TSTP Solution File: COL106-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL106-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nfs7eMYqko 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 : Wed Aug 30 18:34:56 EDT 2023
% Result : Unsatisfiable 125.16s 18.73s
% Output : Refutation 125.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL106-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nfs7eMYqko true
% 0.14/0.34 % Computer : n025.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 : Sun Aug 27 04:20:23 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 125.16/18.73 % Solved by fo/fo4.sh.
% 125.16/18.73 % done 5866 iterations in 17.963s
% 125.16/18.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 125.16/18.73 % SZS output start Refutation
% 125.16/18.73 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 125.16/18.73 thf(v_sko__uTI_type, type, v_sko__uTI: $i > $i > $i > $i).
% 125.16/18.73 thf(c_Comb_Ocomb_OK_type, type, c_Comb_Ocomb_OK: $i).
% 125.16/18.73 thf(tc_Comb_Ocomb_type, type, tc_Comb_Ocomb: $i).
% 125.16/18.73 thf(v_x_type, type, v_x: $i).
% 125.16/18.73 thf(v_sko__uTH_type, type, v_sko__uTH: $i > $i > $i > $i).
% 125.16/18.73 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 125.16/18.73 thf(v_sko__uTE_type, type, v_sko__uTE: $i > $i > $i).
% 125.16/18.73 thf(v_sko__uTG_type, type, v_sko__uTG: $i > $i > $i > $i).
% 125.16/18.73 thf(v_sko__uTF_type, type, v_sko__uTF: $i > $i > $i > $i).
% 125.16/18.73 thf(v_xb_type, type, v_xb: $i).
% 125.16/18.73 thf(c_Comb_Ocomb_OS_type, type, c_Comb_Ocomb_OS: $i).
% 125.16/18.73 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 125.16/18.73 thf('#_fresh_sk2_type', type, '#_fresh_sk2': $i > $i).
% 125.16/18.73 thf(c_Comb_Oparcontract_type, type, c_Comb_Oparcontract: $i).
% 125.16/18.73 thf(v_ya_type, type, v_ya: $i).
% 125.16/18.73 thf('#_fresh_sk1_type', type, '#_fresh_sk1': $i > $i).
% 125.16/18.73 thf(c_Comb_Ocomb_Oop_A_D_D_type, type, c_Comb_Ocomb_Oop_A_D_D: $i > $i > $i).
% 125.16/18.73 thf(cls_Comb_Oparcontract_Ointros__1_0, axiom,
% 125.16/18.73 (c_in @
% 125.16/18.73 ( c_Pair @ V_x @ V_x @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ))).
% 125.16/18.73 thf(zip_derived_cl9, plain,
% 125.16/18.73 (![X0 : $i]:
% 125.16/18.73 (c_in @ (c_Pair @ X0 @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_Oparcontract_Ointros__1_0])).
% 125.16/18.73 thf(cls_conjecture_1, conjecture,
% 125.16/18.73 (~( ( ~( c_in @
% 125.16/18.73 ( c_Pair @ v_x @ V_U @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 125.16/18.73 ( ~( c_in @
% 125.16/18.73 ( c_Pair @ v_xb @ V_U @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) ))).
% 125.16/18.73 thf(zf_stmt_0, negated_conjecture,
% 125.16/18.73 (( ~( c_in @
% 125.16/18.73 ( c_Pair @ v_x @ V_U @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 125.16/18.73 ( ~( c_in @
% 125.16/18.73 ( c_Pair @ v_xb @ V_U @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) )),
% 125.16/18.73 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 125.16/18.73 thf(zip_derived_cl1, plain,
% 125.16/18.73 (![X0 : $i]:
% 125.16/18.73 (~ (c_in @ (c_Pair @ v_x @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ~ (c_in @ (c_Pair @ v_xb @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 125.16/18.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 125.16/18.73 thf(zip_derived_cl17, plain,
% 125.16/18.73 (~ (c_in @ (c_Pair @ v_xb @ v_x @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 125.16/18.73 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 125.16/18.73 thf(cls_Comb_Oparcontract_Ointros__4_0, axiom,
% 125.16/18.73 (( ~( c_in @
% 125.16/18.73 ( c_Pair @ V_z @ V_w @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 125.16/18.73 ( ~( c_in @
% 125.16/18.73 ( c_Pair @ V_x @ V_y @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 125.16/18.73 ( c_in @
% 125.16/18.73 ( c_Pair @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @ V_x @ V_z ) @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @ V_y @ V_w ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ))).
