TSTP Solution File: RNG039-2 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : RNG039-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 20:40:16 EDT 2022
% Result : Unsatisfiable 1.76s 0.55s
% Output : Proof 1.76s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
product(a,b,c),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b)]) ).
cnf(g1,plain,
product(b,a,d),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a)]) ).
cnf(g2,plain,
~ equalish(c,d),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d)]) ).
cnf(g3,plain,
( ~ product(b,a,c)
| ~ product(b,a,d)
| equalish(c,d) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined)]) ).
cnf(g4,plain,
( ~ equalish(d,c)
| ~ product(b,a,d)
| product(b,a,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3)]) ).
cnf(g5,plain,
product(b,b,b),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71)]) ).
cnf(g6,plain,
sum(additive_identity,a,a),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1)]) ).
cnf(g7,plain,
sum(b,additive_identity,b),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2)]) ).
cnf(g8,plain,
sum(b,b,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32)]) ).
cnf(g9,plain,
product(a,additive_identity,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity2)]) ).
cnf(g10,plain,
sum(d,d,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32)]) ).
cnf(g11,plain,
( ~ sum(b,b,additive_identity)
| ~ sum(d,d,additive_identity)
| ~ product(b,a,d)
| ~ product(b,a,d)
| product(additive_identity,a,additive_identity) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4)]) ).
cnf(g12,plain,
( ~ sum(b,additive_identity,b)
| ~ product(b,a,d)
| ~ product(additive_identity,a,additive_identity)
| ~ product(b,a,d)
| sum(d,additive_identity,d) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3)]) ).
cnf(g13,plain,
( ~ sum(d,additive_identity,d)
| ~ sum(d,additive_identity,c)
| equalish(d,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined)]) ).
cnf(g14,plain,
( ~ product(b,b,b)
| ~ product(b,a,d)
| ~ product(b,a,d)
| product(b,d,d) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication1)]) ).
cnf(g15,plain,
( ~ product(b,a,d)
| ~ product(a,additive_identity,c)
| ~ product(d,additive_identity,additive_identity)
| product(b,c,additive_identity) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication1)]) ).
cnf(g16,plain,
product(d,additive_identity,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity2)]) ).
cnf(g17,plain,
product(b,multiply(a,d),d),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49)]) ).
cnf(g18,plain,
product(c,b,c),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41)]) ).
cnf(g19,plain,
sum(c,c,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32)]) ).
cnf(g20,plain,
sum(additive_identity,b,b),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1)]) ).
cnf(g21,plain,
( ~ sum(b,additive_identity,b)
| ~ product(a,b,c)
| ~ product(a,additive_identity,additive_identity)
| ~ product(a,b,c)
| sum(c,additive_identity,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1)]) ).
cnf(g22,plain,
( ~ sum(c,c,additive_identity)
| ~ sum(c,c,c)
| ~ product(c,c,c)
| ~ product(c,c,c)
| product(c,additive_identity,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2)]) ).
cnf(g23,plain,
( ~ sum(c,c,additive_identity)
| ~ sum(c,c,c)
| ~ product(c,c,c)
| ~ product(c,c,c)
| product(additive_identity,c,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4)]) ).
cnf(g24,plain,
product(b,c,multiply(b,c)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication)]) ).
cnf(g25,plain,
( ~ sum(d,d,additive_identity)
| ~ sum(d,d,additive_identity)
| ~ sum(additive_identity,d,c)
| sum(d,additive_identity,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition1)]) ).
cnf(g26,plain,
product(a,multiply(b,c),c),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46)]) ).
cnf(g27,plain,
product(a,d,multiply(a,d)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication)]) ).
cnf(g28,plain,
product(b,multiply(b,c),multiply(b,c)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43)]) ).
cnf(g29,plain,
product(additive_identity,d,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1)]) ).
cnf(g30,plain,
( ~ sum(c,multiply(a,d),c)
| ~ product(b,c,c)
| ~ product(b,multiply(a,d),d)
| ~ product(b,c,c)
| sum(c,d,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1)]) ).
cnf(g31,plain,
( ~ sum(b,b,additive_identity)
| ~ sum(c,c,c)
| ~ product(a,b,c)
| ~ product(a,b,c)
| product(a,additive_identity,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2)]) ).
