%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWW269+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:11:50 PM UTC 2026
% Result : Theorem 7.34s 1.61s
% Output : CNFRefutation 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 25 unt; 0 def)
% Number of atoms : 104 ( 69 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 83 ( 35 ~; 33 |; 4 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 69 ( 7 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_coeff__0,axiom,
! [X25,X5] :
( class_Groups_Ozero(X5)
=> hAPP(c_Polynomial_Ocoeff(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X25) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_coeff__0) ).
fof(fact_pCons_Oprems,axiom,
! [X4] :
( X4 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)),X4) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pCons_Oprems) ).
fof(fact_poly__0,axiom,
! [X16,X5] :
( class_Rings_Ocomm__semiring__0(X5)
=> hAPP(c_Polynomial_Opoly(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X16) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__0) ).
fof(fact_ext,axiom,
! [X1,X2] :
( ! [X3] : hAPP(X2,X3) = hAPP(X1,X3)
=> X2 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ext) ).
fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).
fof(fact__096d_A_061_A0_096,axiom,
v_d____ = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096d_A_061_A0_096) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(fact_smult__0__left,axiom,
! [X20,X5] :
( class_Rings_Ocomm__semiring__0(X5)
=> c_Polynomial_Osmult(X5,c_Groups_Ozero__class_Ozero(X5),X20) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_smult__0__left) ).
fof(fact_add__poly__code_I2_J,axiom,
! [X20,X5] :
( class_Groups_Ocomm__monoid__add(X5)
=> c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X20,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))) = X20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__poly__code_I2_J) ).
fof(fact_synthetic__div__unique,axiom,
! [X33,X21,X19,X20,X5] :
( class_Rings_Ocomm__semiring__0(X5)
=> ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X20,c_Polynomial_Osmult(X5,X19,X21)) = c_Polynomial_OpCons(X5,X33,X21)
=> ( X21 = c_Polynomial_Osynthetic__div(X5,X20,X19)
& X33 = hAPP(c_Polynomial_Opoly(X5,X20),X19) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_synthetic__div__unique) ).
fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ocomm__monoid__add) ).
fof(conj_0,conjecture,
c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_poly__eq__iff,axiom,
! [X11,X6,X5] :
( ( class_Rings_Oidom(X5)
& class_Int_Oring__char__0(X5) )
=> ( c_Polynomial_Opoly(X5,X6) = c_Polynomial_Opoly(X5,X11)
<=> X6 = X11 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__eq__iff) ).
fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom) ).
fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Int_Oring__char__0) ).
fof(c_0_15,plain,
! [X343,X344] :
( hAPP(c_Polynomial_Ocoeff(X344,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X344))),X343) = c_Groups_Ozero__class_Ozero(X344)
| ~ class_Groups_Ozero(X344) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__0])])]) ).
fof(c_0_16,plain,
! [X4] :
( X4 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)),X4) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(fof_simplification,[status(thm)],[fact_pCons_Oprems]) ).
fof(c_0_17,plain,
! [X128,X129] :
( hAPP(c_Polynomial_Opoly(X129,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X129))),X128) = c_Groups_Ozero__class_Ozero(X129)
| ~ class_Rings_Ocomm__semiring__0(X129) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__0])])]) ).
fof(c_0_18,plain,
! [X89,X90] :
( X90 = X89
| hAPP(X90,esk1_2(X89,X90)) != hAPP(X89,esk1_2(X89,X90)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ext])])])]) ).
cnf(c_0_19,plain,
( ~ class_Groups_Ozero(X1)
| hAPP(c_Polynomial_Ocoeff(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Ozero__class_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ozero]) ).
cnf(c_0_21,plain,
v_d____ = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[fact__096d_A_061_A0_096]) ).
fof(c_0_22,plain,
! [X92] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)),X92) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X92 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).
cnf(c_0_23,plain,
( ~ class_Rings_Ocomm__semiring__0(X1)
| hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Ozero__class_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
cnf(c_0_25,plain,
( hAPP(X1,esk1_2(X2,X1)) != hAPP(X2,esk1_2(X2,X1))
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
hAPP(c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X1) = v_d____,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_27,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
! [X341,X342] :
( c_Polynomial_Osmult(X342,c_Groups_Ozero__class_Ozero(X342),X341) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X342))
| ~ class_Rings_Ocomm__semiring__0(X342) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__0__left])])]) ).
fof(c_0_29,plain,
! [X311,X312] :
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X312),X311,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X312))) = X311
| ~ class_Groups_Ocomm__monoid__add(X312) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__poly__code_I2_J])])]) ).
cnf(c_0_30,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X1) = v_d____,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21]) ).