% 125.16/18.73 thf(zip_derived_cl11, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 125.16/18.73 (~ (c_in @ (c_Pair @ X0 @ X1 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ~ (c_in @ (c_Pair @ X2 @ X3 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | (c_in @
% 125.16/18.73 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X0) @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ X3 @ X1) @ tc_Comb_Ocomb @
% 125.16/18.73 tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_Oparcontract_Ointros__4_0])).
% 125.16/18.73 thf(cls_Comb_OK1__parcontractD__dest_0, axiom,
% 125.16/18.73 (( ~( c_in @
% 125.16/18.73 ( c_Pair @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ V_x ) @ V_z @
% 125.16/18.73 tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 125.16/18.73 ( ( V_z ) =
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ ( v_sko__uTE @ V_x @ V_z ) ) ))).
% 125.16/18.73 thf(zip_derived_cl7, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 (~ (c_in @
% 125.16/18.73 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0) @ X1 @
% 125.16/18.73 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ((X1)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @ X0 @ X1))))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_OK1__parcontractD__dest_0])).
% 125.16/18.73 thf(zip_derived_cl62, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 125.16/18.73 (~ (c_in @
% 125.16/18.73 (c_Pair @ c_Comb_Ocomb_OK @ X1 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ~ (c_in @ (c_Pair @ X2 @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ X1 @ X0)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @ X2 @ (c_Comb_Ocomb_Oop_A_D_D @ X1 @ X0)))))),
% 125.16/18.73 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 125.16/18.73 thf(zip_derived_cl9, plain,
% 125.16/18.73 (![X0 : $i]:
% 125.16/18.73 (c_in @ (c_Pair @ X0 @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_Oparcontract_Ointros__1_0])).
% 125.16/18.73 thf(zip_derived_cl1268, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 (((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @ X1 @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0))))
% 125.16/18.73 | ~ (c_in @ (c_Pair @ X1 @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl9])).
% 125.16/18.73 thf(cls_conjecture_0, conjecture,
% 125.16/18.73 (~( c_in @
% 125.16/18.73 ( c_Pair @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x ) @ v_ya ) @
% 125.16/18.73 v_xb @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ))).
% 125.16/18.73 thf(zf_stmt_1, negated_conjecture,
% 125.16/18.73 (c_in @
% 125.16/18.73 ( c_Pair @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x ) @ v_ya ) @
% 125.16/18.73 v_xb @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb )),
% 125.16/18.73 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 125.16/18.73 thf(zip_derived_cl0, plain,
% 125.16/18.73 ( (c_in @
% 125.16/18.73 (c_Pair @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya) @
% 125.16/18.73 v_xb @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 125.16/18.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 125.16/18.73 thf(zip_derived_cl1466, plain,
% 125.16/18.73 (((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya) @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl0])).
% 125.16/18.73 thf(cls_Comb_Ocomb_Oinject__iff1_1, axiom,
% 125.16/18.73 (( ( c_Comb_Ocomb_Oop_A_D_D @ V_comb1 @ V_comb2 ) !=
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @ V_comb1_H @ V_comb2_H ) ) |
% 125.16/18.73 ( ( V_comb2 ) = ( V_comb2_H ) ))).
% 125.16/18.73 thf(zip_derived_cl6, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 125.16/18.73 (((c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)
% 125.16/18.73 != (c_Comb_Ocomb_Oop_A_D_D @ X0 @ X1))
% 125.16/18.73 | ((X3) = (X1)))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_Ocomb_Oinject__iff1_1])).
% 125.16/18.73 thf(zip_derived_cl15, plain,
% 125.16/18.73 (![X2 : $i, X3 : $i]:
% 125.16/18.73 (('#_fresh_sk2' @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)) = (X3))),
% 125.16/18.73 inference('inj_rec', [status(thm)], [zip_derived_cl6])).
