TSTP Solution File: KLE009+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE009+2 : 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 : n008.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 17:28:44 EDT 2022
% Result : Theorem 1.90s 0.59s
% Output : Refutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 28 unt; 0 def)
% Number of atoms : 104 ( 61 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 92 ( 37 ~; 18 |; 26 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 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 : 65 ( 57 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f226,plain,
$false,
inference(trivial_inequality_removal,[],[f225]) ).
fof(f225,plain,
one != one,
inference(superposition,[],[f224,f127]) ).
fof(f127,plain,
one = addition(sK2,c(sK2)),
inference(resolution,[],[f91,f78]) ).
fof(f78,plain,
test(sK2),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( test(sK1)
& test(sK2)
& one != addition(addition(addition(multiplication(sK2,sK1),multiplication(sK2,c(sK1))),multiplication(c(sK2),sK1)),multiplication(c(sK2),c(sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f52,f53]) ).
fof(f53,plain,
( ? [X0,X1] :
( test(X0)
& test(X1)
& one != addition(addition(addition(multiplication(X1,X0),multiplication(X1,c(X0))),multiplication(c(X1),X0)),multiplication(c(X1),c(X0))) )
=> ( test(sK1)
& test(sK2)
& one != addition(addition(addition(multiplication(sK2,sK1),multiplication(sK2,c(sK1))),multiplication(c(sK2),sK1)),multiplication(c(sK2),c(sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1] :
( test(X0)
& test(X1)
& one != addition(addition(addition(multiplication(X1,X0),multiplication(X1,c(X0))),multiplication(c(X1),X0)),multiplication(c(X1),c(X0))) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
? [X1,X0] :
( test(X1)
& test(X0)
& one != addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
? [X1,X0] :
( one != addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))
& test(X0)
& test(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ! [X1,X0] :
( ( test(X0)
& test(X1) )
=> one = addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3,X4] :
( ( test(X3)
& test(X4) )
=> one = addition(addition(addition(multiplication(X3,X4),multiplication(X3,c(X4))),multiplication(c(X3),X4)),multiplication(c(X3),c(X4))) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3,X4] :
( ( test(X3)
& test(X4) )
=> one = addition(addition(addition(multiplication(X3,X4),multiplication(X3,c(X4))),multiplication(c(X3),X4)),multiplication(c(X3),c(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f91,plain,
! [X1] :
( ~ test(X1)
| one = addition(X1,c(X1)) ),
inference(forward_demodulation,[],[f90,f66]) ).
fof(f66,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f28]) ).
fof(f28,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(f90,plain,
! [X1] :
( one = addition(c(X1),X1)
| ~ test(X1) ),
inference(resolution,[],[f56,f80]) ).
fof(f80,plain,
! [X1] :
( complement(X1,c(X1))
| ~ test(X1) ),
inference(equality_resolution,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( complement(X1,X0)
| c(X1) != X0
| ~ test(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( ( c(X1) = X0
| ~ complement(X1,X0) )
& ( complement(X1,X0)
| c(X1) != X0 ) )
| ~ test(X1) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( c(X1) = X0
<=> complement(X1,X0) )
| ~ test(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,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(f56,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( ( zero = multiplication(X1,X0)
& zero = multiplication(X0,X1)
& addition(X1,X0) = one )
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| addition(X1,X0) != one ) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( ( zero = multiplication(X1,X0)
& zero = multiplication(X0,X1)
& addition(X1,X0) = one )
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| addition(X1,X0) != one ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( zero = multiplication(X1,X0)
& zero = multiplication(X0,X1)
& addition(X1,X0) = one )
<=> complement(X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] :
( complement(X4,X3)
<=> ( one = addition(X3,X4)
& zero = multiplication(X4,X3)
& zero = multiplication(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f224,plain,
one != addition(sK2,c(sK2)),
inference(forward_demodulation,[],[f223,f74]) ).
fof(f74,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(f223,plain,
one != addition(sK2,multiplication(c(sK2),one)),
inference(forward_demodulation,[],[f222,f126]) ).
fof(f126,plain,
one = addition(sK1,c(sK1)),
inference(resolution,[],[f91,f79]) ).
fof(f79,plain,
test(sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f222,plain,
one != addition(sK2,multiplication(c(sK2),addition(sK1,c(sK1)))),
inference(forward_demodulation,[],[f219,f72]) ).
fof(f72,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f219,plain,
one != addition(sK2,addition(multiplication(c(sK2),sK1),multiplication(c(sK2),c(sK1)))),
inference(superposition,[],[f130,f65]) ).
fof(f65,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X0,X2,X1] : addition(addition(X0,X2),X1) = addition(X0,addition(X2,X1)),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f130,plain,
one != addition(addition(sK2,multiplication(c(sK2),sK1)),multiplication(c(sK2),c(sK1))),
inference(forward_demodulation,[],[f129,f74]) ).
fof(f129,plain,
one != addition(addition(multiplication(sK2,one),multiplication(c(sK2),sK1)),multiplication(c(sK2),c(sK1))),
inference(forward_demodulation,[],[f128,f66]) ).
fof(f128,plain,
one != addition(addition(multiplication(c(sK2),sK1),multiplication(sK2,one)),multiplication(c(sK2),c(sK1))),
inference(backward_demodulation,[],[f82,f126]) ).
fof(f82,plain,
one != addition(addition(multiplication(c(sK2),sK1),multiplication(sK2,addition(sK1,c(sK1)))),multiplication(c(sK2),c(sK1))),
inference(backward_demodulation,[],[f81,f66]) ).
fof(f81,plain,
one != addition(addition(multiplication(sK2,addition(sK1,c(sK1))),multiplication(c(sK2),sK1)),multiplication(c(sK2),c(sK1))),
inference(forward_demodulation,[],[f77,f72]) ).
fof(f77,plain,
one != addition(addition(addition(multiplication(sK2,sK1),multiplication(sK2,c(sK1))),multiplication(c(sK2),sK1)),multiplication(c(sK2),c(sK1))),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KLE009+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 00:25:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.55 % (29506)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)
% 0.20/0.57 % (29515)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)
% 0.20/0.57 % (29514)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57 % (29526)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)
% 1.66/0.57 % (29530)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)
% 1.66/0.58 % (29523)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)
% 1.66/0.59 % (29514)First to succeed.
% 1.66/0.59 % (29506)Also succeeded, but the first one will report.
% 1.90/0.59 % (29518)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)
% 1.90/0.59 % (29517)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.90/0.59 % (29514)Refutation found. Thanks to Tanya!
% 1.90/0.59 % SZS status Theorem for theBenchmark
% 1.90/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.90/0.59 % (29514)------------------------------
% 1.90/0.59 % (29514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.59 % (29514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.59 % (29514)Termination reason: Refutation
% 1.90/0.59
% 1.90/0.59 % (29514)Memory used [KB]: 5628
% 1.90/0.59 % (29514)Time elapsed: 0.160 s
% 1.90/0.59 % (29514)Instructions burned: 10 (million)
% 1.90/0.59 % (29514)------------------------------
% 1.90/0.59 % (29514)------------------------------
% 1.90/0.59 % (29503)Success in time 0.241 s
%------------------------------------------------------------------------------