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% File : Twee---2.7
% Problem : MSC011+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 12:04:42 PM UTC 2026
% Result : Theorem 0.09s 0.42s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC011+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 17:43:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42 Command-line arguments: --no-flatten-goal
% 0.09/0.42
% 0.09/0.42 % SZS status Theorem
% 0.09/0.42
% 0.09/0.43 % SZS output start Proof
% 0.09/0.43 Axiom 1 (neg_phi_1): neg_psi = true.
% 0.09/0.43 Axiom 2 (neg_phi): drunk(X) = true.
% 0.09/0.43 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.09/0.43 Axiom 4 (neg_psi_ax): ifeq(neg_psi, true, not_drunk(a), true) = true.
% 0.09/0.43 Axiom 5 (d_cons): ifeq(not_drunk(X), true, ifeq(drunk(X), true, goal, true), true) = true.
% 0.09/0.43
% 0.09/0.43 Goal 1 (goal_to_be_proved): goal = true.
% 0.09/0.43 Proof:
% 0.09/0.43 goal
% 0.09/0.43 = { by axiom 3 (ifeq_axiom) R->L }
% 0.09/0.43 ifeq(neg_psi, neg_psi, goal, neg_psi)
% 0.09/0.43 = { by axiom 1 (neg_phi_1) }
% 0.09/0.43 ifeq(true, neg_psi, goal, neg_psi)
% 0.09/0.43 = { by axiom 4 (neg_psi_ax) R->L }
% 0.09/0.43 ifeq(ifeq(neg_psi, true, not_drunk(a), true), neg_psi, goal, neg_psi)
% 0.09/0.43 = { by axiom 1 (neg_phi_1) R->L }
% 0.09/0.43 ifeq(ifeq(neg_psi, true, not_drunk(a), neg_psi), neg_psi, goal, neg_psi)
% 0.09/0.43 = { by axiom 1 (neg_phi_1) R->L }
% 0.09/0.43 ifeq(ifeq(neg_psi, neg_psi, not_drunk(a), neg_psi), neg_psi, goal, neg_psi)
% 0.09/0.43 = { by axiom 3 (ifeq_axiom) }
% 0.09/0.43 ifeq(not_drunk(a), neg_psi, goal, neg_psi)
% 0.09/0.43 = { by axiom 3 (ifeq_axiom) R->L }
% 0.09/0.43 ifeq(not_drunk(a), neg_psi, ifeq(neg_psi, neg_psi, goal, neg_psi), neg_psi)
% 0.09/0.43 = { by axiom 1 (neg_phi_1) }
% 0.09/0.43 ifeq(not_drunk(a), neg_psi, ifeq(true, neg_psi, goal, neg_psi), neg_psi)
% 0.09/0.43 = { by axiom 2 (neg_phi) R->L }
% 0.09/0.43 ifeq(not_drunk(a), neg_psi, ifeq(drunk(a), neg_psi, goal, neg_psi), neg_psi)
% 0.09/0.43 = { by axiom 1 (neg_phi_1) }
% 0.09/0.43 ifeq(not_drunk(a), true, ifeq(drunk(a), neg_psi, goal, neg_psi), neg_psi)
% 0.09/0.43 = { by axiom 1 (neg_phi_1) }
% 0.09/0.43 ifeq(not_drunk(a), true, ifeq(drunk(a), true, goal, neg_psi), neg_psi)
% 0.09/0.43 = { by axiom 1 (neg_phi_1) }
% 0.09/0.43 ifeq(not_drunk(a), true, ifeq(drunk(a), true, goal, true), neg_psi)
% 0.09/0.43 = { by axiom 1 (neg_phi_1) }
% 0.09/0.43 ifeq(not_drunk(a), true, ifeq(drunk(a), true, goal, true), true)
% 0.09/0.43 = { by axiom 5 (d_cons) }
% 0.09/0.43 true
% 0.09/0.43 % SZS output end Proof
% 0.09/0.43
% 0.09/0.43 RESULT: Theorem (the conjecture is true).
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