TSTP Solution File: LCL443-10 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : LCL443-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 08:19:00 EDT 2023
% Result : Unsatisfiable 0.18s 0.46s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL443-10 : TPTP v8.1.2. Released v7.3.0.
% 0.10/0.12 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 18:52:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Command-line arguments: --no-flatten-goal
% 0.18/0.46
% 0.18/0.46 % SZS status Unsatisfiable
% 0.18/0.46
% 0.18/0.47 % SZS output start Proof
% 0.18/0.47 Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.18/0.47 Axiom 2 (cls_Set_OinsertCI_1): c_in(X, c_insert(X, Y, Z), Z) = true.
% 0.18/0.47 Axiom 3 (cls_conjecture_0): c_in(v_p, c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)) = true.
% 0.18/0.47 Axiom 4 (cls_conjecture_1): c_in(c_PropLog_Opl_Oop_A_N_62(v_q, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)) = true.
% 0.18/0.47 Axiom 5 (cls_PropLog_Othms_OH_0): ifeq(c_in(X, Y, tc_PropLog_Opl(Z)), true, c_in(X, c_PropLog_Othms(Y, Z), tc_PropLog_Opl(Z)), true) = true.
% 0.18/0.47 Axiom 6 (cls_PropLog_Oweaken__left__insert_0): ifeq(c_in(X, c_PropLog_Othms(Y, Z), tc_PropLog_Opl(Z)), true, c_in(X, c_PropLog_Othms(c_insert(W, Y, tc_PropLog_Opl(Z)), Z), tc_PropLog_Opl(Z)), true) = true.
% 0.18/0.47 Axiom 7 (cls_PropLog_Odeduction_0): ifeq(c_in(X, c_PropLog_Othms(c_insert(Y, Z, tc_PropLog_Opl(W)), W), tc_PropLog_Opl(W)), true, c_in(c_PropLog_Opl_Oop_A_N_62(Y, X, W), c_PropLog_Othms(Z, W), tc_PropLog_Opl(W)), true) = true.
% 0.18/0.47 Axiom 8 (cls_PropLog_Othms_OMP_0): ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(X, Y, Z), c_PropLog_Othms(W, Z), tc_PropLog_Opl(Z)), true, ifeq(c_in(X, c_PropLog_Othms(W, Z), tc_PropLog_Opl(Z)), true, c_in(Y, c_PropLog_Othms(W, Z), tc_PropLog_Opl(Z)), true), true) = true.
% 0.18/0.47
% 0.18/0.47 Goal 1 (cls_conjecture_2): c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)) = true.
% 0.18/0.47 Proof:
% 0.18/0.47 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a))
% 0.18/0.47 = { by axiom 1 (ifeq_axiom) R->L }
% 0.18/0.47 ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 8 (cls_PropLog_Othms_OMP_0) R->L }
% 0.18/0.47 ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_q, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, ifeq(c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 1 (ifeq_axiom) R->L }
% 0.18/0.47 ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(v_q, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 4 (cls_conjecture_1) R->L }
% 0.18/0.47 ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_q, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_q, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 6 (cls_PropLog_Oweaken__left__insert_0) }
% 0.18/0.47 ifeq(ifeq(true, true, ifeq(c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 1 (ifeq_axiom) }
% 0.18/0.47 ifeq(ifeq(c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 1 (ifeq_axiom) R->L }
% 0.18/0.47 ifeq(ifeq(ifeq(true, true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 6 (cls_PropLog_Oweaken__left__insert_0) R->L }
% 0.18/0.47 ifeq(ifeq(ifeq(ifeq(c_in(v_p, c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 3 (cls_conjecture_0) }
% 0.18/0.47 ifeq(ifeq(ifeq(ifeq(true, true, c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 1 (ifeq_axiom) }
% 0.18/0.47 ifeq(ifeq(ifeq(c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 1 (ifeq_axiom) R->L }
% 0.18/0.47 ifeq(ifeq(ifeq(true, true, ifeq(c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 5 (cls_PropLog_Othms_OH_0) R->L }
% 0.18/0.47 ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 2 (cls_Set_OinsertCI_1) }
% 0.18/0.47 ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 1 (ifeq_axiom) }
% 0.18/0.47 ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, ifeq(c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 8 (cls_PropLog_Othms_OMP_0) }
% 0.18/0.47 ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 1 (ifeq_axiom) }
% 0.18/0.47 ifeq(c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 0.18/0.47 = { by axiom 7 (cls_PropLog_Odeduction_0) }
% 0.18/0.47 true
% 0.18/0.47 % SZS output end Proof
% 0.18/0.47
% 0.18/0.47 RESULT: Unsatisfiable (the axioms are contradictory).
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