%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG362-1 : 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.8aRGYtWPhx true
% Computer : n017.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 04:28:40 PM UTC 2025
% Result : Unsatisfiable 7.22s 1.69s
% Output : Refutation 7.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG362-1 : TPTP v9.2.0. Released v4.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8aRGYtWPhx true
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 17:05:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.22/1.69 % Solved by fo/fo5.sh.
% 7.22/1.69 % done 887 iterations in 0.877s
% 7.22/1.69 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.22/1.69 % SZS output start Refutation
% 7.22/1.69 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 7.22/1.69 $i > $i).
% 7.22/1.69 thf(c_Complex_ORe_type, type, c_Complex_ORe: $i > $i).
% 7.22/1.69 thf(c_HOL_Oabs__class_Oabs_type, type, c_HOL_Oabs__class_Oabs: $i > $i > $i).
% 7.22/1.69 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 7.22/1.69 thf(c_RealVector_Onorm__class_Onorm_type, type, c_RealVector_Onorm__class_Onorm:
% 7.22/1.69 $i > $i > $i).
% 7.22/1.69 thf(v_r_type, type, v_r: $i).
% 7.22/1.69 thf(v_s_type, type, v_s: $i).
% 7.22/1.69 thf(tc_RealDef_Oreal_type, type, tc_RealDef_Oreal: $i).
% 7.22/1.69 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 7.22/1.69 thf(class_Orderings_Opreorder_type, type, class_Orderings_Opreorder: $i > $o).
% 7.22/1.69 thf(class_Int_Onumber__ring_type, type, class_Int_Onumber__ring: $i > $o).
% 7.22/1.69 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 7.22/1.69 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 7.22/1.69 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i > $i > $o).
% 7.22/1.69 thf(tc_Complex_Ocomplex_type, type, tc_Complex_Ocomplex: $i).
% 7.22/1.69 thf(v_n_____type, type, v_n____: $i).
% 7.22/1.69 thf(class_Ring__and__Field_Oidom_type, type, class_Ring__and__Field_Oidom:
% 7.22/1.69 $i > $o).
% 7.22/1.69 thf(c_HOL_Ozero__class_Ozero_type, type, c_HOL_Ozero__class_Ozero: $i > $i).
% 7.22/1.69 thf(cls_r_0, axiom,
% 7.22/1.69 (c_lessequals @
% 7.22/1.69 ( c_RealVector_Onorm__class_Onorm @
% 7.22/1.69 ( hAPP @ v_s @ V_n ) @ tc_Complex_Ocomplex ) @
% 7.22/1.69 v_r @ tc_RealDef_Oreal)).
% 7.22/1.69 thf(zip_derived_cl624, plain,
% 7.22/1.69 (![X0 : $i]:
% 7.22/1.69 (c_lessequals @
% 7.22/1.69 (c_RealVector_Onorm__class_Onorm @ (hAPP @ v_s @ X0) @
% 7.22/1.69 tc_Complex_Ocomplex) @
% 7.22/1.69 v_r @ tc_RealDef_Oreal)),
% 7.22/1.69 inference('cnf', [status(esa)], [cls_r_0])).
% 7.22/1.69 thf(cls_abs__Re__le__cmod_0, axiom,
% 7.22/1.69 (c_lessequals @
% 7.22/1.69 ( c_HOL_Oabs__class_Oabs @ ( c_Complex_ORe @ V_x ) @ tc_RealDef_Oreal ) @
% 7.22/1.69 ( c_RealVector_Onorm__class_Onorm @ V_x @ tc_Complex_Ocomplex ) @
% 7.22/1.69 tc_RealDef_Oreal)).
% 7.22/1.69 thf(zip_derived_cl623, plain,
% 7.22/1.69 (![X0 : $i]:
% 7.22/1.69 (c_lessequals @
% 7.22/1.69 (c_HOL_Oabs__class_Oabs @ (c_Complex_ORe @ X0) @ tc_RealDef_Oreal) @
% 7.22/1.69 (c_RealVector_Onorm__class_Onorm @ X0 @ tc_Complex_Ocomplex) @
% 7.22/1.69 tc_RealDef_Oreal)),
% 7.22/1.69 inference('cnf', [status(esa)], [cls_abs__Re__le__cmod_0])).
