] : domain(X3) = multiplication(domain(X3),addition(domain(X3),domain(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KLE069+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 00:40:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (16867)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.21/0.49 % (16881)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 (3000ds/467Mi)
% 0.21/0.50 % (16859)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.50 % (16872)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 (3000ds/75Mi)
% 0.21/0.51 % (16861)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 (3000ds/48Mi)
% 0.21/0.51 % (16885)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 (3000ds/177Mi)
% 0.21/0.51 % (16863)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.21/0.52 % (16864)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.52 % (16864)Instruction limit reached!
% 0.21/0.52 % (16864)------------------------------
% 0.21/0.52 % (16864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (16864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (16864)Termination reason: Unknown
% 0.21/0.52 % (16864)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (16864)Memory used [KB]: 5373
% 0.21/0.52 % (16864)Time elapsed: 0.113 s
% 0.21/0.52 % (16864)Instructions burned: 2 (million)
% 0.21/0.52 % (16864)------------------------------
% 0.21/0.52 % (16864)------------------------------
% 0.21/0.52 % (16857)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.52 % (16870)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.53 % (16880)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 (3000ds/498Mi)
% 0.21/0.53 % (16886)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.21/0.53 % (16874)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.21/0.53 % (16860)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.53 % (16863)Instruction limit reached!
% 0.21/0.53 % (16863)------------------------------
% 0.21/0.53 % (16863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (16863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (16863)Termination reason: Unknown
% 0.21/0.53 % (16863)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (16863)Memory used [KB]: 5500
% 0.21/0.53 % (16863)Time elapsed: 0.096 s
% 0.21/0.53 % (16863)Instructions burned: 9 (million)
% 0.21/0.53 % (16863)------------------------------
% 0.21/0.53 % (16863)------------------------------
% 0.21/0.53 % (16887)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 (3000ds/355Mi)
% 0.21/0.53 % (16881)First to succeed.
% 0.21/0.53 % (16866)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.53 % (16856)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 (3000ds/191324Mi)
% 0.21/0.53 % (16881)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (16881)------------------------------
% 0.21/0.53 % (16881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (16881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (16881)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (16881)Memory used [KB]: 5756
% 0.21/0.53 % (16881)Time elapsed: 0.087 s
% 0.21/0.53 % (16881)Instructions burned: 22 (million)
% 0.21/0.53 % (16881)------------------------------
% 0.21/0.53 % (16881)------------------------------
% 0.21/0.53 % (16852)Success in time 0.176 s
%------------------------------------------------------------------------------