TSTP Solution File: GRP039-3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : GRP039-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n010.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 11:31:43 EDT 2022
% Result : Unsatisfiable 6.83s 1.48s
% Output : Proof 6.83s
% 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',subgroup_member_inverse_are_in_subgroup)]) ).
cnf(g5,plain,
( ~ product(b,inverse(a),c)
| ~ product(b,inverse(a),c)
| sPE(c,c) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function2)]) ).
cnf(g6,plain,
product(c,inverse(c),identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_inverse)]) ).
cnf(g7,plain,
( ~ subgroup_member(c)
| subgroup_member(inverse(c)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',subgroup_member_inverse_are_in_subgroup)]) ).
cnf(g8,plain,
product(inverse(a),a,identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_inverse)]) ).
cnf(g9,plain,
product(c,identity,c),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_identity)]) ).
cnf(g10,plain,
sPE(d,d),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
product(inverse(a),inverse(inverse(a)),identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_inverse)]) ).
cnf(g12,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(g13,plain,
product(c,inverse(inverse(a)),multiply(c,inverse(inverse(a)))),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function1)]) ).
cnf(g14,plain,
product(c,a,multiply(c,a)),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function1)]) ).
cnf(g15,plain,
product(a,identity,a),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_identity)]) ).
cnf(g16,plain,
product(a,identity,multiply(a,identity)),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function1)]) ).
cnf(g17,plain,
product(identity,inverse(a),inverse(a)),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',left_identity)]) ).
cnf(g18,plain,
product(b,identity,multiply(b,identity)),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function1)]) ).
cnf(g19,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(g20,plain,
product(d,identity,d),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_identity)]) ).
cnf(g21,plain,
product(d,inverse(c),multiply(d,inverse(c))),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function1)]) ).
cnf(g22,plain,
( ~ product(b,inverse(a),c)
| ~ product(b,identity,multiply(b,identity))
| ~ product(inverse(a),inverse(inverse(a)),identity)
| product(c,inverse(inverse(a)),multiply(b,identity)) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).
cnf(g23,plain,
( ~ sPE(inverse(inverse(b)),b)
| sPE(b,inverse(inverse(b))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
sPE(inverse(inverse(b)),b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_is_self_cancelling)]) ).
cnf(g25,plain,
product(inverse(b),inverse(inverse(b)),identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_inverse)]) ).
cnf(g26,plain,
( ~ subgroup_member(inverse(a))
| subgroup_member(inverse(inverse(a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',subgroup_member_inverse_are_in_subgroup)]) ).
cnf(g27,plain,
sPE(inverse(inverse(a)),a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_is_self_cancelling)]) ).
cnf(g28,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(g29,plain,
product(multiply(c,a),identity,multiply(c,a)),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_identity)]) ).
cnf(g30,plain,
( ~ product(multiply(c,a),identity,multiply(c,a))
| ~ product(b,identity,multiply(c,a))
| sPE(b,multiply(c,a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).
cnf(g31,plain,
( ~ sPE(b,multiply(c,a))
| ~ subgroup_member(b)
| subgroup_member(multiply(c,a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ product(b,identity,multiply(c,a))
| ~ product(b,identity,multiply(b,identity))
| sPE(multiply(c,a),multiply(b,identity)) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function2)]) ).
cnf(g33,plain,
( ~ sPE(multiply(c,a),multiply(b,identity))
| ~ subgroup_member(multiply(c,a))
| subgroup_member(multiply(b,identity)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ product(a,identity,a)
| ~ product(a,identity,multiply(a,identity))
| sPE(a,multiply(a,identity)) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function2)]) ).
cnf(g35,plain,
sPE(inverse(inverse(inverse(a))),inverse(a)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_is_self_cancelling)]) ).
