%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COL123-2 : 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.oEPB0MUVcw true
% Computer : n026.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 04:30:29 PM UTC 2025
% Result : Unsatisfiable 1.18s 0.72s
% Output : Refutation 1.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL123-2 : TPTP v9.2.0. Released v3.2.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oEPB0MUVcw true
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 10:54:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.19/0.55 % Total configuration time : 435
% 0.19/0.55 % Estimated wc time : 1092
% 0.19/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.98/0.64 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.98/0.64 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.98/0.65 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.98/0.66 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.98/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.98/0.67 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.18/0.72 % Solved by fo/fo3_bce.sh.
% 1.18/0.72 % BCE start: 9
% 1.18/0.72 % BCE eliminated: 0
% 1.18/0.72 % PE start: 9
% 1.18/0.72 logic: neq
% 1.18/0.72 % PE eliminated: 0
% 1.18/0.72 % done 63 iterations in 0.056s
% 1.18/0.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.18/0.72 % SZS output start Refutation
% 1.18/0.72 thf(v_xa_type, type, v_xa: $i > $i > $i > $i).
% 1.18/0.72 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 1.18/0.72 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 1.18/0.72 thf(c_Transitive__Closure_Ortrancl_type, type, c_Transitive__Closure_Ortrancl:
% 1.18/0.72 $i > $i > $i).
% 1.18/0.72 thf(v_xb_type, type, v_xb: $i).
% 1.18/0.72 thf(v_y_type, type, v_y: $i).
% 1.18/0.72 thf(v_xaa_type, type, v_xaa: $i > $i).
% 1.18/0.72 thf(t_a_type, type, t_a: $i).
% 1.18/0.72 thf(v_z_type, type, v_z: $i).
% 1.18/0.72 thf(v_x_type, type, v_x: $i).
% 1.18/0.72 thf(v_r_type, type, v_r: $i).
% 1.18/0.72 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 1.18/0.72 thf(cls_conjecture_1, conjecture,
% 1.18/0.72 (~( c_in @
% 1.18/0.72 ( c_Pair @ v_y @ v_z @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ))).
% 1.18/0.72 thf(zf_stmt_0, negated_conjecture,
% 1.18/0.72 (c_in @ ( c_Pair @ v_y @ v_z @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a )),
% 1.18/0.72 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 1.18/0.72 thf(zip_derived_cl2, plain,
% 1.18/0.72 ( (c_in @ (c_Pair @ v_y @ v_z @ t_a @ t_a) @ v_r @ (tc_prod @ t_a @ t_a))),
% 1.18/0.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.18/0.72 thf(cls_conjecture_6, conjecture,
% 1.18/0.72 (~( ( ~( c_in @
% 1.18/0.72 ( c_Pair @ V_U @ V_V @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( ~( c_in @
% 1.18/0.72 ( c_Pair @ V_U @ V_W @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( c_in @
% 1.18/0.72 ( c_Pair @ V_V @ ( v_xa @ V_U @ V_V @ V_W ) @ t_a @ t_a ) @ v_r @
% 1.18/0.72 ( tc_prod @ t_a @ t_a ) ) ))).
% 1.18/0.72 thf(zf_stmt_1, negated_conjecture,
% 1.18/0.72 (( ~( c_in @
% 1.18/0.72 ( c_Pair @ V_U @ V_V @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( ~( c_in @
% 1.18/0.72 ( c_Pair @ V_U @ V_W @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( c_in @
% 1.18/0.72 ( c_Pair @ V_V @ ( v_xa @ V_U @ V_V @ V_W ) @ t_a @ t_a ) @ v_r @
% 1.18/0.72 ( tc_prod @ t_a @ t_a ) )),
% 1.18/0.72 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 1.18/0.72 thf(zip_derived_cl7, plain,
% 1.18/0.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.18/0.72 (~ (c_in @ (c_Pair @ X0 @ X1 @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a))
% 1.18/0.72 | ~ (c_in @ (c_Pair @ X0 @ X2 @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a))
% 1.18/0.72 | (c_in @ (c_Pair @ X1 @ (v_xa @ X0 @ X1 @ X2) @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a)))),
% 1.18/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.18/0.72 thf(zip_derived_cl16, plain,
% 1.18/0.72 (![X0 : $i]:
% 1.18/0.72 ( (c_in @ (c_Pair @ v_z @ (v_xa @ v_y @ v_z @ X0) @ t_a @ t_a) @
% 1.18/0.72 v_r @ (tc_prod @ t_a @ t_a))
% 1.18/0.72 | ~ (c_in @ (c_Pair @ v_y @ X0 @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a)))),
% 1.18/0.72 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 1.18/0.72 thf(cls_conjecture_2, conjecture,
% 1.18/0.72 (~( c_in @
% 1.18/0.72 ( c_Pair @ v_x @ v_xb @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ))).
