%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 12:30:52 PM UTC 2026
% Result : Theorem 0.11s 0.47s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n002.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 27 22:40:51 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.47 Command-line arguments: --no-flatten-goal
% 0.11/0.47
% 0.11/0.47 % SZS status Theorem
% 0.11/0.47
% 0.11/0.47 % SZS output start Proof
% 0.11/0.47 Axiom 1 (prove_this): alive(bill) = true.
% 0.11/0.47 Axiom 2 (prove_this_1): eats(bill, peanuts) = true.
% 0.11/0.47 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.11/0.47 Axiom 4 (prove_this_9): ifeq(food(X), true, likes(john, X), true) = true.
% 0.11/0.47 Axiom 5 (prove_this_5): ifeq(alive(X), true, not_killed_by(X, Y), true) = true.
% 0.11/0.47 Axiom 6 (prove_this_6): ifeq(not_killed_by(X, Y), true, ifeq(eats(X, Y), true, food(Y), true), true) = true.
% 0.11/0.47
% 0.11/0.47 Goal 1 (prove_this_8): likes(john, peanuts) = true.
% 0.11/0.47 Proof:
% 0.11/0.47 likes(john, peanuts)
% 0.11/0.47 = { by axiom 3 (ifeq_axiom) R->L }
% 0.11/0.47 ifeq(true, true, likes(john, peanuts), true)
% 0.11/0.47 = { by axiom 6 (prove_this_6) R->L }
% 0.11/0.47 ifeq(ifeq(not_killed_by(bill, peanuts), true, ifeq(eats(bill, peanuts), true, food(peanuts), true), true), true, likes(john, peanuts), true)
% 0.11/0.47 = { by axiom 2 (prove_this_1) }
% 0.11/0.47 ifeq(ifeq(not_killed_by(bill, peanuts), true, ifeq(true, true, food(peanuts), true), true), true, likes(john, peanuts), true)
% 0.11/0.47 = { by axiom 3 (ifeq_axiom) R->L }
% 0.11/0.47 ifeq(ifeq(ifeq(true, true, not_killed_by(bill, peanuts), true), true, ifeq(true, true, food(peanuts), true), true), true, likes(john, peanuts), true)
% 0.11/0.47 = { by axiom 1 (prove_this) R->L }
% 0.11/0.47 ifeq(ifeq(ifeq(alive(bill), true, not_killed_by(bill, peanuts), true), true, ifeq(true, true, food(peanuts), true), true), true, likes(john, peanuts), true)
% 0.11/0.47 = { by axiom 5 (prove_this_5) }
% 0.11/0.47 ifeq(ifeq(true, true, ifeq(true, true, food(peanuts), true), true), true, likes(john, peanuts), true)
% 0.11/0.47 = { by axiom 3 (ifeq_axiom) }
% 0.11/0.47 ifeq(ifeq(true, true, food(peanuts), true), true, likes(john, peanuts), true)
% 0.11/0.47 = { by axiom 3 (ifeq_axiom) }
% 0.11/0.47 ifeq(food(peanuts), true, likes(john, peanuts), true)
% 0.11/0.47 = { by axiom 4 (prove_this_9) }
% 0.11/0.47 true
% 0.11/0.47 % SZS output end Proof
% 0.11/0.47
% 0.11/0.47 RESULT: Theorem (the conjecture is true).
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