%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : FLD012-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %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 : 600s
% DateTime : Sat Jul 16 02:26:18 EDT 2022
% Result : Unsatisfiable 6.23s 1.18s
% Output : Proof 6.23s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sum(additive_identity,a,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5)]) ).
cnf(g1,plain,
~ sum(additive_identity,b,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_6)]) ).
cnf(g2,plain,
product(a,b,u),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_7)]) ).
cnf(g3,plain,
product(multiplicative_inverse(a),multiplicative_inverse(b),v),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_8)]) ).
cnf(g4,plain,
~ product(multiplicative_identity,multiplicative_inverse(u),v),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_9)]) ).
cnf(g5,plain,
( ~ defined(a)
| sum(additive_identity,a,additive_identity)
| product(multiplicative_inverse(a),a,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g6,plain,
( ~ defined(b)
| sum(additive_identity,b,additive_identity)
| product(multiplicative_inverse(b),b,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g7,plain,
( ~ product(a,b,u)
| product(b,a,u) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g8,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g9,plain,
defined(a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined)]) ).
cnf(g10,plain,
( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| product(a,multiplicative_inverse(a),multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g11,plain,
( ~ defined(additive_identity)
| product(multiplicative_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g12,plain,
defined(b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined)]) ).
cnf(g13,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g14,plain,
( ~ defined(b)
| product(multiplicative_identity,b,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g15,plain,
( ~ defined(u)
| sum(additive_identity,u,additive_identity)
| product(multiplicative_inverse(u),u,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g16,plain,
( ~ defined(v)
| product(multiplicative_identity,v,v) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g17,plain,
( ~ defined(u)
| sum(additive_identity,u,u) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g18,plain,
( ~ sum(additive_identity,u,additive_identity)
| sum(u,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g19,plain,
( ~ product(multiplicative_identity,v,v)
| product(v,multiplicative_identity,v) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g20,plain,
( ~ defined(b)
| sum(additive_identity,b,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g21,plain,
( ~ defined(b)
| sum(additive_inverse(b),b,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).
cnf(g22,plain,
( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(multiplicative_inverse(a),u,additive_identity)
| ~ product(a,b,u)
| product(multiplicative_identity,b,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g23,plain,
( ~ product(u,multiplicative_inverse(a),additive_identity)
| product(multiplicative_inverse(a),u,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g24,plain,
( ~ defined(additive_identity)
| ~ defined(a)
| product(additive_identity,a,multiply(additive_identity,a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g25,plain,
( ~ product(additive_identity,a,additive_identity)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(a,multiplicative_inverse(a),multiplicative_identity)
| product(additive_identity,multiplicative_inverse(a),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g26,plain,
( ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(additive_identity,multiplicative_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g27,plain,
defined(additive_identity),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_identity)]) ).
cnf(g28,plain,
( ~ product(multiplicative_identity,b,b)
| product(b,multiplicative_identity,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g29,plain,
( ~ sum(additive_identity,b,b)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(b,multiplicative_identity,b)
| ~ product(b,multiplicative_identity,additive_identity)
| sum(additive_identity,b,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g30,plain,
( ~ product(multiplicative_identity,b,additive_identity)
| product(b,multiplicative_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g31,plain,
( ~ defined(b)
| defined(additive_inverse(b)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).
cnf(g32,plain,
defined(v),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_is_defined)]) ).
cnf(g33,plain,
( ~ product(multiplicative_inverse(u),u,multiplicative_identity)
| product(u,multiplicative_inverse(u),multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g34,plain,
defined(u),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined)]) ).
cnf(g35,plain,
( ~ sum(additive_identity,b,b)
| ~ product(additive_identity,a,multiply(additive_identity,a))
| ~ product(b,a,u)
| ~ product(b,a,u)
| sum(multiply(additive_identity,a),u,u) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g36,plain,
( ~ sum(multiply(additive_identity,a),u,u)
| ~ sum(u,additive_identity,additive_identity)
| ~ sum(u,additive_identity,additive_identity)
| sum(multiply(additive_identity,a),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g37,plain,
( ~ sum(additive_identity,u,u)
| sum(u,additive_identity,u) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g38,plain,
( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(b,a,u)
| ~ product(multiplicative_identity,a,a)
| product(multiplicative_inverse(b),u,a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g39,plain,
( ~ sum(additive_identity,u,additive_identity)
| ~ sum(additive_identity,u,u)
| ~ sum(u,additive_identity,u)
| sum(additive_identity,additive_identity,u) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g40,plain,
( ~ product(v,u,multiplicative_identity)
| ~ product(v,multiplicative_identity,v)
| ~ product(u,multiplicative_inverse(u),multiplicative_identity)
| product(multiplicative_identity,multiplicative_inverse(u),v) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g41,plain,
( ~ sum(additive_inverse(b),b,additive_identity)
| ~ sum(multiply(additive_inverse(b),a),u,additive_identity)
| ~ product(additive_inverse(b),a,multiply(additive_inverse(b),a))
| ~ product(b,a,u)
| product(additive_identity,a,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g42,plain,
( ~ defined(additive_inverse(b))
| ~ defined(a)
| product(additive_inverse(b),a,multiply(additive_inverse(b),a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g43,plain,
( ~ sum(multiply(additive_inverse(b),a),additive_identity,additive_identity)
| ~ sum(additive_identity,additive_identity,u)
| ~ sum(additive_identity,additive_identity,additive_identity)
| sum(multiply(additive_inverse(b),a),u,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g44,plain,
( ~ sum(additive_inverse(b),b,additive_identity)
| ~ product(additive_inverse(b),a,multiply(additive_inverse(b),a))
| ~ product(b,a,u)
| ~ product(additive_identity,a,multiply(additive_identity,a))
| sum(multiply(additive_inverse(b),a),u,multiply(additive_identity,a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g45,plain,
( ~ sum(multiply(additive_inverse(b),a),u,multiply(additive_identity,a))
| ~ sum(u,additive_identity,additive_identity)
| ~ sum(multiply(additive_identity,a),additive_identity,additive_identity)
| sum(multiply(additive_inverse(b),a),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g46,plain,
( ~ sum(additive_identity,additive_identity,u)
| ~ sum(additive_identity,additive_identity,additive_identity)
| ~ product(additive_identity,multiplicative_inverse(a),additive_identity)
| ~ product(additive_identity,multiplicative_inverse(a),additive_identity)
| product(u,multiplicative_inverse(a),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g47,plain,
( ~ product(multiplicative_inverse(a),multiplicative_inverse(b),v)
| ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(multiplicative_inverse(b),u,a)
| product(v,u,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD012-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n018.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 6 20:44:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.23/1.18 % symbols: 16
% 6.23/1.18 % clauses: 35
% 6.23/1.18 % start clauses: 5
% 6.23/1.18 % iterative deepening steps: 790
% 6.23/1.18 % maximum path limit: 3
% 6.23/1.18 % literal attempts: 1578942
% 6.23/1.18 % depth failures: 975797
% 6.23/1.18 % regularity failures: 17158
% 6.23/1.18 % tautology failures: 58269
% 6.23/1.18 % reductions: 353959
% 6.23/1.18 % extensions: 1222960
% 6.23/1.18 % SAT variables: 146582
% 6.23/1.18 % SAT clauses: 374833
% 6.23/1.18 % WalkSAT solutions: 374824
% 6.23/1.18 % CDCL solutions: 9
% 6.23/1.18 % SZS status Unsatisfiable for theBenchmark
% 6.23/1.18 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------