cnf(g36,plain,
( ~ sPE(a,multiply(a,identity))
| ~ sPE(c,c)
| ~ sPE(d,d)
| ~ product(a,c,d)
| product(multiply(a,identity),c,d) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
( ~ sPE(inverse(inverse(a)),a)
| ~ sPE(a,multiply(a,identity))
| sPE(inverse(inverse(a)),multiply(a,identity)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g38,plain,
( ~ sPE(inverse(inverse(a)),multiply(a,identity))
| ~ subgroup_member(inverse(inverse(a)))
| subgroup_member(multiply(a,identity)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g39,plain,
product(inverse(inverse(a)),inverse(inverse(inverse(a))),identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_inverse)]) ).
cnf(g40,plain,
( ~ product(b,inverse(a),c)
| ~ product(inverse(a),identity,multiply(identity,inverse(inverse(inverse(a)))))
| ~ product(c,identity,c)
| product(b,multiply(identity,inverse(inverse(inverse(a)))),c) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity1)]) ).
cnf(g41,plain,
( ~ product(inverse(a),inverse(inverse(a)),identity)
| ~ product(inverse(inverse(a)),inverse(inverse(inverse(a))),identity)
| ~ product(identity,inverse(inverse(inverse(a))),multiply(identity,inverse(inverse(inverse(a)))))
| product(inverse(a),identity,multiply(identity,inverse(inverse(inverse(a))))) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity1)]) ).
cnf(g42,plain,
product(identity,inverse(inverse(inverse(a))),multiply(identity,inverse(inverse(inverse(a))))),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function1)]) ).
cnf(g43,plain,
( ~ product(b,inverse(a),c)
| ~ product(b,multiply(identity,inverse(inverse(inverse(a)))),c)
| sPE(multiply(identity,inverse(inverse(inverse(a)))),inverse(a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).
cnf(g44,plain,
( ~ sPE(multiply(identity,inverse(inverse(inverse(a)))),inverse(a))
| ~ subgroup_member(multiply(identity,inverse(inverse(inverse(a)))))
| subgroup_member(inverse(a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g45,plain,
( ~ sPE(inverse(inverse(inverse(a))),inverse(a))
| sPE(inverse(a),inverse(inverse(inverse(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g46,plain,
( ~ product(a,c,d)
| ~ product(a,identity,multiply(a,identity))
| ~ product(c,inverse(c),identity)
| product(d,inverse(c),multiply(a,identity)) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).
cnf(g47,plain,
( ~ product(d,inverse(c),multiply(d,inverse(c)))
| ~ product(d,inverse(c),multiply(a,identity))
| sPE(multiply(d,inverse(c)),multiply(a,identity)) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function2)]) ).
cnf(g48,plain,
( ~ sPE(multiply(d,inverse(c)),multiply(a,identity))
| sPE(multiply(a,identity),multiply(d,inverse(c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g49,plain,
( ~ sPE(multiply(a,identity),multiply(d,inverse(c)))
| ~ subgroup_member(multiply(a,identity))
| subgroup_member(multiply(d,inverse(c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g50,plain,
( ~ product(multiply(d,inverse(c)),inverse(inverse(c)),d)
| ~ subgroup_member(multiply(d,inverse(c)))
| ~ subgroup_member(inverse(c))
| subgroup_member(d) ),
inference(ground_cnf,[],[file('Axioms/GRP003-2.ax',closure_of_product_and_inverse)]) ).
cnf(g51,plain,
( ~ product(d,inverse(c),multiply(d,inverse(c)))
| ~ product(d,identity,d)
| ~ product(inverse(c),inverse(inverse(c)),identity)
| product(multiply(d,inverse(c)),inverse(inverse(c)),d) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).
cnf(g52,plain,
product(inverse(c),inverse(inverse(c)),identity),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',right_inverse)]) ).
cnf(g53,plain,
( ~ product(c,inverse(inverse(a)),multiply(b,identity))
| ~ product(c,inverse(inverse(a)),multiply(c,inverse(inverse(a))))
| sPE(multiply(b,identity),multiply(c,inverse(inverse(a)))) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',total_function2)]) ).
