%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT156+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yAERpDcVhR true
% Computer : n005.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 04:50:53 PM UTC 2025
% Result : Theorem 11.29s 2.29s
% Output : Refutation 11.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT156+1 : TPTP v9.2.0. Released v5.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yAERpDcVhR true
% 0.14/0.34 % Computer : n005.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 15:11:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 11.29/2.29 % Solved by fo/fo4.sh.
% 11.29/2.29 % done 567 iterations in 1.408s
% 11.29/2.29 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.29/2.29 % SZS output start Refutation
% 11.29/2.29 thf(v_a_H_____type, type, v_a_H____: $i).
% 11.29/2.29 thf(tc_Arrow__Order__Mirabelle_Oindi_type, type, tc_Arrow__Order__Mirabelle_Oindi:
% 11.29/2.29 $i).
% 11.29/2.29 thf(c_Arrow__Order__Mirabelle_OProf_type, type, c_Arrow__Order__Mirabelle_OProf:
% 11.29/2.29 $i).
% 11.29/2.29 thf(v_P_H_____type, type, v_P_H____: $i).
% 11.29/2.29 thf(c_member_type, type, c_member: $i > $i > $i > $o).
% 11.29/2.29 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $i > $i > $o).
% 11.29/2.29 thf(tc_HOL_Obool_type, type, tc_HOL_Obool: $i).
% 11.29/2.29 thf(v_P_____type, type, v_P____: $i).
% 11.29/2.29 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 11.29/2.29 thf(v_b_____type, type, v_b____: $i).
% 11.29/2.29 thf(v_a_____type, type, v_a____: $i).
% 11.29/2.29 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 11.29/2.29 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $i > $o).
% 11.29/2.29 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 11.29/2.29 $i).
% 11.29/2.29 thf(c_Product__Type_OPair_type, type, c_Product__Type_OPair: $i > $i > $i >
% 11.29/2.29 $i > $i).
% 11.29/2.29 thf(sk__1_type, type, sk__1: $i > $i > $i > $i > $i > $i).
% 11.29/2.29 thf(v_b_H_____type, type, v_b_H____: $i).
% 11.29/2.29 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 11.29/2.29 thf(v_F_type, type, v_F: $i).
% 11.29/2.29 thf(fact_A_I5_J, axiom,
% 11.29/2.29 (![B_i:$i]:
% 11.29/2.29 ( ( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 v_a____ @ v_b____ ) @
% 11.29/2.29 ( hAPP @ v_P____ @ B_i ) ) <=>
% 11.29/2.29 ( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 v_a_H____ @ v_b_H____ ) @
% 11.29/2.29 ( hAPP @ v_P_H____ @ B_i ) ) ))).
% 11.29/2.29 thf(zip_derived_cl5, plain,
% 11.29/2.29 (![X0 : $i]:
% 11.29/2.29 ( (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_P_H____ @ X0))
% 11.29/2.29 | ~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a____ @ v_b____) @
% 11.29/2.29 (hAPP @ v_P____ @ X0)))),
% 11.29/2.29 inference('cnf', [status(esa)], [fact_A_I5_J])).
% 11.29/2.29 thf(fact__096a_A_061_Ab_H_A_G_Ab_A_126_061_Aa_H_096, axiom,
% 11.29/2.29 (( ( v_b____ ) != ( v_a_H____ ) ) & ( ( v_a____ ) = ( v_b_H____ ) ))).
% 11.29/2.29 thf(zip_derived_cl4, plain, (((v_a____) = (v_b_H____))),
% 11.29/2.29 inference('cnf', [status(esa)],
% 11.29/2.29 [fact__096a_A_061_Ab_H_A_G_Ab_A_126_061_Aa_H_096])).
