TSTP Solution File: SWW290+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW290+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 : Thu Jul 21 00:10:29 EDT 2022
% Result : Theorem 0.44s 24.63s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 53 ( 20 unt; 0 def)
% Number of atoms : 86 ( 48 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 58 ( 25 ~; 22 |; 0 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 122 ( 7 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X6,X4,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> c_Groups_Oplus__class_Oplus(X7,X4,X6) = c_Groups_Oplus__class_Oplus(X7,X6,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
! [X4,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> c_Groups_Oplus__class_Oplus(X7,c_Groups_Ozero__class_Ozero(X7),X4) = X4 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
! [X25,X4,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> c_Groups_Oplus__class_Oplus(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X4),X25),X25) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),c_Groups_Oplus__class_Oplus(X7,X4,c_Groups_Oone__class_Oone(X7))),X25) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X4,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X4),c_Groups_Ozero__class_Ozero(X7)) = c_Groups_Ozero__class_Ozero(X7) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(fact_smult__smult,axiom,
! [X5,X8,X4,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> c_Polynomial_Osmult(X7,X4,c_Polynomial_Osmult(X7,X8,X5)) = c_Polynomial_Osmult(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X4),X8),X5) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_smult__smult) ).
fof(fact_smult__0__left,axiom,
! [X5,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> c_Polynomial_Osmult(X7,c_Groups_Ozero__class_Ozero(X7),X5) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_smult__0__left) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
! [X36,X37,X38,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X38),X37)),X36) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X38),X36)),X37) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J) ).
fof(fact_mult__smult__right,axiom,
! [X11,X4,X5,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X7)),X5),c_Polynomial_Osmult(X7,X4,X11)) = c_Polynomial_Osmult(X7,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X7)),X5),X11)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_mult__smult__right) ).
fof(fact_smult__pCons,axiom,
! [X5,X8,X4,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> c_Polynomial_Osmult(X7,X4,c_Polynomial_OpCons(X7,X8,X5)) = c_Polynomial_OpCons(X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X7),X4),X8),c_Polynomial_Osmult(X7,X4,X5)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_smult__pCons) ).
fof(fact_smult__add__left,axiom,
! [X5,X8,X4,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> c_Polynomial_Osmult(X7,c_Groups_Oplus__class_Oplus(X7,X4,X8),X5) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X7),c_Polynomial_Osmult(X7,X4,X5),c_Polynomial_Osmult(X7,X8,X5)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_smult__add__left) ).
fof(conj_0,conjecture,
c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(fact_mult__pCons__right,axiom,
! [X11,X4,X5,X7] :
( class_Rings_Ocomm__semiring__0(X7)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X7)),X5),c_Polynomial_OpCons(X7,X4,X11)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X7),c_Polynomial_Osmult(X7,X4,X5),c_Polynomial_OpCons(X7,c_Groups_Ozero__class_Ozero(X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X7)),X5),X11))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_mult__pCons__right) ).
fof(c_0_14,plain,
! [X8,X9,X10] :
( ~ class_Rings_Ocomm__semiring__1(X10)
| c_Groups_Oplus__class_Oplus(X10,X9,X8) = c_Groups_Oplus__class_Oplus(X10,X8,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])]) ).
fof(c_0_15,plain,
! [X8,X9] :
( ~ class_Rings_Ocomm__semiring__1(X9)
| c_Groups_Oplus__class_Oplus(X9,c_Groups_Ozero__class_Ozero(X9),X8) = X8 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J])]) ).
cnf(c_0_16,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X3,X2)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
fof(c_0_18,plain,
! [X26,X27,X28] :
( ~ class_Rings_Ocomm__semiring__1(X28)
| c_Groups_Oplus__class_Oplus(X28,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X28),X27),X26),X26) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X28),c_Groups_Oplus__class_Oplus(X28,X27,c_Groups_Oone__class_Oone(X28))),X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J])]) ).
cnf(c_0_19,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_21,plain,
! [X8,X9] :
( ~ class_Rings_Ocomm__semiring__1(X9)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X9),X8),c_Groups_Ozero__class_Ozero(X9)) = c_Groups_Ozero__class_Ozero(X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J])]) ).
cnf(c_0_22,plain,
( c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oone__class_Oone(X1))),X3)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_17])]) ).
fof(c_0_24,plain,
! [X9,X10,X11,X12] :
( ~ class_Rings_Ocomm__semiring__0(X12)
| c_Polynomial_Osmult(X12,X11,c_Polynomial_Osmult(X12,X10,X9)) = c_Polynomial_Osmult(X12,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X12),X11),X10),X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__smult])]) ).
cnf(c_0_25,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_21]) ).
