TSTP Solution File: GRP039-4 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : GRP039-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n008.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 1.49s 0.63s
% Output : Proof 1.49s
% 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('Axioms/GRP003-1.ax',closure_of_inverse)]) ).
cnf(g5,plain,
( ~ subgroup_member(c)
| subgroup_member(inverse(c)) ),
inference(ground_cnf,[],[file('Axioms/GRP003-1.ax',closure_of_inverse)]) ).
cnf(g6,plain,
( product(inverse(a),element_in_O2(inverse(a),c),c)
| subgroup_member(inverse(a))
| subgroup_member(c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_O2)]) ).
cnf(g7,plain,
product(b,identity,b),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_identity)]) ).
cnf(g8,plain,
product(inverse(b),b,identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_inverse)]) ).
cnf(g9,plain,
product(identity,inverse(a),inverse(a)),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_identity)]) ).
cnf(g10,plain,
product(inverse(a),a,identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_inverse)]) ).
cnf(g11,plain,
product(inverse(c),c,identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_inverse)]) ).
cnf(g12,plain,
( subgroup_member(inverse(a))
| subgroup_member(c)
| subgroup_member(element_in_O2(inverse(a),c)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_element_in_O2)]) ).
cnf(g13,plain,
product(identity,d,d),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_identity)]) ).
cnf(g14,plain,
product(inverse(a),inverse(inverse(a)),identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_inverse)]) ).
cnf(g15,plain,
( ~ product(b,inverse(a),c)
| ~ product(inverse(a),inverse(inverse(a)),identity)
| ~ product(c,inverse(inverse(a)),multiply(c,inverse(inverse(a))))
| product(b,identity,multiply(c,inverse(inverse(a)))) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity1)]) ).
cnf(g16,plain,
product(c,inverse(inverse(a)),multiply(c,inverse(inverse(a)))),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function1)]) ).
cnf(g17,plain,
( ~ product(b,identity,multiply(c,inverse(inverse(a))))
| ~ subgroup_member(b)
| ~ subgroup_member(identity)
| subgroup_member(multiply(c,inverse(inverse(a)))) ),
inference(ground_cnf,[],[file('Axioms/GRP003-1.ax',closure_of_product)]) ).
cnf(g18,plain,
product(c,a,multiply(c,a)),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function1)]) ).
cnf(g19,plain,
product(c,d,multiply(c,d)),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function1)]) ).
cnf(g20,plain,
( ~ product(c,a,multiply(c,a))
| ~ product(c,d,multiply(c,d))
| ~ product(a,c,d)
| product(multiply(c,a),c,multiply(c,d)) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).
cnf(g21,plain,
( ~ product(multiply(c,a),c,multiply(c,d))
| ~ subgroup_member(multiply(c,a))
| ~ subgroup_member(c)
| subgroup_member(multiply(c,d)) ),
inference(ground_cnf,[],[file('Axioms/GRP003-1.ax',closure_of_product)]) ).
cnf(g22,plain,
( ~ product(b,inverse(a),c)
| ~ product(inverse(a),a,identity)
| ~ product(c,a,multiply(c,a))
| product(b,identity,multiply(c,a)) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity1)]) ).
cnf(g23,plain,
( ~ product(inverse(b),b,identity)
| ~ subgroup_member(inverse(b))
| ~ subgroup_member(b)
| subgroup_member(identity) ),
inference(ground_cnf,[],[file('Axioms/GRP003-1.ax',closure_of_product)]) ).
cnf(g24,plain,
product(a,inverse(a),identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_inverse)]) ).
cnf(g25,plain,
( ~ product(b,identity,multiply(c,a))
| ~ product(b,identity,b)
| sPE(multiply(c,a),b) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function2)]) ).
cnf(g26,plain,
( ~ sPE(multiply(c,a),b)
| sPE(b,multiply(c,a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ sPE(b,multiply(c,a))
| ~ subgroup_member(b)
| subgroup_member(multiply(c,a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ product(a,inverse(a),identity)
| ~ product(inverse(a),element_in_O2(inverse(a),c),c)
| ~ product(identity,element_in_O2(inverse(a),c),element_in_O2(inverse(a),c))
| product(a,c,element_in_O2(inverse(a),c)) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity1)]) ).
cnf(g29,plain,
product(identity,element_in_O2(inverse(a),c),element_in_O2(inverse(a),c)),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_identity)]) ).
cnf(g30,plain,
( ~ product(inverse(c),multiply(c,d),d)
| ~ subgroup_member(inverse(c))
| ~ subgroup_member(multiply(c,d))
| subgroup_member(d) ),
inference(ground_cnf,[],[file('Axioms/GRP003-1.ax',closure_of_product)]) ).
cnf(g31,plain,
( ~ product(inverse(c),c,identity)
| ~ product(c,d,multiply(c,d))
| ~ product(identity,d,d)
| product(inverse(c),multiply(c,d),d) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity1)]) ).
cnf(g32,plain,
( ~ product(b,identity,multiply(c,inverse(inverse(a))))
| ~ product(b,inverse(a),c)
| ~ product(identity,inverse(a),inverse(a))
| product(multiply(c,inverse(inverse(a))),inverse(a),c) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).
cnf(g33,plain,
( ~ product(multiply(c,inverse(inverse(a))),inverse(a),c)
| ~ subgroup_member(multiply(c,inverse(inverse(a))))
| ~ subgroup_member(inverse(a))
| subgroup_member(c) ),
inference(ground_cnf,[],[file('Axioms/GRP003-1.ax',closure_of_product)]) ).
cnf(g34,plain,
( ~ product(a,c,element_in_O2(inverse(a),c))
| ~ product(a,c,d)
| sPE(element_in_O2(inverse(a),c),d) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function2)]) ).
cnf(g35,plain,
( ~ sPE(element_in_O2(inverse(a),c),d)
| ~ subgroup_member(element_in_O2(inverse(a),c))
| subgroup_member(d) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP039-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 19:23:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.49/0.63 % symbols: 12
% 1.49/0.63 % clauses: 25
% 1.49/0.63 % start clauses: 4
% 1.49/0.63 % iterative deepening steps: 375
% 1.49/0.63 % maximum path limit: 3
% 1.49/0.63 % literal attempts: 293165
% 1.49/0.63 % depth failures: 184325
% 1.49/0.63 % regularity failures: 2074
% 1.49/0.63 % tautology failures: 28417
% 1.49/0.63 % reductions: 57309
% 1.49/0.63 % extensions: 234703
% 1.49/0.63 % SAT variables: 35042
% 1.49/0.63 % SAT clauses: 77907
% 1.49/0.63 % WalkSAT solutions: 77905
% 1.49/0.63 % CDCL solutions: 1
% 1.49/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.49/0.63 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------