TSTP Solution File: KLE005+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE005+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 : n028.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 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 72 ( 43 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 70 ( 25 ~; 22 |; 14 &)
% ( 5 <=>; 4 =>; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,plain,
$false,
inference(subsumption_resolution,[],[f83,f47]) ).
fof(f47,plain,
zero != c(one),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
zero != c(one),
inference(flattening,[],[f18]) ).
fof(f18,negated_conjecture,
zero != c(one),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
zero = c(one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f83,plain,
zero = c(one),
inference(superposition,[],[f56,f72]) ).
fof(f72,plain,
zero = multiplication(c(one),one),
inference(unit_resulting_resolution,[],[f66,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,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,[],[f40]) ).
fof(f40,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,[],[f39]) ).
fof(f39,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,[],[f27]) ).
fof(f27,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] :
( complement(X4,X3)
<=> ( zero = multiplication(X3,X4)
& one = addition(X3,X4)
& zero = multiplication(X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f66,plain,
complement(one,c(one)),
inference(unit_resulting_resolution,[],[f65,f64]) ).
fof(f64,plain,
! [X1] :
( complement(X1,c(X1))
| ~ test(X1) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ test(X1)
| complement(X1,X0)
| c(X1) != X0 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ test(X1)
| ( ( complement(X1,X0)
| c(X1) != X0 )
& ( c(X1) = X0
| ~ complement(X1,X0) ) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ test(X1)
| ( complement(X1,X0)
<=> c(X1) = X0 ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( test(X1)
=> ( complement(X1,X0)
<=> c(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(f65,plain,
test(one),
inference(unit_resulting_resolution,[],[f47,f43]) ).
fof(f43,plain,
! [X0] :
( test(X0)
| zero = c(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( zero = c(X0)
| test(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ~ test(X0)
=> zero = c(X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] :
( ~ test(X3)
=> zero = c(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_4) ).
fof(f56,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE005+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 : n028.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 00:30:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (1152)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)
% 0.19/0.49 % (1160)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)
% 0.19/0.49 % (1160)First to succeed.
% 0.19/0.50 % (1160)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (1160)------------------------------
% 0.19/0.50 % (1160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (1160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (1160)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (1160)Memory used [KB]: 6012
% 0.19/0.50 % (1160)Time elapsed: 0.084 s
% 0.19/0.50 % (1160)Instructions burned: 3 (million)
% 0.19/0.50 % (1160)------------------------------
% 0.19/0.50 % (1160)------------------------------
% 0.19/0.50 % (1150)Success in time 0.148 s
%------------------------------------------------------------------------------