cnf(c_0_26,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17])]) ).
fof(c_0_27,plain,
! [X8,X9] :
( ~ class_Rings_Ocomm__semiring__0(X9)
| c_Polynomial_Osmult(X9,c_Groups_Ozero__class_Ozero(X9),X8) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__0__left])]) ).
cnf(c_0_28,plain,
( c_Polynomial_Osmult(X1,X2,c_Polynomial_Osmult(X1,X3,X4)) = c_Polynomial_Osmult(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_17])]) ).
cnf(c_0_30,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
fof(c_0_31,plain,
! [X39,X40,X41,X42] :
( ~ class_Rings_Ocomm__semiring__1(X42)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X42),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X42),X41),X40)),X39) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X42),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X42),X41),X39)),X40) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J])]) ).
fof(c_0_32,plain,
! [X12,X13,X14,X15] :
( ~ class_Rings_Ocomm__semiring__0(X15)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X15)),X14),c_Polynomial_Osmult(X15,X13,X12)) = c_Polynomial_Osmult(X15,X13,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X15)),X14),X12)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__smult__right])]) ).
cnf(c_0_33,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_27]) ).
cnf(c_0_34,plain,
c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X2)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
fof(c_0_35,plain,
! [X9,X10,X11,X12] :
( ~ class_Rings_Ocomm__semiring__0(X12)
| c_Polynomial_Osmult(X12,X11,c_Polynomial_OpCons(X12,X10,X9)) = c_Polynomial_OpCons(X12,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X12),X11),X10),c_Polynomial_Osmult(X12,X11,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__pCons])]) ).
cnf(c_0_36,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_37,plain,
! [X9,X10,X11,X12] :
( ~ class_Rings_Ocomm__semiring__0(X12)
| c_Polynomial_Osmult(X12,c_Groups_Oplus__class_Oplus(X12,X11,X10),X9) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X12),c_Polynomial_Osmult(X12,X11,X9),c_Polynomial_Osmult(X12,X10,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__add__left])]) ).
fof(c_0_38,negated_conjecture,
c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_39,plain,
! [X12,X13,X14,X15] :
( ~ class_Rings_Ocomm__semiring__0(X15)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X15)),X14),c_Polynomial_OpCons(X15,X13,X12)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X15),c_Polynomial_Osmult(X15,X13,X14),c_Polynomial_OpCons(X15,c_Groups_Ozero__class_Ozero(X15),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X15)),X14),X12))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pCons__right])]) ).
cnf(c_0_40,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),c_Polynomial_Osmult(X1,X3,X4)) = c_Polynomial_Osmult(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X4))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_30])]) ).
cnf(c_0_42,plain,
( c_Polynomial_Osmult(X1,X2,c_Polynomial_OpCons(X1,X3,X4)) = c_Polynomial_OpCons(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Polynomial_Osmult(X1,X2,X4))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_29]),c_0_29]),c_0_17])]) ).
cnf(c_0_44,plain,
( c_Polynomial_Osmult(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_45,negated_conjecture,
c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
cnf(c_0_46,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),c_Polynomial_OpCons(X1,X3,X4)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X3,X2),c_Polynomial_OpCons(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X4)))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_41]),c_0_30])]) ).
cnf(c_0_48,plain,
c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_41]),c_0_43]),c_0_41]),c_0_30])]) ).
cnf(c_0_49,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = c_Polynomial_Osmult(tc_Complex_Ocomplex,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_41]),c_0_23]),c_0_30])]) ).
cnf(c_0_50,negated_conjecture,
c_Polynomial_Osmult(tc_Complex_Ocomplex,v_a,v_q) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),c_Polynomial_OpCons(tc_Complex_Ocomplex,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) = c_Polynomial_Osmult(tc_Complex_Ocomplex,X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_30])]),c_0_48]),c_0_49]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW290+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jun 6 03:19:19 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.44/23.46 eprover: CPU time limit exceeded, terminating
% 0.44/23.46 eprover: CPU time limit exceeded, terminating
% 0.44/23.46 eprover: CPU time limit exceeded, terminating
% 0.44/23.46 eprover: CPU time limit exceeded, terminating
% 0.44/24.63 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.44/24.63
% 0.44/24.63 # Failure: Resource limit exceeded (time)
% 0.44/24.63 # OLD status Res
% 0.44/24.63 # Preprocessing time : 0.084 s
% 0.44/24.63 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.44/24.63 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.44/24.63 # Preprocessing time : 0.045 s
% 0.44/24.63
% 0.44/24.63 # Proof found!
