TSTP Solution File: SWW268+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWW268+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 : Tue May 21 06:42:03 EDT 2024
% Result : Theorem 14.01s 2.37s
% Output : CNFRefutation 14.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 49 ( 20 unt; 0 def)
% Number of atoms : 101 ( 68 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 91 ( 39 ~; 32 |; 5 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 99 ( 7 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_add__scale__eq__noteq,axiom,
! [X52,X21,X33,X20,X65,X6] :
( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X6)
=> ( X65 != c_Groups_Ozero__class_Ozero(X6)
=> ( ( X20 = X33
& X21 != X52 )
=> c_Groups_Oplus__class_Oplus(X6,X20,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X65),X21)) != c_Groups_Oplus__class_Oplus(X6,X33,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X65),X52)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__scale__eq__noteq) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X20,X6] :
( class_Rings_Ocomm__semiring__1(X6)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X20),c_Groups_Ozero__class_Ozero(X6)) = c_Groups_Ozero__class_Ozero(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
! [X20,X6] :
( class_Rings_Ocomm__semiring__1(X6)
=> c_Groups_Oplus__class_Oplus(X6,X20,c_Groups_Ozero__class_Ozero(X6)) = X20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).
fof(fact_smult__0__left,axiom,
! [X14,X6] :
( class_Rings_Ocomm__semiring__0(X6)
=> c_Polynomial_Osmult(X6,c_Groups_Ozero__class_Ozero(X6),X14) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_smult__0__left) ).
fof(fact_add__poly__code_I2_J,axiom,
! [X14,X6] :
( class_Groups_Ocomm__monoid__add(X6)
=> c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X6),X14,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__poly__code_I2_J) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(fact_synthetic__div__unique,axiom,
! [X65,X13,X21,X14,X6] :
( class_Rings_Ocomm__semiring__0(X6)
=> ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X6),X14,c_Polynomial_Osmult(X6,X21,X13)) = c_Polynomial_OpCons(X6,X65,X13)
=> ( X65 = hAPP(c_Polynomial_Opoly(X6,X14),X21)
& X13 = c_Polynomial_Osynthetic__div(X6,X14,X21) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_synthetic__div__unique) ).
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(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(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).
fof(fact_poly__pCons,axiom,
! [X5,X14,X20,X6] :
( class_Rings_Ocomm__semiring__0(X6)
=> hAPP(c_Polynomial_Opoly(X6,c_Polynomial_OpCons(X6,X20,X14)),X5) = c_Groups_Oplus__class_Oplus(X6,X20,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),hAPP(c_Polynomial_Opoly(X6,X14),X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__pCons) ).
fof(fact__096_B_By_O_Apoly_A_IpCons_Ac_Acs_J_A0_A_061_Apoly_A_IpCons_Ac_Acs_J_Ay_096,axiom,
! [X4] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_B_By_O_Apoly_A_IpCons_Ac_Acs_J_A0_A_061_Apoly_A_IpCons_Ac_Acs_J_Ay_096) ).
fof(conj_0,conjecture,
! [X94] :
( X94 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),X94) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_13,plain,
! [X52,X21,X33,X20,X65,X6] :
( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X6)
=> ( X65 != c_Groups_Ozero__class_Ozero(X6)
=> ( ( X20 = X33
& X21 != X52 )
=> c_Groups_Oplus__class_Oplus(X6,X20,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X65),X21)) != c_Groups_Oplus__class_Oplus(X6,X33,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X65),X52)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_add__scale__eq__noteq]) ).
fof(c_0_14,plain,
! [X1445,X1446,X1447,X1448,X1449,X1450] :
( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1450)
| X1449 = c_Groups_Ozero__class_Ozero(X1450)
| X1448 != X1447
| X1446 = X1445
| c_Groups_Oplus__class_Oplus(X1450,X1448,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1450),X1449),X1446)) != c_Groups_Oplus__class_Oplus(X1450,X1447,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1450),X1449),X1445)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_15,plain,
! [X1159,X1160] :
( ~ class_Rings_Ocomm__semiring__1(X1160)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1160),X1159),c_Groups_Ozero__class_Ozero(X1160)) = c_Groups_Ozero__class_Ozero(X1160) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J])])]) ).
fof(c_0_16,plain,
! [X1267,X1268] :
( ~ class_Rings_Ocomm__semiring__1(X1268)
| c_Groups_Oplus__class_Oplus(X1268,X1267,c_Groups_Ozero__class_Ozero(X1268)) = X1267 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J])])]) ).
fof(c_0_17,plain,
! [X717,X718] :
( ~ class_Rings_Ocomm__semiring__0(X718)
| c_Polynomial_Osmult(X718,c_Groups_Ozero__class_Ozero(X718),X717) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X718)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__0__left])])]) ).
