TSTP Solution File: KLE021+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE021+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 : n001.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 1.83s 0.64s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 101 ( 57 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 95 ( 37 ~; 27 |; 19 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 57 ( 51 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f296,plain,
$false,
inference(avatar_sat_refutation,[],[f292,f295]) ).
fof(f295,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f293,f54]) ).
fof(f54,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(f293,plain,
( multiplication(one,sK2) != sK2
| ~ spl3_1 ),
inference(backward_demodulation,[],[f135,f219]) ).
fof(f219,plain,
( one = addition(sK1,c(sK1))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl3_1
<=> one = addition(sK1,c(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f135,plain,
sK2 != multiplication(addition(sK1,c(sK1)),sK2),
inference(superposition,[],[f62,f53]) ).
fof(f53,plain,
! [X2,X0,X1] : multiplication(addition(X2,X1),X0) = addition(multiplication(X2,X0),multiplication(X1,X0)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] : multiplication(addition(X2,X1),X0) = addition(multiplication(X2,X0),multiplication(X1,X0)),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X0,X2,X1] : addition(multiplication(X1,X0),multiplication(X2,X0)) = multiplication(addition(X1,X2),X0),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f62,plain,
addition(multiplication(sK1,sK2),multiplication(c(sK1),sK2)) != sK2,
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( addition(multiplication(sK1,sK2),multiplication(c(sK1),sK2)) != sK2
& test(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f39,f40]) ).
fof(f40,plain,
( ? [X0,X1] :
( addition(multiplication(X0,X1),multiplication(c(X0),X1)) != X1
& test(X0) )
=> ( addition(multiplication(sK1,sK2),multiplication(c(sK1),sK2)) != sK2
& test(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0,X1] :
( addition(multiplication(X0,X1),multiplication(c(X0),X1)) != X1
& test(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
? [X1,X0] :
( addition(multiplication(X1,X0),multiplication(c(X1),X0)) != X0
& test(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ! [X1,X0] :
( test(X1)
=> addition(multiplication(X1,X0),multiplication(c(X1),X0)) = X0 ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X4] :
( test(X4)
=> addition(multiplication(X4,X3),multiplication(c(X4),X3)) = X3 ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X4] :
( test(X4)
=> addition(multiplication(X4,X3),multiplication(c(X4),X3)) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f292,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f291,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f290,f220]) ).
fof(f220,plain,
( one != addition(sK1,c(sK1))
| spl3_1 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f290,plain,
one = addition(sK1,c(sK1)),
inference(resolution,[],[f77,f61]) ).
fof(f61,plain,
test(sK1),
inference(cnf_transformation,[],[f41]) ).
fof(f77,plain,
! [X1] :
( ~ test(X1)
| one = addition(X1,c(X1)) ),
inference(forward_demodulation,[],[f76,f63]) ).
fof(f63,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f42]) ).
fof(f42,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(f76,plain,
! [X1] :
( one = addition(c(X1),X1)
| ~ test(X1) ),
inference(resolution,[],[f46,f66]) ).
fof(f66,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( ( complement(X0,X1)
| c(X0) != X1 )
& ( c(X0) = X1
| ~ complement(X0,X1) ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( complement(X0,X1)
<=> c(X0) = X1 )
| ~ test(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( test(X0)
=> ( complement(X0,X1)
<=> c(X0) = X1 ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( complement(X3,X4)
<=> c(X3) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f46,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( ( zero = multiplication(X1,X0)
& addition(X0,X1) = one
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) )
& ( complement(X1,X0)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X0,X1) ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ( ( zero = multiplication(X0,X1)
& addition(X1,X0) = one
& zero = multiplication(X1,X0) )
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| zero != multiplication(X0,X1)
| addition(X1,X0) != one
| zero != multiplication(X1,X0) ) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( ( ( zero = multiplication(X0,X1)
& addition(X1,X0) = one
& zero = multiplication(X1,X0) )
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| zero != multiplication(X0,X1)
| addition(X1,X0) != one
| zero != multiplication(X1,X0) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( ( zero = multiplication(X0,X1)
& addition(X1,X0) = one
& zero = multiplication(X1,X0) )
<=> complement(X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] :
( complement(X4,X3)
<=> ( one = addition(X3,X4)
& zero = multiplication(X3,X4)
& zero = multiplication(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE021+1 : 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
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:43:45 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.54 % (18910)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (18909)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)
% 0.20/0.55 % (18925)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)
% 0.20/0.56 % (18917)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)
% 0.20/0.56 % (18918)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)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.56 % (18910)Instruction limit reached!