% 125.16/18.73 thf(zip_derived_cl1686, plain,
% 125.16/18.73 ((('#_fresh_sk2' @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 = (v_sko__uTE @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya) @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl1466, zip_derived_cl15])).
% 125.16/18.73 thf(zip_derived_cl15, plain,
% 125.16/18.73 (![X2 : $i, X3 : $i]:
% 125.16/18.73 (('#_fresh_sk2' @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)) = (X3))),
% 125.16/18.73 inference('inj_rec', [status(thm)], [zip_derived_cl6])).
% 125.16/18.73 thf(zip_derived_cl1753, plain,
% 125.16/18.73 (((v_xb)
% 125.16/18.73 = (v_sko__uTE @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya) @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb)))),
% 125.16/18.73 inference('demod', [status(thm)], [zip_derived_cl1686, zip_derived_cl15])).
% 125.16/18.73 thf(zip_derived_cl0, plain,
% 125.16/18.73 ( (c_in @
% 125.16/18.73 (c_Pair @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya) @
% 125.16/18.73 v_xb @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 125.16/18.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 125.16/18.73 thf(cls_Comb_OAp__parcontractE_0, axiom,
% 125.16/18.73 (( ~( c_in @
% 125.16/18.73 ( c_Pair @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @ V_p @ V_q ) @ V_r @ tc_Comb_Ocomb @
% 125.16/18.73 tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 125.16/18.73 ( ( V_r ) = ( c_Comb_Ocomb_Oop_A_D_D @ V_p @ V_q ) ) |
% 125.16/18.73 ( ( V_p ) = ( c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ V_r ) ) |
% 125.16/18.73 ( ( V_p ) =
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 c_Comb_Ocomb_OS @ ( v_sko__uTF @ V_p @ V_q @ V_r ) ) @
% 125.16/18.73 ( v_sko__uTG @ V_p @ V_q @ V_r ) ) ) |
% 125.16/18.73 ( ( V_r ) =
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 ( v_sko__uTI @ V_p @ V_q @ V_r ) @ ( v_sko__uTH @ V_p @ V_q @ V_r ) ) ))).
% 125.16/18.73 thf(zip_derived_cl2, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 125.16/18.73 (~ (c_in @
% 125.16/18.73 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ X0 @ X1) @ X2 @
% 125.16/18.73 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ((X2) = (c_Comb_Ocomb_Oop_A_D_D @ X0 @ X1))
% 125.16/18.73 | ((X0) = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X2))
% 125.16/18.73 | ((X0)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @ X0 @ X1 @ X2)) @
% 125.16/18.73 (v_sko__uTG @ X0 @ X1 @ X2)))
% 125.16/18.73 | ((X2)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ (v_sko__uTI @ X0 @ X1 @ X2) @
% 125.16/18.73 (v_sko__uTH @ X0 @ X1 @ X2))))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_OAp__parcontractE_0])).
% 125.16/18.73 thf(zip_derived_cl60, plain,
% 125.16/18.73 ((((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (v_sko__uTI @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb) @
% 125.16/18.73 (v_sko__uTH @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb)) @
% 125.16/18.73 (v_sko__uTG @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb)))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya)))),
% 125.16/18.73 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 125.16/18.73 thf(cls_Comb_Ocomb_Oinject__iff1_0, axiom,
% 125.16/18.73 (( ( c_Comb_Ocomb_Oop_A_D_D @ V_comb1 @ V_comb2 ) !=
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @ V_comb1_H @ V_comb2_H ) ) |
% 125.16/18.73 ( ( V_comb1 ) = ( V_comb1_H ) ))).
% 125.16/18.73 thf(zip_derived_cl5, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 125.16/18.73 (((c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)
% 125.16/18.73 != (c_Comb_Ocomb_Oop_A_D_D @ X0 @ X1))
% 125.16/18.73 | ((X2) = (X0)))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_Ocomb_Oinject__iff1_0])).
% 125.16/18.73 thf(zip_derived_cl13, plain,
% 125.16/18.73 (![X2 : $i, X3 : $i]:
% 125.16/18.73 (('#_fresh_sk1' @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)) = (X2))),
% 125.16/18.73 inference('inj_rec', [status(thm)], [zip_derived_cl5])).
