TSTP Solution File: GRP012-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP012-2 : 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 : n012.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 05:52:18 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 43 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 25 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1162,plain,
$false,
inference(unit_resulting_resolution,[],[f3,f275,f454,f15]) ).
fof(f15,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP1(X4,X3,X5,X1)
| product(X0,X5,X3)
| ~ product(X0,X1,X4) ),
inference(general_splitting,[],[f7,f14_D]) ).
fof(f14,plain,
! [X2,X3,X1,X4,X5] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X5)
| sP1(X4,X3,X5,X1) ),
inference(cnf_transformation,[],[f14_D]) ).
fof(f14_D,plain,
! [X1,X5,X3,X4] :
( ! [X2] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X5) )
<=> ~ sP1(X4,X3,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X4,X2,X3)
| ~ product(X1,X2,X5)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f454,plain,
sP1(identity,inverse(b),a,c),
inference(unit_resulting_resolution,[],[f326,f1,f14]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f326,plain,
product(c,inverse(b),a),
inference(unit_resulting_resolution,[],[f4,f206,f12]) ).
fof(f12,plain,
! [X2,X3,X1,X4,X5] :
( ~ product(X1,X2,X5)
| product(X4,X2,X3)
| sP0(X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f12_D]) ).
fof(f12_D,plain,
! [X1,X3,X4,X5] :
( ! [X2] :
( ~ product(X1,X2,X5)
| product(X4,X2,X3) )
<=> ~ sP0(X5,X4,X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f206,plain,
~ sP0(identity,c,a,b),
inference(unit_resulting_resolution,[],[f9,f2,f13]) ).
fof(f13,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP0(X5,X4,X3,X1)
| ~ product(X0,X5,X3)
| ~ product(X0,X1,X4) ),
inference(general_splitting,[],[f8,f12_D]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X0,X5,X3)
| ~ product(X1,X2,X5)
| product(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f9,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_multiply_b_is_c) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f275,plain,
~ product(inverse(c),a,inverse(b)),
inference(unit_resulting_resolution,[],[f2,f132,f13]) ).
fof(f132,plain,
sP0(identity,inverse(b),inverse(c),a),
inference(unit_resulting_resolution,[],[f46,f4,f12]) ).
fof(f46,plain,
~ product(inverse(b),inverse(a),inverse(c)),
inference(unit_resulting_resolution,[],[f11,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(inverse(b),inverse(a),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_b_multiply_inverse_a_is_d) ).
fof(f11,axiom,
d != inverse(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_inverse_equals_d) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP012-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:52:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (5218)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (5221)WARNING: value z3 for option sas not known
% 0.14/0.37 % (5220)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (5222)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (5219)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (5223)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)
% 0.14/0.37 % (5221)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)
% 0.14/0.37 % (5224)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)
% 0.14/0.37 % (5225)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [5]
% 0.14/0.39 % (5225)First to succeed.
% 0.14/0.39 % (5221)Also succeeded, but the first one will report.
% 0.14/0.39 % (5225)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5218"
% 0.14/0.39 TRYING [4]
% 0.14/0.39 % (5225)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (5225)------------------------------
% 0.14/0.39 % (5225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (5225)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (5225)Memory used [KB]: 1059
% 0.14/0.39 % (5225)Time elapsed: 0.023 s
% 0.14/0.39 % (5225)Instructions burned: 35 (million)
% 0.14/0.39 % (5218)Success in time 0.028 s
%------------------------------------------------------------------------------