TSTP Solution File: BOO011-4 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : BOO011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n002.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 15:49:23 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 10 unt; 0 def)
% Number of atoms : 15 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,plain,
$false,
inference(unit_resulting_resolution,[],[f13,f11,f30,f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( sQ0_eqProxy(X0,X2)
| ~ sQ0_eqProxy(X1,X2)
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f30,plain,
~ sQ0_eqProxy(multiplicative_identity,add(inverse(additive_identity),additive_identity)),
inference(unit_resulting_resolution,[],[f16,f12,f25]) ).
fof(f12,plain,
~ sQ0_eqProxy(multiplicative_identity,inverse(additive_identity)),
inference(equality_proxy_replacement,[],[f9,f10]) ).
fof(f9,axiom,
multiplicative_identity != inverse(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_of_1_is_0) ).
fof(f16,plain,
! [X0] : sQ0_eqProxy(add(X0,additive_identity),X0),
inference(equality_proxy_replacement,[],[f5,f10]) ).
fof(f5,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id1) ).
fof(f11,plain,
! [X0,X1] : sQ0_eqProxy(add(X0,X1),add(X1,X0)),
inference(equality_proxy_replacement,[],[f1,f10]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f13,plain,
! [X0] : sQ0_eqProxy(multiplicative_identity,add(X0,inverse(X0))),
inference(equality_proxy_replacement,[],[f7,f10]) ).
fof(f7,axiom,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n002.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 : Mon Aug 29 16:17:58 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (31528)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.51 % (31542)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.21/0.51 % (31534)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.21/0.51 % (31542)First to succeed.
% 0.21/0.51 % (31537)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.21/0.51 % (31534)Also succeeded, but the first one will report.
% 0.21/0.52 % (31542)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (31542)------------------------------
% 0.21/0.52 % (31542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (31542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (31542)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (31542)Memory used [KB]: 5500
% 0.21/0.52 % (31542)Time elapsed: 0.060 s
% 0.21/0.52 % (31542)Instructions burned: 1 (million)
% 0.21/0.52 % (31542)------------------------------
% 0.21/0.52 % (31542)------------------------------
% 0.21/0.52 % (31519)Success in time 0.16 s
%------------------------------------------------------------------------------