TSTP Solution File: GRP010-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP010-1 : 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 : n011.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 11:50:26 EDT 2024
% Result : Unsatisfiable 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 26 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 10 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f296,plain,
$false,
inference(subsumption_resolution,[],[f290,f10]) ).
fof(f10,axiom,
~ product(b,a,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_multiply_a_is_identity) ).
fof(f290,plain,
product(b,a,identity),
inference(superposition,[],[f4,f266]) ).
fof(f266,plain,
a = inverse(b),
inference(unit_resulting_resolution,[],[f1,f199,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(f199,plain,
product(identity,inverse(b),a),
inference(unit_resulting_resolution,[],[f4,f127,f11]) ).
fof(f11,plain,
! [X2,X3,X1,X4,X5] :
( ~ product(X1,X2,X5)
| product(X4,X2,X3)
| sP0(X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f11_D]) ).
fof(f11_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(f127,plain,
~ sP0(identity,identity,a,b),
inference(unit_resulting_resolution,[],[f9,f2,f12]) ).
fof(f12,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP0(X5,X4,X3,X1)
| ~ product(X0,X5,X3)
| ~ product(X0,X1,X4) ),
inference(general_splitting,[],[f8,f11_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/sandbox/benchmark/theBenchmark.p',associativity2) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f9,axiom,
product(a,b,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_multiply_b_is_identity) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.15/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:38:46 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.22/0.36 % (2758)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (2761)WARNING: value z3 for option sas not known
% 0.22/0.38 % (2759)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (2760)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (2761)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)
% 0.22/0.38 % (2762)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (2764)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)
% 0.22/0.38 % (2763)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)
% 0.22/0.38 % (2765)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)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [4]
% 0.22/0.38 % (2765)First to succeed.
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 % (2761)Also succeeded, but the first one will report.
% 0.22/0.39 TRYING [3]
% 0.22/0.39 % (2765)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (2765)------------------------------
% 0.22/0.39 % (2765)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 % (2765)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (2765)Memory used [KB]: 862
% 0.22/0.39 % (2765)Time elapsed: 0.007 s
% 0.22/0.39 % (2765)Instructions burned: 10 (million)
% 0.22/0.39 % (2765)------------------------------
% 0.22/0.39 % (2765)------------------------------
% 0.22/0.39 % (2758)Success in time 0.024 s
%------------------------------------------------------------------------------