fof(c_0_18,plain,
! [X1380,X1381] :
( ~ class_Groups_Ocomm__monoid__add(X1381)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1381),X1380,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1381))) = X1380 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__poly__code_I2_J])])]) ).
cnf(c_0_19,plain,
( X2 = c_Groups_Ozero__class_Ozero(X1)
| X5 = X6
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)
| X3 != X4
| c_Groups_Oplus__class_Oplus(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5)) != c_Groups_Oplus__class_Oplus(X1,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
cnf(c_0_22,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_23,plain,
! [X1521,X1522,X1523,X1524,X1525] :
( ( X1521 = hAPP(c_Polynomial_Opoly(X1525,X1524),X1523)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1525),X1524,c_Polynomial_Osmult(X1525,X1523,X1522)) != c_Polynomial_OpCons(X1525,X1521,X1522)
| ~ class_Rings_Ocomm__semiring__0(X1525) )
& ( X1522 = c_Polynomial_Osynthetic__div(X1525,X1524,X1523)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1525),X1524,c_Polynomial_Osmult(X1525,X1523,X1522)) != c_Polynomial_OpCons(X1525,X1521,X1522)
| ~ class_Rings_Ocomm__semiring__0(X1525) ) ),
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_24,plain,
( c_Polynomial_Osmult(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
cnf(c_0_26,plain,
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X2
| ~ class_Groups_Ocomm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocomm__monoid__add]) ).
cnf(c_0_28,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| X3 = X4
| c_Groups_Oplus__class_Oplus(X2,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3)) != c_Groups_Oplus__class_Oplus(X2,X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4))
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_30,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = X1,
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_31,plain,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct]) ).
fof(c_0_32,plain,
! [X1501,X1502,X1503,X1504] :
( ~ class_Rings_Ocomm__semiring__0(X1504)
| hAPP(c_Polynomial_Opoly(X1504,c_Polynomial_OpCons(X1504,X1503,X1502)),X1501) = c_Groups_Oplus__class_Oplus(X1504,X1503,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1504),X1501),hAPP(c_Polynomial_Opoly(X1504,X1502),X1501))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__pCons])])]) ).
fof(c_0_33,plain,
! [X98] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X98),
inference(variable_rename,[status(thm)],[fact__096_B_By_O_Apoly_A_IpCons_Ac_Acs_J_A0_A_061_Apoly_A_IpCons_Ac_Acs_J_Ay_096]) ).
cnf(c_0_34,plain,
( X1 = hAPP(c_Polynomial_Opoly(X2,X3),X4)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),X3,c_Polynomial_Osmult(X2,X4,X5)) != c_Polynomial_OpCons(X2,X1,X5)
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,plain,
c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_36,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_26,c_0_27]) ).
fof(c_0_37,negated_conjecture,
~ ! [X94] :
( X94 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),X94) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_38,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X2 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),X1)) != X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_39,plain,
( hAPP(c_Polynomial_Opoly(X1,c_Polynomial_OpCons(X1,X2,X3)),X4) = c_Groups_Oplus__class_Oplus(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),hAPP(c_Polynomial_Opoly(X1,X3),X4)))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X2)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = X1,
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_25])])]) ).
fof(c_0_42,negated_conjecture,
( esk28_0 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
& hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),esk28_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
cnf(c_0_43,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),X2) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X2 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X3,X1)),X2) != X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_25])]) ).
cnf(c_0_44,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X1) = v_c____,
inference(rw,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),esk28_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_46,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,negated_conjecture,
esk28_0 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW268+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n017.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 : Sat May 18 19:30:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 14.01/2.37 # Version: 3.1.0
% 14.01/2.37 # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.01/2.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.01/2.37 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.01/2.37 # Starting new_bool_3 with 300s (1) cores
% 14.01/2.37 # Starting new_bool_1 with 300s (1) cores
% 14.01/2.37 # Starting sh5l with 300s (1) cores
% 14.01/2.37 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 7011 completed with status 0
% 14.01/2.37 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 14.01/2.37 # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.01/2.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.01/2.37 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.01/2.37 # No SInE strategy applied
% 14.01/2.37 # Search class: FGHSM-SSLM32-DFFFFFNN
% 14.01/2.37 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 14.01/2.37 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 14.01/2.37 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.01/2.37 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 14.01/2.37 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 14.01/2.37 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 113s (1) cores
% 14.01/2.37 # G-E--_208_B07_F1_SE_CS_SP_PS_S4d with pid 7020 completed with status 0
% 14.01/2.37 # Result found by G-E--_208_B07_F1_SE_CS_SP_PS_S4d
% 14.01/2.37 # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.01/2.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.01/2.37 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.01/2.37 # No SInE strategy applied
% 14.01/2.37 # Search class: FGHSM-SSLM32-DFFFFFNN
% 14.01/2.37 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 14.01/2.37 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 14.01/2.37 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.01/2.37 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 14.01/2.37 # Preprocessing time : 0.024 s
% 14.01/2.37 # Presaturation interreduction done
% 14.01/2.37
% 14.01/2.37 # Proof found!
