%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:27:52 PM UTC 2026
% Result : Theorem 29.67s 4.06s
% Output : Proof 29.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW951+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.21 % Computer : n011.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Mon Sep 28 14:47:30 UTC 2026
% 0.07/0.22 % CPUTime :
% 0.07/0.22 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.67/4.06 Command-line arguments: --flatten --complete-subsets
% 29.67/4.06
% 29.67/4.06 % SZS status Theorem
% 29.67/4.06
% 29.67/4.08 % SZS output start Proof
% 29.67/4.08 Axiom 1 (ax41): pred_attacker(tuple_true) = true.
% 29.67/4.08 Axiom 2 (ax57): pred_attacker(constr_CONST_0x30) = true.
% 29.67/4.08 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 29.67/4.08 Axiom 4 (ax49): ifeq(pred_attacker(X), true, pred_attacker(tuple_T_in_3(X)), true) = true.
% 29.67/4.08 Axiom 5 (ax51): ifeq(pred_attacker(X), true, pred_attacker(tuple_T_in_1(X)), true) = true.
% 29.67/4.08 Axiom 6 (ax46): ifeq(pred_attacker(tuple_T_out_4(X)), true, pred_attacker(X), true) = true.
% 29.67/4.08 Axiom 7 (ax64): ifeq(pred_attacker(tuple_T_in_1(X)), true, ifeq(pred_attacker(tuple_T_in_3(Y)), true, pred_attacker(tuple_T_out_4(name_objective)), true), true) = true.
% 29.67/4.08
% 29.67/4.08 Lemma 8: pred_attacker(constr_CONST_0x30) = pred_attacker(tuple_true).
% 29.67/4.08 Proof:
% 29.67/4.08 pred_attacker(constr_CONST_0x30)
% 29.67/4.08 = { by axiom 2 (ax57) }
% 29.67/4.08 true
% 29.67/4.08 = { by axiom 1 (ax41) R->L }
% 29.67/4.08 pred_attacker(tuple_true)
% 29.67/4.08
% 29.67/4.08 Goal 1 (co0): pred_attacker(name_objective) = true.
% 29.67/4.08 Proof:
% 29.67/4.08 pred_attacker(name_objective)
% 29.67/4.08 = { by axiom 3 (ifeq_axiom) R->L }
% 29.67/4.08 ifeq(pred_attacker(constr_CONST_0x30), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.08 = { by lemma 8 }
% 29.67/4.08 ifeq(pred_attacker(tuple_true), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.08 = { by axiom 1 (ax41) }
% 29.67/4.08 ifeq(true, pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.08 = { by axiom 7 (ax64) R->L }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), true, ifeq(pred_attacker(tuple_T_in_3(tuple_true)), true, pred_attacker(tuple_T_out_4(name_objective)), true), true), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by axiom 1 (ax41) R->L }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), true, ifeq(pred_attacker(tuple_T_in_3(tuple_true)), true, pred_attacker(tuple_T_out_4(name_objective)), true), pred_attacker(tuple_true)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by axiom 1 (ax41) R->L }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), true, ifeq(pred_attacker(tuple_T_in_3(tuple_true)), true, pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(tuple_true)), pred_attacker(tuple_true)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by axiom 1 (ax41) R->L }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), true, ifeq(pred_attacker(tuple_T_in_3(tuple_true)), pred_attacker(tuple_true), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(tuple_true)), pred_attacker(tuple_true)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by axiom 1 (ax41) R->L }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(tuple_true), ifeq(pred_attacker(tuple_T_in_3(tuple_true)), pred_attacker(tuple_true), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(tuple_true)), pred_attacker(tuple_true)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by lemma 8 R->L }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(tuple_true), ifeq(pred_attacker(tuple_T_in_3(tuple_true)), pred_attacker(tuple_true), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(tuple_true)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by lemma 8 R->L }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(tuple_true), ifeq(pred_attacker(tuple_T_in_3(tuple_true)), pred_attacker(tuple_true), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by lemma 8 R->L }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(tuple_true), ifeq(pred_attacker(tuple_T_in_3(tuple_true)), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by lemma 8 R->L }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30), ifeq(pred_attacker(tuple_T_in_3(tuple_true)), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by axiom 3 (ifeq_axiom) R->L }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30), ifeq(ifeq(pred_attacker(constr_CONST_0x30), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_in_3(tuple_true)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by lemma 8 }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30), ifeq(ifeq(pred_attacker(tuple_true), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_in_3(tuple_true)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by lemma 8 }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30), ifeq(ifeq(pred_attacker(tuple_true), pred_attacker(tuple_true), pred_attacker(tuple_T_in_3(tuple_true)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by lemma 8 }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30), ifeq(ifeq(pred_attacker(tuple_true), pred_attacker(tuple_true), pred_attacker(tuple_T_in_3(tuple_true)), pred_attacker(tuple_true)), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by axiom 1 (ax41) }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30), ifeq(ifeq(pred_attacker(tuple_true), true, pred_attacker(tuple_T_in_3(tuple_true)), pred_attacker(tuple_true)), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by axiom 1 (ax41) }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30), ifeq(ifeq(pred_attacker(tuple_true), true, pred_attacker(tuple_T_in_3(tuple_true)), true), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by axiom 4 (ax49) }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30), ifeq(true, pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by axiom 1 (ax41) R->L }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30), ifeq(pred_attacker(tuple_true), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by lemma 8 R->L }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30), ifeq(pred_attacker(constr_CONST_0x30), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by axiom 3 (ifeq_axiom) }
% 29.67/4.09 ifeq(ifeq(pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.09 = { by axiom 3 (ifeq_axiom) R->L }
% 29.67/4.09 ifeq(ifeq(ifeq(pred_attacker(constr_CONST_0x30), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.10 = { by lemma 8 }
% 29.67/4.10 ifeq(ifeq(ifeq(pred_attacker(tuple_true), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.10 = { by lemma 8 }
% 29.67/4.10 ifeq(ifeq(ifeq(pred_attacker(tuple_true), pred_attacker(tuple_true), pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.10 = { by lemma 8 }
% 29.67/4.10 ifeq(ifeq(ifeq(pred_attacker(tuple_true), pred_attacker(tuple_true), pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(tuple_true)), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.10 = { by axiom 1 (ax41) }
% 29.67/4.10 ifeq(ifeq(ifeq(pred_attacker(tuple_true), true, pred_attacker(tuple_T_in_1(tuple_true)), pred_attacker(tuple_true)), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.10 = { by axiom 1 (ax41) }
% 29.67/4.10 ifeq(ifeq(ifeq(pred_attacker(tuple_true), true, pred_attacker(tuple_T_in_1(tuple_true)), true), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.10 = { by axiom 5 (ax51) }
% 29.67/4.10 ifeq(ifeq(true, pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.10 = { by axiom 1 (ax41) R->L }
% 29.67/4.10 ifeq(ifeq(pred_attacker(tuple_true), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.10 = { by lemma 8 R->L }
% 29.67/4.10 ifeq(ifeq(pred_attacker(constr_CONST_0x30), pred_attacker(constr_CONST_0x30), pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.10 = { by axiom 3 (ifeq_axiom) }
% 29.67/4.10 ifeq(pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(constr_CONST_0x30), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.10 = { by lemma 8 }
% 29.67/4.10 ifeq(pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(tuple_true), pred_attacker(name_objective), pred_attacker(constr_CONST_0x30))
% 29.67/4.10 = { by lemma 8 }
% 29.67/4.10 ifeq(pred_attacker(tuple_T_out_4(name_objective)), pred_attacker(tuple_true), pred_attacker(name_objective), pred_attacker(tuple_true))
% 29.67/4.10 = { by axiom 1 (ax41) }
% 29.67/4.10 ifeq(pred_attacker(tuple_T_out_4(name_objective)), true, pred_attacker(name_objective), pred_attacker(tuple_true))
% 29.67/4.10 = { by axiom 1 (ax41) }
% 29.67/4.10 ifeq(pred_attacker(tuple_T_out_4(name_objective)), true, pred_attacker(name_objective), true)
% 29.67/4.10 = { by axiom 6 (ax46) }
% 29.67/4.10 true
% 29.67/4.10 % SZS output end Proof
% 29.67/4.10
% 29.67/4.10 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------