TSTP Solution File: SWW295+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW295+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wNi52HUQh0 true
% Computer : n025.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 : Fri Sep 1 01:41:28 EDT 2023
% Result : Theorem 13.92s 2.63s
% Output : Refutation 13.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 74 ( 1 unt; 17 typ; 0 def)
% Number of atoms : 197 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 1063 ( 99 ~; 90 |; 12 &; 824 @)
% ( 3 <=>; 9 =>; 26 <=; 0 <~>)
% Maximal formula depth : 20 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 12 con; 0-4 aty)
% Number of variables : 110 ( 0 ^; 110 !; 0 ?; 110 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Natural_Oevaln_type,type,
c_Natural_Oevaln: $i > $i > $i > $i > $o ).
thf(v_P_type,type,
v_P: $i > $i > $o ).
thf(sk__494_type,type,
sk__494: $i ).
thf(sk__497_type,type,
sk__497: $i ).
thf(sk__493_type,type,
sk__493: $i ).
thf(c_Com_Ocom_OBODY_type,type,
c_Com_Ocom_OBODY: $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_Com_Obody_type,type,
c_Com_Obody: $i ).
thf(v_n_type,type,
v_n: $i ).
thf(tc_Com_Ocom_type,type,
tc_Com_Ocom: $i ).
thf(c_Option_Othe_type,type,
c_Option_Othe: $i > $i ).
thf(sk__496_type,type,
sk__496: $i ).
thf(v_Q_type,type,
v_Q: $i > $i > $o ).
thf(sk__495_type,type,
sk__495: $i ).
thf(sk__498_type,type,
sk__498: $i ).
thf(v_pn_type,type,
v_pn: $i ).
thf(c_Nat_OSuc_type,type,
c_Nat_OSuc: $i ).
thf(conj_0,conjecture,
( ! [B_Z: $i,B_s: $i] :
( ( v_P @ B_Z @ B_s )
=> ! [B_s_H: $i] :
( ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ B_s @ v_n @ B_s_H )
=> ( v_Q @ B_Z @ B_s_H ) ) )
<=> ! [B_Z: $i,B_s: $i] :
( ( v_P @ B_Z @ B_s )
=> ! [B_s_H: $i] :
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ B_s @ ( hAPP @ c_Nat_OSuc @ v_n ) @ B_s_H )
=> ( v_Q @ B_Z @ B_s_H ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [B_Z: $i,B_s: $i] :
( ( v_P @ B_Z @ B_s )
=> ! [B_s_H: $i] :
( ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ B_s @ v_n @ B_s_H )
=> ( v_Q @ B_Z @ B_s_H ) ) )
<=> ! [B_Z: $i,B_s: $i] :
( ( v_P @ B_Z @ B_s )
=> ! [B_s_H: $i] :
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ B_s @ ( hAPP @ c_Nat_OSuc @ v_n ) @ B_s_H )
=> ( v_Q @ B_Z @ B_s_H ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl7466,plain,
( ( v_P @ sk__493 @ sk__494 )
| ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ( v_P @ sk__493 @ sk__494 )
| ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 ) ),
inference(split,[status(esa)],[zip_derived_cl7466]) ).
thf(zip_derived_cl7460,plain,
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 )
| ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7490,plain,
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 )
<= ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 ) ),
inference(split,[status(esa)],[zip_derived_cl7460]) ).
thf(zip_derived_cl7459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( v_P @ X0 @ X1 )
| ( v_Q @ X0 @ X2 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ X1 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X2 )
| ~ ( v_P @ X3 @ X4 )
| ( v_Q @ X3 @ X5 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ X4 @ v_n @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7488,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( v_P @ X0 @ X1 )
| ( v_Q @ X0 @ X2 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ X1 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X2 ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( v_P @ X0 @ X1 )
| ( v_Q @ X0 @ X2 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ X1 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7459]) ).
thf(zip_derived_cl7513,plain,
( ! [X0: $i] :
( ~ ( v_P @ X0 @ sk__494 )
| ( v_Q @ X0 @ sk__495 ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( v_P @ X0 @ X1 )
| ( v_Q @ X0 @ X2 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ X1 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X2 ) )
& ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7490,zip_derived_cl7488]) ).
