TSTP Solution File: SWV620-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV620-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% 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  : 600s
% DateTime : Wed Jul 20 21:35:29 EDT 2022

% Result   : Unsatisfiable 2.15s 2.38s
% Output   : Refutation 2.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   39 (  29 unt;   0 nHn;  20 RR)
%            Number of literals    :   53 (  18 equ;  18 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   6 con; 0-3 aty)
%            Number of variables   :   52 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_mult__right__less__imp__less_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring(X)
    | c_HOL_Oord__class_Oless(Y,Z,X)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X),U,X)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(Y,U,X),c_HOL_Otimes__class_Otimes(Z,U,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__right__less__imp__less_0) ).

cnf(cls_minus__mult__commute_0,axiom,
    ( ~ class_Ring__and__Field_Oring(X)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(Y,X),Z,X) = c_HOL_Otimes__class_Otimes(Y,c_HOL_Ouminus__class_Ouminus(Z,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__mult__commute_0) ).

cnf(cls_mult__eq__0__iff_1,axiom,
    ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X),Y,X) = c_HOL_Ozero__class_Ozero(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__eq__0__iff_1) ).

cnf(cls_mult__right_Ominus_0,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X)
    | c_HOL_Otimes__class_Otimes(Y,c_HOL_Ouminus__class_Ouminus(Z,X),X) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(Y,Z,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__right_Ominus_0) ).

cnf(cls_class__semiring_Omul__d_0,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
    | c_HOL_Otimes__class_Otimes(Y,c_HOL_Oplus__class_Oplus(Z,U,X),X) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(Y,Z,X),c_HOL_Otimes__class_Otimes(Y,U,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Omul__d_0) ).

cnf(cls_mult_Odiff__left_0,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(Y,Z,X),U,X) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(Y,U,X),c_HOL_Otimes__class_Otimes(Z,U,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult_Odiff__left_0) ).

cnf(cls_diff__minus__eq__add_0,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X)
    | c_HOL_Ominus__class_Ominus(Y,c_HOL_Ouminus__class_Ouminus(Z,X),X) = c_HOL_Oplus__class_Oplus(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__minus__eq__add_0) ).

cnf(cls_real__of__nat__ge__zero_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(X,tc_nat),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__of__nat__ge__zero_0) ).

cnf(cls_mult__2_0,axiom,
    ( ~ class_Int_Onumber__ring(X)
    | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X),Y,X) = c_HOL_Oplus__class_Oplus(Y,Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__2_0) ).

cnf(cls_real0_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real0_0) ).

cnf(cls_real__mult__commute_0,axiom,
    c_HOL_Otimes__class_Otimes(X,Y,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(Y,X,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).

cnf(cls_mult__frac__num_0,axiom,
    ( ~ class_Ring__and__Field_Ofield(X)
    | ~ class_Ring__and__Field_Odivision__by__zero(X)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(Y,Z,X),U,X) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(Y,U,X),Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__frac__num_0) ).

cnf(cls_CHAINED_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_k,v_n,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_CHAINED_0_01,axiom,
    c_HOL_Oord__class_Oless(v_k,v_n,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
    class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).

cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
    class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ofield) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
    class_Ring__and__Field_Oring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring) ).

cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Int_Onumber__ring) ).

cnf(698,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_CHAINED_0,cls_conjecture_0,cls_CHAINED_0_01]) ).

cnf(771,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[cls_mult__eq__0__iff_1,clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors]) ).

cnf(883,plain,
    c_HOL_Ominus__class_Ominus(X,c_HOL_Ouminus__class_Ouminus(Y,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X,Y,tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[cls_diff__minus__eq__add_0,clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add]) ).

cnf(1058,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X,tc_RealDef_Oreal),Y,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X,c_HOL_Ouminus__class_Ouminus(Y,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[cls_minus__mult__commute_0,clsarity_RealDef__Oreal__Ring__and__Field_Oring]) ).

cnf(1065,plain,
    c_HOL_Otimes__class_Otimes(X,c_HOL_Ouminus__class_Ouminus(Y,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X,Y,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[cls_mult__right_Ominus_0,clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra]) ).

cnf(1067,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X,tc_RealDef_Oreal),Y,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X,Y,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[1058,1065,theory(equality)]) ).

cnf(1337,plain,
    c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X,c_HOL_Ouminus__class_Ouminus(X,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_mult__2_0,clsarity_RealDef__Oreal__Int_Onumber__ring]),883,theory(equality)]) ).

cnf(1343,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_real0_0,1337,theory(equality)]) ).

cnf(1345,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[698,1337,theory(equality)]) ).

cnf(1407,plain,
    c_HOL_Otimes__class_Otimes(X,c_HOL_Ominus__class_Ominus(Y,c_HOL_Ouminus__class_Ouminus(Z,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X,Y,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X,Z,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_class__semiring_Omul__d_0,clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1]),883,theory(equality)]) ).