% 11.29/2.29 thf(zip_derived_cl52, plain,
% 11.29/2.29 (![X0 : $i]:
% 11.29/2.29 ( (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_P_H____ @ X0))
% 11.29/2.29 | ~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_b____) @
% 11.29/2.29 (hAPP @ v_P____ @ X0)))),
% 11.29/2.29 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 11.29/2.29 thf(fact__C4_C, axiom,
% 11.29/2.29 (![V_P_Ha_2:$i,V_Pa_2:$i,V_c_2:$i,V_ba_2:$i,V_aa_2:$i]:
% 11.29/2.29 ( ( ( V_aa_2 ) != ( V_ba_2 ) ) =>
% 11.29/2.29 ( ( ( V_ba_2 ) != ( V_c_2 ) ) =>
% 11.29/2.29 ( ( ( V_aa_2 ) != ( V_c_2 ) ) =>
% 11.29/2.29 ( ( c_member @
% 11.29/2.29 ( tc_fun @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oindi @
% 11.29/2.29 ( tc_fun @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 tc_HOL_Obool ) ) @
% 11.29/2.29 V_Pa_2 @ c_Arrow__Order__Mirabelle_OProf ) =>
% 11.29/2.29 ( ( c_member @
% 11.29/2.29 ( tc_fun @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oindi @
% 11.29/2.29 ( tc_fun @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 tc_HOL_Obool ) ) @
% 11.29/2.29 V_P_Ha_2 @ c_Arrow__Order__Mirabelle_OProf ) =>
% 11.29/2.29 ( ( ![B_i:$i]:
% 11.29/2.29 ( ( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ V_aa_2 @ V_ba_2 ) @
% 11.29/2.29 ( hAPP @ V_Pa_2 @ B_i ) ) <=>
% 11.29/2.29 ( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ V_ba_2 @ V_c_2 ) @
% 11.29/2.29 ( hAPP @ V_P_Ha_2 @ B_i ) ) ) ) =>
% 11.29/2.29 ( ( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ V_aa_2 @ V_ba_2 ) @
% 11.29/2.29 ( hAPP @ v_F @ V_Pa_2 ) ) <=>
% 11.29/2.29 ( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ V_ba_2 @ V_c_2 ) @
% 11.29/2.29 ( hAPP @ v_F @ V_P_Ha_2 ) ) ) ) ) ) ) ) ))).
% 11.29/2.29 thf(zf_stmt_0, axiom,
% 11.29/2.29 (![B_i:$i,V_aa_2:$i,V_ba_2:$i,V_c_2:$i,V_Pa_2:$i,V_P_Ha_2:$i]:
% 11.29/2.29 ( ( ( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ V_aa_2 @ V_ba_2 ) @
% 11.29/2.29 ( hAPP @ V_Pa_2 @ B_i ) ) <=>
% 11.29/2.29 ( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ V_ba_2 @ V_c_2 ) @
% 11.29/2.29 ( hAPP @ V_P_Ha_2 @ B_i ) ) ) =>
% 11.29/2.29 ( zip_tseitin_2 @ B_i @ V_aa_2 @ V_ba_2 @ V_c_2 @ V_Pa_2 @ V_P_Ha_2 ) ))).
% 11.29/2.29 thf(zip_derived_cl17, plain,
% 11.29/2.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 11.29/2.29 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 11.29/2.29 | (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ X2 @ X3) @
% 11.29/2.29 (hAPP @ X5 @ X0))
% 11.29/2.29 | (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X2) @
% 11.29/2.29 (hAPP @ X4 @ X0)))),
% 11.29/2.29 inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.29/2.29 thf(zip_derived_cl16, plain,
% 11.29/2.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 11.29/2.29 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 11.29/2.29 | ~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ X2 @ X3) @
% 11.29/2.29 (hAPP @ X5 @ X0))
% 11.29/2.29 | ~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X2) @
% 11.29/2.29 (hAPP @ X4 @ X0)))),
% 11.29/2.29 inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.29/2.29 thf(zip_derived_cl6, plain,
% 11.29/2.29 (![X0 : $i]:
% 11.29/2.29 ( (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a____ @ v_b____) @
% 11.29/2.29 (hAPP @ v_P____ @ X0))
% 11.29/2.29 | ~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_P_H____ @ X0)))),
% 11.29/2.29 inference('cnf', [status(esa)], [fact_A_I5_J])).
