%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL110-2 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.J6vOnuqhPz true
% Computer : n020.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 04:30:27 PM UTC 2025
% Result : Unsatisfiable 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL110-2 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.J6vOnuqhPz true
% 0.13/0.35 % Computer : n020.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 10:56:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % Solved by fo/fo6_bce.sh.
% 0.56/0.76 % BCE start: 8
% 0.56/0.76 % BCE eliminated: 0
% 0.56/0.76 % PE start: 8
% 0.56/0.76 logic: neq
% 0.56/0.76 % PE eliminated: 0
% 0.56/0.76 % done 20 iterations in 0.017s
% 0.56/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.76 % SZS output start Refutation
% 0.56/0.76 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.56/0.76 thf(tc_Comb_Ocomb_type, type, tc_Comb_Ocomb: $i).
% 0.56/0.76 thf(v_z_type, type, v_z: $i).
% 0.56/0.76 thf(c_Comb_Oparcontract_type, type, c_Comb_Oparcontract: $i).
% 0.56/0.76 thf(v_xaa_type, type, v_xaa: $i > $i).
% 0.56/0.76 thf(v_w_type, type, v_w: $i).
% 0.56/0.76 thf(c_Comb_Ocomb_Oop_A_D_D_type, type, c_Comb_Ocomb_Oop_A_D_D: $i > $i > $i).
% 0.56/0.76 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 0.56/0.76 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 0.56/0.76 thf(v_wa_type, type, v_wa: $i).
% 0.56/0.76 thf(v_ya_type, type, v_ya: $i).
% 0.56/0.76 thf(v_x_type, type, v_x: $i).
% 0.56/0.76 thf(v_yb_type, type, v_yb: $i).
% 0.56/0.76 thf(v_xb_type, type, v_xb: $i > $i).
% 0.56/0.76 thf(cls_conjecture_8, conjecture,
% 0.56/0.76 (~( ( ~( c_in @
% 0.56/0.76 ( c_Pair @ v_z @ V_U @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 0.56/0.76 ( c_in @
% 0.56/0.76 ( c_Pair @ V_U @ ( v_xaa @ V_U ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ))).
% 0.56/0.76 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.76 (( ~( c_in @
% 0.56/0.76 ( c_Pair @ v_z @ V_U @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 0.56/0.76 ( c_in @
% 0.56/0.76 ( c_Pair @ V_U @ ( v_xaa @ V_U ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_8])).
% 0.56/0.76 thf(zip_derived_cl6, plain,
% 0.56/0.76 (![X0 : $i]:
% 0.56/0.76 (~ (c_in @ (c_Pair @ v_z @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | (c_in @
% 0.56/0.76 (c_Pair @ X0 @ (v_xaa @ X0) @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.76 thf(cls_conjecture_6, conjecture,
% 0.56/0.76 (~( ( ~( c_in @
% 0.56/0.76 ( c_Pair @ v_x @ V_U @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 0.56/0.76 ( c_in @
% 0.56/0.76 ( c_Pair @ V_U @ ( v_xb @ V_U ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ))).
% 0.56/0.76 thf(zf_stmt_1, negated_conjecture,
% 0.56/0.76 (( ~( c_in @
% 0.56/0.76 ( c_Pair @ v_x @ V_U @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 0.56/0.76 ( c_in @
% 0.56/0.76 ( c_Pair @ V_U @ ( v_xb @ V_U ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 0.56/0.76 thf(zip_derived_cl4, plain,
% 0.56/0.76 (![X0 : $i]:
% 0.56/0.76 (~ (c_in @ (c_Pair @ v_x @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | (c_in @
% 0.56/0.76 (c_Pair @ X0 @ (v_xb @ X0) @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.76 thf(cls_Comb_Oparcontract_Ointros__4_0, axiom,
% 0.56/0.76 (( ~( c_in @
% 0.56/0.76 ( c_Pair @ V_z @ V_w @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 0.56/0.76 ( ~( c_in @
% 0.56/0.76 ( c_Pair @ V_x @ V_y @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 0.56/0.76 ( c_in @
% 0.56/0.76 ( c_Pair @
% 0.56/0.76 ( c_Comb_Ocomb_Oop_A_D_D @ V_x @ V_z ) @
% 0.56/0.76 ( c_Comb_Ocomb_Oop_A_D_D @ V_y @ V_w ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ))).
% 0.56/0.76 thf(zip_derived_cl7, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.76 (~ (c_in @ (c_Pair @ X0 @ X1 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | ~ (c_in @ (c_Pair @ X2 @ X3 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | (c_in @
% 0.56/0.76 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X0) @
% 0.56/0.76 (c_Comb_Ocomb_Oop_A_D_D @ X3 @ X1) @ tc_Comb_Ocomb @
% 0.56/0.76 tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 0.56/0.76 inference('cnf', [status(esa)], [cls_Comb_Oparcontract_Ointros__4_0])).
