TSTP Solution File: FLD051-4 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : FLD051-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n027.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 02:26:34 EDT 2022
% Result : Unsatisfiable 154.04s 19.98s
% Output : Proof 154.33s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sum(additive_identity,b,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_10)]) ).
cnf(g1,plain,
~ sum(additive_identity,c,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_11)]) ).
cnf(g2,plain,
~ sum(additive_identity,d,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_12)]) ).
cnf(g3,plain,
product(s,multiplicative_inverse(t),u),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_13)]) ).
cnf(g4,plain,
product(a,multiplicative_inverse(b),s),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_14)]) ).
cnf(g5,plain,
product(c,multiplicative_inverse(d),t),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_15)]) ).
cnf(g6,plain,
product(a,d,k),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_16)]) ).
cnf(g7,plain,
product(b,c,l),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_17)]) ).
cnf(g8,plain,
~ product(k,multiplicative_inverse(l),u),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_18)]) ).
cnf(g9,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(g10,plain,
( ~ defined(d)
| sum(additive_identity,d,additive_identity)
| product(multiplicative_inverse(d),d,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g11,plain,
( ~ product(s,multiplicative_inverse(t),u)
| product(multiplicative_inverse(t),s,u) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g12,plain,
( ~ product(multiplicative_inverse(l),k,u)
| product(k,multiplicative_inverse(l),u) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g13,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g14,plain,
defined(b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined)]) ).
cnf(g15,plain,
defined(c),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined)]) ).
cnf(g16,plain,
defined(d),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined)]) ).
cnf(g17,plain,
( ~ defined(multiplicative_inverse(t))
| product(multiplicative_identity,multiplicative_inverse(t),multiplicative_inverse(t)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g18,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g19,plain,
( ~ defined(t)
| sum(additive_identity,t,additive_identity)
| product(multiplicative_inverse(t),t,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g20,plain,
( ~ defined(c)
| sum(additive_inverse(c),c,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).
cnf(g21,plain,
( ~ defined(t)
| sum(additive_identity,t,additive_identity)
| defined(multiplicative_inverse(t)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse)]) ).
cnf(g22,plain,
( ~ defined(c)
| product(multiplicative_identity,c,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g23,plain,
( ~ defined(l)
| sum(additive_identity,l,additive_identity)
| product(multiplicative_inverse(l),l,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g24,plain,
( ~ defined(d)
| product(multiplicative_identity,d,d) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g25,plain,
( ~ defined(l)
| sum(additive_identity,l,l) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g26,plain,
( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(b,c,l)
| ~ product(multiplicative_identity,c,c)
| product(multiplicative_inverse(b),l,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g27,plain,
( ~ product(multiplicative_inverse(b),l,c)
| product(l,multiplicative_inverse(b),c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g28,plain,
defined(additive_identity),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_identity)]) ).
cnf(g29,plain,
defined(a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined)]) ).
cnf(g30,plain,
defined(t),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_is_defined)]) ).
cnf(g31,plain,
( ~ defined(t)
| ~ defined(t)
| less_or_equal(t,t)
| less_or_equal(t,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_order_relation)]) ).
cnf(g32,plain,
( ~ less_or_equal(t,t)
| ~ less_or_equal(t,t)
| sum(additive_identity,t,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',antisymmetry_of_order_relation)]) ).
cnf(g33,plain,
( ~ sum(additive_identity,t,t)
| sum(t,additive_identity,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g34,plain,
defined(l),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_is_defined)]) ).
cnf(g35,plain,
( ~ sum(additive_identity,l,l)
| sum(l,additive_identity,l) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g36,plain,
( ~ sum(additive_identity,additive_inverse(c),add(additive_identity,additive_inverse(c)))
| ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(additive_inverse(c),c,additive_identity)
| sum(add(additive_identity,additive_inverse(c)),c,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g37,plain,
( ~ defined(additive_identity)
| ~ defined(additive_inverse(c))
| sum(additive_identity,additive_inverse(c),add(additive_identity,additive_inverse(c))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).
cnf(g38,plain,
( ~ defined(c)
| defined(additive_inverse(c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).
