TSTP Solution File: SCT004-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT004-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sBfNUNSCf4 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 14:26:55 EDT 2023
% Result : Unsatisfiable 1.30s 0.92s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SCT004-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sBfNUNSCf4 true
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 15:06:14 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.92 % Solved by fo/fo4.sh.
% 1.30/0.92 % done 55 iterations in 0.120s
% 1.30/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.92 % SZS output start Refutation
% 1.30/0.92 thf(v_xa_type, type, v_xa: $i).
% 1.30/0.92 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 1.30/0.92 thf(hBOOL_type, type, hBOOL: $i > $o).
% 1.30/0.92 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 1.30/0.92 $i).
% 1.30/0.92 thf(c_in_type, type, c_in: $i > $i > $i > $i).
% 1.30/0.92 thf(v_x_type, type, v_x: $i).
% 1.30/0.92 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 1.30/0.92 thf(v_L_type, type, v_L: $i).
% 1.30/0.92 thf(c_Relation_Otrans_type, type, c_Relation_Otrans: $i > $i > $o).
% 1.30/0.92 thf(cls_conjecture_15, conjecture,
% 1.30/0.92 (~( ( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.30/0.92 ( ~( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) ))).
% 1.30/0.92 thf(zf_stmt_0, negated_conjecture,
% 1.30/0.92 (( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.30/0.92 ( ~( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) )),
% 1.30/0.92 inference('cnf.neg', [status(esa)], [cls_conjecture_15])).
% 1.30/0.92 thf(zip_derived_cl24, plain,
% 1.30/0.92 ((~ (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)
% 1.30/0.92 | (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.30/0.92 | ~ (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.30/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.92 thf(cls_conjecture_0, conjecture,
% 1.30/0.92 (~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ))).
% 1.30/0.92 thf(zf_stmt_1, negated_conjecture,
% 1.30/0.92 (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt),
% 1.30/0.92 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 1.30/0.92 thf(zip_derived_cl39, plain,
% 1.30/0.92 ( (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)),
% 1.30/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.30/0.92 thf(zip_derived_cl46, plain,
% 1.30/0.92 (( (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.30/0.92 | ~ (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl39])).
% 1.30/0.92 thf(cls_conjecture_3, conjecture,
% 1.30/0.92 (~( ( ~( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 V_xc @ V_xc @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 1.30/0.92 ( ~( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 V_xg @ V_xg @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) ))).
% 1.30/0.92 thf(zf_stmt_2, negated_conjecture,
% 1.30/0.92 (( ~( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 V_xc @ V_xc @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 1.30/0.92 ( ~( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 V_xg @ V_xg @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) )),
% 1.30/0.92 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 1.30/0.92 thf(zip_derived_cl36, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]:
% 1.30/0.92 (~ (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X0 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.30/0.92 | ~ (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X1 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.30/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.30/0.92 thf(zip_derived_cl58, plain,
% 1.30/0.92 (![X0 : $i]:
% 1.30/0.92 ~ (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X0 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.30/0.92 inference('condensation', [status(thm)], [zip_derived_cl36])).
% 1.30/0.92 thf(zip_derived_cl59, plain,
% 1.30/0.92 (~ (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl58])).
% 1.30/0.92 thf(cls_conjecture_17, conjecture,
% 1.30/0.92 (~( ( ( V_xb ) = ( V_y ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 V_xb @ V_y @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 V_y @ V_xb @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.30/0.92 ( ( V_xh ) = ( V_yc ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 V_yc @ V_xh @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 V_xh @ V_yc @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 1.30/0.92 thf(zf_stmt_3, negated_conjecture,
% 1.30/0.92 (( ( V_xb ) = ( V_y ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 V_xb @ V_y @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 V_y @ V_xb @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.30/0.92 ( ( V_xh ) = ( V_yc ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 V_yc @ V_xh @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 V_xh @ V_yc @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 1.30/0.92 inference('cnf.neg', [status(esa)], [cls_conjecture_17])).
% 1.30/0.92 thf(zip_derived_cl22, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.92 (((X1) = (X0))
% 1.30/0.92 | (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.30/0.92 | (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.30/0.92 | ((X3) = (X2))
% 1.30/0.92 | (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X2 @ X3 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.30/0.92 | (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X3 @ X2 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.30/0.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.30/0.92 thf(zip_derived_cl136, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]:
% 1.30/0.92 ( (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.30/0.92 | (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.30/0.92 | ((X0) = (X1))
% 1.30/0.92 | (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.30/0.92 | ((X1) = (X0)))),
% 1.30/0.92 inference('eq_fact', [status(thm)], [zip_derived_cl22])).
