TSTP Solution File: GRP012-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP012-3 : 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 : n018.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 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 22 unt; 0 def)
% Number of atoms : 40 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 11 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1414,plain,
$false,
inference(subsumption_resolution,[],[f1359,f1052]) ).
fof(f1052,plain,
! [X0,X1] : sP0(inverse(X0),inverse(multiply(X1,X0)),identity,X1),
inference(unit_resulting_resolution,[],[f343,f284,f10]) ).
fof(f10,plain,
! [X2,X3,X1,X4,X5] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X5)
| sP0(X4,X3,X5,X1) ),
inference(cnf_transformation,[],[f10_D]) ).
fof(f10_D,plain,
! [X1,X5,X3,X4] :
( ! [X2] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X5) )
<=> ~ sP0(X4,X3,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f284,plain,
! [X0,X1] : product(X0,multiply(X1,inverse(multiply(X0,X1))),identity),
inference(unit_resulting_resolution,[],[f5,f122,f11]) ).
fof(f11,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP0(X4,X3,X5,X1)
| product(X0,X5,X3)
| ~ product(X0,X1,X4) ),
inference(general_splitting,[],[f7,f10_D]) ).
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/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f122,plain,
! [X0,X1] : sP0(X0,identity,multiply(X1,inverse(X0)),X1),
inference(unit_resulting_resolution,[],[f5,f4,f10]) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
fof(f343,plain,
! [X0,X1] : product(inverse(X0),multiply(X0,X1),X1),
inference(forward_demodulation,[],[f306,f37]) ).
fof(f37,plain,
! [X0] : multiply(identity,X0) = X0,
inference(unit_resulting_resolution,[],[f1,f5,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| X2 = X3
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f306,plain,
! [X0,X1] : product(inverse(X0),multiply(X0,X1),multiply(identity,X1)),
inference(unit_resulting_resolution,[],[f3,f127,f11]) ).
fof(f127,plain,
! [X2,X0,X1] : sP0(X0,multiply(X0,X1),multiply(X2,X1),X2),
inference(unit_resulting_resolution,[],[f5,f5,f10]) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1359,plain,
~ sP0(inverse(b),inverse(multiply(a,b)),identity,a),
inference(unit_resulting_resolution,[],[f25,f1276,f11]) ).
fof(f1276,plain,
! [X0,X1] : product(multiply(X0,inverse(X1)),X1,X0),
inference(superposition,[],[f5,f1199]) ).
fof(f1199,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[],[f1171,f38]) ).
fof(f38,plain,
! [X0] : multiply(X0,identity) = X0,
inference(unit_resulting_resolution,[],[f2,f5,f6]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f1171,plain,
! [X0,X1] : multiply(X0,identity) = multiply(multiply(X0,inverse(X1)),X1),
inference(unit_resulting_resolution,[],[f302,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| multiply(X1,X2) = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f302,plain,
! [X0,X1] : product(X0,identity,multiply(multiply(X0,inverse(X1)),X1)),
inference(unit_resulting_resolution,[],[f5,f125,f11]) ).
fof(f125,plain,
! [X0,X1] : sP0(X0,multiply(X0,X1),identity,inverse(X1)),
inference(unit_resulting_resolution,[],[f3,f5,f10]) ).
fof(f25,plain,
~ product(multiply(inverse(b),inverse(a)),identity,inverse(multiply(a,b))),
inference(unit_resulting_resolution,[],[f9,f2,f6]) ).
fof(f9,axiom,
inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_of_product_is_product_of_inverses) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n018.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 20:48:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (32513)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (32517)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (32516)WARNING: value z3 for option sas not known
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (32514)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (32515)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (32516)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)
% 0.14/0.38 % (32518)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)
% 0.14/0.38 % (32519)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)
% 0.14/0.38 % (32520)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)
% 0.14/0.38 TRYING [4]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 TRYING [5]
% 0.21/0.40 % (32520)First to succeed.
% 0.21/0.40 % (32520)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32513"
% 0.21/0.40 % (32520)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (32520)------------------------------
% 0.21/0.40 % (32520)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (32520)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (32520)Memory used [KB]: 1008
% 0.21/0.40 % (32520)Time elapsed: 0.023 s
% 0.21/0.40 % (32520)Instructions burned: 37 (million)
% 0.21/0.40 % (32513)Success in time 0.039 s
%------------------------------------------------------------------------------