thf(zip_derived_cl7463,plain,
( ~ ( v_Q @ sk__493 @ sk__495 )
| ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7495,plain,
( ~ ( v_Q @ sk__493 @ sk__495 )
<= ~ ( v_Q @ sk__493 @ sk__495 ) ),
inference(split,[status(esa)],[zip_derived_cl7463]) ).
thf(zip_derived_cl7518,plain,
( ~ ( v_P @ sk__493 @ sk__494 )
<= ( ~ ( v_Q @ sk__493 @ sk__495 )
& ! [X0: $i,X1: $i,X2: $i] :
( ~ ( v_P @ X0 @ X1 )
| ( v_Q @ X0 @ X2 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ X1 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X2 ) )
& ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7513,zip_derived_cl7495]) ).
thf(zip_derived_cl7501,plain,
( ( v_P @ sk__493 @ sk__494 )
<= ( v_P @ sk__493 @ sk__494 ) ),
inference(split,[status(esa)],[zip_derived_cl7466]) ).
thf('1',plain,
( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ ( v_P @ X0 @ X1 )
| ( v_Q @ X0 @ X2 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ X1 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X2 ) )
| ( v_Q @ sk__493 @ sk__495 )
| ~ ( v_P @ sk__493 @ sk__494 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7518,zip_derived_cl7501]) ).
thf(zip_derived_cl7489,plain,
( ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 )
<= ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 ) ),
inference(split,[status(esa)],[zip_derived_cl7460]) ).
thf(fact_evaln_OBody,axiom,
! [V_s1: $i,V_n: $i,V_s0: $i,V_pn: $i] :
( ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ V_pn ) ) @ V_s0 @ V_n @ V_s1 )
=> ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ V_pn ) @ V_s0 @ ( hAPP @ c_Nat_OSuc @ V_n ) @ V_s1 ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ X0 ) @ X1 @ ( hAPP @ c_Nat_OSuc @ X2 ) @ X3 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ X0 ) ) @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[fact_evaln_OBody]) ).
thf(zip_derived_cl7528,plain,
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__497 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__498 )
<= ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7489,zip_derived_cl1]) ).
thf(zip_derived_cl7488_001,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( v_P @ X0 @ X1 )
| ( v_Q @ X0 @ X2 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ X1 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X2 ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( v_P @ X0 @ X1 )
| ( v_Q @ X0 @ X2 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ X1 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7459]) ).
thf(zip_derived_cl7530,plain,
( ! [X0: $i] :
( ~ ( v_P @ X0 @ sk__497 )
| ( v_Q @ X0 @ sk__498 ) )
<= ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( v_P @ X0 @ X1 )
| ( v_Q @ X0 @ X2 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ X1 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X2 ) )
& ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7528,zip_derived_cl7488]) ).
thf(zip_derived_cl7461,plain,
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 )
| ~ ( v_Q @ sk__496 @ sk__498 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7491,plain,
( ~ ( v_Q @ sk__496 @ sk__498 )
<= ~ ( v_Q @ sk__496 @ sk__498 ) ),
inference(split,[status(esa)],[zip_derived_cl7461]) ).
thf(zip_derived_cl7542,plain,
( ~ ( v_P @ sk__496 @ sk__497 )
<= ( ~ ( v_Q @ sk__496 @ sk__498 )
& ! [X0: $i,X1: $i,X2: $i] :
( ~ ( v_P @ X0 @ X1 )
| ( v_Q @ X0 @ X2 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ X1 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X2 ) )
& ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7530,zip_derived_cl7491]) ).
thf(zip_derived_cl7462,plain,
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 )
| ( v_P @ sk__496 @ sk__497 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7493,plain,
( ( v_P @ sk__496 @ sk__497 )
<= ( v_P @ sk__496 @ sk__497 ) ),
inference(split,[status(esa)],[zip_derived_cl7462]) ).
thf('2',plain,
( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ ( v_P @ X0 @ X1 )
| ( v_Q @ X0 @ X2 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ X1 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X2 ) )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 )
| ~ ( v_P @ sk__496 @ sk__497 )
| ( v_Q @ sk__496 @ sk__498 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7542,zip_derived_cl7493]) ).
thf('3',plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ~ ( v_P @ X3 @ X4 )
| ( v_Q @ X3 @ X5 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ X4 @ v_n @ X5 ) )
| ! [X0: $i,X1: $i,X2: $i] :
( ~ ( v_P @ X0 @ X1 )
| ( v_Q @ X0 @ X2 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ X1 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7459]) ).