% 0.56/0.76 thf(cls_conjecture_3, conjecture,
% 0.56/0.76 (~( c_in @
% 0.56/0.76 ( c_Pair @ v_z @ v_wa @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ))).
% 0.56/0.76 thf(zf_stmt_2, negated_conjecture,
% 0.56/0.76 (c_in @
% 0.56/0.76 ( c_Pair @ v_z @ v_wa @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.56/0.76 thf(zip_derived_cl1, plain,
% 0.56/0.76 ( (c_in @ (c_Pair @ v_z @ v_wa @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.76 thf(cls_conjecture_7, conjecture,
% 0.56/0.76 (~( ( ~( c_in @
% 0.56/0.76 ( c_Pair @ v_z @ V_U @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 0.56/0.76 ( c_in @
% 0.56/0.76 ( c_Pair @ v_w @ ( v_xaa @ V_U ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ))).
% 0.56/0.76 thf(zf_stmt_3, negated_conjecture,
% 0.56/0.76 (( ~( c_in @
% 0.56/0.76 ( c_Pair @ v_z @ V_U @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 0.56/0.76 ( c_in @
% 0.56/0.76 ( c_Pair @ v_w @ ( v_xaa @ V_U ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_7])).
% 0.56/0.76 thf(zip_derived_cl5, plain,
% 0.56/0.76 (![X0 : $i]:
% 0.56/0.76 (~ (c_in @ (c_Pair @ v_z @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | (c_in @
% 0.56/0.76 (c_Pair @ v_w @ (v_xaa @ X0) @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.76 thf(cls_conjecture_2, conjecture,
% 0.56/0.76 (~( c_in @
% 0.56/0.76 ( c_Pair @ v_x @ v_yb @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ))).
% 0.56/0.76 thf(zf_stmt_4, negated_conjecture,
% 0.56/0.76 (c_in @
% 0.56/0.76 ( c_Pair @ v_x @ v_yb @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.56/0.76 thf(zip_derived_cl0, plain,
% 0.56/0.76 ( (c_in @ (c_Pair @ v_x @ v_yb @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.76 thf(cls_conjecture_5, conjecture,
% 0.56/0.76 (~( ( ~( c_in @
% 0.56/0.76 ( c_Pair @ v_x @ V_U @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 0.56/0.76 ( c_in @
% 0.56/0.76 ( c_Pair @ v_ya @ ( v_xb @ V_U ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ))).
% 0.56/0.76 thf(zf_stmt_5, negated_conjecture,
% 0.56/0.76 (( ~( c_in @
% 0.56/0.76 ( c_Pair @ v_x @ V_U @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 0.56/0.76 ( c_in @
% 0.56/0.76 ( c_Pair @ v_ya @ ( v_xb @ V_U ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 0.56/0.76 thf(zip_derived_cl3, plain,
% 0.56/0.76 (![X0 : $i]:
% 0.56/0.76 (~ (c_in @ (c_Pair @ v_x @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | (c_in @
% 0.56/0.76 (c_Pair @ v_ya @ (v_xb @ X0) @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.76 thf(zip_derived_cl7, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.76 (~ (c_in @ (c_Pair @ X0 @ X1 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | ~ (c_in @ (c_Pair @ X2 @ X3 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | (c_in @
% 0.56/0.76 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ X2 @ X0) @
% 0.56/0.76 (c_Comb_Ocomb_Oop_A_D_D @ X3 @ X1) @ tc_Comb_Ocomb @
% 0.56/0.76 tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 0.56/0.76 inference('cnf', [status(esa)], [cls_Comb_Oparcontract_Ointros__4_0])).
% 0.56/0.76 thf(cls_conjecture_4, conjecture,
% 0.56/0.76 (~( ( ~( c_in @
% 0.56/0.76 ( c_Pair @
% 0.56/0.76 ( c_Comb_Ocomb_Oop_A_D_D @ v_ya @ v_w ) @ V_U @ tc_Comb_Ocomb @
% 0.56/0.76 tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 0.56/0.76 ( ~( c_in @
% 0.56/0.76 ( c_Pair @
% 0.56/0.76 ( c_Comb_Ocomb_Oop_A_D_D @ v_yb @ v_wa ) @ V_U @
% 0.56/0.76 tc_Comb_Ocomb @ tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) ))).
