TSTP Solution File: GRP039-6 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : GRP039-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n017.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 : 600s
% DateTime : Sat Jul 16 11:31:44 EDT 2022
% Result : Unsatisfiable 0.20s 0.45s
% Output : Proof 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
subgroup_member(b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_in_subgroup)]) ).
cnf(g1,plain,
product(b,inverse(a),c),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_inverse_is_c)]) ).
cnf(g2,plain,
product(a,c,d),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_is_d)]) ).
cnf(g3,plain,
~ subgroup_member(d),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_is_in_subgroup)]) ).
cnf(g4,plain,
( ~ subgroup_member(b)
| subgroup_member(inverse(b)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_inverse)]) ).
cnf(g5,plain,
( ~ subgroup_member(b)
| ~ subgroup_member(inverse(a))
| ~ product(b,inverse(a),c)
| subgroup_member(c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product)]) ).
cnf(g6,plain,
product(inverse(b),b,identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse)]) ).
cnf(g7,plain,
product(identity,inverse(a),inverse(a)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity)]) ).
cnf(g8,plain,
( subgroup_member(a)
| subgroup_member(d)
| subgroup_member(element_in_O2(a,d)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_element_in_O2)]) ).
cnf(g9,plain,
( subgroup_member(a)
| subgroup_member(d)
| product(a,element_in_O2(a,d),d) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_O2)]) ).
cnf(g10,plain,
product(inverse(a),a,identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse)]) ).
cnf(g11,plain,
( ~ product(inverse(b),b,identity)
| ~ product(b,inverse(a),c)
| ~ product(identity,inverse(a),inverse(a))
| product(inverse(b),c,inverse(a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1)]) ).
cnf(g12,plain,
( ~ subgroup_member(inverse(b))
| ~ subgroup_member(c)
| ~ product(inverse(b),c,inverse(a))
| subgroup_member(inverse(a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product)]) ).
cnf(g13,plain,
product(identity,d,d),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity)]) ).
cnf(g14,plain,
product(inverse(inverse(a)),inverse(a),identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse)]) ).
cnf(g15,plain,
product(inverse(inverse(a)),identity,inverse(inverse(a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity)]) ).
cnf(g16,plain,
( ~ subgroup_member(inverse(a))
| subgroup_member(inverse(inverse(a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_inverse)]) ).
cnf(g17,plain,
( ~ product(a,c,d)
| ~ product(a,element_in_O2(a,d),d)
| equalish(element_in_O2(a,d),c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).
cnf(g18,plain,
( ~ equalish(element_in_O2(a,d),c)
| ~ subgroup_member(element_in_O2(a,d))
| subgroup_member(c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',subgroup_member_substitution)]) ).
cnf(g19,plain,
( ~ product(identity,a,inverse(inverse(a)))
| ~ product(identity,d,d)
| ~ product(a,c,d)
| product(inverse(inverse(a)),c,d) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2)]) ).
cnf(g20,plain,
( ~ product(inverse(inverse(a)),inverse(a),identity)
| ~ product(inverse(inverse(a)),identity,inverse(inverse(a)))
| ~ product(inverse(a),a,identity)
| product(identity,a,inverse(inverse(a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2)]) ).
cnf(g21,plain,
( ~ subgroup_member(inverse(inverse(a)))
| ~ subgroup_member(c)
| ~ product(inverse(inverse(a)),c,d)
| subgroup_member(d) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product)]) ).
cnf(g22,plain,
( ~ subgroup_member(a)
| subgroup_member(inverse(a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_inverse)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP039-6 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : satcop --statistics %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 07:14:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.45 % symbols: 12
% 0.20/0.45 % clauses: 22
% 0.20/0.45 % start clauses: 4
% 0.20/0.45 % iterative deepening steps: 245
% 0.20/0.45 % maximum path limit: 3
% 0.20/0.45 % literal attempts: 141514
% 0.20/0.45 % depth failures: 79939
% 0.20/0.45 % regularity failures: 553
% 0.20/0.45 % tautology failures: 14633
% 0.20/0.45 % reductions: 38312
% 0.20/0.45 % extensions: 102280
% 0.20/0.45 % SAT variables: 6542
% 0.20/0.45 % SAT clauses: 19733
% 0.20/0.45 % WalkSAT solutions: 19730
% 0.20/0.45 % CDCL solutions: 0
% 0.20/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.45 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------