TSTP Solution File: KLE074+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE074+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 : n025.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 17:28:00 EDT 2022
% Result : Theorem 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 16 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,plain,
$false,
inference(trivial_inequality_removal,[],[f55]) ).
fof(f55,plain,
domain(multiplication(sK1,multiplication(sK2,domain(sK0)))) != domain(multiplication(sK1,multiplication(sK2,domain(sK0)))),
inference(forward_demodulation,[],[f54,f44]) ).
fof(f44,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X2,X1,X0] : multiplication(multiplication(X2,X1),X0) = multiplication(X2,multiplication(X1,X0)),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X1,X0] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f54,plain,
domain(multiplication(multiplication(sK1,sK2),domain(sK0))) != domain(multiplication(sK1,multiplication(sK2,domain(sK0)))),
inference(forward_demodulation,[],[f49,f53]) ).
fof(f53,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f49,plain,
domain(multiplication(multiplication(sK1,sK2),domain(sK0))) != domain(multiplication(sK1,domain(multiplication(sK2,domain(sK0))))),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
domain(multiplication(multiplication(sK1,sK2),domain(sK0))) != domain(multiplication(sK1,domain(multiplication(sK2,domain(sK0))))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f28,f34]) ).
fof(f34,plain,
( ? [X0,X1,X2] : domain(multiplication(multiplication(X1,X2),domain(X0))) != domain(multiplication(X1,domain(multiplication(X2,domain(X0)))))
=> domain(multiplication(multiplication(sK1,sK2),domain(sK0))) != domain(multiplication(sK1,domain(multiplication(sK2,domain(sK0))))) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0,X1,X2] : domain(multiplication(multiplication(X1,X2),domain(X0))) != domain(multiplication(X1,domain(multiplication(X2,domain(X0))))),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2] : domain(multiplication(multiplication(X1,X2),domain(X0))) = domain(multiplication(X1,domain(multiplication(X2,domain(X0))))),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X5,X3,X4] : domain(multiplication(multiplication(X3,X4),domain(X5))) = domain(multiplication(X3,domain(multiplication(X4,domain(X5))))),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X5,X3,X4] : domain(multiplication(multiplication(X3,X4),domain(X5))) = domain(multiplication(X3,domain(multiplication(X4,domain(X5))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KLE074+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 00:34:14 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.22/0.47 % (28813)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)
% 0.22/0.47 % (28804)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)
% 0.22/0.47 % (28813)First to succeed.
% 0.22/0.48 % (28813)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for theBenchmark
% 0.22/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48 % (28813)------------------------------
% 0.22/0.48 % (28813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.48 % (28813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.48 % (28813)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (28813)Memory used [KB]: 1407
% 0.22/0.48 % (28813)Time elapsed: 0.006 s
% 0.22/0.48 % (28813)Instructions burned: 2 (million)
% 0.22/0.48 % (28813)------------------------------
% 0.22/0.48 % (28813)------------------------------
% 0.22/0.48 % (28786)Success in time 0.119 s
%------------------------------------------------------------------------------