%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT055-1 : 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.XtFUSQLEe5 true
% Computer : n010.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 04:50:45 PM UTC 2025
% Result : Unsatisfiable 0.54s 1.09s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SCT055-1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XtFUSQLEe5 true
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 15:10:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.51/0.62 % Total configuration time : 435
% 0.51/0.62 % Estimated wc time : 1092
% 0.51/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/1.09 % Solved by fo/fo4.sh.
% 0.54/1.09 % done 112 iterations in 0.324s
% 0.54/1.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/1.09 % SZS output start Refutation
% 0.54/1.09 thf(c_in_type, type, c_in: $i > $i > $i > $i).
% 0.54/1.09 thf(v_c_____type, type, v_c____: $i).
% 0.54/1.09 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 0.54/1.09 thf(v_b_____type, type, v_b____: $i).
% 0.54/1.09 thf(hBOOL_type, type, hBOOL: $i > $o).
% 0.54/1.09 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 0.54/1.09 thf(v_P_____type, type, v_P____: $i).
% 0.54/1.09 thf(v_a_____type, type, v_a____: $i).
% 0.54/1.09 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 0.54/1.09 thf(v_x_type, type, v_x: $i).
% 0.54/1.09 thf(v_P_H_____type, type, v_P_H____: $i > $i).
% 0.54/1.09 thf(c_Arrow__Order__Mirabelle_Obelow_type, type, c_Arrow__Order__Mirabelle_Obelow:
% 0.54/1.09 $i).
% 0.54/1.09 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 0.54/1.09 $i).
% 0.54/1.09 thf(cls_mem__def_1, axiom,
% 0.54/1.09 (( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) |
% 0.54/1.09 ( ~( hBOOL @ ( hAPP @ V_S @ V_x ) ) ))).
% 0.54/1.09 thf(zip_derived_cl44, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 ( (hBOOL @ (c_in @ X0 @ X1 @ X2)) | ~ (hBOOL @ (hAPP @ X1 @ X0)))),
% 0.54/1.09 inference('cnf', [status(esa)], [cls_mem__def_1])).
% 0.54/1.09 thf(cls_CHAINED_1_01, axiom,
% 0.54/1.09 (( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @ v_P____ @ V_i ) ) @
% 0.54/1.09 v_c____ ) @
% 0.54/1.09 v_b____ ) ) @
% 0.54/1.09 v_b____ ) @
% 0.54/1.09 v_a____ ) ) @
% 0.54/1.09 v_a____ ) @
% 0.54/1.09 v_c____ ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.54/1.09 ( ~( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( hAPP @ v_P____ @ V_i ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 0.54/1.09 thf(zip_derived_cl48, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 ( (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @ v_P____ @ X0)) @
% 0.54/1.09 v_c____) @
% 0.54/1.09 v_b____)) @
% 0.54/1.09 v_b____) @
% 0.54/1.09 v_a____)) @
% 0.54/1.09 v_a____) @
% 0.54/1.09 v_c____) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.54/1.09 | ~ (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_a____ @ v_b____ @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (hAPP @ v_P____ @ X0) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.54/1.09 inference('cnf', [status(esa)], [cls_CHAINED_1_01])).
% 0.54/1.09 thf(cls_conjecture_1, conjecture,
% 0.54/1.09 (~( ( ~( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @ v_P____ @ v_x ) ) @
% 0.54/1.09 v_c____ ) @
% 0.54/1.09 v_b____ ) ) @
% 0.54/1.09 v_b____ ) @
% 0.54/1.09 v_a____ ) ) @
% 0.54/1.09 v_a____ ) @
% 0.54/1.09 v_c____ ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 0.54/1.09 ( ~( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( v_P_H____ @ v_x ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) ))).
