%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT105+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hOKrkpvFZA true
% Computer : n029.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 04:50:49 PM UTC 2025
% Result : Theorem 0.50s 0.83s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SCT105+1 : TPTP v9.2.0. Released v5.2.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hOKrkpvFZA true
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 15:15:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.40/0.60 % Total configuration time : 435
% 0.40/0.60 % Estimated wc time : 1092
% 0.40/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.83 % Solved by fo/fo4.sh.
% 0.50/0.83 % done 73 iterations in 0.089s
% 0.50/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.83 % SZS output start Refutation
% 0.50/0.83 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 0.50/0.83 $i).
% 0.50/0.83 thf(sk__8_type, type, sk__8: $i).
% 0.50/0.83 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 0.50/0.83 thf(sk__9_type, type, sk__9: $i).
% 0.50/0.83 thf(c_Product__Type_OPair_type, type, c_Product__Type_OPair: $i > $i > $i >
% 0.50/0.83 $i > $i).
% 0.50/0.83 thf(v_L_type, type, v_L: $i).
% 0.50/0.83 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 0.50/0.83 thf(sk__10_type, type, sk__10: $i).
% 0.50/0.83 thf(c_member_type, type, c_member: $i > $i > $i > $o).
% 0.50/0.83 thf(sk__11_type, type, sk__11: $i).
% 0.50/0.83 thf(sk__7_type, type, sk__7: $i).
% 0.50/0.83 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 0.50/0.83 thf(zip_tseitin_4_type, type, zip_tseitin_4: $o).
% 0.50/0.83 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 0.50/0.83 thf(sk__6_type, type, sk__6: $i).
% 0.50/0.83 thf(c_Relation_Otrans_type, type, c_Relation_Otrans: $i > $i > $o).
% 0.50/0.83 thf(zip_tseitin_6_type, type, zip_tseitin_6: $o).
% 0.50/0.83 thf(conj_0, conjecture,
% 0.50/0.83 (( ( ![B_x:$i,B_y:$i]:
% 0.50/0.83 ( ( ( B_x ) != ( B_y ) ) =>
% 0.50/0.83 ( ( c_member @
% 0.50/0.83 ( tc_prod @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.50/0.83 ( c_Product__Type_OPair @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_y ) @
% 0.50/0.83 v_L ) |
% 0.50/0.83 ( c_member @
% 0.50/0.83 ( tc_prod @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.50/0.83 ( c_Product__Type_OPair @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ B_y @ B_x ) @
% 0.50/0.83 v_L ) ) ) ) &
% 0.50/0.83 ( ![B_x:$i]:
% 0.50/0.83 ( ~( c_member @
% 0.50/0.83 ( tc_prod @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.50/0.83 ( c_Product__Type_OPair @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_x ) @
% 0.50/0.83 v_L ) ) ) &
% 0.50/0.83 ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L ) ) <=>
% 0.50/0.83 ( ( ![B_x:$i,B_y:$i]:
% 0.50/0.83 ( ( ( B_x ) != ( B_y ) ) =>
% 0.50/0.83 ( ( c_member @
% 0.50/0.83 ( tc_prod @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.50/0.83 ( c_Product__Type_OPair @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ B_y @ B_x ) @
% 0.50/0.83 v_L ) |
% 0.50/0.83 ( c_member @
% 0.50/0.83 ( tc_prod @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.50/0.83 ( c_Product__Type_OPair @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_y ) @
% 0.50/0.83 v_L ) ) ) ) &
% 0.50/0.83 ( ![B_x:$i]:
% 0.50/0.83 ( ~( c_member @
% 0.50/0.83 ( tc_prod @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.50/0.83 ( c_Product__Type_OPair @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_x ) @
% 0.50/0.83 v_L ) ) ) &
% 0.50/0.83 ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L ) ))).
% 0.50/0.83 thf(zf_stmt_0, axiom,
% 0.50/0.83 (![B_y:$i,B_x:$i]:
% 0.50/0.83 ( ( zip_tseitin_5 @ B_y @ B_x ) <=>
% 0.50/0.83 ( ( ( B_x ) != ( B_y ) ) => ( zip_tseitin_2 @ B_x @ B_y ) ) ))).