% 125.16/18.73 thf(zip_derived_cl79, plain,
% 125.16/18.73 (((('#_fresh_sk1' @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x))
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (v_sko__uTI @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb) @
% 125.16/18.73 (v_sko__uTH @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb))))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl13])).
% 125.16/18.73 thf(zip_derived_cl13, plain,
% 125.16/18.73 (![X2 : $i, X3 : $i]:
% 125.16/18.73 (('#_fresh_sk1' @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)) = (X2))),
% 125.16/18.73 inference('inj_rec', [status(thm)], [zip_derived_cl5])).
% 125.16/18.73 thf(zip_derived_cl83, plain,
% 125.16/18.73 ((((c_Comb_Ocomb_OK)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (v_sko__uTI @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb) @
% 125.16/18.73 (v_sko__uTH @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb))))),
% 125.16/18.73 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl13])).
% 125.16/18.73 thf(cls_Comb_Ocomb_Odistinct__3__iff1_0, axiom,
% 125.16/18.73 (( c_Comb_Ocomb_OK ) != ( c_Comb_Ocomb_Oop_A_D_D @ V_comb1_H @ V_comb2_H ))).
% 125.16/18.73 thf(zip_derived_cl4, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 ((c_Comb_Ocomb_OK) != (c_Comb_Ocomb_Oop_A_D_D @ X0 @ X1))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_Ocomb_Odistinct__3__iff1_0])).
% 125.16/18.73 thf(zip_derived_cl84, plain,
% 125.16/18.73 ((((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (v_sko__uTI @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb) @
% 125.16/18.73 (v_sko__uTH @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb))))),
% 125.16/18.73 inference('simplify_reflect-', [status(thm)],
% 125.16/18.73 [zip_derived_cl83, zip_derived_cl4])).
% 125.16/18.73 thf(zip_derived_cl13, plain,
% 125.16/18.73 (![X2 : $i, X3 : $i]:
% 125.16/18.73 (('#_fresh_sk1' @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)) = (X2))),
% 125.16/18.73 inference('inj_rec', [status(thm)], [zip_derived_cl5])).
% 125.16/18.73 thf(zip_derived_cl140, plain,
% 125.16/18.73 (((('#_fresh_sk1' @ v_xb)
% 125.16/18.73 = (v_sko__uTI @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl13])).
% 125.16/18.73 thf(zip_derived_cl0, plain,
% 125.16/18.73 ( (c_in @
% 125.16/18.73 (c_Pair @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya) @
% 125.16/18.73 v_xb @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 125.16/18.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 125.16/18.73 thf(cls_Comb_OAp__parcontractE_2, axiom,
% 125.16/18.73 (( ~( c_in @
% 125.16/18.73 ( c_Pair @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @ V_p @ V_q ) @ V_r @ tc_Comb_Ocomb @
% 125.16/18.73 tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 125.16/18.73 ( c_in @
% 125.16/18.73 ( c_Pair @
% 125.16/18.73 V_p @ ( v_sko__uTI @ V_p @ V_q @ V_r ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) |
% 125.16/18.73 ( ( V_r ) = ( c_Comb_Ocomb_Oop_A_D_D @ V_p @ V_q ) ) |
% 125.16/18.73 ( ( V_p ) = ( c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ V_r ) ) |
% 125.16/18.73 ( ( V_p ) =
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 c_Comb_Ocomb_OS @ ( v_sko__uTF @ V_p @ V_q @ V_r ) ) @
% 125.16/18.73 ( v_sko__uTG @ V_p @ V_q @ V_r ) ) ))).
% 125.16/18.73 thf(zip_derived_cl3, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 125.16/18.73 (~ (c_in @
% 125.16/18.73 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ X0 @ X1) @ X2 @
% 125.16/18.73 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | (c_in @
% 125.16/18.73 (c_Pair @ X0 @ (v_sko__uTI @ X0 @ X1 @ X2) @ tc_Comb_Ocomb @
% 125.16/18.73 tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ((X2) = (c_Comb_Ocomb_Oop_A_D_D @ X0 @ X1))
% 125.16/18.73 | ((X0) = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X2))
% 125.16/18.73 | ((X0)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @ X0 @ X1 @ X2)) @
% 125.16/18.73 (v_sko__uTG @ X0 @ X1 @ X2))))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_OAp__parcontractE_2])).