% 1.30/0.92 thf(zip_derived_cl147, plain,
% 1.30/0.92 (![X0 : $i, X1 : $i]:
% 1.30/0.92 (((X0) = (X1))
% 1.30/0.92 | (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.30/0.92 | (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.30/0.92 inference('simplify', [status(thm)], [zip_derived_cl136])).
% 1.30/0.92 thf(cls_conjecture_13, conjecture,
% 1.30/0.92 (~( ( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.30/0.92 ( ~( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 1.30/0.92 thf(zf_stmt_4, negated_conjecture,
% 1.30/0.92 (( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.30/0.92 ( ~( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 1.30/0.92 inference('cnf.neg', [status(esa)], [cls_conjecture_13])).
% 1.30/0.92 thf(zip_derived_cl26, plain,
% 1.30/0.92 ((~ (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)
% 1.30/0.92 | ~ (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.30/0.92 | (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.30/0.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.30/0.92 thf(zip_derived_cl39, plain,
% 1.30/0.92 ( (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)),
% 1.30/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.30/0.92 thf(zip_derived_cl47, plain,
% 1.30/0.92 ((~ (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.30/0.92 | (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl39])).
% 1.30/0.92 thf(zip_derived_cl58, plain,
% 1.30/0.92 (![X0 : $i]:
% 1.30/0.92 ~ (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X0 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.30/0.92 inference('condensation', [status(thm)], [zip_derived_cl36])).
% 1.30/0.92 thf(zip_derived_cl60, plain,
% 1.30/0.92 (~ (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_xa @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl58])).
% 1.30/0.92 thf(zip_derived_cl169, plain,
% 1.30/0.92 (( (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))
% 1.30/0.92 | ((v_x) = (v_xa)))),
% 1.30/0.92 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl60])).
% 1.30/0.92 thf(cls_conjecture_8, conjecture,
% 1.30/0.92 (~( ( ( v_x ) != ( v_xa ) ) |
% 1.30/0.92 ( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 1.30/0.92 thf(zf_stmt_5, negated_conjecture,
% 1.30/0.92 (( ( v_x ) != ( v_xa ) ) |
% 1.30/0.92 ( ~( c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 1.30/0.92 ( hBOOL @
% 1.30/0.92 ( c_in @
% 1.30/0.92 ( c_Pair @
% 1.30/0.92 v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 1.30/0.92 v_L @
% 1.30/0.92 ( tc_prod @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 1.30/0.92 inference('cnf.neg', [status(esa)], [cls_conjecture_8])).
% 1.30/0.92 thf(zip_derived_cl31, plain,
% 1.30/0.92 ((((v_x) != (v_xa))
% 1.30/0.92 | ~ (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)
% 1.30/0.92 | (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.30/0.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.30/0.92 thf(zip_derived_cl39, plain,
% 1.30/0.92 ( (c_Relation_Otrans @ v_L @ tc_Arrow__Order__Mirabelle_Oalt)),
% 1.30/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.30/0.92 thf(zip_derived_cl45, plain,
% 1.30/0.92 ((((v_x) != (v_xa))
% 1.30/0.92 | (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_x @ v_x @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt))))),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl39])).
% 1.30/0.92 thf(zip_derived_cl58, plain,
% 1.30/0.92 (![X0 : $i]:
% 1.30/0.92 ~ (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ X0 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.30/0.92 inference('condensation', [status(thm)], [zip_derived_cl36])).
% 1.30/0.92 thf(zip_derived_cl61, plain, (((v_x) != (v_xa))),
% 1.30/0.92 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl58])).
% 1.30/0.92 thf(zip_derived_cl179, plain,
% 1.30/0.92 ( (hBOOL @
% 1.30/0.92 (c_in @
% 1.30/0.92 (c_Pair @ v_x @ v_xa @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 1.30/0.92 v_L @
% 1.30/0.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 1.30/0.92 tc_Arrow__Order__Mirabelle_Oalt)))),
% 1.30/0.92 inference('simplify_reflect-', [status(thm)],
% 1.30/0.92 [zip_derived_cl169, zip_derived_cl61])).
% 1.30/0.92 thf(zip_derived_cl183, plain, ($false),
% 1.30/0.92 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl179])).
% 1.30/0.92
% 1.30/0.92 % SZS output end Refutation
% 1.30/0.92
% 1.30/0.92
% 1.30/0.92 % Terminating...
% 1.30/0.97 % Runner terminated.
% 1.30/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------