TSTP Solution File: RNG023-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG023-6 : TPTP v8.1.0. Released v1.0.0.
% 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 : n005.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 18:14:24 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 15 unt; 0 def)
% Number of atoms : 27 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 13 ~; 6 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f168,plain,
$false,
inference(unit_resulting_resolution,[],[f29,f139,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(X1,X0) ),
inference(equality_proxy_axiom,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f139,plain,
~ sQ0_eqProxy(multiply(x,multiply(x,y)),multiply(multiply(x,x),y)),
inference(unit_resulting_resolution,[],[f136,f35]) ).
fof(f35,plain,
! [X0,X1] :
( sQ0_eqProxy(additive_inverse(X0),additive_inverse(X1))
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f18]) ).
fof(f136,plain,
~ sQ0_eqProxy(additive_inverse(multiply(x,multiply(x,y))),additive_inverse(multiply(multiply(x,x),y))),
inference(forward_literal_rewriting,[],[f119,f39]) ).
fof(f119,plain,
~ sQ0_eqProxy(additive_inverse(multiply(multiply(x,x),y)),additive_inverse(multiply(x,multiply(x,y)))),
inference(unit_resulting_resolution,[],[f27,f42,f33]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( sQ0_eqProxy(add(X0,X2),add(X1,X3))
| ~ sQ0_eqProxy(X2,X3)
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f18]) ).
fof(f42,plain,
! [X0] : ~ sQ0_eqProxy(add(additive_inverse(X0),X0),add(multiply(multiply(x,x),y),additive_inverse(multiply(x,multiply(x,y))))),
inference(unit_resulting_resolution,[],[f28,f20,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ sQ0_eqProxy(X1,X2)
| sQ0_eqProxy(X0,X2)
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f18]) ).
fof(f20,plain,
~ sQ0_eqProxy(additive_identity,add(multiply(multiply(x,x),y),additive_inverse(multiply(x,multiply(x,y))))),
inference(equality_proxy_replacement,[],[f17,f18]) ).
fof(f17,plain,
additive_identity != add(multiply(multiply(x,x),y),additive_inverse(multiply(x,multiply(x,y)))),
inference(definition_unfolding,[],[f16,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associator) ).
fof(f16,axiom,
additive_identity != associator(x,x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_alternative) ).
fof(f28,plain,
! [X0] : sQ0_eqProxy(additive_identity,add(additive_inverse(X0),X0)),
inference(equality_proxy_replacement,[],[f5,f18]) ).
fof(f5,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_inverse) ).
fof(f27,plain,
! [X0] : sQ0_eqProxy(additive_inverse(additive_inverse(X0)),X0),
inference(equality_proxy_replacement,[],[f7,f18]) ).
fof(f7,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f29,plain,
! [X0,X1] : sQ0_eqProxy(multiply(multiply(X0,X0),X1),multiply(X0,multiply(X0,X1))),
inference(equality_proxy_replacement,[],[f13,f18]) ).
fof(f13,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_alternative) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG023-6 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 11:44:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49 % (1402)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.49 % (1410)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)
% 0.19/0.49 % (1415)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)
% 0.19/0.49 % (1407)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)
% 0.19/0.50 % (1402)First to succeed.
% 0.19/0.50 % (1402)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (1402)------------------------------
% 0.19/0.50 % (1402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (1402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (1402)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (1402)Memory used [KB]: 5500
% 0.19/0.50 % (1402)Time elapsed: 0.107 s
% 0.19/0.50 % (1402)Instructions burned: 6 (million)
% 0.19/0.50 % (1402)------------------------------
% 0.19/0.50 % (1402)------------------------------
% 0.19/0.50 % (1392)Success in time 0.157 s
%------------------------------------------------------------------------------