TSTP Solution File: SWW247+1 by E-SAT---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW247+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n015.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 : Mon Jun 24 18:13:57 EDT 2024
% Result : Theorem 3.43s 1.10s
% Output : CNFRefutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 66 ( 17 unt; 0 def)
% Number of atoms : 127 ( 79 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 115 ( 54 ~; 49 |; 0 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 69 ( 8 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_x____) = hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_y____),
file('/export/starexec/sandbox/tmp/tmp.eeNmA03Ff5/E---3.1_25839.p',conj_0) ).
fof(clrel_Rings_Oidom__Rings_Ocomm__semiring__1,axiom,
! [X91] :
( class_Rings_Oidom(X91)
=> class_Rings_Ocomm__semiring__1(X91) ),
file('/export/starexec/sandbox/tmp/tmp.eeNmA03Ff5/E---3.1_25839.p',clrel_Rings_Oidom__Rings_Ocomm__semiring__1) ).
fof(fact_poly__pCons,axiom,
! [X14,X11,X12,X13] :
( class_Rings_Ocomm__semiring__0(X13)
=> hAPP(c_Polynomial_Opoly(X13,hAPP(hAPP(c_Polynomial_OpCons(X13),X12),X11)),X14) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X13),X12),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),X14),hAPP(c_Polynomial_Opoly(X13,X11),X14))) ),
file('/export/starexec/sandbox/tmp/tmp.eeNmA03Ff5/E---3.1_25839.p',fact_poly__pCons) ).
fof(fact_C,axiom,
( class_Rings_Oidom(t_a)
=> ! [X4] :
( X4 != c_Groups_Ozero__class_Ozero(t_a)
=> hAPP(c_Polynomial_Opoly(t_a,v_cs____),X4) = c_Groups_Ozero__class_Ozero(t_a) ) ),
file('/export/starexec/sandbox/tmp/tmp.eeNmA03Ff5/E---3.1_25839.p',fact_C) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X10,X12,X13] :
( class_Rings_Ocomm__semiring__1(X13)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X13),X12),X10) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X13),X10),X12) ),
file('/export/starexec/sandbox/tmp/tmp.eeNmA03Ff5/E---3.1_25839.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(tfree_0,hypothesis,
class_Rings_Oidom(t_a),
file('/export/starexec/sandbox/tmp/tmp.eeNmA03Ff5/E---3.1_25839.p',tfree_0) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X12,X13] :
( class_Rings_Ocomm__semiring__1(X13)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),X12),c_Groups_Ozero__class_Ozero(X13)) = c_Groups_Ozero__class_Ozero(X13) ),
file('/export/starexec/sandbox/tmp/tmp.eeNmA03Ff5/E---3.1_25839.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
! [X12,X13] :
( class_Rings_Ocomm__semiring__1(X13)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X13),c_Groups_Ozero__class_Ozero(X13)),X12) = X12 ),
file('/export/starexec/sandbox/tmp/tmp.eeNmA03Ff5/E---3.1_25839.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J) ).
fof(clrel_Rings_Oidom__Rings_Ocomm__semiring__0,axiom,
! [X91] :
( class_Rings_Oidom(X91)
=> class_Rings_Ocomm__semiring__0(X91) ),
file('/export/starexec/sandbox/tmp/tmp.eeNmA03Ff5/E---3.1_25839.p',clrel_Rings_Oidom__Rings_Ocomm__semiring__0) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
! [X12,X13] :
( class_Rings_Ocomm__semiring__1(X13)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X13),c_Groups_Ozero__class_Ozero(X13)),X12) = c_Groups_Ozero__class_Ozero(X13) ),
file('/export/starexec/sandbox/tmp/tmp.eeNmA03Ff5/E---3.1_25839.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
! [X12,X13] :
( class_Rings_Ocomm__semiring__1(X13)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X13),X12),c_Groups_Ozero__class_Ozero(X13)) = X12 ),
file('/export/starexec/sandbox/tmp/tmp.eeNmA03Ff5/E---3.1_25839.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).
fof(c_0_11,negated_conjecture,
hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_x____) != hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_y____),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_12,plain,
! [X170] :
( ~ class_Rings_Oidom(X170)
| class_Rings_Ocomm__semiring__1(X170) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[clrel_Rings_Oidom__Rings_Ocomm__semiring__1])])]) ).
fof(c_0_13,negated_conjecture,
hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_x____) != hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_y____),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X104,X105,X106,X107] :
( ~ class_Rings_Ocomm__semiring__0(X107)
| hAPP(c_Polynomial_Opoly(X107,hAPP(hAPP(c_Polynomial_OpCons(X107),X106),X105)),X104) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X107),X106),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X107),X104),hAPP(c_Polynomial_Opoly(X107,X105),X104))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__pCons])])]) ).