cnf(g54,plain,
( ~ sPE(multiply(b,identity),multiply(c,inverse(inverse(a))))
| ~ subgroup_member(multiply(b,identity))
| subgroup_member(multiply(c,inverse(inverse(a)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g55,plain,
( ~ sPE(element_in_O2(a,d),c)
| ~ subgroup_member(element_in_O2(a,d))
| subgroup_member(c) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g56,plain,
( product(a,element_in_O2(a,d),d)
| subgroup_member(a)
| subgroup_member(d) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_O2)]) ).
cnf(g57,plain,
( ~ product(a,c,d)
| ~ product(a,element_in_O2(a,d),d)
| sPE(element_in_O2(a,d),c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).
cnf(g58,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(g59,plain,
( ~ product(multiply(c,inverse(inverse(a))),inverse(a),c)
| ~ subgroup_member(multiply(c,inverse(inverse(a))))
| ~ subgroup_member(a)
| subgroup_member(c) ),
inference(ground_cnf,[],[file('Axioms/GRP003-2.ax',closure_of_product_and_inverse)]) ).
cnf(g60,plain,
( ~ product(d,inverse(c),multiply(a,identity))
| ~ product(d,identity,d)
| ~ product(inverse(c),inverse(inverse(c)),identity)
| product(multiply(a,identity),inverse(inverse(c)),d) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity2)]) ).
cnf(g61,plain,
( ~ product(multiply(a,identity),inverse(inverse(c)),d)
| ~ product(multiply(a,identity),c,d)
| sPE(c,inverse(inverse(c))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).
cnf(g62,plain,
( ~ sPE(b,inverse(inverse(b)))
| ~ sPE(inverse(a),inverse(inverse(inverse(a))))
| ~ sPE(c,inverse(inverse(c)))
| ~ product(b,inverse(a),c)
| product(inverse(inverse(b)),inverse(inverse(inverse(a))),inverse(inverse(c))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g63,plain,
( ~ product(inverse(b),inverse(inverse(b)),identity)
| ~ product(inverse(inverse(b)),inverse(inverse(inverse(a))),inverse(inverse(c)))
| ~ product(identity,inverse(inverse(inverse(a))),multiply(identity,inverse(inverse(inverse(a)))))
| product(inverse(b),inverse(inverse(c)),multiply(identity,inverse(inverse(inverse(a))))) ),
inference(ground_cnf,[],[file('Axioms/GRP003-0.ax',associativity1)]) ).
cnf(g64,plain,
( ~ product(inverse(b),inverse(inverse(c)),multiply(identity,inverse(inverse(inverse(a)))))
| ~ subgroup_member(inverse(b))
| ~ subgroup_member(inverse(c))
| subgroup_member(multiply(identity,inverse(inverse(inverse(a))))) ),
inference(ground_cnf,[],[file('Axioms/GRP003-2.ax',closure_of_product_and_inverse)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP039-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : satcop --statistics %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 18:49:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 6.83/1.48 % symbols: 12
% 6.83/1.48 % clauses: 28
% 6.83/1.48 % start clauses: 4
% 6.83/1.48 % iterative deepening steps: 1228
% 6.83/1.48 % maximum path limit: 3
% 6.83/1.48 % literal attempts: 2171953
% 6.83/1.48 % depth failures: 1426806
% 6.83/1.48 % regularity failures: 9122
% 6.83/1.48 % tautology failures: 291037
% 6.83/1.48 % reductions: 402248
% 6.83/1.48 % extensions: 1766885
% 6.83/1.48 % SAT variables: 139184
% 6.83/1.48 % SAT clauses: 349061
% 6.83/1.48 % WalkSAT solutions: 349052
% 6.83/1.48 % CDCL solutions: 8
% 6.83/1.48 % SZS status Unsatisfiable for theBenchmark
% 6.83/1.48 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------