TSTP Solution File: KLE025+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE025+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 : n010.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 17:28:50 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 29 unt; 0 def)
% Number of atoms : 124 ( 77 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 103 ( 31 ~; 23 |; 35 &)
% ( 5 <=>; 9 =>; 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 86 ( 74 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f559,plain,
$false,
inference(subsumption_resolution,[],[f558,f109]) ).
fof(f109,plain,
multiplication(sK1,sK2) != multiplication(sK1,multiplication(sK2,sK3)),
inference(superposition,[],[f53,f68]) ).
fof(f68,plain,
! [X2,X0,X1] : multiplication(X2,multiplication(X0,X1)) = multiplication(multiplication(X2,X0),X1),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] : multiplication(X2,multiplication(X0,X1)) = multiplication(multiplication(X2,X0),X1),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0,X2] : multiplication(X2,multiplication(X1,X0)) = multiplication(multiplication(X2,X1),X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X1,X0] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f53,plain,
multiplication(sK1,sK2) != multiplication(multiplication(sK1,sK2),sK3),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( test(sK3)
& multiplication(sK1,sK2) != multiplication(multiplication(sK1,sK2),sK3)
& zero = multiplication(multiplication(sK1,sK2),c(sK3))
& test(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f37,f38]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( test(X2)
& multiplication(X0,X1) != multiplication(multiplication(X0,X1),X2)
& zero = multiplication(multiplication(X0,X1),c(X2))
& test(X0) )
=> ( test(sK3)
& multiplication(sK1,sK2) != multiplication(multiplication(sK1,sK2),sK3)
& zero = multiplication(multiplication(sK1,sK2),c(sK3))
& test(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0,X1,X2] :
( test(X2)
& multiplication(X0,X1) != multiplication(multiplication(X0,X1),X2)
& zero = multiplication(multiplication(X0,X1),c(X2))
& test(X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
? [X1,X2,X0] :
( test(X0)
& multiplication(X1,X2) != multiplication(multiplication(X1,X2),X0)
& zero = multiplication(multiplication(X1,X2),c(X0))
& test(X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X2,X0,X1] :
( multiplication(X1,X2) != multiplication(multiplication(X1,X2),X0)
& zero = multiplication(multiplication(X1,X2),c(X0))
& test(X0)
& test(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X2,X0,X1] :
( ( test(X0)
& test(X1) )
=> ( zero = multiplication(multiplication(X1,X2),c(X0))
=> multiplication(X1,X2) = multiplication(multiplication(X1,X2),X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X5,X4,X3] :
( ( test(X4)
& test(X5) )
=> ( zero = multiplication(multiplication(X4,X3),c(X5))
=> multiplication(X4,X3) = multiplication(multiplication(X4,X3),X5) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X5,X4,X3] :
( ( test(X4)
& test(X5) )
=> ( zero = multiplication(multiplication(X4,X3),c(X5))
=> multiplication(X4,X3) = multiplication(multiplication(X4,X3),X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f558,plain,
multiplication(sK1,sK2) = multiplication(sK1,multiplication(sK2,sK3)),
inference(forward_demodulation,[],[f557,f63]) ).
fof(f63,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(f557,plain,
multiplication(sK1,multiplication(sK2,sK3)) = multiplication(sK1,multiplication(sK2,one)),
inference(forward_demodulation,[],[f554,f68]) ).
fof(f554,plain,
multiplication(sK1,multiplication(sK2,sK3)) = multiplication(multiplication(sK1,sK2),one),
inference(superposition,[],[f236,f495]) ).
fof(f495,plain,
one = addition(sK3,c(sK3)),
inference(resolution,[],[f91,f77]) ).
fof(f77,plain,
~ test(sK3),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f54,plain,
test(sK3),
inference(cnf_transformation,[],[f39]) ).
fof(f91,plain,
! [X1] :
( test(X1)
| one = addition(X1,c(X1)) ),
inference(forward_demodulation,[],[f90,f69]) ).
fof(f69,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,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/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f90,plain,
! [X1] :
( one = addition(c(X1),X1)
| test(X1) ),
inference(resolution,[],[f64,f80]) ).