% 0.20/0.56 % (18910)------------------------------
% 0.20/0.56 % (18910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (18926)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)
% 1.64/0.57 % (18910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (18910)Termination reason: Unknown
% 1.64/0.57 % (18910)Termination phase: Saturation
% 1.64/0.57
% 1.64/0.57 % (18910)Memory used [KB]: 5500
% 1.64/0.57 % (18910)Time elapsed: 0.136 s
% 1.64/0.57 % (18910)Instructions burned: 7 (million)
% 1.64/0.57 % (18910)------------------------------
% 1.64/0.57 % (18910)------------------------------
% 1.64/0.58 TRYING [4]
% 1.83/0.60 % (18908)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)
% 1.83/0.60 % (18907)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.60 % (18930)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)
% 1.83/0.61 % (18920)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.83/0.61 % (18903)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)
% 1.83/0.61 % (18922)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)
% 1.83/0.61 % (18906)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)
% 1.83/0.61 % (18931)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.83/0.61 % (18912)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)
% 1.83/0.61 % (18927)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.83/0.62 % (18924)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.83/0.62 % (18919)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)
% 1.83/0.62 % (18923)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)
% 1.83/0.62 % (18928)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.83/0.62 % (18914)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)
% 1.83/0.62 % (18911)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.83/0.62 % (18911)Instruction limit reached!
% 1.83/0.62 % (18911)------------------------------
% 1.83/0.62 % (18911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62 TRYING [1]
% 1.83/0.62 TRYING [2]
% 1.83/0.62 % (18932)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)
% 1.83/0.62 % (18911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62 % (18911)Termination reason: Unknown
% 1.83/0.62 % (18911)Termination phase: Blocked clause elimination
% 1.83/0.62
% 1.83/0.62 % (18911)Memory used [KB]: 895
% 1.83/0.62 % (18911)Time elapsed: 0.004 s
% 1.83/0.62 % (18911)Instructions burned: 2 (million)
% 1.83/0.62 % (18911)------------------------------
% 1.83/0.62 % (18911)------------------------------
% 1.83/0.62 % (18909)Instruction limit reached!
% 1.83/0.62 % (18909)------------------------------
% 1.83/0.62 % (18909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.62 % (18909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.62 % (18909)Termination reason: Unknown
% 1.83/0.62 % (18909)Termination phase: Finite model building SAT solving
% 1.83/0.62
% 1.83/0.62 % (18909)Memory used [KB]: 8699
% 1.83/0.62 % (18909)Time elapsed: 0.193 s
% 1.83/0.62 % (18909)Instructions burned: 52 (million)
% 1.83/0.62 % (18909)------------------------------
% 1.83/0.62 % (18909)------------------------------
% 1.83/0.62 % (18904)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)
% 1.83/0.62 TRYING [3]
% 1.83/0.63 TRYING [4]
% 1.83/0.63 % (18921)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.83/0.63 % (18915)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.83/0.63 % (18916)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.83/0.63 % (18905)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)
% 1.83/0.64 % (18924)First to succeed.
% 1.83/0.64 % (18922)Also succeeded, but the first one will report.
% 1.83/0.64 % (18924)Refutation found. Thanks to Tanya!
% 1.83/0.64 % SZS status Theorem for theBenchmark
% 1.83/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.64 % (18924)------------------------------
% 1.83/0.64 % (18924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.64 % (18924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.64 % (18924)Termination reason: Refutation
% 1.83/0.64
% 1.83/0.64 % (18924)Memory used [KB]: 5628
% 1.83/0.64 % (18924)Time elapsed: 0.201 s
% 1.83/0.64 % (18924)Instructions burned: 11 (million)
% 1.83/0.64 % (18924)------------------------------
% 1.83/0.64 % (18924)------------------------------
% 1.83/0.64 % (18902)Success in time 0.284 s
%------------------------------------------------------------------------------