TSTP Solution File: KLE022+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE022+3 : 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 : n007.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 17:28:49 EDT 2022
% Result : Theorem 1.95s 0.63s
% Output : Refutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 17 unt; 0 def)
% Number of atoms : 78 ( 47 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 69 ( 26 ~; 16 |; 16 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 53 ( 47 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f290,plain,
$false,
inference(subsumption_resolution,[],[f288,f66]) ).
fof(f66,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f288,plain,
sK1 != multiplication(sK1,one),
inference(superposition,[],[f145,f286]) ).
fof(f286,plain,
one = addition(sK2,c(sK2)),
inference(superposition,[],[f77,f275]) ).
fof(f275,plain,
one = addition(c(sK2),sK2),
inference(resolution,[],[f58,f81]) ).
fof(f81,plain,
complement(sK2,c(sK2)),
inference(resolution,[],[f78,f72]) ).
fof(f72,plain,
test(sK2),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))) != sK1
& test(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f51,f52]) ).
fof(f52,plain,
( ? [X0,X1] :
( addition(multiplication(X0,X1),multiplication(X0,c(X1))) != X0
& test(X1) )
=> ( addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))) != sK1
& test(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0,X1] :
( addition(multiplication(X0,X1),multiplication(X0,c(X1))) != X0
& test(X1) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
? [X1,X0] :
( addition(multiplication(X1,X0),multiplication(X1,c(X0))) != X1
& test(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X1,X0] :
( test(X0)
=> addition(multiplication(X1,X0),multiplication(X1,c(X0))) = X1 ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X4,X3] :
( test(X4)
=> addition(multiplication(X3,X4),multiplication(X3,c(X4))) = X3 ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X4,X3] :
( test(X4)
=> addition(multiplication(X3,X4),multiplication(X3,c(X4))) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f78,plain,
! [X1] :
( ~ test(X1)
| complement(X1,c(X1)) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( complement(X1,X0)
| c(X1) != X0
| ~ test(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( ( c(X1) = X0
| ~ complement(X1,X0) )
& ( complement(X1,X0)
| c(X1) != X0 ) )
| ~ test(X1) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( c(X1) = X0
<=> complement(X1,X0) )
| ~ test(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( test(X1)
=> ( c(X1) = X0
<=> complement(X1,X0) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X3] :
( test(X3)
=> ( complement(X3,X4)
<=> c(X3) = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f58,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( ( addition(X1,X0) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| addition(X1,X0) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) ) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( ( addition(X1,X0) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| addition(X1,X0) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( addition(X1,X0) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
<=> complement(X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] :
( ( zero = multiplication(X4,X3)
& zero = multiplication(X3,X4)
& one = addition(X3,X4) )
<=> complement(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f77,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f31]) ).
fof(f31,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/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f145,plain,
multiplication(sK1,addition(sK2,c(sK2))) != sK1,
inference(superposition,[],[f73,f63]) ).
fof(f63,plain,
! [X2,X0,X1] : addition(multiplication(X2,X0),multiplication(X2,X1)) = multiplication(X2,addition(X0,X1)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] : addition(multiplication(X2,X0),multiplication(X2,X1)) = multiplication(X2,addition(X0,X1)),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X1] : addition(multiplication(X1,X0),multiplication(X1,X2)) = multiplication(X1,addition(X0,X2)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f73,plain,
addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))) != sK1,
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE022+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % 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 : n007.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 00:07:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (19854)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)
% 0.20/0.57 % (19874)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.57 % (19866)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.57 % (19851)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)
% 1.57/0.58 % (19859)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.57/0.58 % (19855)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)
% 1.57/0.58 % (19871)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)
% 1.57/0.58 % (19865)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)
% 1.57/0.58 TRYING [1]
% 1.57/0.59 TRYING [2]
% 1.57/0.59 % (19853)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.57/0.59 % (19858)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)
% 1.57/0.59 % (19857)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.57/0.59 % (19857)Instruction limit reached!
% 1.57/0.59 % (19857)------------------------------
% 1.57/0.59 % (19857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59 % (19857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59 % (19857)Termination reason: Unknown
% 1.57/0.59 % (19857)Termination phase: Naming
% 1.57/0.59
% 1.57/0.59 % (19857)Memory used [KB]: 895
% 1.57/0.59 % (19857)Time elapsed: 0.002 s
% 1.57/0.59 % (19857)Instructions burned: 2 (million)
% 1.57/0.59 % (19857)------------------------------
% 1.57/0.59 % (19857)------------------------------
% 1.57/0.59 TRYING [1]
% 1.57/0.59 TRYING [2]
% 1.57/0.59 % (19872)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)
% 1.57/0.59 % (19862)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.57/0.59 % (19850)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)
% 1.57/0.60 % (19849)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)
% 1.57/0.60 TRYING [3]
% 1.95/0.60 % (19873)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.95/0.60 % (19851)First to succeed.
% 1.95/0.61 % (19852)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)
% 1.95/0.61 % (19864)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)
% 1.95/0.61 TRYING [1]
% 1.95/0.61 TRYING [3]
% 1.95/0.61 TRYING [2]
% 1.95/0.62 % (19869)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)
% 1.95/0.62 % (19875)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)
% 1.95/0.62 % (19856)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.95/0.62 % (19876)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)
% 1.95/0.62 TRYING [3]
% 1.95/0.62 % (19878)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)
% 1.95/0.62 % (19867)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.95/0.62 % (19877)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.95/0.62 % (19859)Also succeeded, but the first one will report.
% 1.95/0.62 % (19868)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)
% 1.95/0.63 % (19851)Refutation found. Thanks to Tanya!
% 1.95/0.63 % SZS status Theorem for theBenchmark
% 1.95/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.95/0.63 % (19851)------------------------------
% 1.95/0.63 % (19851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.63 % (19851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.63 % (19851)Termination reason: Refutation
% 1.95/0.63
% 1.95/0.63 % (19851)Memory used [KB]: 1151
% 1.95/0.63 % (19851)Time elapsed: 0.193 s
% 1.95/0.63 % (19851)Instructions burned: 13 (million)
% 1.95/0.63 % (19851)------------------------------
% 1.95/0.63 % (19851)------------------------------
% 1.95/0.63 % (19848)Success in time 0.273 s
%------------------------------------------------------------------------------