%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT004-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Omgrz5wl3U true
% Computer : n012.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 04:50:41 PM UTC 2025
% Result : Unsatisfiable 1.35s 0.81s
% Output : Refutation 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SCT004-1 : TPTP v9.2.0. Released v4.1.0.
% 0.00/0.08 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Omgrz5wl3U true
% 0.07/0.26 % Computer : n012.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Wed Oct 1 15:13:53 EDT 2025
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Running portfolio for 300 s
% 0.07/0.26 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.26 % Number of cores: 8
% 0.07/0.26 % Python version: Python 3.6.8
% 0.07/0.26 % Running in FO mode
% 0.10/0.43 % Total configuration time : 435
% 0.10/0.43 % Estimated wc time : 1092
% 0.10/0.43 % Estimated cpu time (7 cpus) : 156.0
% 0.10/0.50 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.06/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.06/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.06/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.06/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.06/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.06/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.35/0.81 % Solved by fo/fo1_av.sh.
% 1.35/0.81 % done 68 iterations in 0.216s
% 1.35/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.81 % SZS output start Refutation
% 1.35/0.81 thf(v_xa_type, type, v_xa: $i).
% 1.35/0.81 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 1.35/0.81 thf(hBOOL_type, type, hBOOL: $i > $o).
% 1.35/0.81 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 1.35/0.81 $i).
% 1.35/0.81 thf(c_in_type, type, c_in: $i > $i > $i > $i).
% 1.35/0.81 thf(v_x_type, type, v_x: $i).
% 1.35/0.81 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 1.35/0.81 thf(v_L_type, type, v_L: $i).
% 1.35/0.81 thf(c_Relation_Otrans_type, type, c_Relation_Otrans: $i > $i > $o).
% 1.35/0.81 thf(cls_conjecture_9, conjecture,
% 1.35/0.81 (~( ( ( v_x ) != ( v_xa ) ) |
% 1.35/0.81 ( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.35/0.81 ( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) ))).
% 1.35/0.81 thf(zf_stmt_0, negated_conjecture,
% 1.35/0.81 (( ( v_x ) != ( v_xa ) ) |
% 1.35/0.81 ( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.35/0.81 ( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) )),
% 1.35/0.81 inference('cnf.neg', [status(esa)], [cls_conjecture_9])).
% 1.35/0.81 thf(zip_derived_cl666, plain,
% 1.35/0.81 ((((v_x) != (v_xa))
% 1.35/0.81 | ~ (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | ~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.35/0.81 thf(zip_derived_cl714, plain,
% 1.35/0.81 ((~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))
% 1.35/0.81 <= (~
% 1.35/0.81 ( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))))),
% 1.35/0.81 inference('split', [status(esa)], [zip_derived_cl666])).
% 1.35/0.81 thf(cls_conjecture_0, conjecture,
% 1.35/0.81 (~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ))).
% 1.35/0.81 thf(zf_stmt_1, negated_conjecture,
% 1.35/0.81 (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt),
% 1.35/0.81 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 1.35/0.81 thf(zip_derived_cl657, plain,
% 1.35/0.81 ( (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)),
% 1.35/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/0.81 thf(cls_conjecture_8, conjecture,
% 1.35/0.81 (~( ( ( v_x ) != ( v_xa ) ) |
% 1.35/0.81 ( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 1.35/0.81 thf(zf_stmt_2, negated_conjecture,
% 1.35/0.81 (( ( v_x ) != ( v_xa ) ) |
% 1.35/0.81 ( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 1.35/0.81 inference('cnf.neg', [status(esa)], [cls_conjecture_8])).
% 1.35/0.81 thf(zip_derived_cl665, plain,
% 1.35/0.81 ((((v_x) != (v_xa))
% 1.35/0.81 | ~ (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.35/0.81 thf(zip_derived_cl712, plain,
% 1.35/0.81 ((~ (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt))
% 1.35/0.81 <= (~ ( (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.35/0.81 inference('split', [status(esa)], [zip_derived_cl665])).
% 1.35/0.81 thf('0', plain,
% 1.35/0.81 (( (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt))),
% 1.35/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl657, zip_derived_cl712])).
% 1.35/0.81 thf(zip_derived_cl711, plain,
% 1.35/0.81 (( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))
% 1.35/0.81 <= (( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))))),
% 1.35/0.81 inference('split', [status(esa)], [zip_derived_cl665])).
% 1.35/0.81 thf(cls_conjecture_1, conjecture,
% 1.35/0.81 (~( ( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) |
% 1.35/0.81 ( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_xe @ V_xe @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) ))).
% 1.35/0.81 thf(zf_stmt_3, negated_conjecture,
% 1.35/0.81 (( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) |
% 1.35/0.81 ( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_xe @ V_xe @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) )),
% 1.35/0.81 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 1.35/0.81 thf(zip_derived_cl658, plain,
% 1.35/0.81 (![X0 : $i]:
% 1.35/0.81 ( (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)
% 1.35/0.81 | ~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.35/0.81 thf(zip_derived_cl697, plain,
% 1.35/0.81 ((![X0 : $i]:
% 1.35/0.81 ~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))
% 1.35/0.81 <= ((![X0 : $i]:
% 1.35/0.81 ~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))))),
% 1.35/0.81 inference('split', [status(esa)], [zip_derived_cl658])).
