TSTP Solution File: BOO013-3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : BOO013-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n025.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 : Thu Jul 14 23:48:43 EDT 2022
% Result : Unsatisfiable 1.56s 0.62s
% Output : Proof 1.56s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
sum(x,y,multiplicative_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_to_multiplicative_identity1)]) ).
cnf(g1,plain,
sum(x,z,multiplicative_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_to_multiplicative_identity2)]) ).
cnf(g2,plain,
product(x,y,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_to_additive_identity1)]) ).
cnf(g3,plain,
product(x,z,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_to_additive_identity2)]) ).
cnf(g4,plain,
~ sPE(y,z),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_both_inverse_are_equal)]) ).
cnf(g5,plain,
product(x,multiplicative_identity,x),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplicative_identity2)]) ).
cnf(g6,plain,
product(z,inverse(z),additive_identity),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplicative_inverse2)]) ).
cnf(g7,plain,
sPE(multiplicative_identity,multiplicative_identity),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
sum(z,inverse(z),multiplicative_identity),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',additive_inverse2)]) ).
cnf(g9,plain,
( ~ sum(z,inverse(z),multiplicative_identity)
| ~ product(x,z,additive_identity)
| ~ product(x,inverse(z),multiply(x,inverse(z)))
| ~ product(x,multiplicative_identity,x)
| sum(additive_identity,multiply(x,inverse(z)),x) ),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',distributivity1)]) ).
cnf(g10,plain,
product(x,inverse(z),multiply(x,inverse(z))),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',closure_of_multiplication)]) ).
cnf(g11,plain,
( ~ sum(additive_identity,multiply(x,inverse(z)),x)
| sum(multiply(x,inverse(z)),additive_identity,x) ),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',commutativity_of_addition)]) ).
cnf(g12,plain,
product(y,inverse(y),additive_identity),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplicative_inverse2)]) ).
cnf(g13,plain,
product(x,inverse(y),multiply(x,inverse(y))),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',closure_of_multiplication)]) ).
cnf(g14,plain,
( ~ sum(additive_identity,multiply(x,inverse(y)),x)
| sum(multiply(x,inverse(y)),additive_identity,x) ),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',commutativity_of_addition)]) ).
cnf(g15,plain,
product(inverse(z),z,additive_identity),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplicative_inverse1)]) ).
cnf(g16,plain,
sPE(inverse(inverse(z)),z),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_is_an_involution)]) ).
cnf(g17,plain,
product(inverse(z),x,multiply(inverse(z),x)),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',closure_of_multiplication)]) ).
cnf(g18,plain,
( ~ sum(x,y,multiplicative_identity)
| ~ product(x,inverse(y),multiply(x,inverse(y)))
| ~ product(y,inverse(y),additive_identity)
| ~ product(multiplicative_identity,inverse(y),inverse(y))
| sum(multiply(x,inverse(y)),additive_identity,inverse(y)) ),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',distributivity3)]) ).
cnf(g19,plain,
product(multiplicative_identity,inverse(y),inverse(y)),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplicative_identity1)]) ).
cnf(g20,plain,
( ~ sum(multiply(x,inverse(y)),additive_identity,inverse(y))
| ~ sum(multiply(x,inverse(y)),additive_identity,x)
| sPE(inverse(y),x) ),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',addition_is_well_defined)]) ).
cnf(g21,plain,
( ~ sum(x,z,multiplicative_identity)
| ~ product(inverse(z),x,multiply(inverse(z),x))
| ~ product(inverse(z),z,additive_identity)
| ~ product(inverse(z),multiplicative_identity,x)
| sum(multiply(inverse(z),x),additive_identity,x) ),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',distributivity1)]) ).
cnf(g22,plain,
sum(y,inverse(y),multiplicative_identity),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',additive_inverse2)]) ).
