TSTP Solution File: SCT023-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT023-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Sb4HmfAzTc true
% Computer : n019.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 Aug 31 14:26:58 EDT 2023
% Result : Unsatisfiable 1.56s 0.86s
% Output : Refutation 1.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SCT023-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Sb4HmfAzTc true
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 15:00:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.56/0.86 % Solved by fo/fo4.sh.
% 1.56/0.86 % done 39 iterations in 0.058s
% 1.56/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.56/0.86 % SZS output start Refutation
% 1.56/0.86 thf(v_F_type, type, v_F: $i > $i).
% 1.56/0.86 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 1.56/0.86 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 1.56/0.86 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 1.56/0.86 thf(v_i_type, type, v_i: $i).
% 1.56/0.86 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 1.56/0.86 $i).
% 1.56/0.86 thf(v_a_type, type, v_a: $i).
% 1.56/0.86 thf(v_b_type, type, v_b: $i).
% 1.56/0.86 thf(v_P_type, type, v_P: $i).
% 1.56/0.86 thf(c_Relation_Otrans_type, type, c_Relation_Otrans: $i > $i > $o).
% 1.56/0.86 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 1.56/0.86 thf(cls_conjecture_2, conjecture,
% 1.56/0.86 (~( c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( v_F @ v_P ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ))).
% 1.56/0.86 thf(zf_stmt_0, negated_conjecture,
% 1.56/0.86 (c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( v_F @ v_P ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt )),
% 1.56/0.86 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 1.56/0.86 thf(zip_derived_cl25, plain,
% 1.56/0.86 ( (c_in @
% 1.56/0.86 (c_Pair @ v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (v_F @ v_P) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt))),
% 1.56/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.56/0.86 thf(cls_conjecture_6, conjecture,
% 1.56/0.86 (~( ( ( V_xa ) = ( V_y ) ) |
% 1.56/0.86 ( c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 V_xa @ V_y @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( hAPP @ v_P @ V_x ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.56/0.86 ( c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 V_y @ V_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( hAPP @ v_P @ V_x ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ))).
% 1.56/0.86 thf(zf_stmt_1, negated_conjecture,
% 1.56/0.86 (( ( V_xa ) = ( V_y ) ) |
% 1.56/0.86 ( c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 V_xa @ V_y @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( hAPP @ v_P @ V_x ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.56/0.86 ( c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 V_y @ V_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( hAPP @ v_P @ V_x ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )),
% 1.56/0.86 inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 1.56/0.86 thf(zip_derived_cl21, plain,
% 1.56/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.56/0.86 (((X1) = (X0))
% 1.56/0.86 | (c_in @
% 1.56/0.86 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (hAPP @ v_P @ X2) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt))
% 1.56/0.86 | (c_in @
% 1.56/0.86 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (hAPP @ v_P @ X2) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.56/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.56/0.86 thf(cls_conjecture_5, conjecture,
% 1.56/0.86 (c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( hAPP @ v_P @ v_i ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ))).
% 1.56/0.86 thf(zf_stmt_2, negated_conjecture,
% 1.56/0.86 (~( c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( hAPP @ v_P @ v_i ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )),
% 1.56/0.86 inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 1.56/0.86 thf(zip_derived_cl22, plain,
% 1.56/0.86 (~ (c_in @
% 1.56/0.86 (c_Pair @ v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (hAPP @ v_P @ v_i) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt))),
% 1.56/0.86 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.56/0.86 thf(zip_derived_cl69, plain,
% 1.56/0.86 (( (c_in @
% 1.56/0.86 (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (hAPP @ v_P @ v_i) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt))
% 1.56/0.86 | ((v_a) = (v_b)))),
% 1.56/0.86 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl22])).
% 1.56/0.86 thf(cls_conjecture_8, conjecture,
% 1.56/0.86 (~( ( ( V_a ) = ( V_b ) ) |
% 1.56/0.86 ( ~( c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( hAPP @ v_P @ v_i ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.56/0.86 ( c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( v_F @ v_P ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ))).
% 1.56/0.86 thf(zf_stmt_3, negated_conjecture,
% 1.56/0.86 (( ( V_a ) = ( V_b ) ) |
% 1.56/0.86 ( ~( c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( hAPP @ v_P @ v_i ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.56/0.86 ( c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( v_F @ v_P ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )),
% 1.56/0.86 inference('cnf.neg', [status(esa)], [cls_conjecture_8])).
% 1.56/0.86 thf(zip_derived_cl19, plain,
% 1.56/0.86 (![X0 : $i, X1 : $i]:
% 1.56/0.86 (((X1) = (X0))
% 1.56/0.86 | ~ (c_in @
% 1.56/0.86 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (hAPP @ v_P @ v_i) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt))
% 1.56/0.86 | (c_in @
% 1.56/0.86 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (v_F @ v_P) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.56/0.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.56/0.86 thf(zip_derived_cl81, plain,
% 1.56/0.86 ((((v_a) = (v_b))
% 1.56/0.86 | (c_in @
% 1.56/0.86 (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (v_F @ v_P) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt))
% 1.56/0.86 | ((v_b) = (v_a)))),
% 1.56/0.86 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl19])).
% 1.56/0.86 thf(zip_derived_cl83, plain,
% 1.56/0.86 (( (c_in @
% 1.56/0.86 (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (v_F @ v_P) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt))
% 1.56/0.86 | ((v_a) = (v_b)))),
% 1.56/0.86 inference('simplify', [status(thm)], [zip_derived_cl81])).