% 1.18/0.72 thf(zf_stmt_2, negated_conjecture,
% 1.18/0.72 (c_in @ ( c_Pair @ v_x @ v_xb @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a )),
% 1.18/0.72 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 1.18/0.72 thf(zip_derived_cl3, plain,
% 1.18/0.72 ( (c_in @ (c_Pair @ v_x @ v_xb @ t_a @ t_a) @ v_r @ (tc_prod @ t_a @ t_a))),
% 1.18/0.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.18/0.72 thf(cls_conjecture_3, conjecture,
% 1.18/0.72 (~( ( ~( c_in @
% 1.18/0.72 ( c_Pair @ v_x @ V_U @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( c_in @
% 1.18/0.72 ( c_Pair @ V_U @ ( v_xaa @ V_U ) @ t_a @ t_a ) @
% 1.18/0.72 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 1.18/0.72 ( tc_prod @ t_a @ t_a ) ) ))).
% 1.18/0.72 thf(zf_stmt_3, negated_conjecture,
% 1.18/0.72 (( ~( c_in @
% 1.18/0.72 ( c_Pair @ v_x @ V_U @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( c_in @
% 1.18/0.72 ( c_Pair @ V_U @ ( v_xaa @ V_U ) @ t_a @ t_a ) @
% 1.18/0.72 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @ ( tc_prod @ t_a @ t_a ) )),
% 1.18/0.72 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 1.18/0.72 thf(zip_derived_cl4, plain,
% 1.18/0.72 (![X0 : $i]:
% 1.18/0.72 (~ (c_in @ (c_Pair @ v_x @ X0 @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a))
% 1.18/0.72 | (c_in @ (c_Pair @ X0 @ (v_xaa @ X0) @ t_a @ t_a) @
% 1.18/0.72 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 1.18/0.72 (tc_prod @ t_a @ t_a)))),
% 1.18/0.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.18/0.72 thf(zip_derived_cl13, plain,
% 1.18/0.72 ( (c_in @ (c_Pair @ v_xb @ (v_xaa @ v_xb) @ t_a @ t_a) @
% 1.18/0.72 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 1.18/0.72 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 1.18/0.72 thf(cls_Transitive__Closure_Or__into__rtrancl_0, axiom,
% 1.18/0.72 (( ~( c_in @ V_p @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) |
% 1.18/0.72 ( c_in @
% 1.18/0.72 V_p @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 1.18/0.72 ( tc_prod @ T_a @ T_a ) ))).
% 1.18/0.72 thf(zip_derived_cl0, plain,
% 1.18/0.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.18/0.72 (~ (c_in @ X0 @ X1 @ (tc_prod @ X2 @ X2))
% 1.18/0.72 | (c_in @ X0 @ (c_Transitive__Closure_Ortrancl @ X1 @ X2) @
% 1.18/0.72 (tc_prod @ X2 @ X2)))),
% 1.18/0.72 inference('cnf', [status(esa)],
% 1.18/0.72 [cls_Transitive__Closure_Or__into__rtrancl_0])).
% 1.18/0.72 thf(cls_Transitive__Closure_Ortrancl__trans_0, axiom,
% 1.18/0.72 (( ~( c_in @
% 1.18/0.72 ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @
% 1.18/0.72 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 1.18/0.72 ( tc_prod @ T_a @ T_a ) ) ) |
% 1.18/0.72 ( ~( c_in @
% 1.18/0.72 ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @
% 1.18/0.72 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @
% 1.18/0.72 ( tc_prod @ T_a @ T_a ) ) ) |
% 1.18/0.72 ( c_in @
% 1.18/0.72 ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @
% 1.18/0.72 ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ))).
% 1.18/0.72 thf(zip_derived_cl1, plain,
% 1.18/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.18/0.72 (~ (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @
% 1.18/0.72 (c_Transitive__Closure_Ortrancl @ X3 @ X2) @ (tc_prod @ X2 @ X2))
% 1.18/0.72 | ~ (c_in @ (c_Pair @ X4 @ X0 @ X2 @ X2) @
% 1.18/0.72 (c_Transitive__Closure_Ortrancl @ X3 @ X2) @ (tc_prod @ X2 @ X2))
% 1.18/0.72 | (c_in @ (c_Pair @ X4 @ X1 @ X2 @ X2) @
% 1.18/0.72 (c_Transitive__Closure_Ortrancl @ X3 @ X2) @ (tc_prod @ X2 @ X2)))),
% 1.18/0.72 inference('cnf', [status(esa)],
% 1.18/0.72 [cls_Transitive__Closure_Ortrancl__trans_0])).