% 0.54/1.09 thf(zf_stmt_0, negated_conjecture,
% 0.54/1.09 (( ~( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @ v_P____ @ v_x ) ) @
% 0.54/1.09 v_c____ ) @
% 0.54/1.09 v_b____ ) ) @
% 0.54/1.09 v_b____ ) @
% 0.54/1.09 v_a____ ) ) @
% 0.54/1.09 v_a____ ) @
% 0.54/1.09 v_c____ ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) |
% 0.54/1.09 ( ~( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( v_P_H____ @ v_x ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) )),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.54/1.09 thf(zip_derived_cl50, plain,
% 0.54/1.09 ((~ (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @ v_P____ @ v_x)) @
% 0.54/1.09 v_c____) @
% 0.54/1.09 v_b____)) @
% 0.54/1.09 v_b____) @
% 0.54/1.09 v_a____)) @
% 0.54/1.09 v_a____) @
% 0.54/1.09 v_c____) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.54/1.09 | ~ (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (v_P_H____ @ v_x) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/1.09 thf(cls_CHAINED_0_02, axiom,
% 0.54/1.09 (( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( hAPP @ v_P____ @ V_i ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.54/1.09 ( ~( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @ v_P____ @ V_i ) ) @
% 0.54/1.09 v_c____ ) @
% 0.54/1.09 v_b____ ) ) @
% 0.54/1.09 v_b____ ) @
% 0.54/1.09 v_a____ ) ) @
% 0.54/1.09 v_a____ ) @
% 0.54/1.09 v_c____ ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 0.54/1.09 thf(zip_derived_cl49, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 ( (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (hAPP @ v_P____ @ X0) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.54/1.09 | ~ (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_b____ @ v_a____ @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @ v_P____ @ X0)) @
% 0.54/1.09 v_c____) @
% 0.54/1.09 v_b____)) @
% 0.54/1.09 v_b____) @
% 0.54/1.09 v_a____)) @
% 0.54/1.09 v_a____) @
% 0.54/1.09 v_c____) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.54/1.09 inference('cnf', [status(esa)], [cls_CHAINED_0_02])).
% 0.54/1.09 thf(cls_conjecture_0, conjecture,
% 0.54/1.09 (~( ( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @ v_P____ @ v_x ) ) @
% 0.54/1.09 v_c____ ) @
% 0.54/1.09 v_b____ ) ) @
% 0.54/1.09 v_b____ ) @
% 0.54/1.09 v_a____ ) ) @
% 0.54/1.09 v_a____ ) @
% 0.54/1.09 v_c____ ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.54/1.09 ( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( v_P_H____ @ v_x ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 0.54/1.09 thf(zf_stmt_1, negated_conjecture,
% 0.54/1.09 (( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 ( hAPP @
% 0.54/1.09 c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 ( hAPP @ v_P____ @ v_x ) ) @
% 0.54/1.09 v_c____ ) @
% 0.54/1.09 v_b____ ) ) @
% 0.54/1.09 v_b____ ) @
% 0.54/1.09 v_a____ ) ) @
% 0.54/1.09 v_a____ ) @
% 0.54/1.09 v_c____ ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.54/1.09 ( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( v_P_H____ @ v_x ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.54/1.09 thf(zip_derived_cl51, plain,
% 0.54/1.09 (( (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @ v_P____ @ v_x)) @
% 0.54/1.09 v_c____) @
% 0.54/1.09 v_b____)) @
% 0.54/1.09 v_b____) @
% 0.54/1.09 v_a____)) @
% 0.54/1.09 v_a____) @
% 0.54/1.09 v_c____) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.54/1.09 | (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (v_P_H____ @ v_x) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/1.09 thf(zip_derived_cl255, plain,
% 0.54/1.09 (( (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (hAPP @ v_P____ @ v_x) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.54/1.09 | (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (v_P_H____ @ v_x) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.54/1.09 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl51])).
% 0.54/1.09 thf(cls_iff_0, axiom,
% 0.54/1.09 (( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( v_P_H____ @ V_i ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.54/1.09 ( ~( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( hAPP @ v_P____ @ V_i ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 0.54/1.09 thf(zip_derived_cl43, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 ( (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (v_P_H____ @ X0) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.54/1.09 | ~ (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_a____ @ v_b____ @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (hAPP @ v_P____ @ X0) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.54/1.09 inference('cnf', [status(esa)], [cls_iff_0])).