% 125.16/18.73 thf(zip_derived_cl71, plain,
% 125.16/18.73 ((((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)) @
% 125.16/18.73 (v_sko__uTG @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | (c_in @
% 125.16/18.73 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 (v_sko__uTI @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb) @
% 125.16/18.73 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 125.16/18.73 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 125.16/18.73 thf(zip_derived_cl7, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 (~ (c_in @
% 125.16/18.73 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0) @ X1 @
% 125.16/18.73 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ((X1)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @ X0 @ X1))))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_OK1__parcontractD__dest_0])).
% 125.16/18.73 thf(zip_derived_cl629, plain,
% 125.16/18.73 ((((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb)) @
% 125.16/18.73 (v_sko__uTG @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb)))
% 125.16/18.73 | ((v_sko__uTI @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @ v_x @
% 125.16/18.73 (v_sko__uTI @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb)))))),
% 125.16/18.73 inference('sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl7])).
% 125.16/18.73 thf(zip_derived_cl13, plain,
% 125.16/18.73 (![X2 : $i, X3 : $i]:
% 125.16/18.73 (('#_fresh_sk1' @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)) = (X2))),
% 125.16/18.73 inference('inj_rec', [status(thm)], [zip_derived_cl5])).
% 125.16/18.73 thf(zip_derived_cl36128, plain,
% 125.16/18.73 (((('#_fresh_sk1' @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x))
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)))
% 125.16/18.73 | ((v_sko__uTI @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @ v_x @
% 125.16/18.73 (v_sko__uTI @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb))))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl629, zip_derived_cl13])).
% 125.16/18.73 thf(zip_derived_cl13, plain,
% 125.16/18.73 (![X2 : $i, X3 : $i]:
% 125.16/18.73 (('#_fresh_sk1' @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)) = (X2))),
% 125.16/18.73 inference('inj_rec', [status(thm)], [zip_derived_cl5])).
% 125.16/18.73 thf(zip_derived_cl36262, plain,
% 125.16/18.73 ((((c_Comb_Ocomb_OK)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)))
% 125.16/18.73 | ((v_sko__uTI @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @ v_x @
% 125.16/18.73 (v_sko__uTI @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb))))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya)))),
% 125.16/18.73 inference('demod', [status(thm)], [zip_derived_cl36128, zip_derived_cl13])).
% 125.16/18.73 thf(zip_derived_cl4, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 ((c_Comb_Ocomb_OK) != (c_Comb_Ocomb_Oop_A_D_D @ X0 @ X1))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_Ocomb_Odistinct__3__iff1_0])).
% 125.16/18.73 thf(zip_derived_cl36263, plain,
% 125.16/18.73 ((((v_sko__uTI @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @ v_x @
% 125.16/18.73 (v_sko__uTI @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb))))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya)))),
% 125.16/18.73 inference('simplify_reflect-', [status(thm)],
% 125.16/18.73 [zip_derived_cl36262, zip_derived_cl4])).
% 125.16/18.73 thf(zip_derived_cl38387, plain,
% 125.16/18.73 ((((v_sko__uTI @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @ v_x @ ('#_fresh_sk1' @ v_xb))))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl36263])).
% 125.16/18.73 thf(zip_derived_cl38388, plain,
% 125.16/18.73 ((((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((v_sko__uTI @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @ v_x @ ('#_fresh_sk1' @ v_xb)))))),
% 125.16/18.73 inference('simplify', [status(thm)], [zip_derived_cl38387])).
% 125.16/18.73 thf(zip_derived_cl84, plain,
% 125.16/18.73 ((((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (v_sko__uTI @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb) @
% 125.16/18.73 (v_sko__uTH @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb))))),
% 125.16/18.73 inference('simplify_reflect-', [status(thm)],
% 125.16/18.73 [zip_derived_cl83, zip_derived_cl4])).