% 1.18/0.72 thf(zip_derived_cl24, plain,
% 1.18/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.18/0.72 (~ (c_in @ (c_Pair @ X3 @ X2 @ X0 @ X0) @ X1 @ (tc_prod @ X0 @ X0))
% 1.18/0.72 | (c_in @ (c_Pair @ X4 @ X2 @ X0 @ X0) @
% 1.18/0.72 (c_Transitive__Closure_Ortrancl @ X1 @ X0) @ (tc_prod @ X0 @ X0))
% 1.18/0.72 | ~ (c_in @ (c_Pair @ X4 @ X3 @ X0 @ X0) @
% 1.18/0.72 (c_Transitive__Closure_Ortrancl @ X1 @ X0) @ (tc_prod @ X0 @ X0)))),
% 1.18/0.72 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.18/0.72 thf(zip_derived_cl121, plain,
% 1.18/0.72 (![X0 : $i]:
% 1.18/0.72 ( (c_in @ (c_Pair @ v_xb @ X0 @ t_a @ t_a) @
% 1.18/0.72 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 1.18/0.72 (tc_prod @ t_a @ t_a))
% 1.18/0.72 | ~ (c_in @ (c_Pair @ (v_xaa @ v_xb) @ X0 @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a)))),
% 1.18/0.72 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl24])).
% 1.18/0.72 thf(cls_conjecture_4, conjecture,
% 1.18/0.72 (~( ( ~( c_in @
% 1.18/0.72 ( c_Pair @ v_x @ V_U @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( c_in @
% 1.18/0.72 ( c_Pair @ v_y @ ( v_xaa @ V_U ) @ t_a @ t_a ) @ v_r @
% 1.18/0.72 ( tc_prod @ t_a @ t_a ) ) ))).
% 1.18/0.72 thf(zf_stmt_4, negated_conjecture,
% 1.18/0.72 (( ~( c_in @
% 1.18/0.72 ( c_Pair @ v_x @ V_U @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( c_in @
% 1.18/0.72 ( c_Pair @ v_y @ ( v_xaa @ V_U ) @ t_a @ t_a ) @ v_r @
% 1.18/0.72 ( tc_prod @ t_a @ t_a ) )),
% 1.18/0.72 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 1.18/0.72 thf(zip_derived_cl5, plain,
% 1.18/0.72 (![X0 : $i]:
% 1.18/0.72 (~ (c_in @ (c_Pair @ v_x @ X0 @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a))
% 1.18/0.72 | (c_in @ (c_Pair @ v_y @ (v_xaa @ X0) @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a)))),
% 1.18/0.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.18/0.72 thf(zip_derived_cl3, plain,
% 1.18/0.72 ( (c_in @ (c_Pair @ v_x @ v_xb @ t_a @ t_a) @ v_r @ (tc_prod @ t_a @ t_a))),
% 1.18/0.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.18/0.72 thf(zip_derived_cl9, plain,
% 1.18/0.72 ( (c_in @ (c_Pair @ v_y @ (v_xaa @ v_xb) @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a))),
% 1.18/0.72 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 1.18/0.72 thf(zip_derived_cl2, plain,
% 1.18/0.72 ( (c_in @ (c_Pair @ v_y @ v_z @ t_a @ t_a) @ v_r @ (tc_prod @ t_a @ t_a))),
% 1.18/0.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.18/0.72 thf(cls_conjecture_7, conjecture,
% 1.18/0.72 (~( ( ~( c_in @
% 1.18/0.72 ( c_Pair @ V_U @ V_V @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( ~( c_in @
% 1.18/0.72 ( c_Pair @ V_U @ V_W @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( c_in @
% 1.18/0.72 ( c_Pair @ V_W @ ( v_xa @ V_U @ V_V @ V_W ) @ t_a @ t_a ) @ v_r @
% 1.18/0.72 ( tc_prod @ t_a @ t_a ) ) ))).
% 1.18/0.72 thf(zf_stmt_5, negated_conjecture,
% 1.18/0.72 (( ~( c_in @
% 1.18/0.72 ( c_Pair @ V_U @ V_V @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( ~( c_in @
% 1.18/0.72 ( c_Pair @ V_U @ V_W @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( c_in @
% 1.18/0.72 ( c_Pair @ V_W @ ( v_xa @ V_U @ V_V @ V_W ) @ t_a @ t_a ) @ v_r @
% 1.18/0.72 ( tc_prod @ t_a @ t_a ) )),
% 1.18/0.72 inference('cnf.neg', [status(esa)], [cls_conjecture_7])).