cnf(1408,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_Transcendental_Opi,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[1343,1407,theory(equality)]) ).

cnf(1421,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X,Y,tc_RealDef_Oreal),Z,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X,Z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(Y,Z,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[cls_mult_Odiff__left_0,clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra]) ).

cnf(1685,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X,Y,tc_RealDef_Oreal),Z,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X,Z,tc_RealDef_Oreal),Y,tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[cls_mult__frac__num_0,clsarity_RealDef__Oreal__Ring__and__Field_Ofield,clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero]) ).

cnf(2246,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_RealDef_Oreal(X,tc_nat),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_RealDef_Oreal(X,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_mult__right__less__imp__less_0,clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,1345,cls_real__of__nat__ge__zero_0]),1067,1421,1685,771,theory(equality)]) ).

cnf(2743,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1408,cls_real__mult__commute_0,theory(equality)]),2246]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV620-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Tue Jun 14 19:46:14 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.22/0.50  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51  * 
% 0.22/0.51  * 
% 0.22/0.51  #<PACKAGE "SNARK-USER">
% 0.22/0.51  * 
% 0.22/0.51  SNARK-TPTP-OPTIONS
% 0.22/0.51  * 
% 0.22/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51   (USE-FACTORING :POS)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51  * 
% 0.22/0.52  "."
% 0.22/0.52  * 
% 0.22/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T19:46:14
% 0.22/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-14T19:46:14
% 0.48/0.72  WARNING:
% 0.48/0.72     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.72  WARNING:
% 0.48/0.72     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 2.15/2.38  
% 2.15/2.38  
% 2.15/2.38  #||
% 2.15/2.38  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.15/2.38  % SZS output start Refutation
% See solution above
% 2.15/2.38  ||#
% 2.15/2.38  
% 2.15/2.38  ; Summary of computation:
% 2.15/2.38  ;     10804 formulas have been input or derived (from 611 formulas).
% 2.15/2.38  ;      2743 (25%) were retained.  Of these,
% 2.15/2.38  ;          256 ( 9%) were simplified or subsumed later,
% 2.15/2.38  ;         2487 (91%) are still being kept.
% 2.15/2.38  ; 
% 2.15/2.38  ; Run time in seconds excluding printing time:
% 2.15/2.38  ;     0.173   9%   Read assertion file          (1 call)
% 2.15/2.38  ;     0.020   1%   Assert                       (877 calls)
% 2.15/2.38  ;     0.259  14%   Process new row              (8,617 calls)
% 2.15/2.38  ;     0.312  17%   Resolution                   (1,220 calls)
% 2.15/2.38  ;     0.035   2%   Paramodulation               (610 calls)
% 2.15/2.38  ;     0.000   0%   Factoring                    (4 calls)
% 2.15/2.38  ;     0.034   2%   Condensing                   (2,986 calls)
% 2.15/2.38  ;     0.276  15%   Forward subsumption          (2,986 calls)
% 2.15/2.38  ;     0.037   2%   Backward subsumption         (1,267 calls)
% 2.15/2.38  ;     0.023   1%   Clause clause subsumption    (7,184 calls)
% 2.15/2.38  ;     0.424  23%   Forward simplification       (8,613 calls)
% 2.15/2.38  ;     0.039   2%   Backward simplification      (2,741 calls)
% 2.15/2.38  ;     0.171   9%   Ordering                     (30,834 calls)
% 2.15/2.38  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.15/2.38  ;     0.002   0%   Purity testing               (1 call)
% 2.15/2.38  ;     0.057   3%   Other
% 2.15/2.38  ;     1.862        Total
% 2.15/2.38  ;     1.865        Real time
% 2.15/2.38  ; 
% 2.15/2.38  ; Term-hash-array has 4,549 terms in all.
% 2.15/2.38  ; Feature-vector-row-index has 1,193 entries (1,193 at peak, 1,267 added, 74 deleted).
% 2.15/2.38  ; Feature-vector-row-index has 6,016 nodes (6,016 at peak, 6,434 added, 418 deleted).
% 2.15/2.38  ;  Retrieved 11,545 possibly forward subsuming rows in 2,986 calls.
% 2.15/2.38  ;  Retrieved 1,577 possibly backward subsumed rows in 1,267 calls.
% 2.15/2.38  ; Path-index has 4,149 entries (4,149 at peak, 4,623 added, 474 deleted).
