%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP043-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 : 300s
% DateTime : Thu May 9 17:22:54 EDT 2024
% Result : Unsatisfiable 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 22 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_transitivity,negated_conjecture,
~ equalish(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity) ).
cnf(left_identity,axiom,
product(identity,X2,X2),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(total_function2,axiom,
( ~ product(X6,X9,X8)
| ~ product(X6,X9,X7)
| equalish(X8,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',total_function2) ).
cnf(c3,plain,
( ~ product(identity,X14,X15)
| equalish(X15,X14) ),
inference(resolution,[status(thm)],[total_function2,left_identity]) ).
cnf(product_substitution3,axiom,
( ~ equalish(X42,X45)
| ~ product(X43,X44,X42)
| product(X43,X44,X45) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).
cnf(c26,plain,
( ~ equalish(X46,X47)
| product(identity,X46,X47) ),
inference(resolution,[status(thm)],[product_substitution3,left_identity]) ).
cnf(b_equals_c,plain,
equalish(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_equals_c) ).
cnf(a_equals_b,plain,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).
cnf(c29,plain,
product(identity,a,b),
inference(resolution,[status(thm)],[c26,a_equals_b]) ).
cnf(c37,plain,
( ~ equalish(b,X88)
| product(identity,a,X88) ),
inference(resolution,[status(thm)],[c29,product_substitution3]) ).
cnf(c131,plain,
product(identity,a,c),
inference(resolution,[status(thm)],[c37,b_equals_c]) ).
cnf(c139,plain,
equalish(c,a),
inference(resolution,[status(thm)],[c131,c3]) ).
cnf(c148,plain,
product(identity,c,a),
inference(resolution,[status(thm)],[c139,c26]) ).
cnf(c149,plain,
equalish(a,c),
inference(resolution,[status(thm)],[c148,c3]) ).
cnf(c162,plain,
$false,
inference(resolution,[status(thm)],[c149,prove_transitivity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP043-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 04:03:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.42/0.59 % Version: 1.5
% 0.42/0.59 % SZS status Unsatisfiable
% 0.42/0.59 % SZS output start CNFRefutation
% See solution above
% 0.42/0.59
% 0.42/0.59 % Initial clauses : 10
% 0.42/0.59 % Processed clauses : 47
% 0.42/0.59 % Factors computed : 12
% 0.42/0.59 % Resolvents computed: 151
% 0.42/0.59 % Tautologies deleted: 2
% 0.42/0.59 % Forward subsumed : 18
% 0.42/0.59 % Backward subsumed : 1
% 0.42/0.59 % -------- CPU Time ---------
% 0.42/0.59 % User time : 0.220 s
% 0.42/0.59 % System time : 0.017 s
% 0.42/0.59 % Total time : 0.237 s
%------------------------------------------------------------------------------