% 1.35/0.81 thf(cls_conjecture_3, conjecture,
% 1.35/0.81 (~( ( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_xc @ V_xc @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 1.35/0.81 ( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_xg @ V_xg @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) ))).
% 1.35/0.81 thf(zf_stmt_4, negated_conjecture,
% 1.35/0.81 (( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_xc @ V_xc @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 1.35/0.81 ( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_xg @ V_xg @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) )),
% 1.35/0.81 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 1.35/0.81 thf(zip_derived_cl660, plain,
% 1.35/0.81 (![X0 : $i, X1 : $i]:
% 1.35/0.81 (~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | ~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X1 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.35/0.81 thf('1', plain,
% 1.35/0.81 ((![X0 : $i]:
% 1.35/0.81 ~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('split', [status(esa)], [zip_derived_cl660])).
% 1.35/0.81 thf('2', plain,
% 1.35/0.81 ((![X0 : $i]:
% 1.35/0.81 ~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('sat_resolution*', [status(thm)], ['1'])).
% 1.35/0.81 thf(zip_derived_cl760, plain,
% 1.35/0.81 (![X0 : $i]:
% 1.35/0.81 ~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.35/0.81 inference('simpl_trail', [status(thm)], [zip_derived_cl697, '2'])).
% 1.35/0.81 thf('3', plain,
% 1.35/0.81 (~
% 1.35/0.81 ( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl711, zip_derived_cl760])).
% 1.35/0.81 thf(cls_conjecture_15, conjecture,
% 1.35/0.81 (~( ( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.35/0.81 ( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) ))).
% 1.35/0.81 thf(zf_stmt_5, negated_conjecture,
% 1.35/0.81 (( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.35/0.81 ( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) )),
% 1.35/0.81 inference('cnf.neg', [status(esa)], [cls_conjecture_15])).
% 1.35/0.81 thf(zip_derived_cl672, plain,
% 1.35/0.81 ((~ (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | ~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.35/0.81 thf('4', plain,
% 1.35/0.81 (~
% 1.35/0.81 ( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))) |
% 1.35/0.81 ( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))) |
% 1.35/0.81 ~ ( (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt))),
% 1.35/0.81 inference('split', [status(esa)], [zip_derived_cl672])).
% 1.35/0.81 thf('5', plain,
% 1.35/0.81 (~
% 1.35/0.81 ( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('sat_resolution*', [status(thm)], ['0', '3', '4'])).
% 1.35/0.81 thf(zip_derived_cl777, plain,
% 1.35/0.81 (~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.35/0.81 inference('simpl_trail', [status(thm)], [zip_derived_cl714, '5'])).
% 1.35/0.81 thf(cls_conjecture_4, conjecture,
% 1.35/0.81 (~( ( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) |
% 1.35/0.81 ( ( V_xd ) = ( V_ya ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_ya @ V_xd @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_xd @ V_ya @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 1.35/0.81 thf(zf_stmt_6, negated_conjecture,
% 1.35/0.81 (( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) |
% 1.35/0.81 ( ( V_xd ) = ( V_ya ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_ya @ V_xd @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_xd @ V_ya @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 1.35/0.81 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 1.35/0.81 thf(zip_derived_cl661, plain,
% 1.35/0.81 (![X0 : $i, X1 : $i]:
% 1.35/0.81 ( (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)
% 1.35/0.81 | ((X1) = (X0))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.35/0.81 thf(zip_derived_cl703, plain,
% 1.35/0.81 ((![X0 : $i, X1 : $i]:
% 1.35/0.81 (((X1) = (X0))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))))
% 1.35/0.81 <= ((![X0 : $i, X1 : $i]:
% 1.35/0.81 (((X1) = (X0))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))))),
% 1.35/0.81 inference('split', [status(esa)], [zip_derived_cl661])).
% 1.35/0.81 thf(cls_conjecture_17, conjecture,
% 1.35/0.81 (~( ( ( V_xb ) = ( V_y ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_xb @ V_y @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_y @ V_xb @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.35/0.81 ( ( V_xh ) = ( V_yc ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_yc @ V_xh @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_xh @ V_yc @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 1.35/0.81 thf(zf_stmt_7, negated_conjecture,
% 1.35/0.81 (( ( V_xb ) = ( V_y ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_xb @ V_y @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_y @ V_xb @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.35/0.81 ( ( V_xh ) = ( V_yc ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_yc @ V_xh @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 V_xh @ V_yc @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 1.35/0.81 inference('cnf.neg', [status(esa)], [cls_conjecture_17])).
% 1.35/0.81 thf(zip_derived_cl674, plain,
% 1.35/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/0.81 (((X1) = (X0))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | ((X3) = (X2))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X2 @ X3 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X3 @ X2 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.35/0.81 thf('6', plain,
% 1.35/0.81 ((![X0 : $i, X1 : $i]:
% 1.35/0.81 (((X1) = (X0))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))))),
% 1.35/0.81 inference('split', [status(esa)], [zip_derived_cl674])).
