%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV822-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wj9s6Im0VP true
% 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 : 300s
% DateTime : Thu Oct 2 05:02:01 PM UTC 2025
% Result : Unsatisfiable 32.54s 5.24s
% Output : Refutation 32.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV822-1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wj9s6Im0VP true
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 12:41:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/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
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 32.54/5.24 % Solved by fo/fo6_bce.sh.
% 32.54/5.24 % BCE start: 727
% 32.54/5.24 % BCE eliminated: 120
% 32.54/5.24 % PE start: 607
% 32.54/5.24 logic: eq
% 32.54/5.24 % PE eliminated: 27
% 32.54/5.24 % done 2052 iterations in 4.497s
% 32.54/5.24 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 32.54/5.24 % SZS output start Refutation
% 32.54/5.24 thf(hBOOL_type, type, hBOOL: $i > $o).
% 32.54/5.24 thf(v_P_type, type, v_P: $i).
% 32.54/5.24 thf(tc_Com_Ocom_type, type, tc_Com_Ocom: $i).
% 32.54/5.24 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 32.54/5.24 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 32.54/5.24 thf(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1_type, type, c_Natural_Osko__Natural__Xevaln__elim__cases__6__1:
% 32.54/5.24 $i > $i > $i > $i > $i).
% 32.54/5.24 thf(v_x_type, type, v_x: $i).
% 32.54/5.24 thf(v_n_type, type, v_n: $i).
% 32.54/5.24 thf(c_Com_Ocom_OBODY_type, type, c_Com_Ocom_OBODY: $i > $i).
% 32.54/5.24 thf(v_xb_type, type, v_xb: $i).
% 32.54/5.24 thf(tc_nat_type, type, tc_nat: $i).
% 32.54/5.24 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 32.54/5.24 thf(c_Suc_type, type, c_Suc: $i > $i).
% 32.54/5.24 thf(v_xa_type, type, v_xa: $i).
% 32.54/5.24 thf(v_pn_type, type, v_pn: $i).
% 32.54/5.24 thf(c_Option_Othe_type, type, c_Option_Othe: $i > $i > $i).
% 32.54/5.24 thf(c_Com_Obody_type, type, c_Com_Obody: $i > $i).
% 32.54/5.24 thf(c_Natural_Oevaln_type, type, c_Natural_Oevaln: $i > $i > $i > $i > $o).
% 32.54/5.24 thf(v_Q_type, type, v_Q: $i).
% 32.54/5.24 thf(cls_conjecture_8, conjecture,
% 32.54/5.24 (hBOOL @ ( hAPP @ ( hAPP @ v_Q @ v_x ) @ v_xb ))).
% 32.54/5.24 thf(zf_stmt_0, negated_conjecture,
% 32.54/5.24 (~( hBOOL @ ( hAPP @ ( hAPP @ v_Q @ v_x ) @ v_xb ) )),
% 32.54/5.24 inference('cnf.neg', [status(esa)], [cls_conjecture_8])).
% 32.54/5.24 thf(zip_derived_cl698, plain,
% 32.54/5.24 (~ (hBOOL @ (hAPP @ (hAPP @ v_Q @ v_x) @ v_xb))),
% 32.54/5.24 inference('cnf', [status(esa)], [zf_stmt_0])).
% 32.54/5.24 thf(cls_evaln__elim__cases_I6_J_0, axiom,
% 32.54/5.24 (( ( V_n ) =
% 32.54/5.24 ( c_Suc @
% 32.54/5.24 ( c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @
% 32.54/5.24 V_P @ V_n @ V_s @ V_s1 ) ) ) |
% 32.54/5.24 ( ~( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ V_P ) @ V_s @ V_n @ V_s1 ) ))).
