TSTP Solution File: KLE007+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_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 1.64s 0.59s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 16 unt; 0 def)
% Number of atoms : 102 ( 49 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 97 ( 36 ~; 24 |; 25 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 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 : 41 ( 35 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f251,plain,
$false,
inference(avatar_sat_refutation,[],[f158,f250]) ).
fof(f250,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f249]) ).
fof(f249,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f239,f163]) ).
fof(f163,plain,
( one != addition(sK1,c(sK1))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f162,f63]) ).
fof(f63,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(f162,plain,
( one != addition(multiplication(one,sK1),c(sK1))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f161,f63]) ).
fof(f161,plain,
( one != addition(multiplication(one,sK1),multiplication(one,c(sK1)))
| ~ spl3_2 ),
inference(backward_demodulation,[],[f56,f138]) ).
fof(f138,plain,
( one = addition(sK0,c(sK0))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl3_2
<=> one = addition(sK0,c(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f56,plain,
one != addition(multiplication(addition(sK0,c(sK0)),sK1),multiplication(addition(sK0,c(sK0)),c(sK1))),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( test(sK1)
& one != addition(multiplication(addition(sK0,c(sK0)),sK1),multiplication(addition(sK0,c(sK0)),c(sK1)))
& test(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f30,f37]) ).
fof(f37,plain,
( ? [X0,X1] :
( test(X1)
& one != addition(multiplication(addition(X0,c(X0)),X1),multiplication(addition(X0,c(X0)),c(X1)))
& test(X0) )
=> ( test(sK1)
& one != addition(multiplication(addition(sK0,c(sK0)),sK1),multiplication(addition(sK0,c(sK0)),c(sK1)))
& test(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1] :
( test(X1)
& one != addition(multiplication(addition(X0,c(X0)),X1),multiplication(addition(X0,c(X0)),c(X1)))
& test(X0) ),
inference(flattening,[],[f29]) ).
fof(f29,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,[],[f19]) ).
fof(f19,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(f239,plain,
one = addition(sK1,c(sK1)),
inference(superposition,[],[f92,f53]) ).
fof(f53,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/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f92,plain,
one = addition(c(sK1),sK1),
inference(unit_resulting_resolution,[],[f73,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| addition(X0,X1) != one
| zero != multiplication(X1,X0) )
& ( ( zero = multiplication(X0,X1)
& addition(X0,X1) = one
& zero = multiplication(X1,X0) )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| addition(X0,X1) != one
| zero != multiplication(X1,X0) )
& ( ( zero = multiplication(X0,X1)
& addition(X0,X1) = one
& zero = multiplication(X1,X0) )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( zero = multiplication(X0,X1)
& addition(X0,X1) = one
& zero = multiplication(X1,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] :
( ( zero = multiplication(X3,X4)
& zero = multiplication(X4,X3)
& one = addition(X3,X4) )
<=> complement(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f73,plain,
complement(sK1,c(sK1)),
inference(unit_resulting_resolution,[],[f57,f69]) ).
fof(f69,plain,
! [X1] :
( complement(X1,c(X1))
| ~ test(X1) ),
inference(equality_resolution,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( complement(X1,X0)
| c(X1) != X0
| ~ test(X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( ( c(X1) = X0
| ~ complement(X1,X0) )
& ( complement(X1,X0)
| c(X1) != X0 ) )
| ~ test(X1) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( complement(X3,X4)
<=> c(X3) = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f57,plain,
test(sK1),
inference(cnf_transformation,[],[f38]) ).
fof(f158,plain,
spl3_2,
inference(avatar_split_clause,[],[f145,f137]) ).
fof(f145,plain,
one = addition(sK0,c(sK0)),
inference(superposition,[],[f53,f83]) ).
fof(f83,plain,
one = addition(c(sK0),sK0),
inference(unit_resulting_resolution,[],[f71,f47]) ).
fof(f71,plain,
complement(sK0,c(sK0)),
inference(unit_resulting_resolution,[],[f55,f69]) ).
fof(f55,plain,
test(sK0),
inference(cnf_transformation,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE007+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 00:24:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.54 % (23134)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.56 % (23141)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.64/0.57 % (23141)Refutation not found, incomplete strategy% (23141)------------------------------
% 1.64/0.57 % (23141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57 % (23141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (23141)Termination reason: Refutation not found, incomplete strategy
% 1.64/0.57
% 1.64/0.57 % (23141)Memory used [KB]: 5884
% 1.64/0.57 % (23141)Time elapsed: 0.140 s
% 1.64/0.57 % (23141)Instructions burned: 2 (million)
% 1.64/0.57 % (23141)------------------------------
% 1.64/0.57 % (23141)------------------------------
% 1.64/0.57 % (23133)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)
% 1.64/0.58 % (23133)Instruction limit reached!
% 1.64/0.58 % (23133)------------------------------
% 1.64/0.58 % (23133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.58 % (23152)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.64/0.58 % (23133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.58 % (23133)Termination reason: Unknown
% 1.64/0.58 % (23133)Termination phase: Saturation
% 1.64/0.58
% 1.64/0.58 % (23133)Memory used [KB]: 5884
% 1.64/0.58 % (23133)Time elapsed: 0.143 s
% 1.64/0.58 % (23133)Instructions burned: 3 (million)
% 1.64/0.58 % (23133)------------------------------
% 1.64/0.58 % (23133)------------------------------
% 1.64/0.58 % (23151)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.64/0.58 % (23134)First to succeed.
% 1.64/0.59 % (23134)Refutation found. Thanks to Tanya!
% 1.64/0.59 % SZS status Theorem for theBenchmark
% 1.64/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.59 % (23134)------------------------------
% 1.64/0.59 % (23134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (23134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59 % (23134)Termination reason: Refutation
% 1.64/0.59
% 1.64/0.59 % (23134)Memory used [KB]: 6140
% 1.64/0.59 % (23134)Time elapsed: 0.142 s
% 1.64/0.59 % (23134)Instructions burned: 11 (million)
% 1.64/0.59 % (23134)------------------------------
% 1.64/0.59 % (23134)------------------------------
% 1.64/0.59 % (23130)Success in time 0.231 s
%------------------------------------------------------------------------------