TSTP Solution File: SCT146+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SCT146+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 : 600s
% DateTime : Mon Jul 18 21:46:06 EDT 2022
% Result : Theorem 32.06s 31.49s
% Output : Proof 32.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT146+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 1 21:00:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 32.06/31.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.06/31.50 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.06/31.51
% 32.06/31.51 %-----------------------------------------------------
% 32.06/31.51 fof(conj_0, conjecture, ! [_349181] : (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _349181)), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____))) <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _349181)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 32.06/31.51 fof(fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_096, axiom, ! [_350185] : (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _350185))) <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _350185)), v_c____), v_b____)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_096)).
% 32.06/31.51 fof(fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_096, axiom, ! [_350608] : (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _350608)), v_c____), v_b____))) <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _350608)), v_c____), v_b____)), v_b____), v_a____)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_096)).
% 32.06/31.51 fof(fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_096, axiom, ! [_351127] : (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _351127)), v_c____), v_b____)), v_b____), v_a____))) <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _351127)), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_096)).
% 32.06/31.51
% 32.06/31.51 cnf(1, plain, [-(271 ^ []), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))], clausify(conj_0)).
% 32.06/31.51 cnf(2, plain, [-(271 ^ []), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 269 ^ []))))], clausify(conj_0)).
% 32.06/31.51 cnf(3, plain, [-(270 ^ []), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 269 ^ [])))], clausify(conj_0)).
% 32.06/31.51 cnf(4, plain, [-(270 ^ []), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____))))], clausify(conj_0)).
% 32.06/31.51 cnf(5, plain, [270 ^ [], 271 ^ []], clausify(conj_0)).
% 32.06/31.51 cnf(6, plain, [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _50973))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _50973)), v_c____), v_b____))))], clausify(fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_096)).
% 32.06/31.51 cnf(7, plain, [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _50973)))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _50973)), v_c____), v_b____)))], clausify(fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_096)).
% 32.06/31.51 cnf(8, plain, [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _51057)), v_c____), v_b____))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _51057)), v_c____), v_b____)), v_b____), v_a____))))], clausify(fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_096)).
% 32.06/31.51 cnf(9, plain, [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _51057)), v_c____), v_b____)))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _51057)), v_c____), v_b____)), v_b____), v_a____)))], clausify(fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_096)).
% 32.06/31.51 cnf(10, plain, [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _51159)), v_c____), v_b____)), v_b____), v_a____))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _51159)), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____))))], clausify(fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_096)).
% 32.06/31.51 cnf(11, plain, [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _51159)), v_c____), v_b____)), v_b____), v_a____)))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, _51159)), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))], clausify(fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_096)).
% 32.06/31.51
% 32.06/31.51 cnf('1',plain,[270 ^ [], 271 ^ []],start(5)).
% 32.06/31.51 cnf('1.1',plain,[-(270 ^ []), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 269 ^ [])))],extension(3)).
% 32.06/31.51 cnf('1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 269 ^ [])))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)))],extension(7,bind([[_50973], [269 ^ []]]))).
% 32.06/31.51 cnf('1.1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)), v_b____), v_a____)))],extension(9,bind([[_51057], [269 ^ []]]))).
% 32.06/31.51 cnf('1.1.1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)), v_b____), v_a____)))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))],extension(11,bind([[_51159], [269 ^ []]]))).
% 32.06/31.51 cnf('1.1.1.1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))), -(270 ^ [])],extension(4)).
% 32.06/31.51 cnf('1.1.1.1.1.1.1',plain,[270 ^ []],reduction('1')).
% 32.06/31.51 cnf('1.2',plain,[-(271 ^ []), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))],extension(1)).
% 32.06/31.51 cnf('1.2.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_a____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)), v_b____), v_a____)), v_a____), v_c____)))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)), v_b____), v_a____)))],extension(10,bind([[_51159], [269 ^ []]]))).
% 32.06/31.51 cnf('1.2.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)), v_b____), v_a____)))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)))],extension(8,bind([[_51057], [269 ^ []]]))).
% 32.06/31.51 cnf('1.2.1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_c____)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow, hAPP(v_P____, 269 ^ [])), v_c____), v_b____)))), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 269 ^ [])))],extension(6,bind([[_50973], [269 ^ []]]))).
% 32.06/31.51 cnf('1.2.1.1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, 269 ^ [])))), -(271 ^ [])],extension(2)).
% 32.06/31.51 cnf('1.2.1.1.1.1.1',plain,[271 ^ []],reduction('1')).
% 32.06/31.51 %-----------------------------------------------------
% 32.06/31.51
% 32.06/31.51 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------