TSTP Solution File: CAT002-1 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : CAT002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n026.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 : Fri Jul 15 00:06:54 EDT 2022
% Result : Unsatisfiable 4.33s 0.97s
% Output : Proof 4.33s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(h,g),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g)]) ).
cnf(g1,plain,
( ~ sPE(g,h)
| sPE(h,g) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
( ~ defined(b,g)
| product(b,g,compose(b,g)) ),
inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',closure_of_composition)]) ).
cnf(g3,plain,
( ~ defined(b,h)
| product(b,h,compose(b,h)) ),
inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',closure_of_composition)]) ).
cnf(g4,plain,
( ~ product(b,g,compose(b,g))
| ~ product(b,h,compose(b,g))
| sPE(g,h) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product2)]) ).
cnf(g5,plain,
product(c,h,d),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ch_equals_d)]) ).
cnf(g6,plain,
product(c,g,d),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cg_equals_d)]) ).
cnf(g7,plain,
sPE(h,h),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
product(a,b,c),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_equals_c)]) ).
cnf(g9,plain,
product(codomain(b),b,b),
inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',product_on_codomain)]) ).
cnf(g10,plain,
( ~ defined(c,g)
| ~ product(a,b,c)
| defined(b,g) ),
inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',associative_property2)]) ).
cnf(g11,plain,
defined(codomain(b),b),
inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x)]) ).
cnf(g12,plain,
( ~ defined(codomain(b),b)
| product(codomain(b),b,compose(codomain(b),b)) ),
inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',closure_of_composition)]) ).
cnf(g13,plain,
( ~ product(a,b,c)
| ~ product(b,g,compose(b,g))
| ~ product(c,g,d)
| product(a,compose(b,g),d) ),
inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom2)]) ).
cnf(g14,plain,
( ~ defined(c,h)
| ~ product(a,b,c)
| defined(b,h) ),
inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',associative_property2)]) ).
cnf(g15,plain,
( ~ product(codomain(b),b,compose(codomain(b),b))
| ~ product(codomain(b),b,b)
| sPE(compose(codomain(b),b),b) ),
inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',composition_is_well_defined)]) ).
cnf(g16,plain,
( ~ product(c,g,d)
| defined(c,g) ),
inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',associative_property1)]) ).
cnf(g17,plain,
( ~ product(c,h,d)
| defined(c,h) ),
inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',associative_property1)]) ).
cnf(g18,plain,
sPE(compose(b,h),compose(b,h)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ sPE(compose(codomain(b),b),b)
| ~ sPE(h,h)
| ~ sPE(compose(b,h),compose(b,g))
| ~ product(compose(codomain(b),b),h,compose(b,h))
| product(b,h,compose(b,g)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ product(a,b,c)
| ~ product(b,h,compose(b,h))
| ~ product(c,h,d)
| product(a,compose(b,h),d) ),
inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom2)]) ).
cnf(g21,plain,
( ~ product(codomain(b),b,b)
| ~ product(codomain(b),b,compose(codomain(b),b))
| sPE(b,compose(codomain(b),b)) ),
inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',composition_is_well_defined)]) ).
cnf(g22,plain,
( ~ sPE(b,compose(codomain(b),b))
| ~ sPE(h,h)
| ~ sPE(compose(b,h),compose(b,h))
| ~ product(b,h,compose(b,h))
| product(compose(codomain(b),b),h,compose(b,h)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
( ~ product(a,compose(b,h),d)
| ~ product(a,compose(b,g),d)
| sPE(compose(b,h),compose(b,g)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product1)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CAT002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : satcop --statistics %s
% 0.11/0.33 % Computer : n026.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 : Sun May 29 16:01:24 EDT 2022
% 0.11/0.33 % CPUTime :
% 4.33/0.97 % symbols: 14
% 4.33/0.97 % clauses: 33
% 4.33/0.97 % start clauses: 1
% 4.33/0.97 % iterative deepening steps: 1498
% 4.33/0.97 % maximum path limit: 5
% 4.33/0.97 % literal attempts: 1298290
% 4.33/0.97 % depth failures: 932769
% 4.33/0.97 % regularity failures: 20921
% 4.33/0.97 % tautology failures: 52550
% 4.33/0.97 % reductions: 0
% 4.33/0.97 % extensions: 1297162
% 4.33/0.97 % SAT variables: 88718
% 4.33/0.97 % SAT clauses: 233669
% 4.33/0.97 % WalkSAT solutions: 233671
% 4.33/0.97 % CDCL solutions: 0
% 4.33/0.97 % SZS status Unsatisfiable for theBenchmark
% 4.33/0.97 % SZS output start ListOfCNF for theBenchmark
% See solution above
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