thf('4',plain,
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 )
| ~ ( v_Q @ sk__496 @ sk__498 ) ),
inference(split,[status(esa)],[zip_derived_cl7461]) ).
thf(zip_derived_cl7464,plain,
( ~ ( v_Q @ sk__493 @ sk__495 )
| ~ ( v_Q @ sk__496 @ sk__498 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('5',plain,
( ~ ( v_Q @ sk__496 @ sk__498 )
| ~ ( v_Q @ sk__493 @ sk__495 ) ),
inference(split,[status(esa)],[zip_derived_cl7464]) ).
thf(zip_derived_cl7467,plain,
( ( v_P @ sk__493 @ sk__494 )
| ~ ( v_Q @ sk__496 @ sk__498 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('6',plain,
( ( v_P @ sk__493 @ sk__494 )
| ~ ( v_Q @ sk__496 @ sk__498 ) ),
inference(split,[status(esa)],[zip_derived_cl7467]) ).
thf('7',plain,
( ~ ( v_Q @ sk__493 @ sk__495 )
| ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 ) ),
inference(split,[status(esa)],[zip_derived_cl7463]) ).
thf(zip_derived_cl7465,plain,
( ~ ( v_Q @ sk__493 @ sk__495 )
| ( v_P @ sk__496 @ sk__497 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
( ~ ( v_Q @ sk__493 @ sk__495 )
| ( v_P @ sk__496 @ sk__497 ) ),
inference(split,[status(esa)],[zip_derived_cl7465]) ).
thf('9',plain,
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 )
| ( v_P @ sk__496 @ sk__497 ) ),
inference(split,[status(esa)],[zip_derived_cl7462]) ).
thf(zip_derived_cl7468,plain,
( ( v_P @ sk__493 @ sk__494 )
| ( v_P @ sk__496 @ sk__497 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('10',plain,
( ( v_P @ sk__493 @ sk__494 )
| ( v_P @ sk__496 @ sk__497 ) ),
inference(split,[status(esa)],[zip_derived_cl7468]) ).
thf(zip_derived_cl7489_002,plain,
( ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 )
<= ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 ) ),
inference(split,[status(esa)],[zip_derived_cl7460]) ).
thf(zip_derived_cl7487,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ~ ( v_P @ X3 @ X4 )
| ( v_Q @ X3 @ X5 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ X4 @ v_n @ X5 ) )
<= ! [X3: $i,X4: $i,X5: $i] :
( ~ ( v_P @ X3 @ X4 )
| ( v_Q @ X3 @ X5 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ X4 @ v_n @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7459]) ).
thf(zip_derived_cl7529,plain,
( ! [X0: $i] :
( ~ ( v_P @ X0 @ sk__497 )
| ( v_Q @ X0 @ sk__498 ) )
<= ( ! [X3: $i,X4: $i,X5: $i] :
( ~ ( v_P @ X3 @ X4 )
| ( v_Q @ X3 @ X5 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ X4 @ v_n @ X5 ) )
& ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7489,zip_derived_cl7487]) ).
thf(zip_derived_cl7491_003,plain,
( ~ ( v_Q @ sk__496 @ sk__498 )
<= ~ ( v_Q @ sk__496 @ sk__498 ) ),
inference(split,[status(esa)],[zip_derived_cl7461]) ).
thf(zip_derived_cl7532,plain,
( ~ ( v_P @ sk__496 @ sk__497 )
<= ( ~ ( v_Q @ sk__496 @ sk__498 )
& ! [X3: $i,X4: $i,X5: $i] :
( ~ ( v_P @ X3 @ X4 )
| ( v_Q @ X3 @ X5 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ X4 @ v_n @ X5 ) )
& ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7529,zip_derived_cl7491]) ).
thf(zip_derived_cl7493_004,plain,
( ( v_P @ sk__496 @ sk__497 )
<= ( v_P @ sk__496 @ sk__497 ) ),
inference(split,[status(esa)],[zip_derived_cl7462]) ).
thf('11',plain,
( ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 )
| ~ ( v_P @ sk__496 @ sk__497 )
| ~ ! [X3: $i,X4: $i,X5: $i] :
( ~ ( v_P @ X3 @ X4 )
| ( v_Q @ X3 @ X5 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ X4 @ v_n @ X5 ) )
| ( v_Q @ sk__496 @ sk__498 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7532,zip_derived_cl7493]) ).