fof(c_0_15,plain,
( class_Rings_Oidom(t_a)
=> ! [X4] :
( X4 != c_Groups_Ozero__class_Ozero(t_a)
=> hAPP(c_Polynomial_Opoly(t_a,v_cs____),X4) = c_Groups_Ozero__class_Ozero(t_a) ) ),
inference(fof_simplification,[status(thm)],[fact_C]) ).
fof(c_0_16,plain,
! [X590,X591,X592] :
( ~ class_Rings_Ocomm__semiring__1(X592)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X592),X591),X590) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X592),X590),X591) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])])]) ).
cnf(c_0_17,plain,
( class_Rings_Ocomm__semiring__1(X1)
| ~ class_Rings_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,hypothesis,
class_Rings_Oidom(t_a),
inference(split_conjunct,[status(thm)],[tfree_0]) ).
cnf(c_0_19,negated_conjecture,
hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_x____) != hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_y____),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Polynomial_OpCons(X1),X2),X3)),X4) = hAPP(hAPP(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_14]) ).
fof(c_0_21,plain,
! [X134] :
( ~ class_Rings_Oidom(t_a)
| X134 = c_Groups_Ozero__class_Ozero(t_a)
| hAPP(c_Polynomial_Opoly(t_a,v_cs____),X134) = c_Groups_Ozero__class_Ozero(t_a) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_22,plain,
! [X593,X594] :
( ~ class_Rings_Ocomm__semiring__1(X594)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X594),X593),c_Groups_Ozero__class_Ozero(X594)) = c_Groups_Ozero__class_Ozero(X594) ),
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_23,plain,
! [X599,X600] :
( ~ class_Rings_Ocomm__semiring__1(X600)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X600),c_Groups_Ozero__class_Ozero(X600)),X599) = X599 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J])])]) ).
cnf(c_0_24,plain,
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X3),X2)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,hypothesis,
class_Rings_Ocomm__semiring__1(t_a),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
( hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_y____) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_x____)))
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( X1 = c_Groups_Ozero__class_Ozero(t_a)
| hAPP(c_Polynomial_Opoly(t_a,v_cs____),X1) = c_Groups_Ozero__class_Ozero(t_a)
| ~ class_Rings_Oidom(t_a) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,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_22]) ).
cnf(c_0_29,plain,
( hAPP(hAPP(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_23]) ).
cnf(c_0_30,hypothesis,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),X2),X1),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_x____))) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____)))
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_32,plain,
( hAPP(c_Polynomial_Opoly(t_a,v_cs____),X1) = c_Groups_Ozero__class_Ozero(t_a)
| X1 = c_Groups_Ozero__class_Ozero(t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_18])]) ).
cnf(c_0_33,hypothesis,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X1),c_Groups_Ozero__class_Ozero(t_a)) = c_Groups_Ozero__class_Ozero(t_a),
inference(spm,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_34,hypothesis,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),X1),c_Groups_Ozero__class_Ozero(t_a)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_25])]) ).
cnf(c_0_35,negated_conjecture,
( c_Groups_Ozero__class_Ozero(t_a) = v_x____
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____))) != v_c____
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).
fof(c_0_36,plain,
! [X171] :
( ~ class_Rings_Oidom(X171)
| class_Rings_Ocomm__semiring__0(X171) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[clrel_Rings_Oidom__Rings_Ocomm__semiring__0])])]) ).
fof(c_0_37,plain,
! [X595,X596] :
( ~ class_Rings_Ocomm__semiring__1(X596)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X596),c_Groups_Ozero__class_Ozero(X596)),X595) = c_Groups_Ozero__class_Ozero(X596) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J])])]) ).
cnf(c_0_38,negated_conjecture,
( c_Groups_Ozero__class_Ozero(t_a) = v_y____
| c_Groups_Ozero__class_Ozero(t_a) = v_x____
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_39,plain,
( class_Rings_Ocomm__semiring__0(X1)
| ~ class_Rings_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( c_Groups_Ozero__class_Ozero(t_a) = v_x____
| c_Groups_Ozero__class_Ozero(t_a) = v_y____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_18])]) ).
cnf(c_0_42,hypothesis,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),c_Groups_Ozero__class_Ozero(t_a)),X1) = c_Groups_Ozero__class_Ozero(t_a),
inference(spm,[status(thm)],[c_0_40,c_0_25]) ).
cnf(c_0_43,negated_conjecture,
( c_Groups_Ozero__class_Ozero(t_a) = v_y____
| v_x____ != v_y____ ),
inference(ef,[status(thm)],[c_0_41]) ).