% 0.54/1.09 thf(zip_derived_cl279, plain,
% 0.54/1.09 ( (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (v_P_H____ @ v_x) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl255, zip_derived_cl43])).
% 0.54/1.09 thf(zip_derived_cl280, plain,
% 0.54/1.09 (~ (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @
% 0.54/1.09 (hAPP @ c_Arrow__Order__Mirabelle_Obelow @
% 0.54/1.09 (hAPP @ v_P____ @ v_x)) @
% 0.54/1.09 v_c____) @
% 0.54/1.09 v_b____)) @
% 0.54/1.09 v_b____) @
% 0.54/1.09 v_a____)) @
% 0.54/1.09 v_a____) @
% 0.54/1.09 v_c____) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl279])).
% 0.54/1.09 thf(zip_derived_cl306, plain,
% 0.54/1.09 (~ (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (hAPP @ v_P____ @ v_x) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.54/1.09 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl280])).
% 0.54/1.09 thf(zip_derived_cl308, plain,
% 0.54/1.09 (~ (hBOOL @
% 0.54/1.09 (hAPP @ (hAPP @ v_P____ @ v_x) @
% 0.54/1.09 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.54/1.09 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl306])).
% 0.54/1.09 thf(zip_derived_cl279, plain,
% 0.54/1.09 ( (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (v_P_H____ @ v_x) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl255, zip_derived_cl43])).
% 0.54/1.09 thf(cls_iff_1, axiom,
% 0.54/1.09 (( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( hAPP @ v_P____ @ V_i ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.54/1.09 ( ~( hBOOL @
% 0.54/1.09 ( c_in @
% 0.54/1.09 ( c_Pair @
% 0.54/1.09 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.54/1.09 ( v_P_H____ @ V_i ) @
% 0.54/1.09 ( tc_prod @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 0.54/1.09 thf(zip_derived_cl42, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 ( (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (hAPP @ v_P____ @ X0) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.54/1.09 | ~ (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_b____ @ v_a____ @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (v_P_H____ @ X0) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.54/1.09 inference('cnf', [status(esa)], [cls_iff_1])).
% 0.54/1.09 thf(cls_mem__def_0, axiom,
% 0.54/1.09 (( hBOOL @ ( hAPP @ V_S @ V_x ) ) |
% 0.54/1.09 ( ~( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) ))).
% 0.54/1.09 thf(zip_derived_cl45, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 ( (hBOOL @ (hAPP @ X0 @ X1)) | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 0.54/1.09 inference('cnf', [status(esa)], [cls_mem__def_0])).
% 0.54/1.09 thf(zip_derived_cl224, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (~ (hBOOL @
% 0.54/1.09 (c_in @
% 0.54/1.09 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.54/1.09 (v_P_H____ @ X0) @
% 0.54/1.09 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))
% 0.54/1.09 | (hBOOL @
% 0.54/1.09 (hAPP @ (hAPP @ v_P____ @ X0) @
% 0.54/1.09 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.54/1.09 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl45])).
% 0.54/1.09 thf(zip_derived_cl289, plain,
% 0.54/1.09 ( (hBOOL @
% 0.54/1.09 (hAPP @ (hAPP @ v_P____ @ v_x) @
% 0.54/1.09 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.54/1.09 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.54/1.09 inference('sup-', [status(thm)], [zip_derived_cl279, zip_derived_cl224])).
% 0.54/1.09 thf(zip_derived_cl310, plain, ($false),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl308, zip_derived_cl289])).
% 0.54/1.09
% 0.54/1.09 % SZS output end Refutation
% 0.54/1.09
% 0.54/1.09
% 0.54/1.09 % Terminating...
% 0.54/1.15 % Runner terminated.
% 0.54/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------