% 125.16/18.73 thf(zip_derived_cl15, plain,
% 125.16/18.73 (![X2 : $i, X3 : $i]:
% 125.16/18.73 (('#_fresh_sk2' @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)) = (X3))),
% 125.16/18.73 inference('inj_rec', [status(thm)], [zip_derived_cl6])).
% 125.16/18.73 thf(zip_derived_cl141, plain,
% 125.16/18.73 (((('#_fresh_sk2' @ v_xb)
% 125.16/18.73 = (v_sko__uTH @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl15])).
% 125.16/18.73 thf(zip_derived_cl84, plain,
% 125.16/18.73 ((((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (v_sko__uTI @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb) @
% 125.16/18.73 (v_sko__uTH @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb))))),
% 125.16/18.73 inference('simplify_reflect-', [status(thm)],
% 125.16/18.73 [zip_derived_cl83, zip_derived_cl4])).
% 125.16/18.73 thf(zip_derived_cl146, plain,
% 125.16/18.73 ((((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (v_sko__uTI @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb) @
% 125.16/18.73 ('#_fresh_sk2' @ v_xb)))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl84])).
% 125.16/18.73 thf(zip_derived_cl147, plain,
% 125.16/18.73 ((((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (v_sko__uTI @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb) @
% 125.16/18.73 ('#_fresh_sk2' @ v_xb))))),
% 125.16/18.73 inference('simplify', [status(thm)], [zip_derived_cl146])).
% 125.16/18.73 thf(zip_derived_cl39155, plain,
% 125.16/18.73 ((((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @ v_x @ ('#_fresh_sk1' @ v_xb))) @
% 125.16/18.73 ('#_fresh_sk2' @ v_xb)))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl38388, zip_derived_cl147])).
% 125.16/18.73 thf(zip_derived_cl39180, plain,
% 125.16/18.73 ((((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @ v_x @ ('#_fresh_sk1' @ v_xb))) @
% 125.16/18.73 ('#_fresh_sk2' @ v_xb))))),
% 125.16/18.73 inference('simplify', [status(thm)], [zip_derived_cl39155])).
% 125.16/18.73 thf(cls_Comb_Oparcontract_Ointros__2_0, axiom,
% 125.16/18.73 (c_in @
% 125.16/18.73 ( c_Pair @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ V_x ) @ V_y ) @
% 125.16/18.73 V_x @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ))).
% 125.16/18.73 thf(zip_derived_cl10, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 (c_in @
% 125.16/18.73 (c_Pair @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0) @ X1) @
% 125.16/18.73 X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_Oparcontract_Ointros__2_0])).
% 125.16/18.73 thf(zip_derived_cl39588, plain,
% 125.16/18.73 (( (c_in @
% 125.16/18.73 (c_Pair @ v_xb @ (v_sko__uTE @ v_x @ ('#_fresh_sk1' @ v_xb)) @
% 125.16/18.73 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl39180, zip_derived_cl10])).
% 125.16/18.73 thf(zip_derived_cl140, plain,
% 125.16/18.73 (((('#_fresh_sk1' @ v_xb)
% 125.16/18.73 = (v_sko__uTI @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl13])).
% 125.16/18.73 thf(zip_derived_cl71, plain,
% 125.16/18.73 ((((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)) @
% 125.16/18.73 (v_sko__uTG @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | (c_in @
% 125.16/18.73 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 (v_sko__uTI @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb) @
% 125.16/18.73 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 125.16/18.73 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 125.16/18.73 thf(zip_derived_cl636, plain,
% 125.16/18.73 (( (c_in @
% 125.16/18.73 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 ('#_fresh_sk1' @ v_xb) @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb)) @
% 125.16/18.73 (v_sko__uTG @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya @ v_xb))))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl71])).
% 125.16/18.73 thf(zip_derived_cl637, plain,
% 125.16/18.73 ((((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)) @
% 125.16/18.73 (v_sko__uTG @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | (c_in @
% 125.16/18.73 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 ('#_fresh_sk1' @ v_xb) @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 125.16/18.73 inference('simplify', [status(thm)], [zip_derived_cl636])).