% 32.54/5.24 thf(zip_derived_cl678, plain,
% 32.54/5.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.54/5.24 (((X1)
% 32.54/5.24 = (c_Suc @
% 32.54/5.24 (c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @ X0 @ X1 @
% 32.54/5.24 X2 @ X3)))
% 32.54/5.24 | ~ (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ X0) @ X2 @ X1 @ X3))),
% 32.54/5.24 inference('cnf', [status(esa)], [cls_evaln__elim__cases_I6_J_0])).
% 32.54/5.24 thf(cls_not__less__eq__eq_0, axiom,
% 32.54/5.24 (( c_lessequals @ ( c_Suc @ V_n ) @ V_m @ tc_nat ) |
% 32.54/5.24 ( c_lessequals @ V_m @ V_n @ tc_nat ))).
% 32.54/5.24 thf(zip_derived_cl671, plain,
% 32.54/5.24 (![X0 : $i, X1 : $i]:
% 32.54/5.24 ( (c_lessequals @ (c_Suc @ X0) @ X1 @ tc_nat)
% 32.54/5.24 | (c_lessequals @ X1 @ X0 @ tc_nat))),
% 32.54/5.24 inference('cnf', [status(esa)], [cls_not__less__eq__eq_0])).
% 32.54/5.24 thf(cls_conjecture_4, conjecture,
% 32.54/5.24 (~( ( c_Natural_Oevaln @
% 32.54/5.24 ( c_Option_Othe @ ( c_Com_Obody @ v_pn ) @ tc_Com_Ocom ) @ v_xa @
% 32.54/5.24 v_n @ v_xb ) |
% 32.54/5.24 ( c_Natural_Oevaln @
% 32.54/5.24 ( c_Com_Ocom_OBODY @ v_pn ) @ v_xa @ ( c_Suc @ v_n ) @ v_xb ) ))).
% 32.54/5.24 thf(zf_stmt_1, negated_conjecture,
% 32.54/5.24 (( c_Natural_Oevaln @
% 32.54/5.24 ( c_Option_Othe @ ( c_Com_Obody @ v_pn ) @ tc_Com_Ocom ) @ v_xa @ v_n @
% 32.54/5.24 v_xb ) |
% 32.54/5.24 ( c_Natural_Oevaln @
% 32.54/5.24 ( c_Com_Ocom_OBODY @ v_pn ) @ v_xa @ ( c_Suc @ v_n ) @ v_xb )),
% 32.54/5.24 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 32.54/5.24 thf(zip_derived_cl694, plain,
% 32.54/5.24 (( (c_Natural_Oevaln @
% 32.54/5.24 (c_Option_Othe @ (c_Com_Obody @ v_pn) @ tc_Com_Ocom) @ v_xa @ v_n @
% 32.54/5.24 v_xb)
% 32.54/5.24 | (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ v_pn) @ v_xa @
% 32.54/5.24 (c_Suc @ v_n) @ v_xb))),
% 32.54/5.24 inference('cnf', [status(esa)], [zf_stmt_1])).
% 32.54/5.24 thf(cls_evaln_OBody_0, axiom,
% 32.54/5.24 (( c_Natural_Oevaln @
% 32.54/5.24 ( c_Com_Ocom_OBODY @ V_pn ) @ V_s0 @ ( c_Suc @ V_n ) @ V_s1 ) |
% 32.54/5.24 ( ~( c_Natural_Oevaln @
% 32.54/5.24 ( c_Option_Othe @ ( c_Com_Obody @ V_pn ) @ tc_Com_Ocom ) @ V_s0 @
% 32.54/5.24 V_n @ V_s1 ) ))).
% 32.54/5.24 thf(zip_derived_cl672, plain,
% 32.54/5.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.54/5.24 ( (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ X0) @ X1 @ (c_Suc @ X2) @ X3)
% 32.54/5.24 | ~ (c_Natural_Oevaln @
% 32.54/5.24 (c_Option_Othe @ (c_Com_Obody @ X0) @ tc_Com_Ocom) @ X1 @ X2 @
% 32.54/5.24 X3))),
% 32.54/5.24 inference('cnf', [status(esa)], [cls_evaln_OBody_0])).
