TSTP Solution File: GRP729-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP729-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 12:08:46 EDT 2024
% Result : Unsatisfiable 4.08s 0.97s
% Output : Refutation 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27225,plain,
$false,
inference(trivial_inequality_removal,[],[f27224]) ).
fof(f27224,plain,
unit != unit,
inference(superposition,[],[f23,f26835]) ).
fof(f26835,plain,
! [X2,X3,X0,X1] : unit = asoc(X1,X2,op_k(X0,X3)),
inference(superposition,[],[f26709,f42]) ).
fof(f42,plain,
! [X0] : i(i(X0)) = X0,
inference(superposition,[],[f33,f32]) ).
fof(f32,plain,
! [X0] : rd(unit,i(X0)) = X0,
inference(superposition,[],[f7,f3]) ).
fof(f3,axiom,
! [X0] : unit = mult(X0,i(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f7,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f33,plain,
! [X0] : i(X0) = rd(unit,X0),
inference(superposition,[],[f7,f4]) ).
fof(f4,axiom,
! [X0] : unit = mult(i(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f26709,plain,
! [X2,X3,X0,X1] : unit = asoc(X2,X3,op_k(i(X0),X1)),
inference(superposition,[],[f23601,f54]) ).
fof(f54,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
inference(superposition,[],[f6,f42]) ).
fof(f6,axiom,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f23601,plain,
! [X2,X3,X0,X1] : unit = asoc(X2,X3,op_k(i(X0),mult(X0,X1))),
inference(superposition,[],[f22,f5839]) ).
fof(f5839,plain,
! [X0,X1] : op_k(i(X0),mult(X0,X1)) = asoc(i(mult(X0,X1)),X0,X1),
inference(backward_demodulation,[],[f5121,f5838]) ).
fof(f5838,plain,
! [X0,X1] : op_k(i(X0),mult(X0,X1)) = mult(mult(i(mult(X0,X1)),X0),X1),
inference(forward_demodulation,[],[f5737,f203]) ).
fof(f203,plain,
! [X0,X1] : mult(i(X1),X0) = i(mult(X1,i(X0))),
inference(superposition,[],[f5,f42]) ).
fof(f5,axiom,
! [X0,X1] : i(mult(X0,X1)) = mult(i(X0),i(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
fof(f5737,plain,
! [X0,X1] : op_k(i(X0),mult(X0,X1)) = mult(i(mult(mult(X0,X1),i(X0))),X1),
inference(superposition,[],[f445,f6]) ).
fof(f445,plain,
! [X0,X1] : op_k(X1,X0) = mult(i(mult(X0,X1)),mult(X1,X0)),
inference(superposition,[],[f6,f11]) ).
fof(f11,axiom,
! [X0,X1] : mult(X0,X1) = mult(mult(X1,X0),op_k(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).
fof(f5121,plain,
! [X0,X1] : mult(mult(i(mult(X0,X1)),X0),X1) = asoc(i(mult(X0,X1)),X0,X1),
inference(forward_demodulation,[],[f5068,f1]) ).
fof(f1,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f5068,plain,
! [X0,X1] : mult(mult(i(mult(X0,X1)),X0),X1) = mult(unit,asoc(i(mult(X0,X1)),X0,X1)),
inference(superposition,[],[f10,f4]) ).
fof(f10,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,X2)),asoc(X0,X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
fof(f22,axiom,
! [X2,X3,X0,X1,X4] : unit = asoc(X0,X1,asoc(X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c22) ).
fof(f23,axiom,
unit != asoc(a,b,op_k(c,d)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP729-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:25:40 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (8201)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (8204)WARNING: value z3 for option sas not known
% 0.15/0.38 % (8204)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)
% 0.15/0.38 % (8203)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (8202)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (8205)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (8206)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)
% 0.15/0.38 % (8207)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)
% 0.15/0.38 % (8208)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.22/0.43 TRYING [3]
% 0.22/0.53 TRYING [4]
% 0.22/0.55 TRYING [4]
% 3.72/0.90 TRYING [1]
% 3.72/0.90 TRYING [2]
% 3.72/0.90 TRYING [3]
% 4.08/0.94 TRYING [4]
% 4.08/0.96 % (8207)First to succeed.
% 4.08/0.97 % (8207)Refutation found. Thanks to Tanya!
% 4.08/0.97 % SZS status Unsatisfiable for theBenchmark
% 4.08/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 4.08/0.97 % (8207)------------------------------
% 4.08/0.97 % (8207)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.08/0.97 % (8207)Termination reason: Refutation
% 4.08/0.97
% 4.08/0.97 % (8207)Memory used [KB]: 10819
% 4.08/0.97 % (8207)Time elapsed: 0.582 s
% 4.08/0.97 % (8207)Instructions burned: 1418 (million)
% 4.08/0.97 % (8207)------------------------------
% 4.08/0.97 % (8207)------------------------------
% 4.08/0.97 % (8201)Success in time 0.589 s
%------------------------------------------------------------------------------