cnf(c_0_31,plain,
( hAPP(X1,esk1_2(c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X1)) != v_d____
| X1 = c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
( X1 = v_d____
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)),X1) = v_d____ ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_21]),c_0_21]) ).
fof(c_0_33,plain,
! [X328,X329,X330,X331,X332] :
( ( ~ class_Rings_Ocomm__semiring__0(X332)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X332),X331,c_Polynomial_Osmult(X332,X330,X329)) != c_Polynomial_OpCons(X332,X328,X329)
| X329 = c_Polynomial_Osynthetic__div(X332,X331,X330) )
& ( ~ class_Rings_Ocomm__semiring__0(X332)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X332),X331,c_Polynomial_Osmult(X332,X330,X329)) != c_Polynomial_OpCons(X332,X328,X329)
| X328 = hAPP(c_Polynomial_Opoly(X332,X331),X330) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_synthetic__div__unique])])])]) ).
cnf(c_0_34,plain,
( ~ class_Rings_Ocomm__semiring__0(X1)
| c_Polynomial_Osmult(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( ~ class_Groups_Ocomm__monoid__add(X1)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocomm__monoid__add]) ).
fof(c_0_37,negated_conjecture,
c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_38,plain,
! [X123,X124,X125] :
( ( ~ class_Rings_Oidom(X125)
| ~ class_Int_Oring__char__0(X125)
| c_Polynomial_Opoly(X125,X124) = c_Polynomial_Opoly(X125,X123)
| X124 != X123 )
& ( ~ class_Rings_Oidom(X125)
| ~ class_Int_Oring__char__0(X125)
| X124 = X123
| c_Polynomial_Opoly(X125,X124) != c_Polynomial_Opoly(X125,X123) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__eq__iff])])])]) ).
cnf(c_0_39,plain,
( hAPP(X1,esk1_2(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X1)) != v_d____
| X1 = c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) ),
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_40,plain,
( c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)) = c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| esk1_2(c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____))) = v_d____ ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_41,plain,
( ~ class_Rings_Ocomm__semiring__0(X2)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),X3,c_Polynomial_Osmult(X2,X4,X5)) != c_Polynomial_OpCons(X2,X1,X5)
| X1 = hAPP(c_Polynomial_Opoly(X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
c_Polynomial_Osmult(tc_Complex_Ocomplex,v_d____,X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_24]),c_0_21]) ).
cnf(c_0_43,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = X1,
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_44,negated_conjecture,
c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( ~ class_Rings_Oidom(X1)
| ~ class_Int_Oring__char__0(X1)
| c_Polynomial_Opoly(X1,X2) != c_Polynomial_Opoly(X1,X3)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,plain,
c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(spm,[status(thm)],[c_0_39,c_0_26]) ).
cnf(c_0_47,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oidom]) ).
cnf(c_0_48,plain,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Int_Oring__char__0]) ).
cnf(c_0_49,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)),v_d____) != v_d____
| c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)) = c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_40]),c_0_26]) ).
cnf(c_0_50,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X2)),v_d____) = X1,
inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_24])]),c_0_43])]) ).
fof(c_0_51,negated_conjecture,
c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(fof_nnf,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
( c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) != c_Polynomial_Opoly(tc_Complex_Ocomplex,X1)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_53,plain,
c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____)) = c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]) ).
cnf(c_0_54,negated_conjecture,
c_Polynomial_OpCons(tc_Complex_Ocomplex,v_d____,v_ds____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_55,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW269+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 09:46:43 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.34/1.61 % Version: 3.5.1
% 7.34/1.61 % Preprocessing class: FMLMSMSMSSSNFFN.
% 7.34/1.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.34/1.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.34/1.61 % Starting new_bool_3 with 300s (1) cores
% 7.34/1.61 % Starting new_bool_1 with 300s (1) cores
% 7.34/1.61 % Starting sh5l with 300s (1) cores
% 7.34/1.61 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1580592 completed with status 0
% 7.34/1.61 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 7.34/1.61 % Preprocessing class: FMLMSMSMSSSNFFN.
% 7.34/1.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.34/1.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.34/1.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.34/1.61 % No SInE strategy applied
% 7.34/1.61 % Search class: FGHSM-SMLM32-DFFFFFNN
% 7.34/1.61 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 7.34/1.61 % Starting SubtermCWHack with 136s (1) cores
% 7.34/1.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.34/1.61 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 7.34/1.61 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 7.34/1.61 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 7.34/1.61 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 1580601 completed with status 0
% 7.34/1.61 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 7.34/1.61 % Preprocessing class: FMLMSMSMSSSNFFN.