% 32.54/5.24 thf(zip_derived_cl9613, plain,
% 32.54/5.24 (( (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ v_pn) @ v_xa @
% 32.54/5.24 (c_Suc @ v_n) @ v_xb)
% 32.54/5.24 | (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ v_pn) @ v_xa @
% 32.54/5.24 (c_Suc @ v_n) @ v_xb))),
% 32.54/5.24 inference('s_sup-', [status(thm)], [zip_derived_cl694, zip_derived_cl672])).
% 32.54/5.24 thf(zip_derived_cl9615, plain,
% 32.54/5.24 ( (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ v_pn) @ v_xa @ (c_Suc @ v_n) @
% 32.54/5.24 v_xb)),
% 32.54/5.24 inference('simplify', [status(thm)], [zip_derived_cl9613])).
% 32.54/5.24 thf(zip_derived_cl678, plain,
% 32.54/5.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.54/5.24 (((X1)
% 32.54/5.24 = (c_Suc @
% 32.54/5.24 (c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @ X0 @ X1 @
% 32.54/5.24 X2 @ X3)))
% 32.54/5.24 | ~ (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ X0) @ X2 @ X1 @ X3))),
% 32.54/5.24 inference('cnf', [status(esa)], [cls_evaln__elim__cases_I6_J_0])).
% 32.54/5.24 thf(cls_Suc__n__not__le__n_0, axiom,
% 32.54/5.24 (~( c_lessequals @ ( c_Suc @ V_n ) @ V_n @ tc_nat ))).
% 32.54/5.24 thf(zip_derived_cl638, plain,
% 32.54/5.24 (![X0 : $i]: ~ (c_lessequals @ (c_Suc @ X0) @ X0 @ tc_nat)),
% 32.54/5.24 inference('cnf', [status(esa)], [cls_Suc__n__not__le__n_0])).
% 32.54/5.24 thf(zip_derived_cl6823, plain,
% 32.54/5.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.54/5.24 (~ (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ X3) @ X2 @ X0 @ X1)
% 32.54/5.24 | ~ (c_lessequals @ X0 @
% 32.54/5.24 (c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @ X3 @ X0 @
% 32.54/5.24 X2 @ X1) @
% 32.54/5.24 tc_nat))),
% 32.54/5.24 inference('s_sup-', [status(thm)], [zip_derived_cl678, zip_derived_cl638])).
% 32.54/5.24 thf(zip_derived_cl9624, plain,
% 32.54/5.24 (~ (c_lessequals @ (c_Suc @ v_n) @
% 32.54/5.24 (c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @ v_pn @
% 32.54/5.24 (c_Suc @ v_n) @ v_xa @ v_xb) @
% 32.54/5.24 tc_nat)),
% 32.54/5.24 inference('s_sup-', [status(thm)],
% 32.54/5.24 [zip_derived_cl9615, zip_derived_cl6823])).
% 32.54/5.24 thf(zip_derived_cl10803, plain,
% 32.54/5.24 ( (c_lessequals @
% 32.54/5.24 (c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @ v_pn @
% 32.54/5.24 (c_Suc @ v_n) @ v_xa @ v_xb) @
% 32.54/5.24 v_n @ tc_nat)),
% 32.54/5.24 inference('s_sup-', [status(thm)],
% 32.54/5.24 [zip_derived_cl671, zip_derived_cl9624])).
% 32.54/5.24 thf(cls_le__less__Suc__eq_0, axiom,
% 32.54/5.24 (( ( V_n ) = ( V_m ) ) |
% 32.54/5.24 ( ~( c_HOL_Oord__class_Oless @ V_n @ ( c_Suc @ V_m ) @ tc_nat ) ) |
% 32.54/5.24 ( ~( c_lessequals @ V_m @ V_n @ tc_nat ) ))).