% 0.44/24.63 # SZS status Theorem
% 0.44/24.63 # SZS output start CNFRefutation
% See solution above
% 0.44/24.63 # Proof object total steps : 53
% 0.44/24.63 # Proof object clause steps : 26
% 0.44/24.63 # Proof object formula steps : 27
% 0.44/24.63 # Proof object conjectures : 5
% 0.44/24.63 # Proof object clause conjectures : 2
% 0.44/24.63 # Proof object formula conjectures : 3
% 0.44/24.63 # Proof object initial clauses used : 14
% 0.44/24.63 # Proof object initial formulas used : 14
% 0.44/24.63 # Proof object generating inferences : 11
% 0.44/24.63 # Proof object simplifying inferences : 29
% 0.44/24.63 # Training examples: 0 positive, 0 negative
% 0.44/24.63 # Parsed axioms : 1205
% 0.44/24.63 # Removed by relevancy pruning/SinE : 751
% 0.44/24.63 # Initial clauses : 636
% 0.44/24.63 # Removed in clause preprocessing : 40
% 0.44/24.63 # Initial clauses in saturation : 596
% 0.44/24.63 # Processed clauses : 839
% 0.44/24.63 # ...of these trivial : 87
% 0.44/24.63 # ...subsumed : 209
% 0.44/24.63 # ...remaining for further processing : 543
% 0.44/24.63 # Other redundant clauses eliminated : 63
% 0.44/24.63 # Clauses deleted for lack of memory : 0
% 0.44/24.63 # Backward-subsumed : 0
% 0.44/24.63 # Backward-rewritten : 14
% 0.44/24.63 # Generated clauses : 17820
% 0.44/24.63 # ...of the previous two non-trivial : 15410
% 0.44/24.63 # Contextual simplify-reflections : 17
% 0.44/24.63 # Paramodulations : 17728
% 0.44/24.63 # Factorizations : 4
% 0.44/24.63 # Equation resolutions : 88
% 0.44/24.63 # Current number of processed clauses : 513
% 0.44/24.63 # Positive orientable unit clauses : 123
% 0.44/24.63 # Positive unorientable unit clauses: 11
% 0.44/24.63 # Negative unit clauses : 10
% 0.44/24.63 # Non-unit-clauses : 369
% 0.44/24.63 # Current number of unprocessed clauses: 14903
% 0.44/24.63 # ...number of literals in the above : 40078
% 0.44/24.63 # Current number of archived formulas : 0
% 0.44/24.63 # Current number of archived clauses : 15
% 0.44/24.63 # Clause-clause subsumption calls (NU) : 10030
% 0.44/24.63 # Rec. Clause-clause subsumption calls : 8957
% 0.44/24.63 # Non-unit clause-clause subsumptions : 126
% 0.44/24.63 # Unit Clause-clause subsumption calls : 1409
% 0.44/24.63 # Rewrite failures with RHS unbound : 0
% 0.44/24.63 # BW rewrite match attempts : 708
% 0.44/24.63 # BW rewrite match successes : 74
% 0.44/24.63 # Condensation attempts : 0
% 0.44/24.63 # Condensation successes : 0
% 0.44/24.63 # Termbank termtop insertions : 422451
% 0.44/24.63
% 0.44/24.63 # -------------------------------------------------
% 0.44/24.63 # User time : 0.223 s
% 0.44/24.63 # System time : 0.018 s
% 0.44/24.63 # Total time : 0.241 s
% 0.44/24.63 # Maximum resident set size: 17452 pages
% 0.48/46.47 eprover: CPU time limit exceeded, terminating
% 0.48/46.48 eprover: CPU time limit exceeded, terminating
% 0.48/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.49 eprover: No such file or directory
% 0.48/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.49 eprover: No such file or directory
% 0.48/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.50 eprover: No such file or directory
% 0.48/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.50 eprover: No such file or directory
% 0.48/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.50 eprover: No such file or directory
% 0.48/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.50 eprover: No such file or directory
% 0.48/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.51 eprover: No such file or directory
% 0.48/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.51 eprover: No such file or directory
% 0.48/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.51 eprover: No such file or directory
% 0.48/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.52 eprover: No such file or directory
% 0.48/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.52 eprover: No such file or directory
% 0.48/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.52 eprover: No such file or directory
% 0.48/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.52 eprover: No such file or directory
% 0.48/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.53 eprover: No such file or directory
% 0.48/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.53 eprover: No such file or directory
% 0.48/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.53 eprover: No such file or directory
% 0.48/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.53 eprover: No such file or directory
% 0.48/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.53 eprover: No such file or directory
% 0.48/46.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.54 eprover: No such file or directory
% 0.48/46.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.48/46.54 eprover: No such file or directory
%------------------------------------------------------------------------------