TSTP Solution File: RNG039-1 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : RNG039-1 : 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 20:40:15 EDT 2022
% Result : Unsatisfiable 2.97s 0.77s
% Output : Proof 2.97s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
product(a,b,c),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b)]) ).
cnf(g1,plain,
product(b,a,d),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a)]) ).
cnf(g2,plain,
~ sPE(c,d),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d)]) ).
cnf(g3,plain,
( ~ product(a,b,c)
| ~ product(a,b,c)
| sPE(c,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',multiplication_is_well_defined)]) ).
cnf(g4,plain,
( ~ product(b,a,c)
| ~ product(b,a,d)
| sPE(c,d) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',multiplication_is_well_defined)]) ).
cnf(g5,plain,
( ~ product(a,a,a)
| ~ product(a,b,c)
| ~ product(a,b,c)
| product(a,c,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication1)]) ).
cnf(g6,plain,
product(a,a,a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71)]) ).
cnf(g7,plain,
sum(b,add(b,a),a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorbtion1)]) ).
cnf(g8,plain,
product(b,b,b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71)]) ).
cnf(g9,plain,
( ~ product(b,a,d)
| ~ product(b,a,d)
| ~ product(a,a,a)
| product(d,a,d) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).
cnf(g10,plain,
sum(a,a,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32)]) ).
cnf(g11,plain,
sum(additive_identity,a,a),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',additive_identity1)]) ).
cnf(g12,plain,
sum(c,c,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32)]) ).
cnf(g13,plain,
sPE(a,a),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
product(add(b,a),a,add(d,a)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69)]) ).
cnf(g15,plain,
product(d,d,d),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71)]) ).
cnf(g16,plain,
product(b,a,multiply(b,a)),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).
cnf(g17,plain,
product(d,b,multiply(b,c)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56)]) ).
cnf(g18,plain,
product(b,d,d),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40)]) ).
cnf(g19,plain,
( ~ product(b,a,multiply(b,a))
| ~ product(b,a,d)
| sPE(multiply(b,a),d) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',multiplication_is_well_defined)]) ).
cnf(g20,plain,
( ~ product(b,a,d)
| ~ product(a,b,c)
| ~ product(d,b,multiply(b,c))
| product(b,c,multiply(b,c)) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication1)]) ).
cnf(g21,plain,
( ~ product(b,c,c)
| ~ product(b,c,multiply(b,c))
| sPE(c,multiply(b,c)) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',multiplication_is_well_defined)]) ).
cnf(g22,plain,
( ~ product(a,b,c)
| ~ product(a,b,c)
| ~ product(b,b,b)
| product(c,b,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).
cnf(g23,plain,
( ~ product(b,b,c)
| ~ product(b,b,c)
| ~ product(c,b,c)
| product(b,c,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication1)]) ).
cnf(g24,plain,
( ~ product(a,b,b)
| ~ product(a,b,c)
| ~ product(b,b,b)
| product(b,b,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).
cnf(g25,plain,
( ~ product(b,b,b)
| ~ product(b,d,c)
| ~ product(b,a,d)
| product(b,a,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).
cnf(g26,plain,
( ~ product(a,b,c)
| ~ product(a,b,b)
| ~ product(b,b,b)
| product(c,b,b) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).
cnf(g27,plain,
( ~ sum(b,add(b,a),a)
| sum(add(b,a),b,a) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',commutativity_of_addition)]) ).
cnf(g28,plain,
sum(add(c,add(d,a)),d,add(add(c,add(d,a)),d)),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_addition)]) ).
cnf(g29,plain,
sum(c,add(c,add(d,a)),add(d,a)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorbtion1)]) ).
cnf(g30,plain,
( ~ sum(add(b,a),b,a)
| ~ sum(add(d,a),d,add(c,add(add(c,add(d,a)),d)))
| ~ product(add(b,a),a,add(d,a))
| ~ product(b,a,d)
| product(a,a,add(c,add(add(c,add(d,a)),d))) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity4)]) ).
cnf(g31,plain,
( ~ sum(c,add(c,add(d,a)),add(d,a))
| ~ sum(c,add(add(c,add(d,a)),d),add(c,add(add(c,add(d,a)),d)))
| ~ sum(add(c,add(d,a)),d,add(add(c,add(d,a)),d))
| sum(add(d,a),d,add(c,add(add(c,add(d,a)),d))) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_addition2)]) ).
cnf(g32,plain,
sum(c,add(add(c,add(d,a)),d),add(c,add(add(c,add(d,a)),d))),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_addition)]) ).