% 11.29/2.29 thf(zip_derived_cl4, plain, (((v_a____) = (v_b_H____))),
% 11.29/2.29 inference('cnf', [status(esa)],
% 11.29/2.29 [fact__096a_A_061_Ab_H_A_G_Ab_A_126_061_Aa_H_096])).
% 11.29/2.29 thf(zip_derived_cl70, plain,
% 11.29/2.29 (![X0 : $i]:
% 11.29/2.29 ( (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_b____) @
% 11.29/2.29 (hAPP @ v_P____ @ X0))
% 11.29/2.29 | ~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_P_H____ @ X0)))),
% 11.29/2.29 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 11.29/2.29 thf(zip_derived_cl73, plain,
% 11.29/2.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.29/2.29 (~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ X2 @ v_b_H____) @
% 11.29/2.29 (hAPP @ X1 @ X0))
% 11.29/2.29 | (zip_tseitin_2 @ X0 @ X2 @ v_b_H____ @ v_b____ @ X1 @ v_P____)
% 11.29/2.29 | ~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_P_H____ @ X0)))),
% 11.29/2.29 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl70])).
% 11.29/2.29 thf(zip_derived_cl87, plain,
% 11.29/2.29 (![X0 : $i]:
% 11.29/2.29 (~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_P_H____ @ X0))
% 11.29/2.29 | (zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_b____ @
% 11.29/2.29 v_P_H____ @ v_P____))),
% 11.29/2.29 inference('eq_fact', [status(thm)], [zip_derived_cl73])).
% 11.29/2.29 thf(zip_derived_cl146, plain,
% 11.29/2.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.29/2.29 ( (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ X2) @
% 11.29/2.29 (hAPP @ X1 @ X0))
% 11.29/2.29 | (zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ X2 @ v_P_H____ @ X1)
% 11.29/2.29 | (zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_b____ @
% 11.29/2.29 v_P_H____ @ v_P____))),
% 11.29/2.29 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl87])).
% 11.29/2.29 thf(zip_derived_cl1570, plain,
% 11.29/2.29 (![X0 : $i]:
% 11.29/2.29 ( (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_P_H____ @ X0))
% 11.29/2.29 | (zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_b____ @
% 11.29/2.29 v_P_H____ @ v_P____)
% 11.29/2.29 | (zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_b____ @
% 11.29/2.29 v_P_H____ @ v_P____))),
% 11.29/2.29 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl146])).
% 11.29/2.29 thf(zip_derived_cl1575, plain,
% 11.29/2.29 (![X0 : $i]:
% 11.29/2.29 ( (zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_b____ @ v_P_H____ @
% 11.29/2.29 v_P____)
% 11.29/2.29 | (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_P_H____ @ X0)))),
% 11.29/2.29 inference('simplify', [status(thm)], [zip_derived_cl1570])).
% 11.29/2.29 thf(zip_derived_cl87, plain,
% 11.29/2.29 (![X0 : $i]:
% 11.29/2.29 (~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_P_H____ @ X0))
% 11.29/2.29 | (zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_b____ @
% 11.29/2.29 v_P_H____ @ v_P____))),
% 11.29/2.29 inference('eq_fact', [status(thm)], [zip_derived_cl73])).
% 11.29/2.29 thf(zip_derived_cl1577, plain,
% 11.29/2.29 (![X0 : $i]:
% 11.29/2.29 (zip_tseitin_2 @ X0 @ v_a_H____ @ v_b_H____ @ v_b____ @ v_P_H____ @
% 11.29/2.29 v_P____)),
% 11.29/2.29 inference('clc', [status(thm)], [zip_derived_cl1575, zip_derived_cl87])).
% 11.29/2.29 thf(zf_stmt_1, type, zip_tseitin_3 : $i > $i > $i > $i > $i > $o).
