TSTP Solution File: GRP037-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP037-3 : 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 : n015.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 : Sun May 5 05:52:26 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 25 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f173,plain,
$false,
inference(trivial_inequality_removal,[],[f169]) ).
fof(f169,plain,
inverse(a) != inverse(a),
inference(superposition,[],[f19,f167]) ).
fof(f167,plain,
inverse(a) = another_inverse(a),
inference(resolution,[],[f158,f17]) ).
fof(f17,axiom,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f158,plain,
! [X0] :
( ~ subgroup_member(X0)
| inverse(X0) = another_inverse(X0) ),
inference(resolution,[],[f83,f12]) ).
fof(f12,axiom,
! [X6] :
( product(X6,another_inverse(X6),another_identity)
| ~ subgroup_member(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_right_inverse) ).
fof(f83,plain,
! [X0,X1] :
( ~ product(X0,X1,another_identity)
| inverse(X0) = X1 ),
inference(backward_demodulation,[],[f25,f73]) ).
fof(f73,plain,
identity = another_identity,
inference(resolution,[],[f69,f17]) ).
fof(f69,plain,
! [X0] :
( ~ subgroup_member(X0)
| identity = another_identity ),
inference(resolution,[],[f21,f11]) ).
fof(f11,axiom,
! [X6] :
( product(X6,another_identity,X6)
| ~ subgroup_member(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_right_identity) ).
fof(f21,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| identity = X1 ),
inference(resolution,[],[f15,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f15,axiom,
! [X8,X6,X9,X7] :
( ~ product(X6,X9,X8)
| ~ product(X6,X7,X8)
| X7 = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f25,plain,
! [X0,X1] :
( ~ product(X0,X1,identity)
| inverse(X0) = X1 ),
inference(resolution,[],[f15,f4]) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f19,axiom,
inverse(a) != another_inverse(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_inverses_are_equal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP037-3 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % 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 : Fri May 3 20:54:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (29386)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (29390)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.36 TRYING [1]
% 0.15/0.36 TRYING [2]
% 0.15/0.36 TRYING [3]
% 0.15/0.37 TRYING [4]
% 0.15/0.37 % (29389)WARNING: value z3 for option sas not known
% 0.15/0.37 % (29391)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 % (29387)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (29388)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (29389)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 % (29392)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 % (29393)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 [5]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (29392)First to succeed.
% 0.15/0.38 % (29393)Also succeeded, but the first one will report.
% 0.15/0.38 % (29392)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29386"
% 0.15/0.38 % (29389)Also succeeded, but the first one will report.
% 0.15/0.38 % (29392)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (29392)------------------------------
% 0.15/0.38 % (29392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (29392)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (29392)Memory used [KB]: 811
% 0.15/0.38 % (29392)Time elapsed: 0.007 s
% 0.15/0.38 % (29392)Instructions burned: 8 (million)
% 0.15/0.38 % (29386)Success in time 0.023 s
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