TSTP Solution File: GRP001-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP001-4 : 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 : n024.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 11:50:06 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,plain,
$false,
inference(subsumption_resolution,[],[f104,f5]) ).
fof(f5,axiom,
c != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
fof(f104,plain,
c = multiply(b,a),
inference(superposition,[],[f12,f98]) ).
fof(f98,plain,
a = multiply(b,c),
inference(forward_demodulation,[],[f95,f15]) ).
fof(f15,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f12,f3]) ).
fof(f3,axiom,
! [X0] : identity = multiply(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',squareness) ).
fof(f95,plain,
multiply(a,identity) = multiply(b,c),
inference(superposition,[],[f12,f52]) ).
fof(f52,plain,
identity = multiply(a,multiply(b,c)),
inference(superposition,[],[f10,f4]) ).
fof(f4,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f10,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(X0,X1))),
inference(superposition,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f12,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f6,f2]) ).
fof(f2,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f1,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP001-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 04:30:51 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (9110)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (9113)WARNING: value z3 for option sas not known
% 0.13/0.37 % (9114)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (9111)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (9112)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (9113)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)
% 0.13/0.37 % (9115)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)
% 0.13/0.37 % (9116)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)
% 0.13/0.37 % (9117)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)
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 % (9117)First to succeed.
% 0.13/0.37 % (9116)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (9113)Also succeeded, but the first one will report.
% 0.13/0.37 % (9117)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (9117)------------------------------
% 0.13/0.37 % (9117)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37 % (9117)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (9117)Memory used [KB]: 813
% 0.13/0.37 % (9117)Time elapsed: 0.005 s
% 0.13/0.37 % (9117)Instructions burned: 6 (million)
% 0.13/0.37 % (9117)------------------------------
% 0.13/0.37 % (9117)------------------------------
% 0.13/0.37 % (9110)Success in time 0.02 s
%------------------------------------------------------------------------------