% 0.50/0.83 thf(zip_derived_cl48, plain,
% 0.50/0.83 (![X0 : $i, X1 : $i]: ( (zip_tseitin_5 @ X0 @ X1) | ((X1) != (X0)))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.83 thf(zf_stmt_1, axiom,
% 0.50/0.83 (( zip_tseitin_6 ) <=>
% 0.50/0.83 ( ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L ) &
% 0.50/0.83 ( ![B_x:$i]:
% 0.50/0.83 ( ~( c_member @
% 0.50/0.83 ( tc_prod @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.50/0.83 ( c_Product__Type_OPair @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_x ) @
% 0.50/0.83 v_L ) ) ) &
% 0.50/0.83 ( ![B_x:$i,B_y:$i]: ( zip_tseitin_5 @ B_y @ B_x ) ) ))).
% 0.50/0.83 thf(zip_derived_cl52, plain,
% 0.50/0.83 (( (zip_tseitin_6)
% 0.50/0.83 | ~ (zip_tseitin_5 @ sk__10 @ sk__9)
% 0.50/0.83 | (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11) @
% 0.50/0.83 v_L)
% 0.50/0.83 | ~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.83 thf(zip_derived_cl62, plain,
% 0.50/0.83 ((((sk__9) != (sk__10))
% 0.50/0.83 | ~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L)
% 0.50/0.83 | (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11) @
% 0.50/0.83 v_L)
% 0.50/0.83 | (zip_tseitin_6))),
% 0.50/0.83 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl52])).
% 0.50/0.83 thf(zf_stmt_2, type, zip_tseitin_6 : $o).
% 0.50/0.83 thf(zf_stmt_3, type, zip_tseitin_5 : $i > $i > $o).
% 0.50/0.83 thf(zf_stmt_4, type, zip_tseitin_4 : $o).
% 0.50/0.83 thf(zf_stmt_5, axiom,
% 0.50/0.83 (( zip_tseitin_4 ) <=>
% 0.50/0.83 ( ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L ) &
% 0.50/0.83 ( ![B_x:$i]:
% 0.50/0.83 ( ~( c_member @
% 0.50/0.83 ( tc_prod @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.50/0.83 ( c_Product__Type_OPair @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_x ) @
% 0.50/0.83 v_L ) ) ) &
% 0.50/0.83 ( ![B_x:$i,B_y:$i]: ( zip_tseitin_3 @ B_y @ B_x ) ) ))).
% 0.50/0.83 thf(zf_stmt_6, type, zip_tseitin_3 : $i > $i > $o).
% 0.50/0.83 thf(zf_stmt_7, axiom,
% 0.50/0.83 (![B_y:$i,B_x:$i]:
% 0.50/0.83 ( ( zip_tseitin_3 @ B_y @ B_x ) <=>
% 0.50/0.83 ( ( ( B_x ) != ( B_y ) ) => ( zip_tseitin_2 @ B_y @ B_x ) ) ))).
% 0.50/0.83 thf(zf_stmt_8, type, zip_tseitin_2 : $i > $i > $o).
% 0.50/0.83 thf(zf_stmt_9, axiom,
% 0.50/0.83 (![B_y:$i,B_x:$i]:
% 0.50/0.83 ( ( zip_tseitin_2 @ B_y @ B_x ) <=>
% 0.50/0.83 ( ( c_member @
% 0.50/0.83 ( tc_prod @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.50/0.83 ( c_Product__Type_OPair @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ B_y @ B_x ) @
% 0.50/0.83 v_L ) |
% 0.50/0.83 ( c_member @
% 0.50/0.83 ( tc_prod @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.50/0.83 ( c_Product__Type_OPair @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_y ) @
% 0.50/0.83 v_L ) ) ))).
% 0.50/0.83 thf(zf_stmt_10, conjecture, (( zip_tseitin_4 ) <=> ( zip_tseitin_6 ))).
% 0.50/0.83 thf(zf_stmt_11, negated_conjecture,
% 0.50/0.83 (~( ( zip_tseitin_4 ) <=> ( zip_tseitin_6 ) )),
% 0.50/0.83 inference('cnf.neg', [status(esa)], [zf_stmt_10])).