cnf(g32,plain,
( ~ sum(c,c,additive_identity)
| ~ sum(c,c,c)
| ~ sum(c,d,c)
| sum(additive_identity,d,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2)]) ).
cnf(g33,plain,
( ~ product(a,b,c)
| ~ product(a,multiply(b,c),c)
| ~ product(b,multiply(b,c),multiply(b,c))
| product(c,multiply(b,c),c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication2)]) ).
cnf(g34,plain,
( ~ product(c,b,c)
| ~ product(c,multiply(b,c),c)
| ~ product(b,c,multiply(b,c))
| product(c,c,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication2)]) ).
cnf(g35,plain,
( ~ product(a,b,c)
| ~ product(a,d,multiply(a,d))
| ~ product(b,d,d)
| product(c,d,multiply(a,d)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication2)]) ).
cnf(g36,plain,
( ~ sum(c,c,c)
| ~ product(c,d,c)
| ~ product(c,d,multiply(a,d))
| ~ product(c,d,c)
| sum(c,multiply(a,d),c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3)]) ).
cnf(g37,plain,
equalish(add(c,c),additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34)]) ).
cnf(g38,plain,
( ~ sum(additive_identity,b,b)
| ~ sum(c,additive_identity,c)
| ~ product(additive_identity,c,c)
| ~ product(b,c,additive_identity)
| product(b,c,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4)]) ).
cnf(g39,plain,
equalish(multiply(b,b),b),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35)]) ).
cnf(g40,plain,
( ~ product(c,additive_identity,c)
| ~ product(c,additive_identity,c)
| ~ product(additive_identity,d,additive_identity)
| product(c,d,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication2)]) ).
cnf(g41,plain,
( ~ sum(additive_identity,a,a)
| ~ product(additive_identity,b,multiply(add(c,c),b))
| ~ product(a,b,c)
| ~ product(a,b,c)
| sum(multiply(add(c,c),b),c,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3)]) ).
cnf(g42,plain,
( ~ equalish(add(c,c),additive_identity)
| ~ product(add(c,c),b,multiply(add(c,c),b))
| product(additive_identity,b,multiply(add(c,c),b)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution1)]) ).
cnf(g43,plain,
product(add(c,c),b,multiply(add(c,c),b)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication)]) ).
cnf(g44,plain,
( ~ sum(multiply(add(c,c),b),multiply(add(c,c),b),c)
| ~ sum(multiply(add(c,c),b),c,c)
| ~ sum(multiply(add(c,c),b),c,c)
| sum(c,c,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2)]) ).
cnf(g45,plain,
( ~ sum(additive_identity,a,a)
| ~ product(additive_identity,b,multiply(add(c,c),b))
| ~ product(a,b,multiply(add(c,c),b))
| ~ product(a,b,c)
| sum(multiply(add(c,c),b),multiply(add(c,c),b),c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3)]) ).
cnf(g46,plain,
( ~ equalish(multiply(b,b),b)
| ~ product(a,multiply(b,b),multiply(add(c,c),b))
| product(a,b,multiply(add(c,c),b)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution2)]) ).
cnf(g47,plain,
product(a,multiply(b,b),multiply(add(c,c),b)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG039-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : satcop --statistics %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon May 30 17:11:01 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.76/0.55 % symbols: 12
% 1.76/0.55 % clauses: 74
% 1.76/0.55 % start clauses: 3
% 1.76/0.55 % iterative deepening steps: 706
% 1.76/0.55 % maximum path limit: 3
% 1.76/0.55 % literal attempts: 653274
% 1.76/0.55 % depth failures: 453023
% 1.76/0.55 % regularity failures: 18
% 1.76/0.55 % tautology failures: 18640
% 1.76/0.55 % reductions: 140097
% 1.76/0.55 % extensions: 511766
% 1.76/0.55 % SAT variables: 22786
% 1.76/0.55 % SAT clauses: 75746
% 1.76/0.55 % WalkSAT solutions: 75744
% 1.76/0.55 % CDCL solutions: 0
% 1.76/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.76/0.55 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------