% 7.22/1.69 thf(cls_real__le__linear_0, axiom,
% 7.22/1.69 (( c_lessequals @ V_w @ V_z @ tc_RealDef_Oreal ) |
% 7.22/1.69 ( c_lessequals @ V_z @ V_w @ tc_RealDef_Oreal ))).
% 7.22/1.69 thf(zip_derived_cl625, plain,
% 7.22/1.69 (![X0 : $i, X1 : $i]:
% 7.22/1.69 ( (c_lessequals @ X0 @ X1 @ tc_RealDef_Oreal)
% 7.22/1.69 | (c_lessequals @ X1 @ X0 @ tc_RealDef_Oreal))),
% 7.22/1.69 inference('cnf', [status(esa)], [cls_real__le__linear_0])).
% 7.22/1.69 thf(cls_conjecture_0, conjecture,
% 7.22/1.69 (c_lessequals @
% 7.22/1.69 ( c_HOL_Oabs__class_Oabs @
% 7.22/1.69 ( c_Complex_ORe @ ( hAPP @ v_s @ v_n____ ) ) @ tc_RealDef_Oreal ) @
% 7.22/1.69 ( c_HOL_Oplus__class_Oplus @
% 7.22/1.69 v_r @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ tc_RealDef_Oreal ) @
% 7.22/1.69 tc_RealDef_Oreal)).
% 7.22/1.69 thf(zf_stmt_0, negated_conjecture,
% 7.22/1.69 (~( c_lessequals @
% 7.22/1.69 ( c_HOL_Oabs__class_Oabs @
% 7.22/1.69 ( c_Complex_ORe @ ( hAPP @ v_s @ v_n____ ) ) @ tc_RealDef_Oreal ) @
% 7.22/1.69 ( c_HOL_Oplus__class_Oplus @
% 7.22/1.69 v_r @ ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @
% 7.22/1.69 tc_RealDef_Oreal ) @
% 7.22/1.69 tc_RealDef_Oreal )),
% 7.22/1.69 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 7.22/1.69 thf(zip_derived_cl674, plain,
% 7.22/1.69 (~ (c_lessequals @
% 7.22/1.69 (c_HOL_Oabs__class_Oabs @ (c_Complex_ORe @ (hAPP @ v_s @ v_n____)) @
% 7.22/1.69 tc_RealDef_Oreal) @
% 7.22/1.69 (c_HOL_Oplus__class_Oplus @ v_r @
% 7.22/1.69 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 7.22/1.69 tc_RealDef_Oreal)),
% 7.22/1.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.22/1.69 thf(zip_derived_cl1523, plain,
% 7.22/1.69 ( (c_lessequals @
% 7.22/1.69 (c_HOL_Oplus__class_Oplus @ v_r @
% 7.22/1.69 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 7.22/1.69 (c_HOL_Oabs__class_Oabs @ (c_Complex_ORe @ (hAPP @ v_s @ v_n____)) @
% 7.22/1.69 tc_RealDef_Oreal) @
% 7.22/1.69 tc_RealDef_Oreal)),
% 7.22/1.69 inference('sup-', [status(thm)], [zip_derived_cl625, zip_derived_cl674])).
% 7.22/1.69 thf(cls_xt1_I6_J_0, axiom,
% 7.22/1.69 (( ~( class_Orderings_Oorder @ T_a ) ) |
% 7.22/1.69 ( c_lessequals @ V_z @ V_x @ T_a ) |
% 7.22/1.69 ( ~( c_lessequals @ V_z @ V_y @ T_a ) ) |
% 7.22/1.69 ( ~( c_lessequals @ V_y @ V_x @ T_a ) ))).
% 7.22/1.69 thf(zip_derived_cl627, plain,
% 7.22/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.22/1.69 (~ (class_Orderings_Oorder @ X0)
% 7.22/1.69 | (c_lessequals @ X1 @ X2 @ X0)
% 7.22/1.69 | ~ (c_lessequals @ X1 @ X3 @ X0)
% 7.22/1.69 | ~ (c_lessequals @ X3 @ X2 @ X0))),
% 7.22/1.69 inference('cnf', [status(esa)], [cls_xt1_I6_J_0])).