% 0.50/0.83 thf(zip_derived_cl53, plain, (( (zip_tseitin_6) | (zip_tseitin_4))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.50/0.83 thf(zip_derived_cl44, plain,
% 0.50/0.83 (![X0 : $i, X1 : $i]: ( (zip_tseitin_3 @ X0 @ X1) | ~ (zip_tseitin_4))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.50/0.83 thf(zip_derived_cl39, plain,
% 0.50/0.83 (![X0 : $i, X1 : $i]:
% 0.50/0.83 (((X1) = (X0))
% 0.50/0.83 | (zip_tseitin_2 @ X0 @ X1)
% 0.50/0.83 | ~ (zip_tseitin_3 @ X0 @ X1))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.50/0.83 thf(zip_derived_cl69, plain,
% 0.50/0.83 (![X0 : $i, X1 : $i]:
% 0.50/0.83 (~ (zip_tseitin_4) | (zip_tseitin_2 @ X1 @ X0) | ((X0) = (X1)))),
% 0.50/0.83 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl39])).
% 0.50/0.83 thf(zip_derived_cl77, plain,
% 0.50/0.83 (![X0 : $i, X1 : $i]:
% 0.50/0.83 ( (zip_tseitin_6) | ((X0) = (X1)) | (zip_tseitin_2 @ X1 @ X0))),
% 0.50/0.83 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl69])).
% 0.50/0.83 thf(zip_derived_cl51, plain,
% 0.50/0.83 (![X0 : $i, X1 : $i]: ( (zip_tseitin_5 @ X0 @ X1) | ~ (zip_tseitin_6))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.83 thf(zip_derived_cl46, plain,
% 0.50/0.83 (![X0 : $i, X1 : $i]:
% 0.50/0.83 (((X1) = (X0))
% 0.50/0.83 | (zip_tseitin_2 @ X1 @ X0)
% 0.50/0.83 | ~ (zip_tseitin_5 @ X0 @ X1))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.83 thf(zip_derived_cl72, plain,
% 0.50/0.83 (![X0 : $i, X1 : $i]:
% 0.50/0.83 (~ (zip_tseitin_6) | (zip_tseitin_2 @ X0 @ X1) | ((X0) = (X1)))),
% 0.50/0.83 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl46])).
% 0.50/0.83 thf(zip_derived_cl80, plain,
% 0.50/0.83 (![X0 : $i, X1 : $i]: ( (zip_tseitin_2 @ X1 @ X0) | ((X0) = (X1)))),
% 0.50/0.83 inference('clc', [status(thm)], [zip_derived_cl77, zip_derived_cl72])).
% 0.50/0.83 thf(zip_derived_cl40, plain,
% 0.50/0.83 (![X0 : $i, X1 : $i]:
% 0.50/0.83 ( (zip_tseitin_3 @ X0 @ X1) | ~ (zip_tseitin_2 @ X0 @ X1))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.50/0.83 thf(zip_derived_cl45, plain,
% 0.50/0.83 (( (zip_tseitin_4)
% 0.50/0.83 | ~ (zip_tseitin_3 @ sk__7 @ sk__6)
% 0.50/0.83 | (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ sk__8 @ sk__8) @
% 0.50/0.83 v_L)
% 0.50/0.83 | ~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.50/0.83 thf(zip_derived_cl63, plain,
% 0.50/0.83 ((~ (zip_tseitin_2 @ sk__7 @ sk__6)
% 0.50/0.83 | ~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L)
% 0.50/0.83 | (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ sk__8 @ sk__8) @
% 0.50/0.83 v_L)
% 0.50/0.83 | (zip_tseitin_4))),
% 0.50/0.83 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl45])).
% 0.50/0.83 thf(zip_derived_cl81, plain,
% 0.50/0.83 ((((sk__6) = (sk__7))
% 0.50/0.83 | (zip_tseitin_4)
% 0.50/0.83 | (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ sk__8 @ sk__8) @
% 0.50/0.83 v_L)
% 0.50/0.83 | ~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L))),
% 0.50/0.83 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl63])).
% 0.50/0.83 thf(zip_derived_cl41, plain,
% 0.50/0.83 (![X0 : $i, X1 : $i]: ( (zip_tseitin_3 @ X0 @ X1) | ((X1) != (X0)))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.50/0.83 thf(zip_derived_cl45, plain,
% 0.50/0.83 (( (zip_tseitin_4)
% 0.50/0.83 | ~ (zip_tseitin_3 @ sk__7 @ sk__6)
% 0.50/0.83 | (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ sk__8 @ sk__8) @
% 0.50/0.83 v_L)
% 0.50/0.83 | ~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.50/0.83 thf(zip_derived_cl59, plain,
% 0.50/0.83 ((((sk__6) != (sk__7))
% 0.50/0.83 | ~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L)
% 0.50/0.83 | (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ sk__8 @ sk__8) @
% 0.50/0.83 v_L)
% 0.50/0.83 | (zip_tseitin_4))),
% 0.50/0.83 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl45])).