% 32.54/5.24 thf(zip_derived_cl557, plain,
% 32.54/5.24 (![X0 : $i, X1 : $i]:
% 32.54/5.24 (((X1) = (X0))
% 32.54/5.24 | ~ (c_HOL_Oord__class_Oless @ X1 @ (c_Suc @ X0) @ tc_nat)
% 32.54/5.24 | ~ (c_lessequals @ X0 @ X1 @ tc_nat))),
% 32.54/5.24 inference('cnf', [status(esa)], [cls_le__less__Suc__eq_0])).
% 32.54/5.24 thf(zip_derived_cl10822, plain,
% 32.54/5.24 ((((v_n)
% 32.54/5.24 = (c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @ v_pn @
% 32.54/5.24 (c_Suc @ v_n) @ v_xa @ v_xb))
% 32.54/5.24 | ~ (c_HOL_Oord__class_Oless @ v_n @
% 32.54/5.24 (c_Suc @
% 32.54/5.24 (c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @ v_pn @
% 32.54/5.24 (c_Suc @ v_n) @ v_xa @ v_xb)) @
% 32.54/5.24 tc_nat))),
% 32.54/5.24 inference('s_sup-', [status(thm)],
% 32.54/5.24 [zip_derived_cl10803, zip_derived_cl557])).
% 32.54/5.24 thf(zip_derived_cl21052, plain,
% 32.54/5.24 ((~ (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ v_pn) @ v_xa @
% 32.54/5.24 (c_Suc @ v_n) @ v_xb)
% 32.54/5.24 | ((v_n)
% 32.54/5.24 = (c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @ v_pn @
% 32.54/5.24 (c_Suc @ v_n) @ v_xa @ v_xb))
% 32.54/5.24 | ~ (c_HOL_Oord__class_Oless @ v_n @ (c_Suc @ v_n) @ tc_nat))),
% 32.54/5.24 inference('s_sup-', [status(thm)],
% 32.54/5.24 [zip_derived_cl678, zip_derived_cl10822])).
% 32.54/5.24 thf(zip_derived_cl9615, plain,
% 32.54/5.24 ( (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ v_pn) @ v_xa @ (c_Suc @ v_n) @
% 32.54/5.24 v_xb)),
% 32.54/5.24 inference('simplify', [status(thm)], [zip_derived_cl9613])).
% 32.54/5.24 thf(cls_le__less__Suc__eq_1, axiom,
% 32.54/5.24 (( ~( c_lessequals @ V_x @ V_x @ tc_nat ) ) |
% 32.54/5.24 ( c_HOL_Oord__class_Oless @ V_x @ ( c_Suc @ V_x ) @ tc_nat ))).
% 32.54/5.24 thf(zip_derived_cl93, plain,
% 32.54/5.24 (![X0 : $i]:
% 32.54/5.24 (~ (c_lessequals @ X0 @ X0 @ tc_nat)
% 32.54/5.24 | (c_HOL_Oord__class_Oless @ X0 @ (c_Suc @ X0) @ tc_nat))),
% 32.54/5.24 inference('cnf', [status(esa)], [cls_le__less__Suc__eq_1])).
% 32.54/5.24 thf(cls_le__refl_0, axiom, (c_lessequals @ V_n @ V_n @ tc_nat)).
% 32.54/5.24 thf(zip_derived_cl542, plain,
% 32.54/5.24 (![X0 : $i]: (c_lessequals @ X0 @ X0 @ tc_nat)),
% 32.54/5.24 inference('cnf', [status(esa)], [cls_le__refl_0])).
% 32.54/5.24 thf(zip_derived_cl3501, plain,
% 32.54/5.24 (![X0 : $i]: (c_HOL_Oord__class_Oless @ X0 @ (c_Suc @ X0) @ tc_nat)),
% 32.54/5.24 inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl542])).
% 32.54/5.24 thf(zip_derived_cl21053, plain,
% 32.54/5.24 (((v_n)
% 32.54/5.24 = (c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @ v_pn @
% 32.54/5.24 (c_Suc @ v_n) @ v_xa @ v_xb))),
% 32.54/5.24 inference('demod', [status(thm)],
% 32.54/5.24 [zip_derived_cl21052, zip_derived_cl9615, zip_derived_cl3501])).