% 7.22/1.69 thf(zip_derived_cl4328, plain,
% 7.22/1.69 (![X0 : $i]:
% 7.22/1.69 (~ (c_lessequals @
% 7.22/1.69 (c_HOL_Oabs__class_Oabs @
% 7.22/1.69 (c_Complex_ORe @ (hAPP @ v_s @ v_n____)) @ tc_RealDef_Oreal) @
% 7.22/1.69 X0 @ tc_RealDef_Oreal)
% 7.22/1.69 | (c_lessequals @
% 7.22/1.69 (c_HOL_Oplus__class_Oplus @ v_r @
% 7.22/1.69 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 7.22/1.69 X0 @ tc_RealDef_Oreal)
% 7.22/1.69 | ~ (class_Orderings_Oorder @ tc_RealDef_Oreal))),
% 7.22/1.69 inference('sup-', [status(thm)], [zip_derived_cl1523, zip_derived_cl627])).
% 7.22/1.69 thf(clsarity_RealDef__Oreal__Orderings_Oorder, axiom,
% 7.22/1.69 (class_Orderings_Oorder @ tc_RealDef_Oreal)).
% 7.22/1.69 thf(zip_derived_cl763, plain, ( (class_Orderings_Oorder @ tc_RealDef_Oreal)),
% 7.22/1.69 inference('cnf', [status(esa)],
% 7.22/1.69 [clsarity_RealDef__Oreal__Orderings_Oorder])).
% 7.22/1.69 thf(zip_derived_cl4358, plain,
% 7.22/1.69 (![X0 : $i]:
% 7.22/1.69 (~ (c_lessequals @
% 7.22/1.69 (c_HOL_Oabs__class_Oabs @
% 7.22/1.69 (c_Complex_ORe @ (hAPP @ v_s @ v_n____)) @ tc_RealDef_Oreal) @
% 7.22/1.69 X0 @ tc_RealDef_Oreal)
% 7.22/1.69 | (c_lessequals @
% 7.22/1.69 (c_HOL_Oplus__class_Oplus @ v_r @
% 7.22/1.69 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 7.22/1.69 X0 @ tc_RealDef_Oreal))),
% 7.22/1.69 inference('demod', [status(thm)], [zip_derived_cl4328, zip_derived_cl763])).
% 7.22/1.69 thf(zip_derived_cl4378, plain,
% 7.22/1.69 ( (c_lessequals @
% 7.22/1.69 (c_HOL_Oplus__class_Oplus @ v_r @
% 7.22/1.69 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 7.22/1.69 (c_RealVector_Onorm__class_Onorm @ (hAPP @ v_s @ v_n____) @
% 7.22/1.69 tc_Complex_Ocomplex) @
% 7.22/1.69 tc_RealDef_Oreal)),
% 7.22/1.69 inference('sup-', [status(thm)], [zip_derived_cl623, zip_derived_cl4358])).
% 7.22/1.69 thf(zip_derived_cl627, plain,
% 7.22/1.69 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.22/1.69 (~ (class_Orderings_Oorder @ X0)
% 7.22/1.69 | (c_lessequals @ X1 @ X2 @ X0)
% 7.22/1.69 | ~ (c_lessequals @ X1 @ X3 @ X0)
% 7.22/1.69 | ~ (c_lessequals @ X3 @ X2 @ X0))),
% 7.22/1.69 inference('cnf', [status(esa)], [cls_xt1_I6_J_0])).
% 7.22/1.69 thf(zip_derived_cl4418, plain,
% 7.22/1.69 (![X0 : $i]:
% 7.22/1.69 (~ (c_lessequals @
% 7.22/1.69 (c_RealVector_Onorm__class_Onorm @ (hAPP @ v_s @ v_n____) @
% 7.22/1.69 tc_Complex_Ocomplex) @
% 7.22/1.69 X0 @ tc_RealDef_Oreal)
% 7.22/1.69 | (c_lessequals @
% 7.22/1.69 (c_HOL_Oplus__class_Oplus @ v_r @
% 7.22/1.69 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 7.22/1.69 X0 @ tc_RealDef_Oreal)
% 7.22/1.69 | ~ (class_Orderings_Oorder @ tc_RealDef_Oreal))),
% 7.22/1.69 inference('sup-', [status(thm)], [zip_derived_cl4378, zip_derived_cl627])).
% 7.22/1.69 thf(zip_derived_cl763, plain, ( (class_Orderings_Oorder @ tc_RealDef_Oreal)),
% 7.22/1.69 inference('cnf', [status(esa)],
% 7.22/1.69 [clsarity_RealDef__Oreal__Orderings_Oorder])).