% 7.34/1.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.34/1.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.34/1.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.34/1.61 % No SInE strategy applied
% 7.34/1.61 % Search class: FGHSM-SMLM32-DFFFFFNN
% 7.34/1.61 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 7.34/1.61 % Starting SubtermCWHack with 136s (1) cores
% 7.34/1.61 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.34/1.61 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 7.34/1.61 % Preprocessing time : 0.023 s
% 7.34/1.61
% 7.34/1.61 % Proof found!
% 7.34/1.61 % SZS status Theorem
% 7.34/1.61 % SZS output start CNFRefutation
% See solution above
% 7.34/1.61 % Parsed axioms : 1159
% 7.34/1.61 % Removed by relevancy pruning/SinE : 0
% 7.34/1.61 % Initial clauses : 1649
% 7.34/1.61 % Removed in clause preprocessing : 82
% 7.34/1.61 % Initial clauses in saturation : 1567
% 7.34/1.61 % Processed clauses : 5334
% 7.34/1.61 % ...of these trivial : 141
% 7.34/1.61 % ...subsumed : 1819
% 7.34/1.61 % ...remaining for further processing : 3374
% 7.34/1.61 % Other redundant clauses eliminated : 789
% 7.34/1.61 % Clauses deleted for lack of memory : 0
% 7.34/1.61 % Backward-subsumed : 107
% 7.34/1.61 % Backward-rewritten : 176
% 7.34/1.61 % Generated clauses : 24524
% 7.34/1.61 % ...of the previous two non-redundant : 18553
% 7.34/1.61 % ...aggressively subsumed : 0
% 7.34/1.61 % Contextual simplify-reflections : 6
% 7.34/1.61 % Paramodulations : 23720
% 7.34/1.61 % Factorizations : 6
% 7.34/1.61 % NegExts : 0
% 7.34/1.61 % Equation resolutions : 831
% 7.34/1.61 % Disequality decompositions : 0
% 7.34/1.61 % Total rewrite steps : 17555
% 7.34/1.61 % ...of those cached : 15425
% 7.34/1.61 % Propositional unsat checks : 0
% 7.34/1.61 % Propositional check models : 0
% 7.34/1.61 % Propositional check unsatisfiable : 0
% 7.34/1.61 % Propositional clauses : 0
% 7.34/1.61 % Propositional clauses after purity: 0
% 7.34/1.61 % Propositional unsat core size : 0
% 7.34/1.61 % Propositional preprocessing time : 0.000
% 7.34/1.61 % Propositional encoding time : 0.000
% 7.34/1.61 % Propositional solver time : 0.000
% 7.34/1.61 % Success case prop preproc time : 0.000
% 7.34/1.61 % Success case prop encoding time : 0.000
% 7.34/1.61 % Success case prop solver time : 0.000
% 7.34/1.61 % Current number of processed clauses : 2924
% 7.34/1.61 % Positive orientable unit clauses : 720
% 7.34/1.61 % Positive unorientable unit clauses: 9
% 7.34/1.61 % Negative unit clauses : 29
% 7.34/1.61 % Non-unit-clauses : 2166
% 7.34/1.61 % Current number of unprocessed clauses: 14692
% 7.34/1.61 % ...number of literals in the above : 40993
% 7.34/1.61 % Current number of archived formulas : 0
% 7.34/1.61 % Current number of archived clauses : 284
% 7.34/1.61 % Clause-clause subsumption calls (NU) : 457473
% 7.34/1.61 % Rec. Clause-clause subsumption calls : 360599
% 7.34/1.61 % Non-unit clause-clause subsumptions : 1663
% 7.34/1.61 % Unit Clause-clause subsumption calls : 8469
% 7.34/1.61 % Rewrite failures with RHS unbound : 4
% 7.34/1.61 % BW rewrite match attempts : 9811
% 7.34/1.61 % BW rewrite match successes : 180
% 7.34/1.61 % Condensation attempts : 0
% 7.34/1.61 % Condensation successes : 0
% 7.34/1.61 % Termbank termtop insertions : 835104
% 7.34/1.61 % Search garbage collected termcells : 22569
% 7.34/1.61
% 7.34/1.61 % -------------------------------------------------
% 7.34/1.61 % User time : 1.053 s
% 7.34/1.61 % System time : 0.063 s
% 7.34/1.61 % Total time : 1.117 s
% 7.34/1.61 % Maximum resident set size: 10116 pages
% 7.34/1.61
% 7.34/1.61 % -------------------------------------------------
% 7.34/1.61 % User time : 4.651 s
% 7.34/1.61 % System time : 0.236 s
% 7.34/1.61 % Total time : 4.887 s
% 7.34/1.61 % Maximum resident set size: 6144 pages
% 7.34/1.61 % E exiting
%------------------------------------------------------------------------------