% 11.29/2.29 thf(zf_stmt_2, axiom,
% 11.29/2.29 (![V_aa_2:$i,V_ba_2:$i,V_c_2:$i,V_Pa_2:$i,V_P_Ha_2:$i]:
% 11.29/2.29 ( ( zip_tseitin_3 @ V_aa_2 @ V_ba_2 @ V_c_2 @ V_Pa_2 @ V_P_Ha_2 ) =>
% 11.29/2.29 ( ( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ V_aa_2 @ V_ba_2 ) @
% 11.29/2.29 ( hAPP @ v_F @ V_Pa_2 ) ) <=>
% 11.29/2.29 ( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ V_ba_2 @ V_c_2 ) @
% 11.29/2.29 ( hAPP @ v_F @ V_P_Ha_2 ) ) ) ))).
% 11.29/2.29 thf(zf_stmt_3, type, zip_tseitin_2 : $i > $i > $i > $i > $i > $i > $o).
% 11.29/2.29 thf(zf_stmt_4, axiom,
% 11.29/2.29 (![V_P_Ha_2:$i,V_Pa_2:$i,V_c_2:$i,V_ba_2:$i,V_aa_2:$i]:
% 11.29/2.29 ( ( ( V_aa_2 ) != ( V_ba_2 ) ) =>
% 11.29/2.29 ( ( ( V_ba_2 ) != ( V_c_2 ) ) =>
% 11.29/2.29 ( ( ( V_aa_2 ) != ( V_c_2 ) ) =>
% 11.29/2.29 ( ( c_member @
% 11.29/2.29 ( tc_fun @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oindi @
% 11.29/2.29 ( tc_fun @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 tc_HOL_Obool ) ) @
% 11.29/2.29 V_Pa_2 @ c_Arrow__Order__Mirabelle_OProf ) =>
% 11.29/2.29 ( ( c_member @
% 11.29/2.29 ( tc_fun @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oindi @
% 11.29/2.29 ( tc_fun @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 tc_HOL_Obool ) ) @
% 11.29/2.29 V_P_Ha_2 @ c_Arrow__Order__Mirabelle_OProf ) =>
% 11.29/2.29 ( ( ![B_i:$i]:
% 11.29/2.29 ( zip_tseitin_2 @
% 11.29/2.29 B_i @ V_aa_2 @ V_ba_2 @ V_c_2 @ V_Pa_2 @ V_P_Ha_2 ) ) =>
% 11.29/2.29 ( zip_tseitin_3 @ V_aa_2 @ V_ba_2 @ V_c_2 @ V_Pa_2 @ V_P_Ha_2 ) ) ) ) ) ) ))).
% 11.29/2.29 thf(zip_derived_cl20, plain,
% 11.29/2.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 11.29/2.29 (((X1) = (X0))
% 11.29/2.29 | ~ (c_member @
% 11.29/2.29 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 11.29/2.29 (tc_fun @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 tc_HOL_Obool)) @
% 11.29/2.29 X2 @ c_Arrow__Order__Mirabelle_OProf)
% 11.29/2.29 | ~ (c_member @
% 11.29/2.29 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 11.29/2.29 (tc_fun @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 tc_HOL_Obool)) @
% 11.29/2.29 X3 @ c_Arrow__Order__Mirabelle_OProf)
% 11.29/2.29 | ((X4) = (X1))
% 11.29/2.29 | ((X4) = (X0))
% 11.29/2.29 | (zip_tseitin_3 @ X4 @ X1 @ X0 @ X2 @ X3)
% 11.29/2.29 | ~ (zip_tseitin_2 @ (sk__1 @ X4 @ X1 @ X0 @ X2 @ X3) @ X4 @ X1 @
% 11.29/2.29 X0 @ X2 @ X3))),
% 11.29/2.29 inference('cnf', [status(esa)], [zf_stmt_4])).
% 11.29/2.29 thf(zip_derived_cl1578, plain,
% 11.29/2.29 (( (zip_tseitin_3 @ v_a_H____ @ v_b_H____ @ v_b____ @ v_P_H____ @ v_P____)
% 11.29/2.29 | ((v_a_H____) = (v_b____))
% 11.29/2.29 | ((v_a_H____) = (v_b_H____))
% 11.29/2.29 | ~ (c_member @
% 11.29/2.29 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 11.29/2.29 (tc_fun @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 tc_HOL_Obool)) @
% 11.29/2.29 v_P____ @ c_Arrow__Order__Mirabelle_OProf)
% 11.29/2.29 | ~ (c_member @
% 11.29/2.29 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 11.29/2.29 (tc_fun @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 tc_HOL_Obool)) @
% 11.29/2.29 v_P_H____ @ c_Arrow__Order__Mirabelle_OProf)
% 11.29/2.29 | ((v_b_H____) = (v_b____)))),
% 11.29/2.29 inference('sup-', [status(thm)], [zip_derived_cl1577, zip_derived_cl20])).