fof(f80,plain,
! [X0] :
( complement(X0,c(X0))
| test(X0) ),
inference(consistent_polarity_flipping,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(equality_resolution,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f64,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( complement(X0,X1)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X1,X0) != one )
& ( ( zero = multiplication(X0,X1)
& zero = multiplication(X1,X0)
& addition(X1,X0) = one )
| ~ complement(X0,X1) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ( complement(X1,X0)
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| addition(X0,X1) != one )
& ( ( zero = multiplication(X1,X0)
& zero = multiplication(X0,X1)
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ( complement(X1,X0)
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| addition(X0,X1) != one )
& ( ( zero = multiplication(X1,X0)
& zero = multiplication(X0,X1)
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( complement(X1,X0)
<=> ( zero = multiplication(X1,X0)
& zero = multiplication(X0,X1)
& addition(X0,X1) = one ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] :
( ( one = addition(X3,X4)
& zero = multiplication(X3,X4)
& zero = multiplication(X4,X3) )
<=> complement(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f236,plain,
! [X8] : multiplication(sK1,multiplication(sK2,X8)) = multiplication(multiplication(sK1,sK2),addition(X8,c(sK3))),
inference(forward_demodulation,[],[f235,f68]) ).
fof(f235,plain,
! [X8] : multiplication(multiplication(sK1,sK2),X8) = multiplication(multiplication(sK1,sK2),addition(X8,c(sK3))),
inference(forward_demodulation,[],[f219,f55]) ).
fof(f55,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f219,plain,
! [X8] : addition(multiplication(multiplication(sK1,sK2),X8),zero) = multiplication(multiplication(sK1,sK2),addition(X8,c(sK3))),
inference(superposition,[],[f60,f52]) ).
fof(f52,plain,
zero = multiplication(multiplication(sK1,sK2),c(sK3)),
inference(cnf_transformation,[],[f39]) ).
fof(f60,plain,
! [X2,X0,X1] : multiplication(X1,addition(X0,X2)) = addition(multiplication(X1,X0),multiplication(X1,X2)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] : multiplication(X1,addition(X0,X2)) = addition(multiplication(X1,X0),multiplication(X1,X2)),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X2,X0] : addition(multiplication(X2,X1),multiplication(X2,X0)) = multiplication(X2,addition(X1,X0)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X1,X0] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE025+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % 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 : n010.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 00:15:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (19070)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)
% 0.19/0.49 % (19079)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)
% 0.19/0.50 % (19072)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)
% 0.19/0.50 % (19075)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (19075)Instruction limit reached!
% 0.19/0.50 % (19075)------------------------------
% 0.19/0.50 % (19075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (19075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (19075)Termination reason: Unknown
% 0.19/0.50 % (19075)Termination phase: Preprocessing 3
% 0.19/0.50
% 0.19/0.50 % (19075)Memory used [KB]: 895
% 0.19/0.50 % (19075)Time elapsed: 0.002 s
% 0.19/0.50 % (19075)Instructions burned: 2 (million)
% 0.19/0.50 % (19075)------------------------------
% 0.19/0.50 % (19075)------------------------------
% 0.19/0.50 % (19087)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)
% 0.19/0.51 % (19093)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (19073)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)
% 0.19/0.51 % (19069)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (19071)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (19081)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (19089)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (19076)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)
% 0.19/0.52 % (19096)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (19083)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)
% 0.19/0.52 % (19067)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)
% 0.19/0.52 % (19097)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)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (19068)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)
% 0.19/0.52 % (19088)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)
% 0.19/0.53 % (19074)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (19085)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (19077)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (19094)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (19074)Instruction limit reached!
% 0.19/0.53 % (19074)------------------------------
% 0.19/0.53 % (19074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19074)Termination reason: Unknown
% 0.19/0.53 % (19074)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (19074)Memory used [KB]: 5500
% 0.19/0.53 % (19074)Time elapsed: 0.100 s
% 0.19/0.53 % (19074)Instructions burned: 7 (million)
% 0.19/0.53 % (19074)------------------------------
% 0.19/0.53 % (19074)------------------------------
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (19091)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)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (19087)First to succeed.
% 0.19/0.53 % (19086)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 TRYING [4]
% 0.19/0.54 % (19090)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)
% 0.19/0.54 % (19084)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)
% 0.19/0.54 TRYING [4]
% 0.19/0.54 % (19080)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (19092)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (19082)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)
% 0.19/0.55 % (19095)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)
% 0.19/0.56 % (19087)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (19087)------------------------------
% 0.19/0.56 % (19087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (19087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (19087)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (19087)Memory used [KB]: 1407
% 0.19/0.56 % (19087)Time elapsed: 0.129 s
% 0.19/0.56 % (19087)Instructions burned: 27 (million)
% 0.19/0.56 % (19087)------------------------------
% 0.19/0.56 % (19087)------------------------------
% 0.19/0.56 % (19064)Success in time 0.204 s
%------------------------------------------------------------------------------