% 0.50/0.83 thf(zip_derived_cl96, plain,
% 0.50/0.83 ((~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L)
% 0.50/0.83 | (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ sk__8 @ sk__8) @
% 0.50/0.83 v_L)
% 0.50/0.83 | (zip_tseitin_4))),
% 0.50/0.83 inference('clc', [status(thm)], [zip_derived_cl81, zip_derived_cl59])).
% 0.50/0.83 thf(zip_derived_cl53, plain, (( (zip_tseitin_6) | (zip_tseitin_4))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.50/0.83 thf(zip_derived_cl43, plain,
% 0.50/0.83 (![X0 : $i]:
% 0.50/0.83 (~ (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X0) @
% 0.50/0.83 v_L)
% 0.50/0.83 | ~ (zip_tseitin_4))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.50/0.83 thf(zip_derived_cl55, plain,
% 0.50/0.83 (![X0 : $i]:
% 0.50/0.83 ( (zip_tseitin_6)
% 0.50/0.83 | ~ (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X0) @
% 0.50/0.83 v_L))),
% 0.50/0.83 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl43])).
% 0.50/0.83 thf(zip_derived_cl50, plain,
% 0.50/0.83 (![X0 : $i]:
% 0.50/0.83 (~ (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X0) @
% 0.50/0.83 v_L)
% 0.50/0.83 | ~ (zip_tseitin_6))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.83 thf(zip_derived_cl64, plain,
% 0.50/0.83 (![X0 : $i]:
% 0.50/0.83 ~ (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X0) @
% 0.50/0.83 v_L)),
% 0.50/0.83 inference('clc', [status(thm)], [zip_derived_cl55, zip_derived_cl50])).
% 0.50/0.83 thf(zip_derived_cl97, plain,
% 0.50/0.83 (( (zip_tseitin_4)
% 0.50/0.83 | ~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L))),
% 0.50/0.83 inference('clc', [status(thm)], [zip_derived_cl96, zip_derived_cl64])).
% 0.50/0.83 thf(zip_derived_cl49, plain,
% 0.50/0.83 (( (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L)
% 0.50/0.83 | ~ (zip_tseitin_6))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.83 thf(zip_derived_cl99, plain, (( (zip_tseitin_4) | ~ (zip_tseitin_6))),
% 0.50/0.83 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl49])).
% 0.50/0.83 thf(zip_derived_cl54, plain, ((~ (zip_tseitin_6) | ~ (zip_tseitin_4))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.50/0.83 thf(zip_derived_cl102, plain, (~ (zip_tseitin_6)),
% 0.50/0.83 inference('clc', [status(thm)], [zip_derived_cl99, zip_derived_cl54])).
% 0.50/0.83 thf(zip_derived_cl105, plain,
% 0.50/0.83 ((((sk__9) != (sk__10))
% 0.50/0.83 | ~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L)
% 0.50/0.83 | (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11) @
% 0.50/0.83 v_L))),
% 0.50/0.83 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl102])).
% 0.50/0.83 thf(zip_derived_cl42, plain,
% 0.50/0.83 (( (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L)
% 0.50/0.83 | ~ (zip_tseitin_4))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.50/0.83 thf(zip_derived_cl80, plain,
% 0.50/0.83 (![X0 : $i, X1 : $i]: ( (zip_tseitin_2 @ X1 @ X0) | ((X0) = (X1)))),
% 0.50/0.83 inference('clc', [status(thm)], [zip_derived_cl77, zip_derived_cl72])).
% 0.50/0.83 thf(zip_derived_cl47, plain,
% 0.50/0.83 (![X0 : $i, X1 : $i]:
% 0.50/0.83 ( (zip_tseitin_5 @ X0 @ X1) | ~ (zip_tseitin_2 @ X1 @ X0))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.83 thf(zip_derived_cl52, plain,
% 0.50/0.83 (( (zip_tseitin_6)
% 0.50/0.83 | ~ (zip_tseitin_5 @ sk__10 @ sk__9)
% 0.50/0.83 | (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11) @
% 0.50/0.83 v_L)
% 0.50/0.83 | ~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.83 thf(zip_derived_cl65, plain,
% 0.50/0.83 ((~ (zip_tseitin_2 @ sk__9 @ sk__10)
% 0.50/0.83 | ~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L)
% 0.50/0.83 | (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11) @
% 0.50/0.83 v_L)
% 0.50/0.83 | (zip_tseitin_6))),
% 0.50/0.83 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl52])).