% 1.18/0.72 thf(zip_derived_cl8, plain,
% 1.18/0.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.18/0.72 (~ (c_in @ (c_Pair @ X0 @ X1 @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a))
% 1.18/0.72 | ~ (c_in @ (c_Pair @ X0 @ X2 @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a))
% 1.18/0.72 | (c_in @ (c_Pair @ X2 @ (v_xa @ X0 @ X1 @ X2) @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a)))),
% 1.18/0.72 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.18/0.72 thf(zip_derived_cl50, plain,
% 1.18/0.72 (![X0 : $i]:
% 1.18/0.72 ( (c_in @ (c_Pair @ X0 @ (v_xa @ v_y @ v_z @ X0) @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a))
% 1.18/0.72 | ~ (c_in @ (c_Pair @ v_y @ X0 @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a)))),
% 1.18/0.72 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl8])).
% 1.18/0.72 thf(zip_derived_cl83, plain,
% 1.18/0.72 ( (c_in @
% 1.18/0.72 (c_Pair @ (v_xaa @ v_xb) @ (v_xa @ v_y @ v_z @ (v_xaa @ v_xb)) @
% 1.18/0.72 t_a @ t_a) @
% 1.18/0.72 v_r @ (tc_prod @ t_a @ t_a))),
% 1.18/0.72 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl50])).
% 1.18/0.72 thf(zip_derived_cl125, plain,
% 1.18/0.72 ( (c_in @
% 1.18/0.72 (c_Pair @ v_xb @ (v_xa @ v_y @ v_z @ (v_xaa @ v_xb)) @ t_a @ t_a) @
% 1.18/0.72 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @ (tc_prod @ t_a @ t_a))),
% 1.18/0.72 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl83])).
% 1.18/0.72 thf(cls_conjecture_5, conjecture,
% 1.18/0.72 (~( ( ~( c_in @
% 1.18/0.72 ( c_Pair @ v_xb @ V_U @ t_a @ t_a ) @
% 1.18/0.72 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 1.18/0.72 ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( ~( c_in @
% 1.18/0.72 ( c_Pair @ v_z @ V_U @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) ))).
% 1.18/0.72 thf(zf_stmt_6, negated_conjecture,
% 1.18/0.72 (( ~( c_in @
% 1.18/0.72 ( c_Pair @ v_xb @ V_U @ t_a @ t_a ) @
% 1.18/0.72 ( c_Transitive__Closure_Ortrancl @ v_r @ t_a ) @
% 1.18/0.72 ( tc_prod @ t_a @ t_a ) ) ) |
% 1.18/0.72 ( ~( c_in @
% 1.18/0.72 ( c_Pair @ v_z @ V_U @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) )),
% 1.18/0.72 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 1.18/0.72 thf(zip_derived_cl6, plain,
% 1.18/0.72 (![X0 : $i]:
% 1.18/0.72 (~ (c_in @ (c_Pair @ v_xb @ X0 @ t_a @ t_a) @
% 1.18/0.72 (c_Transitive__Closure_Ortrancl @ v_r @ t_a) @
% 1.18/0.72 (tc_prod @ t_a @ t_a))
% 1.18/0.72 | ~ (c_in @ (c_Pair @ v_z @ X0 @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a)))),
% 1.18/0.72 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.18/0.72 thf(zip_derived_cl132, plain,
% 1.18/0.72 (~ (c_in @
% 1.18/0.72 (c_Pair @ v_z @ (v_xa @ v_y @ v_z @ (v_xaa @ v_xb)) @ t_a @ t_a) @
% 1.18/0.72 v_r @ (tc_prod @ t_a @ t_a))),
% 1.18/0.72 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl6])).
% 1.18/0.72 thf(zip_derived_cl136, plain,
% 1.18/0.72 (~ (c_in @ (c_Pair @ v_y @ (v_xaa @ v_xb) @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a))),
% 1.18/0.72 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl132])).
% 1.18/0.72 thf(zip_derived_cl9, plain,
% 1.18/0.72 ( (c_in @ (c_Pair @ v_y @ (v_xaa @ v_xb) @ t_a @ t_a) @ v_r @
% 1.18/0.72 (tc_prod @ t_a @ t_a))),
% 1.18/0.72 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 1.18/0.72 thf(zip_derived_cl137, plain, ($false),
% 1.18/0.72 inference('demod', [status(thm)], [zip_derived_cl136, zip_derived_cl9])).
% 1.18/0.72
% 1.18/0.72 % SZS output end Refutation
% 1.18/0.72
% 1.18/0.72
% 1.18/0.72 % Terminating...
% 1.52/0.77 % Runner terminated.
% 1.52/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------