%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : RNG007-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 17:38:10 EDT 2024
% Result : Unsatisfiable 18.05s 18.29s
% Output : Refutation 18.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 26 ( 17 unt; 0 nHn; 10 RR)
% Number of literals : 37 ( 36 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_inverse,negated_conjecture,
add(a,a) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse) ).
cnf(left_additive_inverse,axiom,
add(additive_inverse(X6),X6) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/RNG002-0.ax',left_additive_inverse) ).
cnf(transitivity,axiom,
( X38 != X39
| X39 != X40
| X38 = X40 ),
theory(equality) ).
cnf(c41,plain,
( X174 != add(additive_inverse(X173),X173)
| X174 = additive_identity ),
inference(resolution,[status(thm)],[transitivity,left_additive_inverse]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c0,axiom,
( X70 != X69
| X68 != X71
| add(X70,X68) = add(X69,X71) ),
theory(equality) ).
cnf(c127,plain,
( X618 != X616
| add(X618,X617) = add(X616,X617) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(boolean_ring,plain,
multiply(X3,X3) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boolean_ring) ).
cnf(c24,plain,
( X44 != multiply(X45,X45)
| X44 = X45 ),
inference(resolution,[status(thm)],[transitivity,boolean_ring]) ).
cnf(symmetry,axiom,
( X7 != X8
| X8 = X7 ),
theory(equality) ).
cnf(additive_inverse_additive_inverse,axiom,
additive_inverse(additive_inverse(X5)) = X5,
file('/export/starexec/sandbox/benchmark/Axioms/RNG002-0.ax',additive_inverse_additive_inverse) ).
cnf(c48,plain,
additive_inverse(additive_inverse(multiply(X57,X57))) = X57,
inference(resolution,[status(thm)],[c24,additive_inverse_additive_inverse]) ).
cnf(c78,plain,
( X328 != additive_inverse(additive_inverse(multiply(X327,X327)))
| X328 = X327 ),
inference(resolution,[status(thm)],[c48,transitivity]) ).
cnf(multiply_additive_inverse2,axiom,
multiply(additive_inverse(X46),X47) = additive_inverse(multiply(X46,X47)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG002-0.ax',multiply_additive_inverse2) ).
cnf(c1,axiom,
( X78 != X77
| additive_inverse(X78) = additive_inverse(X77) ),
theory(equality) ).
cnf(c144,plain,
additive_inverse(multiply(additive_inverse(X708),X707)) = additive_inverse(additive_inverse(multiply(X708,X707))),
inference(resolution,[status(thm)],[c1,multiply_additive_inverse2]) ).
cnf(c8835,plain,
additive_inverse(multiply(additive_inverse(X709),X709)) = X709,
inference(resolution,[status(thm)],[c144,c78]) ).
cnf(c8892,plain,
X710 = additive_inverse(multiply(additive_inverse(X710),X710)),
inference(resolution,[status(thm)],[c8835,symmetry]) ).
cnf(multiply_additive_inverse1,axiom,
multiply(X35,additive_inverse(X36)) = additive_inverse(multiply(X35,X36)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG002-0.ax',multiply_additive_inverse1) ).
cnf(c22,plain,
additive_inverse(multiply(X112,X111)) = multiply(X112,additive_inverse(X111)),
inference(resolution,[status(thm)],[multiply_additive_inverse1,symmetry]) ).
cnf(c323,plain,
( X1622 != additive_inverse(multiply(X1623,X1621))
| X1622 = multiply(X1623,additive_inverse(X1621)) ),
inference(resolution,[status(thm)],[c22,transitivity]) ).
cnf(c37945,plain,
X1627 = multiply(additive_inverse(X1627),additive_inverse(X1627)),
inference(resolution,[status(thm)],[c323,c8892]) ).
cnf(c37986,plain,
X1628 = additive_inverse(X1628),
inference(resolution,[status(thm)],[c37945,c24]) ).
cnf(c38084,plain,
add(X1894,X1895) = add(additive_inverse(X1894),X1895),
inference(resolution,[status(thm)],[c37986,c127]) ).
cnf(c46771,plain,
add(X1896,X1896) = additive_identity,
inference(resolution,[status(thm)],[c38084,c41]) ).
cnf(c46948,plain,
$false,
inference(resolution,[status(thm)],[c46771,prove_inverse]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : RNG007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 21:10:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 18.05/18.29 % Version: 1.5
% 18.05/18.29 % SZS status Unsatisfiable
% 18.05/18.29 % SZS output start CNFRefutation
% See solution above
% 18.05/18.29
% 18.05/18.29 % Initial clauses : 22
% 18.05/18.29 % Processed clauses : 584
% 18.05/18.29 % Factors computed : 3
% 18.05/18.29 % Resolvents computed: 46958
% 18.05/18.29 % Tautologies deleted: 2
% 18.05/18.29 % Forward subsumed : 1070
% 18.05/18.29 % Backward subsumed : 22
% 18.05/18.29 % -------- CPU Time ---------
% 18.05/18.29 % User time : 17.753 s
% 18.05/18.29 % System time : 0.117 s
% 18.05/18.29 % Total time : 17.870 s
%------------------------------------------------------------------------------