TSTP Solution File: NUM867_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM867_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n004.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 18:07:04 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 10 unt; 1 typ; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 28 ( 0 atm; 11 fun; 9 num; 8 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 6 !; 2 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f50,plain,
$false,
inference(trivial_inequality_removal,[],[f44]) ).
tff(f44,plain,
sK0 != sK0,
inference(superposition,[],[f18,f23]) ).
tff(f23,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f3,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f18,plain,
$sum(0,sK0) != sK0,
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
$sum(0,sK0) != sK0,
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] : ( $sum(0,X0) != X0 )
=> ( $sum(0,sK0) != sK0 ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] : ( $sum(0,X0) != X0 ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] : ( $sum(0,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_0_identity_rev) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM867=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 09:04:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (20651)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.21/0.50 % (20651)First to succeed.
% 0.21/0.50 % (20651)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (20651)------------------------------
% 0.21/0.50 % (20651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (20651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (20651)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (20651)Memory used [KB]: 5373
% 0.21/0.50 % (20651)Time elapsed: 0.079 s
% 0.21/0.50 % (20651)Instructions burned: 3 (million)
% 0.21/0.50 % (20651)------------------------------
% 0.21/0.50 % (20651)------------------------------
% 0.21/0.50 % (20643)Success in time 0.147 s
%------------------------------------------------------------------------------