% 7.22/1.69 thf(zip_derived_cl4432, plain,
% 7.22/1.69 (![X0 : $i]:
% 7.22/1.69 (~ (c_lessequals @
% 7.22/1.69 (c_RealVector_Onorm__class_Onorm @ (hAPP @ v_s @ v_n____) @
% 7.22/1.69 tc_Complex_Ocomplex) @
% 7.22/1.69 X0 @ tc_RealDef_Oreal)
% 7.22/1.69 | (c_lessequals @
% 7.22/1.69 (c_HOL_Oplus__class_Oplus @ v_r @
% 7.22/1.69 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 7.22/1.69 X0 @ tc_RealDef_Oreal))),
% 7.22/1.69 inference('demod', [status(thm)], [zip_derived_cl4418, zip_derived_cl763])).
% 7.22/1.69 thf(zip_derived_cl4511, plain,
% 7.22/1.69 ( (c_lessequals @
% 7.22/1.69 (c_HOL_Oplus__class_Oplus @ v_r @
% 7.22/1.69 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 7.22/1.69 v_r @ tc_RealDef_Oreal)),
% 7.22/1.69 inference('sup-', [status(thm)], [zip_derived_cl624, zip_derived_cl4432])).
% 7.22/1.69 thf(cls_real__less__def_2, axiom,
% 7.22/1.69 (( c_HOL_Oord__class_Oless @ V_x @ V_y @ tc_RealDef_Oreal ) |
% 7.22/1.69 ( ( V_x ) = ( V_y ) ) |
% 7.22/1.69 ( ~( c_lessequals @ V_x @ V_y @ tc_RealDef_Oreal ) ))).
% 7.22/1.69 thf(zip_derived_cl433, plain,
% 7.22/1.69 (![X0 : $i, X1 : $i]:
% 7.22/1.69 ( (c_HOL_Oord__class_Oless @ X0 @ X1 @ tc_RealDef_Oreal)
% 7.22/1.69 | ((X0) = (X1))
% 7.22/1.69 | ~ (c_lessequals @ X0 @ X1 @ tc_RealDef_Oreal))),
% 7.22/1.69 inference('cnf', [status(esa)], [cls_real__less__def_2])).
% 7.22/1.69 thf(zip_derived_cl4524, plain,
% 7.22/1.69 ((((c_HOL_Oplus__class_Oplus @ v_r @
% 7.22/1.69 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 7.22/1.69 = (v_r))
% 7.22/1.69 | (c_HOL_Oord__class_Oless @
% 7.22/1.69 (c_HOL_Oplus__class_Oplus @ v_r @
% 7.22/1.69 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 7.22/1.69 v_r @ tc_RealDef_Oreal))),
% 7.22/1.69 inference('sup-', [status(thm)], [zip_derived_cl4511, zip_derived_cl433])).
% 7.22/1.69 thf(cls_real__abs__def_1, axiom,
% 7.22/1.69 (( ( c_HOL_Oabs__class_Oabs @ V_r @ tc_RealDef_Oreal ) = ( V_r ) ) |
% 7.22/1.69 ( c_HOL_Oord__class_Oless @
% 7.22/1.69 V_r @ ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ tc_RealDef_Oreal ))).
% 7.22/1.69 thf(zip_derived_cl547, plain,
% 7.22/1.69 (![X0 : $i]:
% 7.22/1.69 (((c_HOL_Oabs__class_Oabs @ X0 @ tc_RealDef_Oreal) = (X0))
% 7.22/1.69 | (c_HOL_Oord__class_Oless @ X0 @
% 7.22/1.69 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal))),
% 7.22/1.69 inference('cnf', [status(esa)], [cls_real__abs__def_1])).
% 7.22/1.69 thf(cls_rp_0, axiom,
% 7.22/1.69 (c_lessequals @
% 7.22/1.69 ( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_r @ tc_RealDef_Oreal)).
% 7.22/1.69 thf(zip_derived_cl615, plain,
% 7.22/1.69 ( (c_lessequals @ (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ v_r @
% 7.22/1.69 tc_RealDef_Oreal)),
% 7.22/1.69 inference('cnf', [status(esa)], [cls_rp_0])).
% 7.22/1.69 thf(cls_less__le__not__le_1, axiom,
% 7.22/1.69 (( ~( class_Orderings_Opreorder @ T_a ) ) |
% 7.22/1.69 ( ~( c_lessequals @ V_y @ V_x @ T_a ) ) |
% 7.22/1.69 ( ~( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ))).
