TSTP Solution File: KLE006+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE006+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_uns --cores 0 -t %d %s
% Computer : n019.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 17:27:32 EDT 2022
% Result : Theorem 1.63s 0.56s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 75 ( 43 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 76 ( 27 ~; 20 |; 18 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f144,plain,
$false,
inference(subsumption_resolution,[],[f142,f45]) ).
fof(f45,plain,
one != addition(sK0,c(sK0)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( one != addition(sK0,c(sK0))
& test(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f30]) ).
fof(f30,plain,
( ? [X0] :
( one != addition(X0,c(X0))
& test(X0) )
=> ( one != addition(sK0,c(sK0))
& test(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0] :
( one != addition(X0,c(X0))
& test(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0] :
( test(X0)
=> one = addition(X0,c(X0)) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3] :
( test(X3)
=> one = addition(X3,c(X3)) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3] :
( test(X3)
=> one = addition(X3,c(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f142,plain,
one = addition(sK0,c(sK0)),
inference(superposition,[],[f60,f78]) ).
fof(f78,plain,
one = addition(c(sK0),sK0),
inference(resolution,[],[f67,f56]) ).
fof(f56,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( ( zero = multiplication(X0,X1)
& addition(X0,X1) = one
& zero = multiplication(X1,X0) )
| ~ complement(X1,X0) )
& ( complement(X1,X0)
| zero != multiplication(X0,X1)
| addition(X0,X1) != one
| zero != multiplication(X1,X0) ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ( ( zero = multiplication(X1,X0)
& addition(X1,X0) = one
& zero = multiplication(X0,X1) )
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| zero != multiplication(X1,X0)
| addition(X1,X0) != one
| zero != multiplication(X0,X1) ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ( ( zero = multiplication(X1,X0)
& addition(X1,X0) = one
& zero = multiplication(X0,X1) )
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| zero != multiplication(X1,X0)
| addition(X1,X0) != one
| zero != multiplication(X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ( zero = multiplication(X1,X0)
& addition(X1,X0) = one
& zero = multiplication(X0,X1) )
<=> complement(X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] :
( complement(X4,X3)
<=> ( zero = multiplication(X4,X3)
& zero = multiplication(X3,X4)
& one = addition(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f67,plain,
complement(sK0,c(sK0)),
inference(unit_resulting_resolution,[],[f44,f65]) ).
fof(f65,plain,
! [X1] :
( ~ test(X1)
| complement(X1,c(X1)) ),
inference(equality_resolution,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ test(X1)
| complement(X1,X0)
| c(X1) != X0 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ test(X1)
| ( ( c(X1) = X0
| ~ complement(X1,X0) )
& ( complement(X1,X0)
| c(X1) != X0 ) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ test(X1)
| ( c(X1) = X0
<=> complement(X1,X0) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( 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/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f44,plain,
test(sK0),
inference(cnf_transformation,[],[f31]) ).
fof(f60,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE006+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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:24:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (23171)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.45/0.55 % (23179)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.55 % (23170)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.45/0.55 % (23188)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.45/0.55 % (23170)First to succeed.
% 1.45/0.55 % (23178)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.45/0.55 % (23165)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.45/0.55 % (23164)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.45/0.55 % (23186)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.45/0.56 % (23172)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.45/0.56 % (23169)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.45/0.56 % (23164)Refutation not found, incomplete strategy% (23164)------------------------------
% 1.45/0.56 % (23164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (23164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (23164)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.56
% 1.45/0.56 % (23164)Memory used [KB]: 5884
% 1.45/0.56 % (23164)Time elapsed: 0.098 s
% 1.45/0.56 % (23164)Instructions burned: 2 (million)
% 1.45/0.56 % (23164)------------------------------
% 1.45/0.56 % (23164)------------------------------
% 1.45/0.56 % (23180)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.45/0.56 % (23177)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.45/0.56 % (23180)Instruction limit reached!
% 1.45/0.56 % (23180)------------------------------
% 1.45/0.56 % (23180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (23180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (23180)Termination reason: Unknown
% 1.45/0.56 % (23180)Termination phase: Finite model building preprocessing
% 1.45/0.56
% 1.45/0.56 % (23180)Memory used [KB]: 5884
% 1.45/0.56 % (23180)Time elapsed: 0.004 s
% 1.45/0.56 % (23180)Instructions burned: 3 (million)
% 1.45/0.56 % (23180)------------------------------
% 1.45/0.56 % (23180)------------------------------
% 1.45/0.56 % (23177)Instruction limit reached!
% 1.45/0.56 % (23177)------------------------------
% 1.45/0.56 % (23177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (23177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (23177)Termination reason: Unknown
% 1.45/0.56 % (23177)Termination phase: Saturation
% 1.45/0.56
% 1.45/0.56 % (23177)Memory used [KB]: 5884
% 1.45/0.56 % (23177)Time elapsed: 0.003 s
% 1.45/0.56 % (23177)Instructions burned: 3 (million)
% 1.45/0.56 % (23177)------------------------------
% 1.45/0.56 % (23177)------------------------------
% 1.45/0.56 % (23187)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.63/0.56 % (23169)Also succeeded, but the first one will report.
% 1.63/0.56 % (23187)Refutation not found, incomplete strategy% (23187)------------------------------
% 1.63/0.56 % (23187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.56 % (23187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.56 % (23187)Termination reason: Refutation not found, incomplete strategy
% 1.63/0.56
% 1.63/0.56 % (23187)Memory used [KB]: 5884
% 1.63/0.56 % (23187)Time elapsed: 0.141 s
% 1.63/0.56 % (23187)Instructions burned: 4 (million)
% 1.63/0.56 % (23187)------------------------------
% 1.63/0.56 % (23187)------------------------------
% 1.63/0.56 % (23170)Refutation found. Thanks to Tanya!
% 1.63/0.56 % SZS status Theorem for theBenchmark
% 1.63/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.56 % (23170)------------------------------
% 1.63/0.56 % (23170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.56 % (23170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.56 % (23170)Termination reason: Refutation
% 1.63/0.56
% 1.63/0.56 % (23170)Memory used [KB]: 6012
% 1.63/0.56 % (23170)Time elapsed: 0.119 s
% 1.63/0.56 % (23170)Instructions burned: 4 (million)
% 1.63/0.56 % (23170)------------------------------
% 1.63/0.56 % (23170)------------------------------
% 1.63/0.56 % (23162)Success in time 0.207 s
%------------------------------------------------------------------------------