cnf(c_0_44,hypothesis,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),X1) = v_y____
| v_x____ != v_y____ ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_45,plain,
! [X597,X598] :
( ~ class_Rings_Ocomm__semiring__1(X598)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X598),X597),c_Groups_Ozero__class_Ozero(X598)) = X597 ),
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])])]) ).
cnf(c_0_46,negated_conjecture,
( c_Groups_Ozero__class_Ozero(t_a) = v_x____
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),v_y____) != v_c____
| v_x____ != v_y____
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(spm,[status(thm)],[c_0_35,c_0_44]) ).
cnf(c_0_47,plain,
( hAPP(hAPP(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_45]) ).
cnf(c_0_48,negated_conjecture,
( c_Groups_Ozero__class_Ozero(t_a) = v_x____
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),v_y____) != v_c____
| v_x____ != v_y____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_39]),c_0_18])]) ).
cnf(c_0_49,negated_conjecture,
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),X1),v_y____) = X1
| v_x____ != v_y____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_43]),c_0_25])]) ).
cnf(c_0_50,negated_conjecture,
( c_Groups_Ozero__class_Ozero(t_a) = v_x____
| v_x____ != v_y____ ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,hypothesis,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x____),X1) = v_x____
| v_x____ != v_y____ ),
inference(spm,[status(thm)],[c_0_42,c_0_50]) ).
cnf(c_0_52,hypothesis,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x____),X1) = v_x____
| c_Groups_Ozero__class_Ozero(t_a) = v_y____ ),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
cnf(c_0_53,negated_conjecture,
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____))) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),v_x____)
| v_x____ != v_y____
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(spm,[status(thm)],[c_0_31,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
( c_Groups_Ozero__class_Ozero(t_a) = v_y____
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),hAPP(c_Polynomial_Opoly(t_a,v_cs____),v_y____))) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),v_x____)
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(spm,[status(thm)],[c_0_31,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),X1),v_x____) = X1
| c_Groups_Ozero__class_Ozero(t_a) = v_y____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_41]),c_0_25])]) ).
cnf(c_0_56,hypothesis,
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),v_x____) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),v_y____)
| v_x____ != v_y____
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(spm,[status(thm)],[c_0_53,c_0_44]) ).
cnf(c_0_57,negated_conjecture,
( c_Groups_Ozero__class_Ozero(t_a) = v_y____
| ~ class_Rings_Ocomm__semiring__0(t_a) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_32]),c_0_33]),c_0_34]),c_0_55]) ).
cnf(c_0_58,hypothesis,
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),v_x____) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),v_c____),v_y____)
| v_x____ != v_y____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_39]),c_0_18])]) ).
cnf(c_0_59,negated_conjecture,
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),X1),v_x____) = X1
| v_x____ != v_y____ ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_50]),c_0_25])]) ).
cnf(c_0_60,negated_conjecture,
c_Groups_Ozero__class_Ozero(t_a) = v_y____,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_39]),c_0_18])]) ).
cnf(c_0_61,negated_conjecture,
v_x____ != v_y____,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_49]) ).
cnf(c_0_62,hypothesis,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_y____),X1) = v_y____,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_60]),c_0_60]) ).
cnf(c_0_63,hypothesis,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(t_a),X1),v_y____) = X1,
inference(rw,[status(thm)],[c_0_34,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
~ class_Rings_Ocomm__semiring__0(t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_39]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW247+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12 % Command : run_E %s %d SAT
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 09:27:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.41/0.61 Running first-order model finding
% 0.41/0.61 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.eeNmA03Ff5/E---3.1_25839.p
% 3.43/1.10 # Version: 3.2.0
% 3.43/1.10 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.43/1.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.43/1.10 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.43/1.10 # Starting new_bool_3 with 300s (1) cores
% 3.43/1.10 # Starting new_bool_1 with 300s (1) cores
% 3.43/1.10 # Starting sh5l with 300s (1) cores
% 3.43/1.10 # new_bool_3 with pid 25917 completed with status 0
% 3.43/1.10 # Result found by new_bool_3
% 3.43/1.10 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.43/1.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.43/1.10 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.43/1.10 # Starting new_bool_3 with 300s (1) cores
% 3.43/1.10 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.43/1.10 # Search class: FGHSM-FSLM31-DFFFFFNN
% 3.43/1.10 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 3.43/1.10 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 3.43/1.10 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 25921 completed with status 0
% 3.43/1.10 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 3.43/1.10 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.43/1.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.43/1.10 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.43/1.10 # Starting new_bool_3 with 300s (1) cores
% 3.43/1.10 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.43/1.10 # Search class: FGHSM-FSLM31-DFFFFFNN
% 3.43/1.10 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 3.43/1.10 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 3.43/1.10 # Preprocessing time : 0.012 s
% 3.43/1.10 # Presaturation interreduction done
% 3.43/1.10
% 3.43/1.10 # Proof found!