% 1.35/0.81 thf('7', plain,
% 1.35/0.81 ((![X0 : $i, X1 : $i]:
% 1.35/0.81 (((X1) = (X0))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))))),
% 1.35/0.81 inference('sat_resolution*', [status(thm)], ['6'])).
% 1.35/0.81 thf(zip_derived_cl779, plain,
% 1.35/0.81 (![X0 : $i, X1 : $i]:
% 1.35/0.81 (((X1) = (X0))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('simpl_trail', [status(thm)], [zip_derived_cl703, '7'])).
% 1.35/0.81 thf(cls_conjecture_10, conjecture,
% 1.35/0.81 (~( ( ( v_x ) != ( v_xa ) ) |
% 1.35/0.81 ( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.35/0.81 ( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 1.35/0.81 thf(zf_stmt_8, negated_conjecture,
% 1.35/0.81 (( ( v_x ) != ( v_xa ) ) |
% 1.35/0.81 ( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.35/0.81 ( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 1.35/0.81 inference('cnf.neg', [status(esa)], [cls_conjecture_10])).
% 1.35/0.81 thf(zip_derived_cl667, plain,
% 1.35/0.81 ((((v_x) != (v_xa))
% 1.35/0.81 | ~ (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)
% 1.35/0.81 | ~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.35/0.81 thf(zip_derived_cl718, plain,
% 1.35/0.81 ((~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))
% 1.35/0.81 <= (~
% 1.35/0.81 ( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))))),
% 1.35/0.81 inference('split', [status(esa)], [zip_derived_cl667])).
% 1.35/0.81 thf(cls_conjecture_13, conjecture,
% 1.35/0.81 (~( ( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.35/0.81 ( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 1.35/0.81 thf(zf_stmt_9, negated_conjecture,
% 1.35/0.81 (( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.35/0.81 ( ~( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 1.35/0.81 ( hBOOL @
% 1.35/0.81 ( c_in @
% 1.35/0.81 ( c_Pair @
% 1.35/0.81 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.35/0.81 v_L @
% 1.35/0.81 ( tc_prod @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 1.35/0.81 inference('cnf.neg', [status(esa)], [cls_conjecture_13])).
% 1.35/0.81 thf(zip_derived_cl670, plain,
% 1.35/0.81 ((~ (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)
% 1.35/0.81 | ~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.35/0.81 thf('8', plain,
% 1.35/0.81 (~
% 1.35/0.81 ( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))) |
% 1.35/0.81 ( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))) |
% 1.35/0.81 ~ ( (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt))),
% 1.35/0.81 inference('split', [status(esa)], [zip_derived_cl670])).
% 1.35/0.81 thf('9', plain,
% 1.35/0.81 (~
% 1.35/0.81 ( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.35/0.81 inference('sat_resolution*', [status(thm)], ['0', '3', '8'])).
% 1.35/0.81 thf(zip_derived_cl778, plain,
% 1.35/0.81 (~ (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.35/0.81 inference('simpl_trail', [status(thm)], [zip_derived_cl718, '9'])).
% 1.35/0.81 thf(zip_derived_cl789, plain,
% 1.35/0.81 (( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.35/0.81 | ((v_x) = (v_xa)))),
% 1.35/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl779, zip_derived_cl778])).
% 1.35/0.81 thf(zip_derived_cl713, plain,
% 1.35/0.81 ((((v_x) != (v_xa))) <= (~ (((v_x) = (v_xa))))),
% 1.35/0.81 inference('split', [status(esa)], [zip_derived_cl665])).
% 1.35/0.81 thf('10', plain,
% 1.35/0.81 (~ (((v_x) = (v_xa))) |
% 1.35/0.81 ( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))) |
% 1.35/0.81 ~ ( (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt))),
% 1.35/0.81 inference('split', [status(esa)], [zip_derived_cl665])).
% 1.35/0.81 thf('11', plain, (~ (((v_x) = (v_xa)))),
% 1.35/0.81 inference('sat_resolution*', [status(thm)], ['0', '3', '10'])).
% 1.35/0.81 thf(zip_derived_cl776, plain, (((v_x) != (v_xa))),
% 1.35/0.81 inference('simpl_trail', [status(thm)], [zip_derived_cl713, '11'])).
% 1.35/0.81 thf(zip_derived_cl791, plain,
% 1.35/0.81 ( (hBOOL @
% 1.35/0.81 (c_in @
% 1.35/0.81 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.35/0.81 v_L @
% 1.35/0.81 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.35/0.81 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.35/0.81 inference('simplify_reflect-', [status(thm)],
% 1.35/0.81 [zip_derived_cl789, zip_derived_cl776])).
% 1.35/0.81 thf(zip_derived_cl793, plain, ($false),
% 1.35/0.81 inference('demod', [status(thm)], [zip_derived_cl777, zip_derived_cl791])).
% 1.35/0.81
% 1.35/0.81 % SZS output end Refutation
% 1.35/0.81
% 1.35/0.81
% 1.35/0.81 % Terminating...
% 1.53/0.96 % Runner terminated.
% 1.53/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------