% 0.50/0.83 thf(zip_derived_cl64, plain,
% 0.50/0.83 (![X0 : $i]:
% 0.50/0.83 ~ (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X0) @
% 0.50/0.83 v_L)),
% 0.50/0.83 inference('clc', [status(thm)], [zip_derived_cl55, zip_derived_cl50])).
% 0.50/0.83 thf(zip_derived_cl66, plain,
% 0.50/0.83 (( (zip_tseitin_6)
% 0.50/0.83 | ~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L)
% 0.50/0.83 | ~ (zip_tseitin_2 @ sk__9 @ sk__10))),
% 0.50/0.83 inference('clc', [status(thm)], [zip_derived_cl65, zip_derived_cl64])).
% 0.50/0.83 thf(zip_derived_cl82, plain,
% 0.50/0.83 ((((sk__10) = (sk__9))
% 0.50/0.83 | ~ (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L)
% 0.50/0.83 | (zip_tseitin_6))),
% 0.50/0.83 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl66])).
% 0.50/0.83 thf(zip_derived_cl84, plain,
% 0.50/0.83 ((~ (zip_tseitin_4) | (zip_tseitin_6) | ((sk__10) = (sk__9)))),
% 0.50/0.83 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl82])).
% 0.50/0.83 thf(zip_derived_cl53, plain, (( (zip_tseitin_6) | (zip_tseitin_4))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.50/0.83 thf(zip_derived_cl86, plain, ((((sk__10) = (sk__9)) | (zip_tseitin_6))),
% 0.50/0.83 inference('clc', [status(thm)], [zip_derived_cl84, zip_derived_cl53])).
% 0.50/0.83 thf(zip_derived_cl102, plain, (~ (zip_tseitin_6)),
% 0.50/0.83 inference('clc', [status(thm)], [zip_derived_cl99, zip_derived_cl54])).
% 0.50/0.83 thf(zip_derived_cl107, plain, (((sk__10) = (sk__9))),
% 0.50/0.83 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl102])).
% 0.50/0.83 thf(zip_derived_cl42, plain,
% 0.50/0.83 (( (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L)
% 0.50/0.83 | ~ (zip_tseitin_4))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.50/0.83 thf(zip_derived_cl53, plain, (( (zip_tseitin_6) | (zip_tseitin_4))),
% 0.50/0.83 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.50/0.83 thf(zip_derived_cl102, plain, (~ (zip_tseitin_6)),
% 0.50/0.83 inference('clc', [status(thm)], [zip_derived_cl99, zip_derived_cl54])).
% 0.50/0.83 thf(zip_derived_cl104, plain, ( (zip_tseitin_4)),
% 0.50/0.83 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl102])).
% 0.50/0.83 thf(zip_derived_cl108, plain,
% 0.50/0.83 ( (c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L)),
% 0.50/0.83 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl104])).
% 0.50/0.83 thf(zip_derived_cl114, plain,
% 0.50/0.83 ((((sk__10) != (sk__10))
% 0.50/0.83 | (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11) @
% 0.50/0.83 v_L))),
% 0.50/0.83 inference('demod', [status(thm)],
% 0.50/0.83 [zip_derived_cl105, zip_derived_cl107, zip_derived_cl108])).
% 0.50/0.83 thf(zip_derived_cl115, plain,
% 0.50/0.83 ( (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11) @
% 0.50/0.83 v_L)),
% 0.50/0.83 inference('simplify', [status(thm)], [zip_derived_cl114])).
% 0.50/0.83 thf(zip_derived_cl64, plain,
% 0.50/0.83 (![X0 : $i]:
% 0.50/0.83 ~ (c_member @
% 0.50/0.83 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.50/0.83 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.50/0.83 tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X0) @
% 0.50/0.83 v_L)),
% 0.50/0.83 inference('clc', [status(thm)], [zip_derived_cl55, zip_derived_cl50])).
% 0.50/0.83 thf(zip_derived_cl119, plain, ($false),
% 0.50/0.83 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl64])).
% 0.50/0.83
% 0.50/0.83 % SZS output end Refutation
% 0.50/0.83
% 0.50/0.83
% 0.50/0.83 % Terminating...
% 1.41/0.93 % Runner terminated.
% 1.41/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------