% 3.43/1.10 # SZS status Theorem
% 3.43/1.10 # SZS output start CNFRefutation
% See solution above
% 3.43/1.10 # Parsed axioms : 1214
% 3.43/1.10 # Removed by relevancy pruning/SinE : 724
% 3.43/1.10 # Initial clauses : 695
% 3.43/1.10 # Removed in clause preprocessing : 43
% 3.43/1.10 # Initial clauses in saturation : 652
% 3.43/1.10 # Processed clauses : 4303
% 3.43/1.10 # ...of these trivial : 120
% 3.43/1.10 # ...subsumed : 2535
% 3.43/1.10 # ...remaining for further processing : 1648
% 3.43/1.10 # Other redundant clauses eliminated : 455
% 3.43/1.10 # Clauses deleted for lack of memory : 0
% 3.43/1.10 # Backward-subsumed : 73
% 3.43/1.10 # Backward-rewritten : 161
% 3.43/1.10 # Generated clauses : 25516
% 3.43/1.10 # ...of the previous two non-redundant : 22416
% 3.43/1.10 # ...aggressively subsumed : 0
% 3.43/1.10 # Contextual simplify-reflections : 8
% 3.43/1.10 # Paramodulations : 25040
% 3.43/1.10 # Factorizations : 13
% 3.43/1.10 # NegExts : 0
% 3.43/1.10 # Equation resolutions : 474
% 3.43/1.10 # Disequality decompositions : 0
% 3.43/1.10 # Total rewrite steps : 17907
% 3.43/1.10 # ...of those cached : 16405
% 3.43/1.10 # Propositional unsat checks : 0
% 3.43/1.10 # Propositional check models : 0
% 3.43/1.10 # Propositional check unsatisfiable : 0
% 3.43/1.10 # Propositional clauses : 0
% 3.43/1.10 # Propositional clauses after purity: 0
% 3.43/1.10 # Propositional unsat core size : 0
% 3.43/1.10 # Propositional preprocessing time : 0.000
% 3.43/1.10 # Propositional encoding time : 0.000
% 3.43/1.10 # Propositional solver time : 0.000
% 3.43/1.10 # Success case prop preproc time : 0.000
% 3.43/1.10 # Success case prop encoding time : 0.000
% 3.43/1.10 # Success case prop solver time : 0.000
% 3.43/1.10 # Current number of processed clauses : 883
% 3.43/1.10 # Positive orientable unit clauses : 143
% 3.43/1.10 # Positive unorientable unit clauses: 8
% 3.43/1.10 # Negative unit clauses : 131
% 3.43/1.10 # Non-unit-clauses : 601
% 3.43/1.10 # Current number of unprocessed clauses: 18874
% 3.43/1.10 # ...number of literals in the above : 50382
% 3.43/1.10 # Current number of archived formulas : 0
% 3.43/1.10 # Current number of archived clauses : 692
% 3.43/1.10 # Clause-clause subsumption calls (NU) : 48053
% 3.43/1.10 # Rec. Clause-clause subsumption calls : 42147
% 3.43/1.10 # Non-unit clause-clause subsumptions : 1092
% 3.43/1.10 # Unit Clause-clause subsumption calls : 2584
% 3.43/1.10 # Rewrite failures with RHS unbound : 0
% 3.43/1.10 # BW rewrite match attempts : 1258
% 3.43/1.10 # BW rewrite match successes : 141
% 3.43/1.10 # Condensation attempts : 0
% 3.43/1.10 # Condensation successes : 0
% 3.43/1.10 # Termbank termtop insertions : 630488
% 3.43/1.10 # Search garbage collected termcells : 13214
% 3.43/1.10
% 3.43/1.10 # -------------------------------------------------
% 3.43/1.10 # User time : 0.420 s
% 3.43/1.10 # System time : 0.024 s
% 3.43/1.10 # Total time : 0.444 s
% 3.43/1.10 # Maximum resident set size: 5012 pages
% 3.43/1.10
% 3.43/1.10 # -------------------------------------------------
% 3.43/1.10 # User time : 0.446 s
% 3.43/1.10 # System time : 0.024 s
% 3.43/1.10 # Total time : 0.471 s
% 3.43/1.10 # Maximum resident set size: 3240 pages
% 3.43/1.10 % E---3.1 exiting
% 3.43/1.10 % E exiting
%------------------------------------------------------------------------------