thf('12',plain,
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 )
| ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ sk__497 @ v_n @ sk__498 ) ),
inference(split,[status(esa)],[zip_derived_cl7460]) ).
thf(zip_derived_cl7490_005,plain,
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 )
<= ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 ) ),
inference(split,[status(esa)],[zip_derived_cl7460]) ).
thf(fact_evaln_Oequations_I9_J,axiom,
! [V_a4_2: $i,V_a3_2: $i,V_a2_2: $i,V_a1_2: $i] :
( ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ V_a1_2 ) @ V_a2_2 @ ( hAPP @ c_Nat_OSuc @ V_a3_2 ) @ V_a4_2 )
<=> ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ V_a1_2 ) ) @ V_a2_2 @ V_a3_2 @ V_a4_2 ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ X0 ) ) @ X1 @ X2 @ X3 )
| ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ X0 ) @ X1 @ ( hAPP @ c_Nat_OSuc @ X2 ) @ X3 ) ),
inference(cnf,[status(esa)],[fact_evaln_Oequations_I9_J]) ).
thf(zip_derived_cl7487_006,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ~ ( v_P @ X3 @ X4 )
| ( v_Q @ X3 @ X5 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ X4 @ v_n @ X5 ) )
<= ! [X3: $i,X4: $i,X5: $i] :
( ~ ( v_P @ X3 @ X4 )
| ( v_Q @ X3 @ X5 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ X4 @ v_n @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7459]) ).
thf(zip_derived_cl7516,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ X1 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X0 )
| ~ ( v_P @ X2 @ X1 )
| ( v_Q @ X2 @ X0 ) )
<= ! [X3: $i,X4: $i,X5: $i] :
( ~ ( v_P @ X3 @ X4 )
| ( v_Q @ X3 @ X5 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ X4 @ v_n @ X5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl7487]) ).
thf(zip_derived_cl7517,plain,
( ! [X0: $i] :
( ~ ( v_P @ X0 @ sk__494 )
| ( v_Q @ X0 @ sk__495 ) )
<= ( ! [X3: $i,X4: $i,X5: $i] :
( ~ ( v_P @ X3 @ X4 )
| ( v_Q @ X3 @ X5 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ X4 @ v_n @ X5 ) )
& ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7490,zip_derived_cl7516]) ).
thf(zip_derived_cl7495_007,plain,
( ~ ( v_Q @ sk__493 @ sk__495 )
<= ~ ( v_Q @ sk__493 @ sk__495 ) ),
inference(split,[status(esa)],[zip_derived_cl7463]) ).
thf(zip_derived_cl7524,plain,
( ~ ( v_P @ sk__493 @ sk__494 )
<= ( ~ ( v_Q @ sk__493 @ sk__495 )
& ! [X3: $i,X4: $i,X5: $i] :
( ~ ( v_P @ X3 @ X4 )
| ( v_Q @ X3 @ X5 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ X4 @ v_n @ X5 ) )
& ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7517,zip_derived_cl7495]) ).
thf(zip_derived_cl7501_008,plain,
( ( v_P @ sk__493 @ sk__494 )
<= ( v_P @ sk__493 @ sk__494 ) ),
inference(split,[status(esa)],[zip_derived_cl7466]) ).
thf('13',plain,
( ~ ( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ v_pn ) @ sk__494 @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__495 )
| ~ ( v_P @ sk__493 @ sk__494 )
| ~ ! [X3: $i,X4: $i,X5: $i] :
( ~ ( v_P @ X3 @ X4 )
| ( v_Q @ X3 @ X5 )
| ~ ( c_Natural_Oevaln @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) @ X4 @ v_n @ X5 ) )
| ( v_Q @ sk__493 @ sk__495 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7524,zip_derived_cl7501]) ).
thf(zip_derived_cl7545,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW295+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wNi52HUQh0 true
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 22:53:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 13.92/2.63 % Solved by fo/fo1_av.sh.
% 13.92/2.63 % done 80 iterations in 1.841s
% 13.92/2.63 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.92/2.63 % SZS output start Refutation
% See solution above
% 13.92/2.63
% 13.92/2.63
% 13.92/2.63 % Terminating...
% 13.92/2.69 % Runner terminated.
% 13.92/2.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------