cnf(g33,plain,
( ~ product(b,a,d)
| ~ product(a,a,add(c,add(add(c,add(d,a)),d)))
| ~ product(d,a,d)
| product(b,add(c,add(add(c,add(d,a)),d)),d) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication1)]) ).
cnf(g34,plain,
( ~ product(b,add(c,add(add(c,add(d,a)),d)),d)
| ~ product(b,c,c)
| ~ product(add(c,add(add(c,add(d,a)),d)),c,c)
| product(d,c,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).
cnf(g35,plain,
( ~ product(a,a,add(c,add(add(c,add(d,a)),d)))
| ~ product(a,c,c)
| ~ product(a,c,c)
| product(add(c,add(add(c,add(d,a)),d)),c,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).
cnf(g36,plain,
sPE(multiply(b,b),b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35)]) ).
cnf(g37,plain,
( ~ sum(c,c,additive_identity)
| ~ sum(c,c,c)
| ~ product(d,c,c)
| ~ product(d,c,c)
| product(d,additive_identity,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity2)]) ).
cnf(g38,plain,
( ~ product(b,a,multiply(b,a))
| ~ product(b,c,c)
| ~ product(a,c,c)
| product(multiply(b,a),c,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).
cnf(g39,plain,
( ~ sum(a,a,additive_identity)
| ~ product(d,a,d)
| ~ product(d,a,d)
| ~ product(d,additive_identity,c)
| sum(d,d,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity1)]) ).
cnf(g40,plain,
( ~ product(c,b,b)
| ~ product(c,d,c)
| ~ product(b,d,d)
| product(b,d,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication2)]) ).
cnf(g41,plain,
( ~ sum(d,d,c)
| ~ sum(d,d,c)
| ~ product(d,d,d)
| ~ product(d,d,d)
| product(c,d,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity4)]) ).
cnf(g42,plain,
product(a,multiply(b,b),multiply(b,b)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44)]) ).
cnf(g43,plain,
( ~ sPE(a,a)
| ~ sPE(multiply(b,b),b)
| ~ sPE(multiply(b,b),b)
| ~ product(a,multiply(b,b),multiply(b,b))
| product(a,b,b) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g44,plain,
product(additive_identity,c,multiply(additive_identity,c)),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',closure_of_multiplication)]) ).
cnf(g45,plain,
( ~ sum(additive_identity,a,a)
| ~ product(additive_identity,c,multiply(additive_identity,c))
| ~ product(a,c,c)
| ~ product(a,c,c)
| sum(multiply(additive_identity,c),c,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity3)]) ).
cnf(g46,plain,
( ~ sum(multiply(additive_identity,c),c,c)
| sum(c,multiply(additive_identity,c),c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',commutativity_of_addition)]) ).
cnf(g47,plain,
( ~ sum(c,multiply(additive_identity,c),c)
| ~ product(b,c,c)
| ~ product(b,multiply(additive_identity,c),c)
| ~ product(b,c,c)
| sum(c,c,c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',distributivity1)]) ).
cnf(g48,plain,
( ~ product(b,a,d)
| ~ product(a,multiply(b,c),multiply(additive_identity,c))
| ~ product(d,multiply(b,c),c)
| product(b,multiply(additive_identity,c),c) ),
inference(ground_cnf,[],[file('Axioms/RNG001-0.ax',associativity_of_multiplication1)]) ).
cnf(g49,plain,
product(a,multiply(b,c),multiply(additive_identity,c)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44)]) ).
cnf(g50,plain,
( ~ sPE(multiply(b,a),d)
| ~ sPE(c,multiply(b,c))
| ~ sPE(c,c)
| ~ product(multiply(b,a),c,c)
| product(d,multiply(b,c),c) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % 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
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 11:16:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.97/0.77 % symbols: 12
% 2.97/0.77 % clauses: 68
% 2.97/0.77 % start clauses: 3
% 2.97/0.77 % iterative deepening steps: 948
% 2.97/0.77 % maximum path limit: 3
% 2.97/0.77 % literal attempts: 767241
% 2.97/0.77 % depth failures: 530338
% 2.97/0.77 % regularity failures: 1175
% 2.97/0.77 % tautology failures: 41521
% 2.97/0.77 % reductions: 144542
% 2.97/0.77 % extensions: 620773
% 2.97/0.77 % SAT variables: 62062
% 2.97/0.77 % SAT clauses: 151370
% 2.97/0.77 % WalkSAT solutions: 151360
% 2.97/0.77 % CDCL solutions: 4
% 2.97/0.77 % SZS status Unsatisfiable for theBenchmark
% 2.97/0.77 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------