% 32.54/5.24 thf(cls_evaln__elim__cases_I6_J_1, axiom,
% 32.54/5.24 (( c_Natural_Oevaln @
% 32.54/5.24 ( c_Option_Othe @ ( c_Com_Obody @ V_P ) @ tc_Com_Ocom ) @ V_s @
% 32.54/5.24 ( c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @
% 32.54/5.24 V_P @ V_n @ V_s @ V_s1 ) @
% 32.54/5.24 V_s1 ) |
% 32.54/5.24 ( ~( c_Natural_Oevaln @ ( c_Com_Ocom_OBODY @ V_P ) @ V_s @ V_n @ V_s1 ) ))).
% 32.54/5.24 thf(zip_derived_cl655, plain,
% 32.54/5.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.54/5.24 ( (c_Natural_Oevaln @
% 32.54/5.24 (c_Option_Othe @ (c_Com_Obody @ X0) @ tc_Com_Ocom) @ X1 @
% 32.54/5.24 (c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @ X0 @ X2 @
% 32.54/5.24 X1 @ X3) @
% 32.54/5.24 X3)
% 32.54/5.24 | ~ (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ X0) @ X1 @ X2 @ X3))),
% 32.54/5.24 inference('cnf', [status(esa)], [cls_evaln__elim__cases_I6_J_1])).
% 32.54/5.24 thf(zip_derived_cl21164, plain,
% 32.54/5.24 (( (c_Natural_Oevaln @
% 32.54/5.24 (c_Option_Othe @ (c_Com_Obody @ v_pn) @ tc_Com_Ocom) @ v_xa @ v_n @
% 32.54/5.24 v_xb)
% 32.54/5.24 | ~ (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ v_pn) @ v_xa @
% 32.54/5.24 (c_Suc @ v_n) @ v_xb))),
% 32.54/5.24 inference('s_sup+', [status(thm)],
% 32.54/5.24 [zip_derived_cl21053, zip_derived_cl655])).
% 32.54/5.24 thf(zip_derived_cl9615, plain,
% 32.54/5.24 ( (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ v_pn) @ v_xa @ (c_Suc @ v_n) @
% 32.54/5.24 v_xb)),
% 32.54/5.24 inference('simplify', [status(thm)], [zip_derived_cl9613])).
% 32.54/5.24 thf(zip_derived_cl21167, plain,
% 32.54/5.24 ( (c_Natural_Oevaln @
% 32.54/5.24 (c_Option_Othe @ (c_Com_Obody @ v_pn) @ tc_Com_Ocom) @ v_xa @ v_n @
% 32.54/5.24 v_xb)),
% 32.54/5.24 inference('demod', [status(thm)],
% 32.54/5.24 [zip_derived_cl21164, zip_derived_cl9615])).
% 32.54/5.24 thf(zip_derived_cl9615, plain,
% 32.54/5.24 ( (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ v_pn) @ v_xa @ (c_Suc @ v_n) @
% 32.54/5.24 v_xb)),
% 32.54/5.24 inference('simplify', [status(thm)], [zip_derived_cl9613])).
% 32.54/5.24 thf(cls_conjecture_0, conjecture,
% 32.54/5.24 (~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ v_x ) @ v_xa ) ))).
% 32.54/5.24 thf(zf_stmt_2, negated_conjecture,
% 32.54/5.24 (hBOOL @ ( hAPP @ ( hAPP @ v_P @ v_x ) @ v_xa )),
% 32.54/5.24 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 32.54/5.24 thf(zip_derived_cl690, plain,
% 32.54/5.24 ( (hBOOL @ (hAPP @ (hAPP @ v_P @ v_x) @ v_xa))),
% 32.54/5.24 inference('cnf', [status(esa)], [zf_stmt_2])).
