TSTP Solution File: RNG004-1 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : RNG004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n028.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 20:40:09 EDT 2022
% Result : Unsatisfiable 64.96s 8.92s
% Output : Proof 64.96s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(c,d),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d)]) ).
cnf(g1,plain,
( ~ sPE(d,c)
| sPE(c,d) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
product(additive_inverse(a),additive_inverse(b),d),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_inverse_times_b_inverse)]) ).
cnf(g3,plain,
sum(d,additive_identity,d),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity2)]) ).
cnf(g4,plain,
product(a,b,c),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b)]) ).
cnf(g5,plain,
sPE(additive_identity,additive_identity),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
sPE(a,a),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
sum(additive_identity,a,a),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity1)]) ).
cnf(g8,plain,
product(additive_identity,b,multiply(additive_identity,b)),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).
cnf(g9,plain,
sum(c,additive_inverse(c),additive_identity),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',right_inverse)]) ).
cnf(g10,plain,
sum(b,additive_inverse(b),additive_identity),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',right_inverse)]) ).
cnf(g11,plain,
product(a,additive_identity,multiply(a,additive_identity)),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).
cnf(g12,plain,
sum(b,additive_identity,b),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity2)]) ).
cnf(g13,plain,
( ~ sum(d,additive_identity,d)
| ~ sum(d,additive_identity,c)
| sPE(d,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',addition_is_well_defined)]) ).
cnf(g14,plain,
sum(additive_inverse(b),b,additive_identity),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',left_inverse)]) ).
cnf(g15,plain,
product(a,additive_inverse(b),multiply(a,additive_inverse(b))),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).
cnf(g16,plain,
sum(additive_inverse(a),a,additive_identity),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',left_inverse)]) ).
cnf(g17,plain,
product(additive_identity,additive_inverse(b),multiply(additive_identity,additive_inverse(b))),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).
cnf(g18,plain,
sum(additive_identity,b,b),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity1)]) ).
cnf(g19,plain,
sum(additive_identity,multiply(additive_identity,additive_inverse(b)),multiply(additive_identity,additive_inverse(b))),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity1)]) ).
cnf(g20,plain,
sum(multiply(additive_identity,additive_inverse(b)),additive_identity,multiply(additive_identity,additive_inverse(b))),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity2)]) ).
cnf(g21,plain,
( ~ sum(additive_identity,b,b)
| ~ product(a,additive_identity,multiply(a,additive_identity))
| ~ product(a,b,c)
| ~ product(a,b,c)
| sum(multiply(a,additive_identity),c,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity1)]) ).
cnf(g22,plain,
sum(multiply(a,additive_identity),additive_identity,multiply(a,additive_identity)),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity2)]) ).
cnf(g23,plain,
product(additive_identity,additive_identity,multiply(additive_identity,additive_identity)),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).
cnf(g24,plain,
( ~ sum(multiply(a,additive_identity),additive_identity,multiply(a,additive_identity))
| ~ sum(multiply(a,additive_identity),additive_identity,additive_identity)
| sPE(multiply(a,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',addition_is_well_defined)]) ).
cnf(g25,plain,
( ~ sum(b,additive_identity,b)
| ~ sum(multiply(additive_identity,b),multiply(additive_identity,additive_identity),additive_identity)
| ~ product(additive_identity,b,multiply(additive_identity,b))
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| product(additive_identity,b,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity2)]) ).
cnf(g26,plain,
( ~ sum(additive_identity,a,a)
| ~ product(additive_identity,b,add(multiply(additive_identity,b),multiply(additive_identity,additive_identity)))
| ~ product(a,b,c)
| ~ product(a,b,c)
| sum(add(multiply(additive_identity,b),multiply(additive_identity,additive_identity)),c,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity3)]) ).
cnf(g27,plain,
( ~ sum(b,additive_identity,b)
| ~ sum(multiply(additive_identity,b),multiply(additive_identity,additive_identity),add(multiply(additive_identity,b),multiply(additive_identity,additive_identity)))
| ~ product(additive_identity,b,multiply(additive_identity,b))
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| product(additive_identity,b,add(multiply(additive_identity,b),multiply(additive_identity,additive_identity))) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity2)]) ).
cnf(g28,plain,
sum(multiply(additive_identity,b),multiply(additive_identity,additive_identity),add(multiply(additive_identity,b),multiply(additive_identity,additive_identity))),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_addition)]) ).