% 2.15/2.38  ; Path-index has 10,129 nodes (10,129 at peak, 10,750 added, 621 deleted).
% 2.15/2.38  ; Trie-index has 4,149 entries (4,149 at peak, 4,623 added, 474 deleted).
% 2.15/2.38  ; Trie-index has 25,371 nodes (25,551 at peak, 29,230 added, 3,859 deleted).
% 2.15/2.38  ; Retrieved 48,567 generalization terms in 67,701 calls.
% 2.15/2.38  ; Retrieved 2,077 instance terms in 1,555 calls.
% 2.15/2.38  ; Retrieved 513,065 unifiable terms in 10,719 calls.
% 2.15/2.38  ; 
% 2.15/2.38  ; The agenda of rows to process has 668 entries:
% 2.15/2.38  ;    10 with value 35             30 with value 47               8 with value 61
% 2.15/2.38  ;    30 with value 36              6 with value 48               6 with value 62
% 2.15/2.38  ;    18 with value 37             19 with value 49              42 with value 63
% 2.15/2.38  ;    19 with value 38              4 with value 50              76 with value 66
% 2.15/2.38  ;    21 with value 39             10 with value 51              28 with value 67
% 2.15/2.38  ;    12 with value 40             28 with value 53              72 with value 68
% 2.15/2.38  ;     3 with value 41             12 with value 56              26 with value 69
% 2.15/2.38  ;     4 with value 42             10 with value 57               6 with value 70
% 2.15/2.38  ;    48 with value 43              8 with value 58              16 with value 76
% 2.15/2.38  ;    14 with value 44             30 with value 59              18 with value 79
% 2.15/2.38  ;    26 with value 45              4 with value 60               1 with value 86
% 2.15/2.38  ;     3 with value 46
% 2.15/2.38  ; The agenda of input rows to give has 81 entries:
% 2.15/2.38  ;     3 with value 32              6 with value 37               1 with value 44
% 2.15/2.38  ;     2 with value 33             17 with value 38               2 with value 46
% 2.15/2.38  ;    10 with value 34             19 with value 39               1 with value 47
% 2.15/2.38  ;     1 with value 35              9 with value 40               1 with value 57
% 2.15/2.38  ;     9 with value 36
% 2.15/2.38  ; The agenda of rows to give has 1801 entries:
% 2.15/2.38  ;     7 with value (4 6)          72 with value (4 27)           6 with value (4 46)
% 2.15/2.38  ;     9 with value (4 8)          46 with value (4 28)           9 with value (4 47)
% 2.15/2.38  ;     9 with value (4 9)          47 with value (4 29)           9 with value (4 48)
% 2.15/2.38  ;    16 with value (4 10)         42 with value (4 30)           4 with value (4 49)
% 2.15/2.38  ;    35 with value (4 11)         47 with value (4 31)           6 with value (4 50)
% 2.15/2.38  ;    39 with value (4 12)         79 with value (4 32)           4 with value (4 51)
% 2.15/2.38  ;    42 with value (4 13)         76 with value (4 33)           2 with value (4 52)
% 2.15/2.38  ;    35 with value (4 14)         62 with value (4 34)           6 with value (4 53)
% 2.15/2.38  ;    29 with value (4 15)         90 with value (4 35)           2 with value (4 54)
% 2.15/2.38  ;    35 with value (4 16)         60 with value (4 36)           1 with value (4 55)
% 2.15/2.38  ;    29 with value (4 17)         50 with value (4 37)          14 with value (4 56)
% 2.15/2.38  ;    61 with value (4 18)         27 with value (4 38)           7 with value (4 60)
% 2.15/2.38  ;    48 with value (4 19)         26 with value (4 39)           1 with value (4 61)
% 2.15/2.38  ;    56 with value (4 20)         43 with value (4 40)          10 with value (4 63)
% 2.15/2.38  ;    71 with value (4 21)         12 with value (4 41)           2 with value (4 66)
% 2.15/2.38  ;    64 with value (4 22)         22 with value (4 42)          13 with value (4 69)
% 2.15/2.38  ;    57 with value (4 23)          4 with value (4 43)           8 with value (4 71)
% 2.15/2.38  ;    62 with value (4 24)          6 with value (4 44)           4 with value (4 73)
% 2.15/2.38  ;   101 with value (4 25)          8 with value (4 45)           2 with value (4 75)
% 2.15/2.38  ;    67 with value (4 26)
% 2.15/2.38  Evaluation took:
% 2.15/2.38    1.866 seconds of real time
% 2.15/2.38    1.745359 seconds of user run time
% 2.15/2.38    0.121052 seconds of system run time
% 2.15/2.38    [Run times include 0.176 seconds GC run time.]
% 2.15/2.38    0 calls to %EVAL
% 2.15/2.38    0 page faults and
% 2.15/2.38    137,701,896 bytes consed.
% 2.15/2.38  :PROOF-FOUND
% 2.15/2.38  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T19:46:16
% 2.15/2.38  :PROOF-FOUND
% 2.15/2.38  * 
%------------------------------------------------------------------------------