cnf(g23,plain,
( ~ sum(x,z,multiplicative_identity)
| ~ product(inverse(z),x,multiply(inverse(z),x))
| ~ product(inverse(z),z,additive_identity)
| ~ product(inverse(z),multiplicative_identity,inverse(z))
| sum(multiply(inverse(z),x),additive_identity,inverse(z)) ),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',distributivity1)]) ).
cnf(g24,plain,
product(inverse(z),multiplicative_identity,inverse(z)),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplicative_identity2)]) ).
cnf(g25,plain,
( ~ sum(multiply(inverse(z),x),additive_identity,inverse(z))
| ~ sum(multiply(inverse(z),x),additive_identity,x)
| sPE(inverse(z),x) ),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',addition_is_well_defined)]) ).
cnf(g26,plain,
( ~ sum(y,inverse(y),multiplicative_identity)
| ~ product(x,y,additive_identity)
| ~ product(x,inverse(y),multiply(x,inverse(y)))
| ~ product(x,multiplicative_identity,x)
| sum(additive_identity,multiply(x,inverse(y)),x) ),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',distributivity1)]) ).
cnf(g27,plain,
( ~ sum(x,z,multiplicative_identity)
| ~ sum(multiply(x,inverse(z)),additive_identity,x)
| ~ product(x,inverse(z),multiply(x,inverse(z)))
| ~ product(z,inverse(z),additive_identity)
| product(multiplicative_identity,inverse(z),x) ),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',distributivity4)]) ).
cnf(g28,plain,
( ~ product(multiplicative_identity,inverse(z),x)
| product(inverse(z),multiplicative_identity,x) ),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',commutativity_of_multiplication)]) ).
cnf(g29,plain,
sPE(inverse(inverse(y)),y),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_is_an_involution)]) ).
cnf(g30,plain,
product(inverse(inverse(y)),multiplicative_identity,inverse(inverse(y))),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplicative_identity2)]) ).
cnf(g31,plain,
( ~ sPE(inverse(inverse(y)),inverse(x))
| ~ sPE(multiplicative_identity,multiplicative_identity)
| ~ sPE(inverse(inverse(y)),y)
| ~ product(inverse(inverse(y)),multiplicative_identity,inverse(inverse(y)))
| product(inverse(x),multiplicative_identity,y) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(inverse(y),x)
| sPE(inverse(inverse(y)),inverse(x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
product(inverse(inverse(z)),multiplicative_identity,inverse(inverse(z))),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplicative_identity2)]) ).
cnf(g34,plain,
( ~ sPE(inverse(z),x)
| sPE(inverse(inverse(z)),inverse(x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ product(inverse(x),multiplicative_identity,y)
| ~ product(inverse(x),multiplicative_identity,z)
| sPE(y,z) ),
inference(ground_cnf,[],[file('Axioms/BOO002-0.ax',multiplication_is_well_defined)]) ).
cnf(g36,plain,
( ~ sPE(inverse(inverse(z)),inverse(x))
| ~ sPE(multiplicative_identity,multiplicative_identity)
| ~ sPE(inverse(inverse(z)),z)
| ~ product(inverse(inverse(z)),multiplicative_identity,inverse(inverse(z)))
| product(inverse(x),multiplicative_identity,z) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO013-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n025.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 : Wed Jun 1 23:31:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.56/0.62 % symbols: 12
% 1.56/0.62 % clauses: 36
% 1.56/0.62 % start clauses: 5
% 1.56/0.62 % iterative deepening steps: 382
% 1.56/0.62 % maximum path limit: 3
% 1.56/0.62 % literal attempts: 473594
% 1.56/0.62 % depth failures: 355905
% 1.56/0.62 % regularity failures: 1657
% 1.56/0.62 % tautology failures: 27998
% 1.56/0.62 % reductions: 73013
% 1.56/0.62 % extensions: 399716
% 1.56/0.62 % SAT variables: 25173
% 1.56/0.62 % SAT clauses: 73382
% 1.56/0.62 % WalkSAT solutions: 73375
% 1.56/0.62 % CDCL solutions: 6
% 1.56/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.56/0.62 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------