% 32.54/5.24 thf(cls_conjecture_9, conjecture,
% 32.54/5.24 (~( ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Z ) @ V_s ) ) ) |
% 32.54/5.24 ( ~( c_Natural_Oevaln @
% 32.54/5.24 ( c_Com_Ocom_OBODY @ v_pn ) @ V_s @ ( c_Suc @ v_n ) @ V_s_H ) ) |
% 32.54/5.24 ( hBOOL @ ( hAPP @ ( hAPP @ v_Q @ V_Z ) @ V_s_H ) ) |
% 32.54/5.24 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Za ) @ V_sa ) ) ) |
% 32.54/5.24 ( ~( c_Natural_Oevaln @
% 32.54/5.24 ( c_Option_Othe @ ( c_Com_Obody @ v_pn ) @ tc_Com_Ocom ) @ V_sa @
% 32.54/5.24 v_n @ V_s_Ha ) ) |
% 32.54/5.24 ( hBOOL @ ( hAPP @ ( hAPP @ v_Q @ V_Za ) @ V_s_Ha ) ) ))).
% 32.54/5.24 thf(zf_stmt_3, negated_conjecture,
% 32.54/5.24 (( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Z ) @ V_s ) ) ) |
% 32.54/5.24 ( ~( c_Natural_Oevaln @
% 32.54/5.24 ( c_Com_Ocom_OBODY @ v_pn ) @ V_s @ ( c_Suc @ v_n ) @ V_s_H ) ) |
% 32.54/5.24 ( hBOOL @ ( hAPP @ ( hAPP @ v_Q @ V_Z ) @ V_s_H ) ) |
% 32.54/5.24 ( ~( hBOOL @ ( hAPP @ ( hAPP @ v_P @ V_Za ) @ V_sa ) ) ) |
% 32.54/5.24 ( ~( c_Natural_Oevaln @
% 32.54/5.24 ( c_Option_Othe @ ( c_Com_Obody @ v_pn ) @ tc_Com_Ocom ) @ V_sa @
% 32.54/5.24 v_n @ V_s_Ha ) ) |
% 32.54/5.24 ( hBOOL @ ( hAPP @ ( hAPP @ v_Q @ V_Za ) @ V_s_Ha ) )),
% 32.54/5.24 inference('cnf.neg', [status(esa)], [cls_conjecture_9])).
% 32.54/5.24 thf(zip_derived_cl699, plain,
% 32.54/5.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 32.54/5.24 (~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X0) @ X1))
% 32.54/5.24 | ~ (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ v_pn) @ X1 @
% 32.54/5.24 (c_Suc @ v_n) @ X2)
% 32.54/5.24 | (hBOOL @ (hAPP @ (hAPP @ v_Q @ X0) @ X2))
% 32.54/5.24 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X3) @ X4))
% 32.54/5.24 | ~ (c_Natural_Oevaln @
% 32.54/5.24 (c_Option_Othe @ (c_Com_Obody @ v_pn) @ tc_Com_Ocom) @ X4 @
% 32.54/5.24 v_n @ X5)
% 32.54/5.24 | (hBOOL @ (hAPP @ (hAPP @ v_Q @ X3) @ X5)))),
% 32.54/5.24 inference('cnf', [status(esa)], [zf_stmt_3])).
% 32.54/5.24 thf(zip_derived_cl11105, plain,
% 32.54/5.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 32.54/5.24 ( (hBOOL @ (hAPP @ (hAPP @ v_Q @ X1) @ X2))
% 32.54/5.24 | ~ (c_Natural_Oevaln @
% 32.54/5.24 (c_Option_Othe @ (c_Com_Obody @ v_pn) @ tc_Com_Ocom) @ X0 @
% 32.54/5.24 v_n @ X2)
% 32.54/5.24 | ~ (hBOOL @ (hAPP @ (hAPP @ v_P @ X1) @ X0))
% 32.54/5.24 | (hBOOL @ (hAPP @ (hAPP @ v_Q @ X1) @ X3))
% 32.54/5.24 | ~ (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ v_pn) @ X0 @
% 32.54/5.24 (c_Suc @ v_n) @ X3))),
% 32.54/5.24 inference('eq_fact', [status(thm)], [zip_derived_cl699])).