% 11.29/2.29 thf(fact_A_I3_J, axiom,
% 11.29/2.29 (c_member @
% 11.29/2.29 ( tc_fun @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oindi @
% 11.29/2.29 ( tc_fun @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 tc_HOL_Obool ) ) @
% 11.29/2.29 v_P____ @ c_Arrow__Order__Mirabelle_OProf)).
% 11.29/2.29 thf(zip_derived_cl9, plain,
% 11.29/2.29 ( (c_member @
% 11.29/2.29 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 11.29/2.29 (tc_fun @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 tc_HOL_Obool)) @
% 11.29/2.29 v_P____ @ c_Arrow__Order__Mirabelle_OProf)),
% 11.29/2.29 inference('cnf', [status(esa)], [fact_A_I3_J])).
% 11.29/2.29 thf(fact_A_I4_J, axiom,
% 11.29/2.29 (c_member @
% 11.29/2.29 ( tc_fun @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oindi @
% 11.29/2.29 ( tc_fun @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 tc_HOL_Obool ) ) @
% 11.29/2.29 v_P_H____ @ c_Arrow__Order__Mirabelle_OProf)).
% 11.29/2.29 thf(zip_derived_cl10, plain,
% 11.29/2.29 ( (c_member @
% 11.29/2.29 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 11.29/2.29 (tc_fun @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 tc_HOL_Obool)) @
% 11.29/2.29 v_P_H____ @ c_Arrow__Order__Mirabelle_OProf)),
% 11.29/2.29 inference('cnf', [status(esa)], [fact_A_I4_J])).
% 11.29/2.29 thf(zip_derived_cl1579, plain,
% 11.29/2.29 (( (zip_tseitin_3 @ v_a_H____ @ v_b_H____ @ v_b____ @ v_P_H____ @ v_P____)
% 11.29/2.29 | ((v_a_H____) = (v_b____))
% 11.29/2.29 | ((v_a_H____) = (v_b_H____))
% 11.29/2.29 | ((v_b_H____) = (v_b____)))),
% 11.29/2.29 inference('demod', [status(thm)],
% 11.29/2.29 [zip_derived_cl1578, zip_derived_cl9, zip_derived_cl10])).
% 11.29/2.29 thf(fact_A_I1_J, axiom, (( v_a____ ) != ( v_b____ ))).
% 11.29/2.29 thf(zip_derived_cl1, plain, (((v_a____) != (v_b____))),
% 11.29/2.29 inference('cnf', [status(esa)], [fact_A_I1_J])).
% 11.29/2.29 thf(zip_derived_cl4, plain, (((v_a____) = (v_b_H____))),
% 11.29/2.29 inference('cnf', [status(esa)],
% 11.29/2.29 [fact__096a_A_061_Ab_H_A_G_Ab_A_126_061_Aa_H_096])).
% 11.29/2.29 thf(zip_derived_cl45, plain, (((v_b_H____) != (v_b____))),
% 11.29/2.29 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 11.29/2.29 thf(fact_A_I2_J, axiom, (( v_a_H____ ) != ( v_b_H____ ))).
% 11.29/2.29 thf(zip_derived_cl2, plain, (((v_a_H____) != (v_b_H____))),
% 11.29/2.29 inference('cnf', [status(esa)], [fact_A_I2_J])).
% 11.29/2.29 thf(zip_derived_cl3, plain, (((v_b____) != (v_a_H____))),
% 11.29/2.29 inference('cnf', [status(esa)],
% 11.29/2.29 [fact__096a_A_061_Ab_H_A_G_Ab_A_126_061_Aa_H_096])).
