TSTP Solution File: GRP013-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP013-1 : 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 : n031.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 11:50:27 EDT 2024
% Result : Unsatisfiable 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 16 unt; 0 def)
% Number of atoms : 21 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f144,plain,
$false,
inference(subsumption_resolution,[],[f136,f9]) ).
fof(f9,axiom,
! [X6] : product(X6,X6,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',squareness) ).
fof(f136,plain,
~ product(c,c,identity),
inference(superposition,[],[f13,f107]) ).
fof(f107,plain,
c = d,
inference(forward_demodulation,[],[f106,f90]) ).
fof(f90,plain,
c = multiply(a,b),
inference(unit_resulting_resolution,[],[f5,f10,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| X2 = X3
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f10,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
fof(f106,plain,
d = multiply(a,b),
inference(forward_demodulation,[],[f105,f86]) ).
fof(f86,plain,
! [X0] : inverse(X0) = X0,
inference(unit_resulting_resolution,[],[f2,f20,f6]) ).
fof(f20,plain,
! [X0] : product(inverse(X0),identity,X0),
inference(unit_resulting_resolution,[],[f3,f12]) ).
fof(f12,axiom,
! [X8,X6,X7] :
( ~ product(inverse(X6),inverse(X7),X8)
| product(X6,X8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverses_have_property) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f105,plain,
d = multiply(inverse(a),b),
inference(forward_demodulation,[],[f83,f86]) ).
fof(f83,plain,
d = multiply(inverse(a),inverse(b)),
inference(unit_resulting_resolution,[],[f5,f11,f6]) ).
fof(f11,axiom,
product(inverse(a),inverse(b),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_a_times_inverse_b_is_d) ).
fof(f13,axiom,
~ product(c,d,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_times_d_is_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n031.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 04:56:43 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (31270)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (31272)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.36 TRYING [1]
% 0.15/0.36 TRYING [2]
% 0.15/0.36 TRYING [3]
% 0.15/0.37 % (31273)WARNING: value z3 for option sas not known
% 0.15/0.37 TRYING [4]
% 0.15/0.37 % (31274)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (31271)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (31273)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)
% 0.15/0.37 % (31275)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)
% 0.15/0.37 % (31276)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)
% 0.15/0.37 % (31277)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 % (31277)First to succeed.
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (31276)Also succeeded, but the first one will report.
% 0.15/0.37 % (31273)Also succeeded, but the first one will report.
% 0.15/0.37 % (31277)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (31277)------------------------------
% 0.15/0.37 % (31277)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.37 % (31277)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (31277)Memory used [KB]: 784
% 0.15/0.37 % (31277)Time elapsed: 0.005 s
% 0.15/0.37 % (31277)Instructions burned: 6 (million)
% 0.15/0.37 % (31277)------------------------------
% 0.15/0.37 % (31277)------------------------------
% 0.15/0.37 % (31270)Success in time 0.005 s
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