TSTP Solution File: KLE007+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE007+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 : n020.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 17:28:43 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 19 unt; 0 def)
% Number of atoms : 91 ( 48 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 81 ( 28 ~; 16 |; 26 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 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 : 45 ( 37 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f158,plain,
$false,
inference(subsumption_resolution,[],[f157,f150]) ).
fof(f150,plain,
one = addition(sK1,c(sK1)),
inference(superposition,[],[f49,f145]) ).
fof(f145,plain,
one = addition(c(sK1),sK1),
inference(resolution,[],[f68,f79]) ).
fof(f79,plain,
complement(sK1,c(sK1)),
inference(resolution,[],[f72,f62]) ).
fof(f62,plain,
test(sK1),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( test(sK1)
& one != addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK2,c(sK2)),c(sK1)))
& test(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f41,f42]) ).
fof(f42,plain,
( ? [X0,X1] :
( test(X0)
& one != addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X1,c(X1)),c(X0)))
& test(X1) )
=> ( test(sK1)
& one != addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK2,c(sK2)),c(sK1)))
& test(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0,X1] :
( test(X0)
& one != addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X1,c(X1)),c(X0)))
& test(X1) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
? [X1,X0] :
( test(X1)
& one != addition(multiplication(addition(X0,c(X0)),X1),multiplication(addition(X0,c(X0)),c(X1)))
& test(X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
? [X0,X1] :
( one != addition(multiplication(addition(X0,c(X0)),X1),multiplication(addition(X0,c(X0)),c(X1)))
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(multiplication(addition(X0,c(X0)),X1),multiplication(addition(X0,c(X0)),c(X1))) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X4] :
( ( test(X4)
& test(X3) )
=> one = addition(multiplication(addition(X3,c(X3)),X4),multiplication(addition(X3,c(X3)),c(X4))) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X4] :
( ( test(X4)
& test(X3) )
=> one = addition(multiplication(addition(X3,c(X3)),X4),multiplication(addition(X3,c(X3)),c(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f72,plain,
! [X1] :
( ~ test(X1)
| complement(X1,c(X1)) ),
inference(equality_resolution,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ test(X1)
| complement(X1,X0)
| c(X1) != X0 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ test(X1)
| ( ( c(X1) = X0
| ~ complement(X1,X0) )
& ( complement(X1,X0)
| c(X1) != X0 ) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ test(X1)
| ( c(X1) = X0
<=> complement(X1,X0) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( test(X1)
=> ( c(X1) = X0
<=> complement(X1,X0) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X3] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f68,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( complement(X0,X1)
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| addition(X1,X0) != one )
& ( ( zero = multiplication(X1,X0)
& zero = multiplication(X0,X1)
& addition(X1,X0) = one )
| ~ complement(X0,X1) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( complement(X0,X1)
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| addition(X1,X0) != one )
& ( ( zero = multiplication(X1,X0)
& zero = multiplication(X0,X1)
& addition(X1,X0) = one )
| ~ complement(X0,X1) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( complement(X0,X1)
<=> ( zero = multiplication(X1,X0)
& zero = multiplication(X0,X1)
& addition(X1,X0) = one ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] :
( ( one = addition(X3,X4)
& zero = multiplication(X3,X4)
& zero = multiplication(X4,X3) )
<=> complement(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f49,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f25]) ).
fof(f25,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/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f157,plain,
one != addition(sK1,c(sK1)),
inference(forward_demodulation,[],[f156,f54]) ).
fof(f54,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f156,plain,
one != addition(multiplication(one,sK1),c(sK1)),
inference(forward_demodulation,[],[f155,f54]) ).
fof(f155,plain,
one != addition(multiplication(one,sK1),multiplication(one,c(sK1))),
inference(backward_demodulation,[],[f61,f154]) ).
fof(f154,plain,
one = addition(sK2,c(sK2)),
inference(superposition,[],[f49,f146]) ).
fof(f146,plain,
one = addition(c(sK2),sK2),
inference(resolution,[],[f68,f78]) ).
fof(f78,plain,
complement(sK2,c(sK2)),
inference(resolution,[],[f72,f60]) ).
fof(f60,plain,
test(sK2),
inference(cnf_transformation,[],[f43]) ).
fof(f61,plain,
one != addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK2,c(sK2)),c(sK1))),
inference(cnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE007+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % 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 : n020.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 00:23:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.51 % (25121)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (25131)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)
% 0.19/0.51 % (25131)First to succeed.
% 0.19/0.51 % (25139)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 % (25132)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 % (25119)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (25119)Instruction limit reached!
% 0.19/0.52 % (25119)------------------------------
% 0.19/0.52 % (25119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (25119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (25119)Termination reason: Unknown
% 0.19/0.52 % (25119)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (25119)Memory used [KB]: 5373
% 0.19/0.52 % (25119)Time elapsed: 0.002 s
% 0.19/0.52 % (25119)Instructions burned: 2 (million)
% 0.19/0.52 % (25119)------------------------------
% 0.19/0.52 % (25119)------------------------------
% 0.19/0.52 % (25113)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)
% 0.19/0.52 % (25125)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)
% 0.19/0.52 % (25137)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)
% 0.19/0.52 % (25111)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 % (25112)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)
% 0.19/0.53 % (25115)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (25133)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)
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (25138)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)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (25136)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (25124)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (25118)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 % (25114)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)
% 0.19/0.53 % (25116)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)
% 0.19/0.53 % (25117)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)
% 0.19/0.53 % (25118)Instruction limit reached!
% 0.19/0.53 % (25118)------------------------------
% 0.19/0.53 % (25118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25121)Also succeeded, but the first one will report.
% 0.19/0.53 % (25131)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (25131)------------------------------
% 0.19/0.53 % (25131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25131)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (25131)Memory used [KB]: 5628
% 0.19/0.53 % (25131)Time elapsed: 0.123 s
% 0.19/0.53 % (25131)Instructions burned: 8 (million)
% 0.19/0.53 % (25131)------------------------------
% 0.19/0.53 % (25131)------------------------------
% 0.19/0.53 % (25110)Success in time 0.179 s
%------------------------------------------------------------------------------