% 0.56/0.76 thf(zf_stmt_6, negated_conjecture,
% 0.56/0.76 (( ~( c_in @
% 0.56/0.76 ( c_Pair @
% 0.56/0.76 ( c_Comb_Ocomb_Oop_A_D_D @ v_ya @ v_w ) @ V_U @ tc_Comb_Ocomb @
% 0.56/0.76 tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ) |
% 0.56/0.76 ( ~( c_in @
% 0.56/0.76 ( c_Pair @
% 0.56/0.76 ( c_Comb_Ocomb_Oop_A_D_D @ v_yb @ v_wa ) @ V_U @ tc_Comb_Ocomb @
% 0.56/0.76 tc_Comb_Ocomb ) @
% 0.56/0.76 c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.56/0.76 thf(zip_derived_cl2, plain,
% 0.56/0.76 (![X0 : $i]:
% 0.56/0.76 (~ (c_in @
% 0.56/0.76 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ v_ya @ v_w) @ X0 @
% 0.56/0.76 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | ~ (c_in @
% 0.56/0.76 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ v_yb @ v_wa) @ X0 @
% 0.56/0.76 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.56/0.76 thf(zip_derived_cl10, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 (~ (c_in @ (c_Pair @ v_ya @ X1 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | ~ (c_in @ (c_Pair @ v_w @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | ~ (c_in @
% 0.56/0.76 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ v_yb @ v_wa) @
% 0.56/0.76 (c_Comb_Ocomb_Oop_A_D_D @ X1 @ X0) @ tc_Comb_Ocomb @
% 0.56/0.76 tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 0.56/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.56/0.76 thf(zip_derived_cl13, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 (~ (c_in @ (c_Pair @ v_x @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | ~ (c_in @ (c_Pair @ v_w @ X1 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | ~ (c_in @
% 0.56/0.76 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ v_yb @ v_wa) @
% 0.56/0.76 (c_Comb_Ocomb_Oop_A_D_D @ (v_xb @ X0) @ X1) @ tc_Comb_Ocomb @
% 0.56/0.76 tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 0.56/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl10])).
% 0.56/0.76 thf(zip_derived_cl16, plain,
% 0.56/0.76 (![X0 : $i]:
% 0.56/0.76 (~ (c_in @ (c_Pair @ v_w @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | ~ (c_in @
% 0.56/0.76 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ v_yb @ v_wa) @
% 0.56/0.76 (c_Comb_Ocomb_Oop_A_D_D @ (v_xb @ v_yb) @ X0) @
% 0.56/0.76 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 0.56/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 0.56/0.76 thf(zip_derived_cl19, plain,
% 0.56/0.76 (![X0 : $i]:
% 0.56/0.76 (~ (c_in @ (c_Pair @ v_z @ X0 @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | ~ (c_in @
% 0.56/0.76 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ v_yb @ v_wa) @
% 0.56/0.76 (c_Comb_Ocomb_Oop_A_D_D @ (v_xb @ v_yb) @ (v_xaa @ X0)) @
% 0.56/0.76 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 0.56/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl16])).
% 0.56/0.76 thf(zip_derived_cl22, plain,
% 0.56/0.76 (~ (c_in @
% 0.56/0.76 (c_Pair @ (c_Comb_Ocomb_Oop_A_D_D @ v_yb @ v_wa) @
% 0.56/0.76 (c_Comb_Ocomb_Oop_A_D_D @ (v_xb @ v_yb) @ (v_xaa @ v_wa)) @
% 0.56/0.76 tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 0.56/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl19])).
% 0.56/0.76 thf(zip_derived_cl23, plain,
% 0.56/0.76 ((~ (c_in @
% 0.56/0.76 (c_Pair @ v_yb @ (v_xb @ v_yb) @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | ~ (c_in @
% 0.56/0.76 (c_Pair @ v_wa @ (v_xaa @ v_wa) @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 0.56/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl22])).
% 0.56/0.76 thf(zip_derived_cl24, plain,
% 0.56/0.76 ((~ (c_in @ (c_Pair @ v_x @ v_yb @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))
% 0.56/0.76 | ~ (c_in @
% 0.56/0.76 (c_Pair @ v_wa @ (v_xaa @ v_wa) @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb)))),
% 0.56/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl23])).
% 0.56/0.76 thf(zip_derived_cl0, plain,
% 0.56/0.76 ( (c_in @ (c_Pair @ v_x @ v_yb @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.76 thf(zip_derived_cl25, plain,
% 0.56/0.76 (~ (c_in @
% 0.56/0.76 (c_Pair @ v_wa @ (v_xaa @ v_wa) @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 0.56/0.76 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 0.56/0.76 thf(zip_derived_cl26, plain,
% 0.56/0.76 (~ (c_in @ (c_Pair @ v_z @ v_wa @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 0.56/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl25])).
% 0.56/0.76 thf(zip_derived_cl1, plain,
% 0.56/0.76 ( (c_in @ (c_Pair @ v_z @ v_wa @ tc_Comb_Ocomb @ tc_Comb_Ocomb) @
% 0.56/0.76 c_Comb_Oparcontract @ (tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.76 thf(zip_derived_cl27, plain, ($false),
% 0.56/0.76 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 0.56/0.76
% 0.56/0.76 % SZS output end Refutation
% 0.56/0.76
% 0.56/0.76
% 0.56/0.76 % Terminating...
% 1.65/0.87 % Runner terminated.
% 1.68/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------