TSTP Solution File: SWW287+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW287+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 00:10:28 EDT 2022
% Result : Theorem 0.32s 1.51s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 86 ( 63 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 87 ( 32 ~; 38 |; 8 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
( ! [X3] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
<=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact__096_B_Bx_O_A_091_124_Ap_Advd_Aq_A_094_ASuc_An_059_Apoly_Ap_Ax_A_061_A0_059_Apoly_Aq_Ax_A_126_061_A0_A_124_093_A_061_061_062_AFalse_096,axiom,
! [X4] :
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))
=> ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X4) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X4) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact__096_B_Bx_O_A_091_124_Ap_Advd_Aq_A_094_ASuc_An_059_Apoly_Ap_Ax_A_061_A0_059_Apoly_Aq_Ax_A_126_061_A0_A_124_093_A_061_061_062_AFalse_096) ).
fof(fact_Suc__eq__plus1,axiom,
! [X8] : c_Nat_OSuc(X8) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X8,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_Suc__eq__plus1) ).
fof(fact_n,axiom,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Nat_OSuc(v_n____),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_n) ).
fof(fact_pe,axiom,
v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_pe) ).
fof(fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096,axiom,
( ! [X3] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
=> ( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096) ).
fof(fact_dp,axiom,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_dp) ).
fof(c_0_7,negated_conjecture,
~ ( ! [X3] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
<=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_8,plain,
! [X5] :
( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X5) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X5) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096_B_Bx_O_A_091_124_Ap_Advd_Aq_A_094_ASuc_An_059_Apoly_Ap_Ax_A_061_A0_059_Apoly_Aq_Ax_A_126_061_A0_A_124_093_A_061_061_062_AFalse_096])])])]) ).
fof(c_0_9,plain,
! [X9] : c_Nat_OSuc(X9) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X9,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1]) ).
fof(c_0_10,negated_conjecture,
! [X5] :
( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk20_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
& ( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk20_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
& ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk20_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
& ( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk20_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
& ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X5) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X5) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
& ( v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X5) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X5) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])])]) ).
cnf(c_0_11,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Nat_OSuc(v_n____)))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
c_Nat_OSuc(X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Nat_OSuc(v_n____),
inference(split_conjunct,[status(thm)],[fact_n]) ).
cnf(c_0_14,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[fact_pe]) ).
fof(c_0_16,plain,
( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk3_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) )
& ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk3_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096])])])])])]) ).
cnf(c_0_17,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(rw,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(sr,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk3_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[fact_dp]) ).
cnf(c_0_22,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk20_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk20_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk3_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk3_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
inference(sr,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_28,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk3_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(sr,[status(thm)],[c_0_25,c_0_21]) ).
cnf(c_0_29,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk3_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(sr,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_23]),c_0_29])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWW287+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n024.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 : 600
% 0.12/0.33 % DateTime : Sun Jun 5 21:41:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/1.51 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.32/1.51 # Preprocessing time : 0.127 s
% 0.32/1.51
% 0.32/1.51 # Proof found!