% 125.16/18.73 thf(zip_derived_cl13, plain,
% 125.16/18.73 (![X2 : $i, X3 : $i]:
% 125.16/18.73 (('#_fresh_sk1' @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)) = (X2))),
% 125.16/18.73 inference('inj_rec', [status(thm)], [zip_derived_cl5])).
% 125.16/18.73 thf(zip_derived_cl652, plain,
% 125.16/18.73 (((('#_fresh_sk1' @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x))
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)))
% 125.16/18.73 | (c_in @
% 125.16/18.73 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 ('#_fresh_sk1' @ v_xb) @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl637, zip_derived_cl13])).
% 125.16/18.73 thf(zip_derived_cl13, plain,
% 125.16/18.73 (![X2 : $i, X3 : $i]:
% 125.16/18.73 (('#_fresh_sk1' @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)) = (X2))),
% 125.16/18.73 inference('inj_rec', [status(thm)], [zip_derived_cl5])).
% 125.16/18.73 thf(zip_derived_cl661, plain,
% 125.16/18.73 ((((c_Comb_Ocomb_OK)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @
% 125.16/18.73 (v_sko__uTF @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 v_ya @ v_xb)))
% 125.16/18.73 | (c_in @
% 125.16/18.73 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 ('#_fresh_sk1' @ v_xb) @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb)))),
% 125.16/18.73 inference('demod', [status(thm)], [zip_derived_cl652, zip_derived_cl13])).
% 125.16/18.73 thf(zip_derived_cl4, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 ((c_Comb_Ocomb_OK) != (c_Comb_Ocomb_Oop_A_D_D @ X0 @ X1))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_Ocomb_Odistinct__3__iff1_0])).
% 125.16/18.73 thf(zip_derived_cl662, plain,
% 125.16/18.73 (( (c_in @
% 125.16/18.73 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @
% 125.16/18.73 ('#_fresh_sk1' @ v_xb) @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb)))),
% 125.16/18.73 inference('simplify_reflect-', [status(thm)],
% 125.16/18.73 [zip_derived_cl661, zip_derived_cl4])).
% 125.16/18.73 thf(cls_Comb_OK1__parcontractD__dest_1, axiom,
% 125.16/18.73 (( ~( c_in @
% 125.16/18.73 ( c_Pair @
% 125.16/18.73 ( c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ V_x ) @ V_z @
% 125.16/18.73 tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 125.16/18.73 ( c_in @
% 125.16/18.73 ( c_Pair @
% 125.16/18.73 V_x @ ( v_sko__uTE @ V_x @ V_z ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 125.16/18.73 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ))).
% 125.16/18.73 thf(zip_derived_cl8, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 (~ (c_in @
% 125.16/18.73 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0) @ X1 @
% 125.16/18.73 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | (c_in @
% 125.16/18.73 (c_Pair @ X0 @ (v_sko__uTE @ X0 @ X1) @ tc_Comb_Ocomb @
% 125.16/18.73 tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_OK1__parcontractD__dest_1])).
% 125.16/18.73 thf(zip_derived_cl769, plain,
% 125.16/18.73 ((((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | (c_in @
% 125.16/18.73 (c_Pair @ v_x @ (v_sko__uTE @ v_x @ ('#_fresh_sk1' @ v_xb)) @
% 125.16/18.73 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 125.16/18.73 inference('sup-', [status(thm)], [zip_derived_cl662, zip_derived_cl8])).
% 125.16/18.73 thf(zip_derived_cl1, plain,
% 125.16/18.73 (![X0 : $i]:
% 125.16/18.73 (~ (c_in @ (c_Pair @ v_x @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ~ (c_in @ (c_Pair @ v_xb @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 125.16/18.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 125.16/18.73 thf(zip_derived_cl4529, plain,
% 125.16/18.73 ((((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ~ (c_in @
% 125.16/18.73 (c_Pair @ v_xb @ (v_sko__uTE @ v_x @ ('#_fresh_sk1' @ v_xb)) @
% 125.16/18.73 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 125.16/18.73 inference('sup-', [status(thm)], [zip_derived_cl769, zip_derived_cl1])).
% 125.16/18.73 thf(zip_derived_cl41300, plain,
% 125.16/18.73 ((((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))
% 125.16/18.73 | ((v_xb)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x) @ v_ya)))),
% 125.16/18.73 inference('clc', [status(thm)], [zip_derived_cl39588, zip_derived_cl4529])).