% 32.54/5.24 thf(zip_derived_cl11125, plain,
% 32.54/5.24 (![X0 : $i, X1 : $i]:
% 32.54/5.24 ( (hBOOL @ (hAPP @ (hAPP @ v_Q @ v_x) @ X0))
% 32.54/5.24 | ~ (c_Natural_Oevaln @
% 32.54/5.24 (c_Option_Othe @ (c_Com_Obody @ v_pn) @ tc_Com_Ocom) @ v_xa @
% 32.54/5.24 v_n @ X0)
% 32.54/5.24 | (hBOOL @ (hAPP @ (hAPP @ v_Q @ v_x) @ X1))
% 32.54/5.24 | ~ (c_Natural_Oevaln @ (c_Com_Ocom_OBODY @ v_pn) @ v_xa @
% 32.54/5.24 (c_Suc @ v_n) @ X1))),
% 32.54/5.24 inference('s_sup-', [status(thm)],
% 32.54/5.24 [zip_derived_cl690, zip_derived_cl11105])).
% 32.54/5.24 thf(zip_derived_cl11137, plain,
% 32.54/5.24 (![X0 : $i]:
% 32.54/5.24 ( (hBOOL @ (hAPP @ (hAPP @ v_Q @ v_x) @ X0))
% 32.54/5.24 | ~ (c_Natural_Oevaln @
% 32.54/5.24 (c_Option_Othe @ (c_Com_Obody @ v_pn) @ tc_Com_Ocom) @ v_xa @
% 32.54/5.24 v_n @ X0)
% 32.54/5.24 | (hBOOL @ (hAPP @ (hAPP @ v_Q @ v_x) @ v_xb)))),
% 32.54/5.24 inference('s_sup-', [status(thm)],
% 32.54/5.24 [zip_derived_cl9615, zip_derived_cl11125])).
% 32.54/5.24 thf(zip_derived_cl698, plain,
% 32.54/5.24 (~ (hBOOL @ (hAPP @ (hAPP @ v_Q @ v_x) @ v_xb))),
% 32.54/5.24 inference('cnf', [status(esa)], [zf_stmt_0])).
% 32.54/5.24 thf(zip_derived_cl11138, plain,
% 32.54/5.24 (![X0 : $i]:
% 32.54/5.24 ( (hBOOL @ (hAPP @ (hAPP @ v_Q @ v_x) @ X0))
% 32.54/5.24 | ~ (c_Natural_Oevaln @
% 32.54/5.24 (c_Option_Othe @ (c_Com_Obody @ v_pn) @ tc_Com_Ocom) @ v_xa @
% 32.54/5.24 v_n @ X0))),
% 32.54/5.24 inference('demod', [status(thm)],
% 32.54/5.24 [zip_derived_cl11137, zip_derived_cl698])).
% 32.54/5.24 thf(zip_derived_cl21266, plain,
% 32.54/5.24 ( (hBOOL @ (hAPP @ (hAPP @ v_Q @ v_x) @ v_xb))),
% 32.54/5.24 inference('s_sup-', [status(thm)],
% 32.54/5.24 [zip_derived_cl21167, zip_derived_cl11138])).
% 32.54/5.24 thf(zip_derived_cl21363, plain, ($false),
% 32.54/5.24 inference('demod', [status(thm)],
% 32.54/5.24 [zip_derived_cl698, zip_derived_cl21266])).
% 32.54/5.24
% 32.54/5.24 % SZS output end Refutation
% 32.54/5.24
% 32.54/5.24
% 32.54/5.24 % Terminating...
% 32.54/5.30 % Runner terminated.
% 32.54/5.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------