cnf(g39,plain,
( ~ sum(l,additive_identity,l)
| ~ sum(l,additive_identity,l)
| ~ sum(additive_identity,l,additive_identity)
| sum(l,l,l) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g40,plain,
( ~ product(multiplicative_identity,c,c)
| product(c,multiplicative_identity,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g41,plain,
( ~ sum(t,additive_identity,t)
| ~ sum(t,additive_identity,t)
| ~ sum(additive_identity,t,additive_identity)
| sum(t,t,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g42,plain,
( ~ product(a,multiplicative_inverse(b),s)
| ~ product(a,multiplicative_identity,a)
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| product(s,b,a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g43,plain,
( ~ product(multiplicative_identity,a,a)
| product(a,multiplicative_identity,a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g44,plain,
( ~ sum(add(additive_identity,additive_inverse(c)),c,additive_identity)
| ~ sum(add(additive_identity,additive_inverse(c)),c,additive_identity)
| ~ sum(c,c,c)
| sum(additive_identity,c,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g45,plain,
( ~ product(c,multiplicative_inverse(d),t)
| ~ product(c,multiplicative_identity,c)
| ~ product(multiplicative_inverse(d),d,multiplicative_identity)
| product(t,d,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g46,plain,
( ~ sum(t,t,t)
| ~ product(t,d,c)
| ~ product(t,d,c)
| ~ product(t,d,c)
| sum(c,c,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g47,plain,
( ~ product(multiplicative_inverse(t),t,multiplicative_identity)
| ~ product(t,d,c)
| ~ product(multiplicative_identity,d,d)
| product(multiplicative_inverse(t),c,d) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g48,plain,
( ~ product(multiplicative_inverse(t),c,d)
| product(c,multiplicative_inverse(t),d) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g49,plain,
( ~ sum(l,l,l)
| ~ product(l,multiplicative_inverse(b),c)
| ~ product(l,multiplicative_inverse(b),c)
| ~ product(l,multiplicative_inverse(b),c)
| sum(c,c,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g50,plain,
( ~ product(multiplicative_inverse(l),l,multiplicative_identity)
| ~ product(l,multiplicative_inverse(t),multiply(l,multiplicative_inverse(t)))
| ~ product(multiplicative_identity,multiplicative_inverse(t),multiplicative_inverse(t))
| product(multiplicative_inverse(l),multiply(l,multiplicative_inverse(t)),multiplicative_inverse(t)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g51,plain,
( ~ defined(l)
| ~ defined(multiplicative_inverse(t))
| product(l,multiplicative_inverse(t),multiply(l,multiplicative_inverse(t))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g52,plain,
( ~ product(s,multiply(l,multiplicative_inverse(t)),k)
| product(multiply(l,multiplicative_inverse(t)),s,k) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g53,plain,
( ~ product(multiplicative_inverse(l),multiply(l,multiplicative_inverse(t)),multiplicative_inverse(t))
| ~ product(multiply(l,multiplicative_inverse(t)),s,k)
| ~ product(multiplicative_inverse(t),s,u)
| product(multiplicative_inverse(l),k,u) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g54,plain,
( ~ product(s,b,a)
| ~ product(b,d,multiply(l,multiplicative_inverse(t)))
| ~ product(a,d,k)
| product(s,multiply(l,multiplicative_inverse(t)),k) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g55,plain,
( ~ product(b,c,l)
| ~ product(c,multiplicative_inverse(t),d)
| ~ product(l,multiplicative_inverse(t),multiply(l,multiplicative_inverse(t)))
| product(b,d,multiply(l,multiplicative_inverse(t))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : FLD051-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14 % Command : satcop --statistics %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 7 01:27:10 EDT 2022
% 0.14/0.36 % CPUTime :
% 154.04/19.98 % symbols: 21
% 154.04/19.98 % clauses: 44
% 154.04/19.98 % start clauses: 9
% 154.04/19.98 % iterative deepening steps: 7031
% 154.04/19.98 % maximum path limit: 4
% 154.04/19.98 % literal attempts: 32693115
% 154.04/19.98 % depth failures: 22218477
% 154.04/19.98 % regularity failures: 412017
% 154.04/19.98 % tautology failures: 1175553
% 154.04/19.98 % reductions: 4652346
% 154.04/19.98 % extensions: 28028323
% 154.04/19.98 % SAT variables: 1397039
% 154.04/19.98 % SAT clauses: 3719207
% 154.04/19.98 % WalkSAT solutions: 3718745
% 154.04/19.98 % CDCL solutions: 458
% 154.04/19.98 % SZS status Unsatisfiable for theBenchmark
% 154.04/19.98 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------