% 125.16/18.73 thf(zip_derived_cl10, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 (c_in @
% 125.16/18.73 (c_Pair @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0) @ X1) @
% 125.16/18.73 X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_Oparcontract_Ointros__2_0])).
% 125.16/18.73 thf(zip_derived_cl41445, plain,
% 125.16/18.73 (( (c_in @ (c_Pair @ v_xb @ v_x @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 125.16/18.73 | ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl41300, zip_derived_cl10])).
% 125.16/18.73 thf(zip_derived_cl17, plain,
% 125.16/18.73 (~ (c_in @ (c_Pair @ v_xb @ v_x @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 125.16/18.73 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 125.16/18.73 thf(zip_derived_cl47698, plain,
% 125.16/18.73 (((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_x)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ v_xb))),
% 125.16/18.73 inference('clc', [status(thm)], [zip_derived_cl41445, zip_derived_cl17])).
% 125.16/18.73 thf(zip_derived_cl1268, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 (((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @ X1 @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0))))
% 125.16/18.73 | ~ (c_in @ (c_Pair @ X1 @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl9])).
% 125.16/18.73 thf(zip_derived_cl10, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 (c_in @
% 125.16/18.73 (c_Pair @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0) @ X1) @
% 125.16/18.73 X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_Oparcontract_Ointros__2_0])).
% 125.16/18.73 thf(zip_derived_cl1464, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 ((c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0)
% 125.16/18.73 = (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @
% 125.16/18.73 (v_sko__uTE @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0) @ X1) @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0))))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl10])).
% 125.16/18.73 thf(zip_derived_cl15, plain,
% 125.16/18.73 (![X2 : $i, X3 : $i]:
% 125.16/18.73 (('#_fresh_sk2' @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)) = (X3))),
% 125.16/18.73 inference('inj_rec', [status(thm)], [zip_derived_cl6])).
% 125.16/18.73 thf(zip_derived_cl2309, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 (('#_fresh_sk2' @ (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0))
% 125.16/18.73 = (v_sko__uTE @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0) @ X1) @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0)))),
% 125.16/18.73 inference('sup+', [status(thm)], [zip_derived_cl1464, zip_derived_cl15])).
% 125.16/18.73 thf(zip_derived_cl15, plain,
% 125.16/18.73 (![X2 : $i, X3 : $i]:
% 125.16/18.73 (('#_fresh_sk2' @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X3)) = (X3))),
% 125.16/18.73 inference('inj_rec', [status(thm)], [zip_derived_cl6])).
% 125.16/18.73 thf(zip_derived_cl2403, plain,
% 125.16/18.73 (![X0 : $i, X1 : $i]:
% 125.16/18.73 ((X0)
% 125.16/18.73 = (v_sko__uTE @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0) @ X1) @
% 125.16/18.73 (c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OK @ X0)))),
% 125.16/18.73 inference('demod', [status(thm)], [zip_derived_cl2309, zip_derived_cl15])).
% 125.16/18.73 thf(zip_derived_cl47702, plain, (((v_xb) = (v_x))),
% 125.16/18.73 inference('demod', [status(thm)],
% 125.16/18.73 [zip_derived_cl1753, zip_derived_cl47698, zip_derived_cl2403])).
% 125.16/18.73 thf(zip_derived_cl9, plain,
% 125.16/18.73 (![X0 : $i]:
% 125.16/18.73 (c_in @ (c_Pair @ X0 @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 125.16/18.73 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 125.16/18.73 inference('cnf', [status(esa)], [cls_Comb_Oparcontract_Ointros__1_0])).
% 125.16/18.73 thf(zip_derived_cl49087, plain, ($false),
% 125.16/18.73 inference('demod', [status(thm)],
% 125.16/18.73 [zip_derived_cl17, zip_derived_cl47702, zip_derived_cl9])).
% 125.16/18.73
% 125.16/18.73 % SZS output end Refutation
% 125.16/18.73
% 125.16/18.73
% 125.16/18.73 % Terminating...
% 125.82/18.80 % Runner terminated.
% 125.82/18.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------