% 0.32/1.51 # SZS status Theorem
% 0.32/1.51 # SZS output start CNFRefutation
% See solution above
% 0.32/1.51 # Proof object total steps : 31
% 0.32/1.51 # Proof object clause steps : 19
% 0.32/1.51 # Proof object formula steps : 12
% 0.32/1.51 # Proof object conjectures : 8
% 0.32/1.51 # Proof object clause conjectures : 5
% 0.32/1.51 # Proof object formula conjectures : 3
% 0.32/1.51 # Proof object initial clauses used : 10
% 0.32/1.51 # Proof object initial formulas used : 7
% 0.32/1.51 # Proof object generating inferences : 2
% 0.32/1.51 # Proof object simplifying inferences : 12
% 0.32/1.51 # Training examples: 0 positive, 0 negative
% 0.32/1.51 # Parsed axioms : 1206
% 0.32/1.51 # Removed by relevancy pruning/SinE : 0
% 0.32/1.51 # Initial clauses : 1677
% 0.32/1.51 # Removed in clause preprocessing : 89
% 0.32/1.51 # Initial clauses in saturation : 1588
% 0.32/1.51 # Processed clauses : 1674
% 0.32/1.51 # ...of these trivial : 9
% 0.32/1.51 # ...subsumed : 299
% 0.32/1.51 # ...remaining for further processing : 1365
% 0.32/1.51 # Other redundant clauses eliminated : 215
% 0.32/1.51 # Clauses deleted for lack of memory : 0
% 0.32/1.51 # Backward-subsumed : 1
% 0.32/1.51 # Backward-rewritten : 45
% 0.32/1.51 # Generated clauses : 78630
% 0.32/1.51 # ...of the previous two non-trivial : 72363
% 0.32/1.51 # Contextual simplify-reflections : 25
% 0.32/1.51 # Paramodulations : 78361
% 0.32/1.51 # Factorizations : 8
% 0.32/1.51 # Equation resolutions : 260
% 0.32/1.51 # Current number of processed clauses : 1276
% 0.32/1.51 # Positive orientable unit clauses : 202
% 0.32/1.51 # Positive unorientable unit clauses: 10
% 0.32/1.51 # Negative unit clauses : 18
% 0.32/1.51 # Non-unit-clauses : 1046
% 0.32/1.51 # Current number of unprocessed clauses: 67514
% 0.32/1.51 # ...number of literals in the above : 256160
% 0.32/1.51 # Current number of archived formulas : 0
% 0.32/1.51 # Current number of archived clauses : 48
% 0.32/1.51 # Clause-clause subsumption calls (NU) : 135599
% 0.32/1.51 # Rec. Clause-clause subsumption calls : 74541
% 0.32/1.51 # Non-unit clause-clause subsumptions : 248
% 0.32/1.51 # Unit Clause-clause subsumption calls : 1128
% 0.32/1.51 # Rewrite failures with RHS unbound : 0
% 0.32/1.51 # BW rewrite match attempts : 452
% 0.32/1.51 # BW rewrite match successes : 93
% 0.32/1.51 # Condensation attempts : 0
% 0.32/1.51 # Condensation successes : 0
% 0.32/1.51 # Termbank termtop insertions : 1768677
% 0.32/1.51
% 0.32/1.51 # -------------------------------------------------
% 0.32/1.51 # User time : 0.902 s
% 0.32/1.51 # System time : 0.035 s
% 0.32/1.51 # Total time : 0.937 s
% 0.32/1.51 # Maximum resident set size: 69348 pages
% 0.32/23.51 eprover: CPU time limit exceeded, terminating
% 0.32/23.51 eprover: CPU time limit exceeded, terminating
% 0.32/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.53 eprover: eprover: No such file or directory
% 0.32/23.53 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.53 eprover: No such file or directory
% 0.32/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.53 eprover: No such file or directory
% 0.32/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.53 eprover: No such file or directory
% 0.32/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.54 eprover: No such file or directory
% 0.32/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.54 eprover: No such file or directory
% 0.32/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.54 eprover: No such file or directory
% 0.32/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.54 eprover: No such file or directory
% 0.32/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.55 eprover: No such file or directory
% 0.32/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.55 eprover: No such file or directory
% 0.32/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.55 eprover: No such file or directory
% 0.32/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.55 eprover: No such file or directory
% 0.32/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.56 eprover: No such file or directory
% 0.32/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.56 eprover: No such file or directory
% 0.32/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.57 eprover: No such file or directory
% 0.32/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.57 eprover: No such file or directory
% 0.32/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.57 eprover: No such file or directory
% 0.32/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.57 eprover: No such file or directory
% 0.32/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.58 eprover: No such file or directory
% 0.32/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.58 eprover: No such file or directory
% 0.32/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.58 eprover: No such file or directory
% 0.32/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.32/23.58 eprover: No such file or directory
%------------------------------------------------------------------------------