%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP037-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 17:22:52 EDT 2024
% Result : Unsatisfiable 4.25s 4.41s
% Output : Refutation 4.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 26 ( 13 unt; 0 nHn; 20 RR)
% Number of literals : 48 ( 7 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 43 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_two_inverses_are_equal,negated_conjecture,
inverse(a) != another_inverse(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_inverses_are_equal) ).
cnf(symmetry,axiom,
( X15 != X14
| X14 = X15 ),
theory(equality) ).
cnf(product_right_cancellation,plain,
( ~ product(X49,X47,X48)
| ~ product(X49,X50,X48)
| X50 = X47 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(a_is_in_subgroup,plain,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(another_right_inverse,plain,
( ~ subgroup_member(X44)
| product(X44,another_inverse(X44),another_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',another_right_inverse) ).
cnf(c72,plain,
product(a,another_inverse(a),another_identity),
inference(resolution,[status(thm)],[another_right_inverse,a_is_in_subgroup]) ).
cnf(c211,plain,
( ~ product(a,X354,another_identity)
| another_inverse(a) = X354 ),
inference(resolution,[status(thm)],[c72,product_right_cancellation]) ).
cnf(another_left_identity,plain,
( ~ subgroup_member(X17)
| product(another_identity,X17,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',another_left_identity) ).
cnf(right_inverse,axiom,
product(X6,inverse(X6),identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(closure_of_product_and_inverse,axiom,
( ~ subgroup_member(X41)
| ~ subgroup_member(X39)
| ~ product(X41,inverse(X39),X40)
| subgroup_member(X40) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
cnf(c60,plain,
( ~ subgroup_member(X43)
| subgroup_member(identity) ),
inference(resolution,[status(thm)],[closure_of_product_and_inverse,right_inverse]) ).
cnf(c62,plain,
subgroup_member(identity),
inference(resolution,[status(thm)],[c60,a_is_in_subgroup]) ).
cnf(c68,plain,
product(another_identity,identity,identity),
inference(resolution,[status(thm)],[c62,another_left_identity]) ).
cnf(left_identity,axiom,
product(identity,X3,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(associativity1,axiom,
( ~ product(X20,X18,X21)
| ~ product(X18,X23,X19)
| ~ product(X21,X23,X22)
| product(X20,X19,X22) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity1) ).
cnf(c25,plain,
( ~ product(X113,X114,X114)
| ~ product(X114,X111,X112)
| product(X113,X112,X112) ),
inference(factor,[status(thm)],[associativity1]) ).
cnf(c404,plain,
( ~ product(X367,identity,identity)
| product(X367,X366,X366) ),
inference(resolution,[status(thm)],[c25,left_identity]) ).
cnf(c4118,plain,
product(another_identity,X374,X374),
inference(resolution,[status(thm)],[c404,c68]) ).
cnf(right_identity,axiom,
product(X4,identity,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(associativity2,axiom,
( ~ product(X27,X25,X28)
| ~ product(X25,X30,X26)
| ~ product(X27,X26,X29)
| product(X28,X30,X29) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(c50,plain,
( ~ product(X201,X202,X204)
| ~ product(X202,X203,identity)
| product(X204,X203,X201) ),
inference(resolution,[status(thm)],[associativity2,right_identity]) ).
cnf(c970,plain,
( ~ product(X651,X650,X652)
| product(X652,inverse(X650),X651) ),
inference(resolution,[status(thm)],[c50,right_inverse]) ).
cnf(c7825,plain,
product(X654,inverse(X654),another_identity),
inference(resolution,[status(thm)],[c970,c4118]) ).
cnf(c7897,plain,
another_inverse(a) = inverse(a),
inference(resolution,[status(thm)],[c7825,c211]) ).
cnf(c8572,plain,
inverse(a) = another_inverse(a),
inference(resolution,[status(thm)],[c7897,symmetry]) ).
cnf(c9678,plain,
$false,
inference(resolution,[status(thm)],[c8572,prove_two_inverses_are_equal]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP037-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n024.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 : 300
% 0.13/0.34 % DateTime : Thu May 9 05:02:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 4.25/4.41 % Version: 1.5
% 4.25/4.41 % SZS status Unsatisfiable
% 4.25/4.41 % SZS output start CNFRefutation
% See solution above
% 4.25/4.41
% 4.25/4.41 % Initial clauses : 27
% 4.25/4.41 % Processed clauses : 588
% 4.25/4.41 % Factors computed : 69
% 4.25/4.41 % Resolvents computed: 9636
% 4.25/4.41 % Tautologies deleted: 25
% 4.25/4.41 % Forward subsumed : 875
% 4.25/4.41 % Backward subsumed : 74
% 4.25/4.41 % -------- CPU Time ---------
% 4.25/4.41 % User time : 4.028 s
% 4.25/4.41 % System time : 0.031 s
% 4.25/4.41 % Total time : 4.059 s
%------------------------------------------------------------------------------