TSTP Solution File: NUM878_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM878_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_uns --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 18:02:45 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 14 ( 0 atm; 5 fun; 4 num; 5 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 : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 5 ( 3 !; 2 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(f27,plain,
$false,
inference(trivial_inequality_removal,[],[f25]) ).
tff(f25,plain,
0 != 0,
inference(superposition,[],[f22,f17]) ).
tff(f17,plain,
! [X0: $int] : ( $product(X0,0) = 0 ),
introduced(theory_axiom_154,[]) ).
tff(f22,plain,
! [X0: $int] : ( $product(X0,X0) != X0 ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: $int] : ( $product(X0,X0) != X0 ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : ( $product(X0,X0) = X0 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $int] : ( $product(X0,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotent_element) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM878=1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.13 % 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 : n004.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 09:06:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.53 % (26441)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.19/0.53 % (26449)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (26449)First to succeed.
% 0.19/0.55 % (26449)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (26449)------------------------------
% 0.19/0.55 % (26449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (26449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (26449)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (26449)Memory used [KB]: 5500
% 0.19/0.55 % (26449)Time elapsed: 0.119 s
% 0.19/0.55 % (26449)Instructions burned: 2 (million)
% 0.19/0.55 % (26449)------------------------------
% 0.19/0.55 % (26449)------------------------------
% 0.19/0.55 % (26434)Success in time 0.195 s
%------------------------------------------------------------------------------