cnf(g29,plain,
( ~ sum(b,additive_inverse(b),additive_identity)
| ~ sum(additive_identity,multiply(additive_identity,additive_inverse(b)),multiply(additive_identity,additive_inverse(b)))
| ~ product(additive_identity,b,additive_identity)
| ~ product(additive_identity,additive_inverse(b),multiply(additive_identity,additive_inverse(b)))
| product(additive_identity,additive_identity,multiply(additive_identity,additive_inverse(b))) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity2)]) ).
cnf(g30,plain,
sum(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,additive_identity)),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity2)]) ).
cnf(g31,plain,
( ~ sum(additive_identity,a,a)
| ~ sum(multiply(additive_identity,additive_inverse(b)),additive_identity,multiply(additive_identity,additive_inverse(b)))
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_inverse(b)))
| ~ product(a,additive_identity,additive_identity)
| product(a,additive_identity,multiply(additive_identity,additive_inverse(b))) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity4)]) ).
cnf(g32,plain,
( ~ sPE(a,a)
| ~ sPE(additive_identity,additive_identity)
| ~ sPE(multiply(a,additive_identity),additive_identity)
| ~ product(a,additive_identity,multiply(a,additive_identity))
| product(a,additive_identity,additive_identity) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| ~ product(additive_inverse(a),additive_inverse(b),d)
| ~ product(a,additive_inverse(b),multiply(a,additive_inverse(b)))
| ~ product(additive_identity,additive_inverse(b),multiply(additive_identity,additive_inverse(b)))
| sum(d,multiply(a,additive_inverse(b)),multiply(additive_identity,additive_inverse(b))) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity3)]) ).
cnf(g34,plain,
( ~ sum(additive_identity,b,b)
| ~ product(a,additive_identity,multiply(additive_identity,additive_inverse(b)))
| ~ product(a,b,c)
| ~ product(a,b,c)
| sum(multiply(additive_identity,additive_inverse(b)),c,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity1)]) ).
cnf(g35,plain,
( ~ sum(d,multiply(a,additive_inverse(b)),multiply(additive_identity,additive_inverse(b)))
| ~ sum(multiply(a,additive_inverse(b)),c,additive_identity)
| ~ sum(multiply(additive_identity,additive_inverse(b)),c,c)
| sum(d,additive_identity,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_addition1)]) ).
cnf(g36,plain,
( ~ sum(multiply(a,additive_identity),c,c)
| ~ sum(c,additive_inverse(c),additive_identity)
| ~ sum(c,additive_inverse(c),additive_identity)
| sum(multiply(a,additive_identity),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_addition1)]) ).
cnf(g37,plain,
( ~ sum(additive_inverse(b),b,additive_identity)
| ~ product(a,additive_inverse(b),multiply(a,additive_inverse(b)))
| ~ product(a,b,c)
| ~ product(a,additive_identity,additive_identity)
| sum(multiply(a,additive_inverse(b)),c,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity1)]) ).
cnf(g38,plain,
( ~ sum(add(multiply(additive_identity,b),multiply(additive_identity,additive_identity)),c,c)
| ~ sum(c,additive_inverse(c),additive_identity)
| ~ sum(c,additive_inverse(c),additive_identity)
| sum(add(multiply(additive_identity,b),multiply(additive_identity,additive_identity)),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_addition1)]) ).
cnf(g39,plain,
( ~ sum(multiply(additive_identity,b),multiply(additive_identity,additive_identity),add(multiply(additive_identity,b),multiply(additive_identity,additive_identity)))
| ~ sum(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,additive_identity))
| ~ sum(add(multiply(additive_identity,b),multiply(additive_identity,additive_identity)),additive_identity,additive_identity)
| sum(multiply(additive_identity,b),multiply(additive_identity,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_addition1)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n028.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 May 30 13:54:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 64.96/8.92 % symbols: 12
% 64.96/8.92 % clauses: 28
% 64.96/8.92 % start clauses: 1
% 64.96/8.92 % iterative deepening steps: 3251
% 64.96/8.92 % maximum path limit: 7
% 64.96/8.92 % literal attempts: 7325678
% 64.96/8.92 % depth failures: 5206343
% 64.96/8.92 % regularity failures: 82741
% 64.96/8.92 % tautology failures: 150481
% 64.96/8.92 % reductions: 0
% 64.96/8.92 % extensions: 7324504
% 64.96/8.92 % SAT variables: 889022
% 64.96/8.92 % SAT clauses: 2420902
% 64.96/8.92 % WalkSAT solutions: 2420900
% 64.96/8.92 % CDCL solutions: 0
% 64.96/8.92 % SZS status Unsatisfiable for theBenchmark
% 64.96/8.92 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------