TSTP Solution File: RNG018-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG018-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Tue Apr 30 14:50:17 EDT 2024
% Result : Unsatisfiable 11.38s 2.04s
% Output : Refutation 11.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39815,plain,
$false,
inference(trivial_inequality_removal,[],[f39750]) ).
fof(f39750,plain,
multiply(add(x,y),additive_inverse(z)) != multiply(add(x,y),additive_inverse(z)),
inference(superposition,[],[f1278,f39440]) ).
fof(f39440,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
inference(superposition,[],[f39329,f2]) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_identity) ).
fof(f39329,plain,
! [X0,X1] : add(additive_inverse(multiply(X1,X0)),additive_identity) = multiply(X1,additive_inverse(X0)),
inference(forward_demodulation,[],[f39101,f4]) ).
fof(f4,axiom,
! [X0] : additive_identity = multiply(X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_multiplicative_zero) ).
fof(f39101,plain,
! [X0,X1] : multiply(X1,additive_inverse(X0)) = add(additive_inverse(multiply(X1,X0)),multiply(X1,additive_identity)),
inference(superposition,[],[f670,f6]) ).
fof(f6,axiom,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f670,plain,
! [X2,X0,X1] : multiply(X0,X2) = add(additive_inverse(multiply(X0,X1)),multiply(X0,add(X1,X2))),
inference(superposition,[],[f56,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(f56,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(forward_demodulation,[],[f44,f1]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f44,plain,
! [X0,X1] : add(additive_identity,X1) = add(additive_inverse(X0),add(X0,X1)),
inference(superposition,[],[f11,f5]) ).
fof(f5,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_inverse) ).
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(f1278,plain,
multiply(add(x,y),additive_inverse(z)) != additive_inverse(multiply(add(x,y),z)),
inference(forward_demodulation,[],[f1277,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(f1277,plain,
multiply(add(x,y),additive_inverse(z)) != additive_inverse(add(multiply(x,z),multiply(y,z))),
inference(forward_demodulation,[],[f1225,f10]) ).
fof(f10,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f1225,plain,
multiply(add(x,y),additive_inverse(z)) != additive_inverse(add(multiply(y,z),multiply(x,z))),
inference(superposition,[],[f16,f393]) ).
fof(f393,plain,
! [X0,X1] : additive_inverse(add(X0,X1)) = add(additive_inverse(X1),additive_inverse(X0)),
inference(superposition,[],[f86,f133]) ).
fof(f133,plain,
! [X0,X1] : additive_inverse(X0) = add(additive_inverse(add(X0,X1)),X1),
inference(superposition,[],[f86,f56]) ).
fof(f86,plain,
! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1,
inference(superposition,[],[f56,f10]) ).
fof(f16,axiom,
multiply(add(x,y),additive_inverse(z)) != add(additive_inverse(multiply(x,z)),additive_inverse(multiply(y,z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : RNG018-6 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 02:06:47 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (32506)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (32509)WARNING: value z3 for option sas not known
% 0.14/0.38 % (32511)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (32510)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (32513)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (32512)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (32509)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (32508)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (32507)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [4]
% 0.14/0.40 TRYING [3]
% 0.22/0.43 TRYING [5]
% 0.22/0.44 TRYING [4]
% 1.40/0.56 TRYING [6]
% 1.60/0.60 TRYING [5]
% 4.13/0.95 TRYING [7]
% 5.09/1.08 TRYING [1]
% 5.09/1.08 TRYING [2]
% 5.09/1.08 TRYING [3]
% 5.09/1.10 TRYING [4]
% 5.91/1.23 TRYING [5]
% 8.35/1.57 TRYING [6]
% 9.28/1.75 TRYING [6]
% 11.38/2.04 % (32509)First to succeed.
% 11.38/2.04 % (32509)Refutation found. Thanks to Tanya!
% 11.38/2.04 % SZS status Unsatisfiable for theBenchmark
% 11.38/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 11.38/2.04 % (32509)------------------------------
% 11.38/2.04 % (32509)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 11.38/2.04 % (32509)Termination reason: Refutation
% 11.38/2.04
% 11.38/2.04 % (32509)Memory used [KB]: 17538
% 11.38/2.04 % (32509)Time elapsed: 1.658 s
% 11.38/2.04 % (32509)Instructions burned: 4094 (million)
% 11.38/2.04 % (32509)------------------------------
% 11.38/2.04 % (32509)------------------------------
% 11.38/2.04 % (32506)Success in time 1.668 s
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