TSTP Solution File: RNG007-1 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : RNG007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n022.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 : Mon Jul 18 20:40:10 EDT 2022
% Result : Unsatisfiable 4.95s 1.00s
% Output : Proof 4.95s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sum(a,a,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_plus_a_is_id)]) ).
cnf(g1,plain,
sum(additive_identity,a,a),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity1)]) ).
cnf(g2,plain,
( ~ sum(additive_identity,a,a)
| sum(a,additive_identity,a) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',commutativity_of_addition)]) ).
cnf(g3,plain,
sum(additive_inverse(a),a,additive_identity),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',left_inverse)]) ).
cnf(g4,plain,
sum(a,additive_inverse(a),additive_identity),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',right_inverse)]) ).
cnf(g5,plain,
product(a,a,a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_squared_is_x)]) ).
cnf(g6,plain,
( ~ sum(a,additive_identity,a)
| ~ sum(additive_identity,additive_inverse(a),a)
| ~ sum(a,additive_inverse(a),additive_identity)
| sum(a,a,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_addition1)]) ).
cnf(g7,plain,
product(additive_identity,additive_identity,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_squared_is_x)]) ).
cnf(g8,plain,
product(additive_inverse(a),additive_inverse(a),additive_inverse(a)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_squared_is_x)]) ).
cnf(g9,plain,
product(additive_identity,a,multiply(additive_identity,a)),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).
cnf(g10,plain,
product(additive_inverse(a),a,multiply(additive_inverse(a),a)),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).
cnf(g11,plain,
sum(additive_identity,additive_inverse(a),additive_inverse(a)),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity1)]) ).
cnf(g12,plain,
product(additive_inverse(a),additive_identity,multiply(additive_inverse(a),additive_identity)),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).
cnf(g13,plain,
( ~ sum(additive_identity,a,a)
| ~ product(additive_identity,a,multiply(additive_identity,a))
| ~ product(a,a,a)
| ~ product(a,a,a)
| sum(multiply(additive_identity,a),a,a) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity3)]) ).
cnf(g14,plain,
( ~ sum(a,additive_identity,a)
| ~ sum(multiply(additive_identity,a),additive_identity,additive_identity)
| ~ product(additive_identity,a,multiply(additive_identity,a))
| ~ product(additive_identity,additive_identity,additive_identity)
| product(additive_identity,a,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity2)]) ).
cnf(g15,plain,
( ~ sum(additive_identity,multiply(additive_identity,a),additive_identity)
| sum(multiply(additive_identity,a),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',commutativity_of_addition)]) ).
cnf(g16,plain,
( ~ sum(multiply(additive_identity,a),a,a)
| sum(a,multiply(additive_identity,a),a) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',commutativity_of_addition)]) ).
cnf(g17,plain,
( ~ sum(a,additive_inverse(a),additive_identity)
| ~ product(additive_inverse(a),a,multiply(additive_inverse(a),a))
| ~ product(additive_inverse(a),additive_inverse(a),additive_inverse(a))
| ~ product(additive_inverse(a),additive_identity,multiply(additive_inverse(a),additive_identity))
| sum(multiply(additive_inverse(a),a),additive_inverse(a),multiply(additive_inverse(a),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity1)]) ).
cnf(g18,plain,
( ~ sum(a,additive_inverse(a),additive_identity)
| ~ product(a,a,a)
| ~ product(additive_inverse(a),a,multiply(additive_inverse(a),a))
| ~ product(additive_identity,a,additive_identity)
| sum(a,multiply(additive_inverse(a),a),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity3)]) ).
cnf(g19,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(a,multiply(additive_identity,a),a)
| sum(additive_identity,multiply(additive_identity,a),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_addition2)]) ).
cnf(g20,plain,
( ~ sum(multiply(additive_inverse(a),additive_identity),additive_inverse(a),additive_inverse(a))
| ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(additive_inverse(a),a,additive_identity)
| sum(multiply(additive_inverse(a),additive_identity),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_addition1)]) ).
cnf(g21,plain,
( ~ sum(additive_identity,additive_inverse(a),additive_inverse(a))
| ~ product(additive_inverse(a),additive_identity,multiply(additive_inverse(a),additive_identity))
| ~ product(additive_inverse(a),additive_inverse(a),additive_inverse(a))
| ~ product(additive_inverse(a),additive_inverse(a),additive_inverse(a))
| sum(multiply(additive_inverse(a),additive_identity),additive_inverse(a),additive_inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity1)]) ).
cnf(g22,plain,
( ~ sum(a,multiply(additive_inverse(a),a),additive_identity)
| ~ sum(a,multiply(additive_inverse(a),additive_identity),a)
| ~ sum(multiply(additive_inverse(a),a),additive_inverse(a),multiply(additive_inverse(a),additive_identity))
| sum(additive_identity,additive_inverse(a),a) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_addition2)]) ).
cnf(g23,plain,
( ~ sum(a,additive_identity,a)
| ~ sum(a,additive_identity,a)
| ~ sum(additive_identity,multiply(additive_inverse(a),additive_identity),additive_identity)
| sum(a,multiply(additive_inverse(a),additive_identity),a) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_addition2)]) ).
cnf(g24,plain,
( ~ sum(multiply(additive_inverse(a),additive_identity),additive_identity,additive_identity)
| sum(additive_identity,multiply(additive_inverse(a),additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',commutativity_of_addition)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon May 30 08:12:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 4.95/1.00 % symbols: 9
% 4.95/1.00 % clauses: 27
% 4.95/1.00 % start clauses: 1
% 4.95/1.00 % iterative deepening steps: 1628
% 4.95/1.00 % maximum path limit: 5
% 4.95/1.00 % literal attempts: 839381
% 4.95/1.00 % depth failures: 590405
% 4.95/1.00 % regularity failures: 8354
% 4.95/1.00 % tautology failures: 20026
% 4.95/1.00 % reductions: 0
% 4.95/1.00 % extensions: 838331
% 4.95/1.00 % SAT variables: 100467
% 4.95/1.00 % SAT clauses: 261590
% 4.95/1.00 % WalkSAT solutions: 261591
% 4.95/1.00 % CDCL solutions: 0
% 4.95/1.00 % SZS status Unsatisfiable for theBenchmark
% 4.95/1.00 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------