% 11.29/2.29 thf(zip_derived_cl1580, plain,
% 11.29/2.29 ( (zip_tseitin_3 @ v_a_H____ @ v_b_H____ @ v_b____ @ v_P_H____ @ v_P____)),
% 11.29/2.29 inference('simplify_reflect-', [status(thm)],
% 11.29/2.29 [zip_derived_cl1579, zip_derived_cl45, zip_derived_cl2,
% 11.29/2.29 zip_derived_cl3])).
% 11.29/2.29 thf(conj_0, conjecture,
% 11.29/2.29 (( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 v_a____ @ v_b____ ) @
% 11.29/2.29 ( hAPP @ v_F @ v_P____ ) ) <=>
% 11.29/2.29 ( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 v_a_H____ @ v_b_H____ ) @
% 11.29/2.29 ( hAPP @ v_F @ v_P_H____ ) ))).
% 11.29/2.29 thf(zf_stmt_5, negated_conjecture,
% 11.29/2.29 (~( ( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a____ @ v_b____ ) @
% 11.29/2.29 ( hAPP @ v_F @ v_P____ ) ) <=>
% 11.29/2.29 ( c_member @
% 11.29/2.29 ( tc_prod @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 11.29/2.29 ( c_Product__Type_OPair @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____ ) @
% 11.29/2.29 ( hAPP @ v_F @ v_P_H____ ) ) )),
% 11.29/2.29 inference('cnf.neg', [status(esa)], [conj_0])).
% 11.29/2.29 thf(zip_derived_cl43, plain,
% 11.29/2.29 (( (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_F @ v_P_H____))
% 11.29/2.29 | (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a____ @ v_b____) @
% 11.29/2.29 (hAPP @ v_F @ v_P____)))),
% 11.29/2.29 inference('cnf', [status(esa)], [zf_stmt_5])).
% 11.29/2.29 thf(zip_derived_cl4, plain, (((v_a____) = (v_b_H____))),
% 11.29/2.29 inference('cnf', [status(esa)],
% 11.29/2.29 [fact__096a_A_061_Ab_H_A_G_Ab_A_126_061_Aa_H_096])).
% 11.29/2.29 thf(zip_derived_cl62, plain,
% 11.29/2.29 (( (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_F @ v_P_H____))
% 11.29/2.29 | (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_b____) @
% 11.29/2.29 (hAPP @ v_F @ v_P____)))),
% 11.29/2.29 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl4])).
% 11.29/2.29 thf(zip_derived_cl18, plain,
% 11.29/2.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 11.29/2.29 (~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X1) @
% 11.29/2.29 (hAPP @ v_F @ X2))
% 11.29/2.29 | (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ X3 @ X0) @
% 11.29/2.29 (hAPP @ v_F @ X4))
% 11.29/2.29 | ~ (zip_tseitin_3 @ X3 @ X0 @ X1 @ X4 @ X2))),
% 11.29/2.29 inference('cnf', [status(esa)], [zf_stmt_2])).
% 11.29/2.29 thf(zip_derived_cl89, plain,
% 11.29/2.29 (![X0 : $i, X1 : $i]:
% 11.29/2.29 ( (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_F @ v_P_H____))
% 11.29/2.29 | ~ (zip_tseitin_3 @ X1 @ v_b_H____ @ v_b____ @ X0 @ v_P____)
% 11.29/2.29 | (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ X1 @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_F @ X0)))),
% 11.29/2.29 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl18])).
% 11.29/2.29 thf(zip_derived_cl1581, plain,
% 11.29/2.29 (( (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_F @ v_P_H____))
% 11.29/2.29 | (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_F @ v_P_H____)))),
% 11.29/2.29 inference('sup-', [status(thm)], [zip_derived_cl1580, zip_derived_cl89])).
% 11.29/2.29 thf(zip_derived_cl1583, plain,
% 11.29/2.29 ( (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_F @ v_P_H____))),
% 11.29/2.29 inference('simplify', [status(thm)], [zip_derived_cl1581])).
