TSTP Solution File: RNG020-7 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG020-7 : 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 18:14:23 EDT 2022
% Result : Unsatisfiable 0.21s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,plain,
$false,
inference(trivial_inequality_removal,[],[f95]) ).
fof(f95,plain,
add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),add(multiply(multiply(x,u),y),multiply(multiply(x,v),y)))) != add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),add(multiply(multiply(x,u),y),multiply(multiply(x,v),y)))),
inference(forward_demodulation,[],[f94,f93]) ).
fof(f93,plain,
! [X8,X6,X7] : add(X7,add(X6,X8)) = add(X6,add(X7,X8)),
inference(forward_demodulation,[],[f81,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f81,plain,
! [X8,X6,X7] : add(add(X7,X6),X8) = add(X6,add(X7,X8)),
inference(superposition,[],[f11,f10]) ).
fof(f10,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f94,plain,
add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),add(multiply(multiply(x,u),y),multiply(multiply(x,v),y)))) != add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,v),y)))),
inference(backward_demodulation,[],[f41,f93]) ).
fof(f41,plain,
add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),add(multiply(multiply(x,u),y),multiply(multiply(x,v),y)))) != add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,v),y)))),
inference(forward_demodulation,[],[f40,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute2) ).
fof(f40,plain,
add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,v),y)))) != add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),multiply(add(multiply(x,u),multiply(x,v)),y))),
inference(backward_demodulation,[],[f37,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute1) ).
fof(f37,plain,
add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,add(u,v)),y))) != add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,v),y)))),
inference(forward_demodulation,[],[f36,f10]) ).
fof(f36,plain,
add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y)))))) != add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,add(u,v)),y))),
inference(forward_demodulation,[],[f35,f11]) ).
fof(f35,plain,
add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y)))))) != add(add(additive_inverse(multiply(x,multiply(u,y))),additive_inverse(multiply(x,multiply(v,y)))),multiply(multiply(x,add(u,v)),y)),
inference(forward_demodulation,[],[f34,f31]) ).
fof(f31,plain,
! [X2,X0,X1] : add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))) = additive_inverse(multiply(X0,add(X1,X2))),
inference(forward_demodulation,[],[f21,f17]) ).
fof(f17,axiom,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_product1) ).
fof(f21,axiom,
! [X2,X0,X1] : multiply(additive_inverse(X0),add(X1,X2)) = add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_of_difference3) ).
fof(f34,plain,
add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y)))))) != add(additive_inverse(multiply(x,add(multiply(u,y),multiply(v,y)))),multiply(multiply(x,add(u,v)),y)),
inference(forward_demodulation,[],[f33,f9]) ).
fof(f33,plain,
add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y)))))) != add(additive_inverse(multiply(x,multiply(add(u,v),y))),multiply(multiply(x,add(u,v)),y)),
inference(forward_demodulation,[],[f32,f10]) ).
fof(f32,plain,
add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y)))))) != add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))),
inference(forward_demodulation,[],[f24,f11]) ).
fof(f24,plain,
add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))) != add(add(multiply(multiply(x,u),y),additive_inverse(multiply(x,multiply(u,y)))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y))))),
inference(definition_unfolding,[],[f23,f14,f14,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/sandbox2/benchmark/theBenchmark.p',associator) ).
fof(f23,axiom,
associator(x,add(u,v),y) != add(associator(x,u,y),associator(x,v,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_linearised_form2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG020-7 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % 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 : n005.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 11:47:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.45 % (5307)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.45 % (5324)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)
% 0.21/0.46 % (5307)First to succeed.
% 0.21/0.46 % (5315)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)
% 0.21/0.47 % (5307)Refutation found. Thanks to Tanya!
% 0.21/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.47 % (5307)------------------------------
% 0.21/0.47 % (5307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.47 % (5307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.47 % (5307)Termination reason: Refutation
% 0.21/0.47
% 0.21/0.47 % (5307)Memory used [KB]: 5500
% 0.21/0.47 % (5307)Time elapsed: 0.068 s
% 0.21/0.47 % (5307)Instructions burned: 6 (million)
% 0.21/0.47 % (5307)------------------------------
% 0.21/0.47 % (5307)------------------------------
% 0.21/0.47 % (5299)Success in time 0.117 s
%------------------------------------------------------------------------------