% 7.22/1.69 thf(zip_derived_cl232, plain,
% 7.22/1.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.22/1.69 (~ (class_Orderings_Opreorder @ X0)
% 7.22/1.69 | ~ (c_lessequals @ X1 @ X2 @ X0)
% 7.22/1.69 | ~ (c_HOL_Oord__class_Oless @ X2 @ X1 @ X0))),
% 7.22/1.69 inference('cnf', [status(esa)], [cls_less__le__not__le_1])).
% 7.22/1.69 thf(zip_derived_cl947, plain,
% 7.22/1.69 ((~ (c_HOL_Oord__class_Oless @ v_r @
% 7.22/1.69 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 7.22/1.69 | ~ (class_Orderings_Opreorder @ tc_RealDef_Oreal))),
% 7.22/1.69 inference('sup-', [status(thm)], [zip_derived_cl615, zip_derived_cl232])).
% 7.22/1.69 thf(clsarity_RealDef__Oreal__Orderings_Opreorder, axiom,
% 7.22/1.69 (class_Orderings_Opreorder @ tc_RealDef_Oreal)).
% 7.22/1.69 thf(zip_derived_cl761, plain,
% 7.22/1.69 ( (class_Orderings_Opreorder @ tc_RealDef_Oreal)),
% 7.22/1.69 inference('cnf', [status(esa)],
% 7.22/1.69 [clsarity_RealDef__Oreal__Orderings_Opreorder])).
% 7.22/1.69 thf(zip_derived_cl958, plain,
% 7.22/1.69 (~ (c_HOL_Oord__class_Oless @ v_r @
% 7.22/1.69 (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)),
% 7.22/1.69 inference('demod', [status(thm)], [zip_derived_cl947, zip_derived_cl761])).
% 7.22/1.69 thf(zip_derived_cl1040, plain,
% 7.22/1.69 (((c_HOL_Oabs__class_Oabs @ v_r @ tc_RealDef_Oreal) = (v_r))),
% 7.22/1.69 inference('sup-', [status(thm)], [zip_derived_cl547, zip_derived_cl958])).
% 7.22/1.69 thf(cls_abs__add__one__not__less__self_0, axiom,
% 7.22/1.69 (~( c_HOL_Oord__class_Oless @
% 7.22/1.69 ( c_HOL_Oplus__class_Oplus @
% 7.22/1.69 ( c_HOL_Oabs__class_Oabs @ V_x @ tc_RealDef_Oreal ) @
% 7.22/1.69 ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ) @ tc_RealDef_Oreal ) @
% 7.22/1.69 V_x @ tc_RealDef_Oreal ))).
% 7.22/1.69 thf(zip_derived_cl622, plain,
% 7.22/1.69 (![X0 : $i]:
% 7.22/1.69 ~ (c_HOL_Oord__class_Oless @
% 7.22/1.69 (c_HOL_Oplus__class_Oplus @
% 7.22/1.69 (c_HOL_Oabs__class_Oabs @ X0 @ tc_RealDef_Oreal) @
% 7.22/1.69 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 7.22/1.69 X0 @ tc_RealDef_Oreal)),
% 7.22/1.69 inference('cnf', [status(esa)], [cls_abs__add__one__not__less__self_0])).
% 7.22/1.69 thf(zip_derived_cl1055, plain,
% 7.22/1.69 (~ (c_HOL_Oord__class_Oless @
% 7.22/1.69 (c_HOL_Oplus__class_Oplus @ v_r @
% 7.22/1.69 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal) @
% 7.22/1.69 v_r @ tc_RealDef_Oreal)),
% 7.22/1.69 inference('sup-', [status(thm)], [zip_derived_cl1040, zip_derived_cl622])).
% 7.22/1.69 thf(zip_derived_cl5014, plain,
% 7.22/1.69 (((c_HOL_Oplus__class_Oplus @ v_r @
% 7.22/1.69 (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal) @ tc_RealDef_Oreal)
% 7.22/1.69 = (v_r))),
% 7.22/1.69 inference('clc', [status(thm)], [zip_derived_cl4524, zip_derived_cl1055])).
% 7.22/1.69 thf(cls_class__ringb_Oadd__r0__iff_0, axiom,
% 7.22/1.69 (( ~( class_Ring__and__Field_Oidom @ T_a ) ) |
% 7.22/1.69 ( ~( class_Int_Onumber__ring @ T_a ) ) |
% 7.22/1.69 ( ( V_x ) != ( c_HOL_Oplus__class_Oplus @ V_x @ V_a @ T_a ) ) |
% 7.22/1.69 ( ( V_a ) = ( c_HOL_Ozero__class_Ozero @ T_a ) ))).