% 11.29/2.29 thf(zip_derived_cl19, plain,
% 11.29/2.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 11.29/2.29 (~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X1) @
% 11.29/2.29 (hAPP @ v_F @ X2))
% 11.29/2.29 | (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X3) @
% 11.29/2.29 (hAPP @ v_F @ X4))
% 11.29/2.29 | ~ (zip_tseitin_3 @ X0 @ X1 @ X3 @ X2 @ X4))),
% 11.29/2.29 inference('cnf', [status(esa)], [zf_stmt_2])).
% 11.29/2.29 thf(zip_derived_cl1588, plain,
% 11.29/2.29 (![X0 : $i, X1 : $i]:
% 11.29/2.29 (~ (zip_tseitin_3 @ v_a_H____ @ v_b_H____ @ X1 @ v_P_H____ @ X0)
% 11.29/2.29 | (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ X1) @
% 11.29/2.29 (hAPP @ v_F @ X0)))),
% 11.29/2.29 inference('sup-', [status(thm)], [zip_derived_cl1583, zip_derived_cl19])).
% 11.29/2.29 thf(zip_derived_cl44, plain,
% 11.29/2.29 ((~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_F @ v_P_H____))
% 11.29/2.29 | ~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a____ @ v_b____) @
% 11.29/2.29 (hAPP @ v_F @ v_P____)))),
% 11.29/2.29 inference('cnf', [status(esa)], [zf_stmt_5])).
% 11.29/2.29 thf(zip_derived_cl4, plain, (((v_a____) = (v_b_H____))),
% 11.29/2.29 inference('cnf', [status(esa)],
% 11.29/2.29 [fact__096a_A_061_Ab_H_A_G_Ab_A_126_061_Aa_H_096])).
% 11.29/2.29 thf(zip_derived_cl53, plain,
% 11.29/2.29 ((~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_F @ v_P_H____))
% 11.29/2.29 | ~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_b____) @
% 11.29/2.29 (hAPP @ v_F @ v_P____)))),
% 11.29/2.29 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl4])).
% 11.29/2.29 thf(zip_derived_cl1583, plain,
% 11.29/2.29 ( (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_a_H____ @ v_b_H____) @
% 11.29/2.29 (hAPP @ v_F @ v_P_H____))),
% 11.29/2.29 inference('simplify', [status(thm)], [zip_derived_cl1581])).
% 11.29/2.29 thf(zip_derived_cl1584, plain,
% 11.29/2.29 (~ (c_member @
% 11.29/2.29 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt) @
% 11.29/2.29 (c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @
% 11.29/2.29 tc_Arrow__Order__Mirabelle_Oalt @ v_b_H____ @ v_b____) @
% 11.29/2.29 (hAPP @ v_F @ v_P____))),
% 11.29/2.29 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl1583])).
% 11.29/2.29 thf(zip_derived_cl2594, plain,
% 11.29/2.29 (~ (zip_tseitin_3 @ v_a_H____ @ v_b_H____ @ v_b____ @ v_P_H____ @ v_P____)),
% 11.29/2.29 inference('sup-', [status(thm)], [zip_derived_cl1588, zip_derived_cl1584])).
% 11.29/2.29 thf(zip_derived_cl1580, plain,
% 11.29/2.29 ( (zip_tseitin_3 @ v_a_H____ @ v_b_H____ @ v_b____ @ v_P_H____ @ v_P____)),
% 11.29/2.29 inference('simplify_reflect-', [status(thm)],
% 11.29/2.29 [zip_derived_cl1579, zip_derived_cl45, zip_derived_cl2,
% 11.29/2.29 zip_derived_cl3])).
% 11.29/2.29 thf(zip_derived_cl2638, plain, ($false),
% 11.29/2.29 inference('demod', [status(thm)],
% 11.29/2.29 [zip_derived_cl2594, zip_derived_cl1580])).
% 11.29/2.29
% 11.29/2.29 % SZS output end Refutation
% 11.29/2.29
% 11.29/2.29
% 11.29/2.29 % Terminating...
% 11.83/2.37 % Runner terminated.
% 11.83/2.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------