% 1.56/0.86 thf(zip_derived_cl25, plain,
% 1.56/0.86 ( (c_in @
% 1.56/0.86 (c_Pair @ v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (v_F @ v_P) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt))),
% 1.56/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.56/0.86 thf(cls_trans__def_0, axiom,
% 1.56/0.86 (( c_in @
% 1.56/0.86 ( c_Pair @ V_x @ V_z @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) |
% 1.56/0.86 ( ~( c_in @
% 1.56/0.86 ( c_Pair @ V_y @ V_z @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) |
% 1.56/0.86 ( ~( c_in @
% 1.56/0.86 ( c_Pair @ V_x @ V_y @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) |
% 1.56/0.86 ( ~( c_Relation_Otrans @ V_r @ T_a ) ))).
% 1.56/0.86 thf(zip_derived_cl17, plain,
% 1.56/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.56/0.86 ( (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ X3 @ (tc_prod @ X2 @ X2))
% 1.56/0.86 | ~ (c_in @ (c_Pair @ X4 @ X1 @ X2 @ X2) @ X3 @ (tc_prod @ X2 @ X2))
% 1.56/0.86 | ~ (c_in @ (c_Pair @ X0 @ X4 @ X2 @ X2) @ X3 @ (tc_prod @ X2 @ X2))
% 1.56/0.86 | ~ (c_Relation_Otrans @ X3 @ X2))),
% 1.56/0.86 inference('cnf', [status(esa)], [cls_trans__def_0])).
% 1.56/0.86 thf(zip_derived_cl41, plain,
% 1.56/0.86 (![X0 : $i]:
% 1.56/0.86 (~ (c_Relation_Otrans @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt)
% 1.56/0.86 | ~ (c_in @
% 1.56/0.86 (c_Pair @ X0 @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (v_F @ v_P) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt))
% 1.56/0.86 | (c_in @
% 1.56/0.86 (c_Pair @ X0 @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (v_F @ v_P) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.56/0.86 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl17])).
% 1.56/0.86 thf(cls_conjecture_3, conjecture,
% 1.56/0.86 (~( c_Relation_Otrans @ ( v_F @ v_P ) @ tc_Arrow__Order__Mirabelle_Oalt ))).
% 1.56/0.86 thf(zf_stmt_4, negated_conjecture,
% 1.56/0.86 (c_Relation_Otrans @ ( v_F @ v_P ) @ tc_Arrow__Order__Mirabelle_Oalt),
% 1.56/0.86 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 1.56/0.86 thf(zip_derived_cl24, plain,
% 1.56/0.86 ( (c_Relation_Otrans @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt)),
% 1.56/0.86 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.56/0.86 thf(zip_derived_cl46, plain,
% 1.56/0.86 (![X0 : $i]:
% 1.56/0.86 (~ (c_in @
% 1.56/0.86 (c_Pair @ X0 @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (v_F @ v_P) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt))
% 1.56/0.86 | (c_in @
% 1.56/0.86 (c_Pair @ X0 @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (v_F @ v_P) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.56/0.86 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl24])).
% 1.56/0.86 thf(zip_derived_cl86, plain,
% 1.56/0.86 ((((v_a) = (v_b))
% 1.56/0.86 | (c_in @
% 1.56/0.86 (c_Pair @ v_b @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (v_F @ v_P) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.56/0.86 inference('sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl46])).
% 1.56/0.86 thf(cls_conjecture_4, conjecture,
% 1.56/0.86 (c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 V_xa @ V_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( v_F @ v_P ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ))).
% 1.56/0.86 thf(zf_stmt_5, negated_conjecture,
% 1.56/0.86 (~( c_in @
% 1.56/0.86 ( c_Pair @
% 1.56/0.86 V_xa @ V_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.56/0.86 ( v_F @ v_P ) @
% 1.56/0.86 ( tc_prod @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )),
% 1.56/0.86 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 1.56/0.86 thf(zip_derived_cl23, plain,
% 1.56/0.86 (![X0 : $i]:
% 1.56/0.86 ~ (c_in @
% 1.56/0.86 (c_Pair @ X0 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (v_F @ v_P) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt))),
% 1.56/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.56/0.86 thf(zip_derived_cl89, plain, (((v_a) = (v_b))),
% 1.56/0.86 inference('clc', [status(thm)], [zip_derived_cl86, zip_derived_cl23])).
% 1.56/0.86 thf(zip_derived_cl23, plain,
% 1.56/0.86 (![X0 : $i]:
% 1.56/0.86 ~ (c_in @
% 1.56/0.86 (c_Pair @ X0 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.56/0.86 (v_F @ v_P) @
% 1.56/0.86 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.56/0.86 tc_Arrow__Order__Mirabelle_Oalt))),
% 1.56/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.56/0.86 thf(zip_derived_cl91, plain, ($false),
% 1.56/0.86 inference('demod', [status(thm)],
% 1.56/0.86 [zip_derived_cl25, zip_derived_cl89, zip_derived_cl23])).
% 1.56/0.86
% 1.56/0.86 % SZS output end Refutation
% 1.56/0.86
% 1.56/0.86
% 1.56/0.86 % Terminating...
% 1.85/0.97 % Runner terminated.
% 1.85/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------