% 7.22/1.69 thf(zip_derived_cl387, plain,
% 7.22/1.69 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.22/1.69 (~ (class_Ring__and__Field_Oidom @ X0)
% 7.22/1.69 | ~ (class_Int_Onumber__ring @ X0)
% 7.22/1.69 | ((X1) != (c_HOL_Oplus__class_Oplus @ X1 @ X2 @ X0))
% 7.22/1.69 | ((X2) = (c_HOL_Ozero__class_Ozero @ X0)))),
% 7.22/1.69 inference('cnf', [status(esa)], [cls_class__ringb_Oadd__r0__iff_0])).
% 7.22/1.69 thf(zip_derived_cl5038, plain,
% 7.22/1.69 ((((v_r) != (v_r))
% 7.22/1.69 | ((c_HOL_Oone__class_Oone @ tc_RealDef_Oreal)
% 7.22/1.69 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))
% 7.22/1.69 | ~ (class_Int_Onumber__ring @ tc_RealDef_Oreal)
% 7.22/1.69 | ~ (class_Ring__and__Field_Oidom @ tc_RealDef_Oreal))),
% 7.22/1.69 inference('sup-', [status(thm)], [zip_derived_cl5014, zip_derived_cl387])).
% 7.22/1.69 thf(clsarity_RealDef__Oreal__Int_Onumber__ring, axiom,
% 7.22/1.69 (class_Int_Onumber__ring @ tc_RealDef_Oreal)).
% 7.22/1.69 thf(zip_derived_cl764, plain,
% 7.22/1.69 ( (class_Int_Onumber__ring @ tc_RealDef_Oreal)),
% 7.22/1.69 inference('cnf', [status(esa)],
% 7.22/1.69 [clsarity_RealDef__Oreal__Int_Onumber__ring])).
% 7.22/1.69 thf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom, axiom,
% 7.22/1.69 (class_Ring__and__Field_Oidom @ tc_RealDef_Oreal)).
% 7.22/1.69 thf(zip_derived_cl760, plain,
% 7.22/1.69 ( (class_Ring__and__Field_Oidom @ tc_RealDef_Oreal)),
% 7.22/1.69 inference('cnf', [status(esa)],
% 7.22/1.69 [clsarity_RealDef__Oreal__Ring__and__Field_Oidom])).
% 7.22/1.69 thf(zip_derived_cl5053, plain,
% 7.22/1.69 ((((v_r) != (v_r))
% 7.22/1.69 | ((c_HOL_Oone__class_Oone @ tc_RealDef_Oreal)
% 7.22/1.69 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)))),
% 7.22/1.69 inference('demod', [status(thm)],
% 7.22/1.69 [zip_derived_cl5038, zip_derived_cl764, zip_derived_cl760])).
% 7.22/1.69 thf(zip_derived_cl5054, plain,
% 7.22/1.69 (((c_HOL_Oone__class_Oone @ tc_RealDef_Oreal)
% 7.22/1.69 = (c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal))),
% 7.22/1.69 inference('simplify', [status(thm)], [zip_derived_cl5053])).
% 7.22/1.69 thf(cls_real__zero__not__eq__one_0, axiom,
% 7.22/1.69 (( c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal ) !=
% 7.22/1.69 ( c_HOL_Oone__class_Oone @ tc_RealDef_Oreal ))).
% 7.22/1.69 thf(zip_derived_cl451, plain,
% 7.22/1.69 (((c_HOL_Ozero__class_Ozero @ tc_RealDef_Oreal)
% 7.22/1.69 != (c_HOL_Oone__class_Oone @ tc_RealDef_Oreal))),
% 7.22/1.69 inference('cnf', [status(esa)], [cls_real__zero__not__eq__one_0])).
% 7.22/1.69 thf(zip_derived_cl5055, plain, ($false),
% 7.22/1.69 inference('simplify_reflect-', [status(thm)],
% 7.22/1.69 [zip_derived_cl5054, zip_derived_cl451])).
% 7.22/1.69
% 7.22/1.69 % SZS output end Refutation
% 7.22/1.69
% 7.22/1.69
% 7.22/1.69 % Terminating...
% 7.69/1.79 % Runner terminated.
% 7.73/1.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------