% 14.01/2.37 # SZS status Theorem
% 14.01/2.37 # SZS output start CNFRefutation
% See solution above
% 14.01/2.37 # Parsed axioms : 1212
% 14.01/2.37 # Removed by relevancy pruning/SinE : 0
% 14.01/2.37 # Initial clauses : 1605
% 14.01/2.37 # Removed in clause preprocessing : 78
% 14.01/2.37 # Initial clauses in saturation : 1527
% 14.01/2.37 # Processed clauses : 11731
% 14.01/2.37 # ...of these trivial : 118
% 14.01/2.37 # ...subsumed : 7866
% 14.01/2.37 # ...remaining for further processing : 3747
% 14.01/2.37 # Other redundant clauses eliminated : 1594
% 14.01/2.37 # Clauses deleted for lack of memory : 0
% 14.01/2.37 # Backward-subsumed : 68
% 14.01/2.37 # Backward-rewritten : 83
% 14.01/2.37 # Generated clauses : 70577
% 14.01/2.37 # ...of the previous two non-redundant : 60321
% 14.01/2.37 # ...aggressively subsumed : 0
% 14.01/2.37 # Contextual simplify-reflections : 6
% 14.01/2.37 # Paramodulations : 68946
% 14.01/2.37 # Factorizations : 14
% 14.01/2.37 # NegExts : 0
% 14.01/2.37 # Equation resolutions : 1644
% 14.01/2.37 # Disequality decompositions : 0
% 14.01/2.37 # Total rewrite steps : 57418
% 14.01/2.37 # ...of those cached : 53721
% 14.01/2.37 # Propositional unsat checks : 0
% 14.01/2.37 # Propositional check models : 0
% 14.01/2.37 # Propositional check unsatisfiable : 0
% 14.01/2.37 # Propositional clauses : 0
% 14.01/2.37 # Propositional clauses after purity: 0
% 14.01/2.37 # Propositional unsat core size : 0
% 14.01/2.37 # Propositional preprocessing time : 0.000
% 14.01/2.37 # Propositional encoding time : 0.000
% 14.01/2.37 # Propositional solver time : 0.000
% 14.01/2.37 # Success case prop preproc time : 0.000
% 14.01/2.37 # Success case prop encoding time : 0.000
% 14.01/2.37 # Success case prop solver time : 0.000
% 14.01/2.37 # Current number of processed clauses : 2221
% 14.01/2.37 # Positive orientable unit clauses : 459
% 14.01/2.37 # Positive unorientable unit clauses: 10
% 14.01/2.37 # Negative unit clauses : 147
% 14.01/2.37 # Non-unit-clauses : 1605
% 14.01/2.37 # Current number of unprocessed clauses: 51156
% 14.01/2.37 # ...number of literals in the above : 142185
% 14.01/2.37 # Current number of archived formulas : 0
% 14.01/2.37 # Current number of archived clauses : 1383
% 14.01/2.37 # Clause-clause subsumption calls (NU) : 311442
% 14.01/2.37 # Rec. Clause-clause subsumption calls : 197725
% 14.01/2.37 # Non-unit clause-clause subsumptions : 3384
% 14.01/2.37 # Unit Clause-clause subsumption calls : 6791
% 14.01/2.37 # Rewrite failures with RHS unbound : 2
% 14.01/2.37 # BW rewrite match attempts : 2541
% 14.01/2.37 # BW rewrite match successes : 272
% 14.01/2.37 # Condensation attempts : 0
% 14.01/2.37 # Condensation successes : 0
% 14.01/2.37 # Termbank termtop insertions : 1448123
% 14.01/2.37 # Search garbage collected termcells : 20778
% 14.01/2.37
% 14.01/2.37 # -------------------------------------------------
% 14.01/2.37 # User time : 1.714 s
% 14.01/2.37 # System time : 0.065 s
% 14.01/2.37 # Total time : 1.779 s
% 14.01/2.37 # Maximum resident set size: 8336 pages
% 14.01/2.37
% 14.01/2.37 # -------------------------------------------------
% 14.01/2.37 # User time : 8.331 s
% 14.01/2.37 # System time : 0.263 s
% 14.01/2.37 # Total time : 8.594 s
% 14.01/2.37 # Maximum resident set size: 3108 pages
% 14.01/2.37 % E---3.1 exiting
% 14.01/2.37 % E exiting
%------------------------------------------------------------------------------