%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:30:44 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.43s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:28:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.43 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.11/0.43
% 0.11/0.43 % SZS status Unsatisfiable
% 0.11/0.43
% 0.11/0.44 % SZS output start Proof
% 0.11/0.44 Axiom 1 (lorenzo): member(lorenzo) = true.
% 0.11/0.44 Axiom 2 (petruchio): member(petruchio) = true.
% 0.11/0.44 Axiom 3 (guido): member(guido) = true.
% 0.11/0.44 Axiom 4 (cesare): member(cesare) = true.
% 0.11/0.44 Axiom 5 (guido_has_shaved_cesare): shaved(guido, cesare) = true.
% 0.11/0.44 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.11/0.44 Axiom 7 (all_shaved_then_one_shaved): ifeq(shaved(members, X), true, ifeq(member(Y), true, shaved(Y, X), true), true) = true.
% 0.11/0.44 Axiom 8 (one_shaved_then_all_shaved): ifeq(shaved(X, Y), true, ifeq(member(Y), true, ifeq(member(X), true, shaved(members, X), true), true), true) = true.
% 0.11/0.44
% 0.11/0.44 Goal 1 (prove_petruchio_has_shaved_lorenzo): shaved(petruchio, lorenzo) = true.
% 0.11/0.44 Proof:
% 0.11/0.44 shaved(petruchio, lorenzo)
% 0.11/0.44 = { by axiom 6 (ifeq_axiom) R->L }
% 0.11/0.44 ifeq(true, true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 8 (one_shaved_then_all_shaved) R->L }
% 0.11/0.44 ifeq(ifeq(shaved(lorenzo, guido), true, ifeq(member(guido), true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 6 (ifeq_axiom) R->L }
% 0.11/0.44 ifeq(ifeq(ifeq(true, true, shaved(lorenzo, guido), true), true, ifeq(member(guido), true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 1 (lorenzo) R->L }
% 0.11/0.44 ifeq(ifeq(ifeq(member(lorenzo), true, shaved(lorenzo, guido), true), true, ifeq(member(guido), true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 6 (ifeq_axiom) R->L }
% 0.11/0.44 ifeq(ifeq(ifeq(true, true, ifeq(member(lorenzo), true, shaved(lorenzo, guido), true), true), true, ifeq(member(guido), true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 8 (one_shaved_then_all_shaved) R->L }
% 0.11/0.44 ifeq(ifeq(ifeq(ifeq(shaved(guido, cesare), true, ifeq(member(cesare), true, ifeq(member(guido), true, shaved(members, guido), true), true), true), true, ifeq(member(lorenzo), true, shaved(lorenzo, guido), true), true), true, ifeq(member(guido), true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 5 (guido_has_shaved_cesare) }
% 0.11/0.44 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(member(cesare), true, ifeq(member(guido), true, shaved(members, guido), true), true), true), true, ifeq(member(lorenzo), true, shaved(lorenzo, guido), true), true), true, ifeq(member(guido), true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 6 (ifeq_axiom) }
% 0.11/0.44 ifeq(ifeq(ifeq(ifeq(member(cesare), true, ifeq(member(guido), true, shaved(members, guido), true), true), true, ifeq(member(lorenzo), true, shaved(lorenzo, guido), true), true), true, ifeq(member(guido), true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 4 (cesare) }
% 0.11/0.44 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(member(guido), true, shaved(members, guido), true), true), true, ifeq(member(lorenzo), true, shaved(lorenzo, guido), true), true), true, ifeq(member(guido), true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 6 (ifeq_axiom) }
% 0.11/0.44 ifeq(ifeq(ifeq(ifeq(member(guido), true, shaved(members, guido), true), true, ifeq(member(lorenzo), true, shaved(lorenzo, guido), true), true), true, ifeq(member(guido), true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 3 (guido) }
% 0.11/0.44 ifeq(ifeq(ifeq(ifeq(true, true, shaved(members, guido), true), true, ifeq(member(lorenzo), true, shaved(lorenzo, guido), true), true), true, ifeq(member(guido), true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 6 (ifeq_axiom) }
% 0.11/0.44 ifeq(ifeq(ifeq(shaved(members, guido), true, ifeq(member(lorenzo), true, shaved(lorenzo, guido), true), true), true, ifeq(member(guido), true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 7 (all_shaved_then_one_shaved) }
% 0.11/0.44 ifeq(ifeq(true, true, ifeq(member(guido), true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 6 (ifeq_axiom) }
% 0.11/0.44 ifeq(ifeq(member(guido), true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 3 (guido) }
% 0.11/0.44 ifeq(ifeq(true, true, ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 6 (ifeq_axiom) }
% 0.11/0.44 ifeq(ifeq(member(lorenzo), true, shaved(members, lorenzo), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 1 (lorenzo) }
% 0.11/0.44 ifeq(ifeq(true, true, shaved(members, lorenzo), true), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 6 (ifeq_axiom) }
% 0.11/0.44 ifeq(shaved(members, lorenzo), true, shaved(petruchio, lorenzo), true)
% 0.11/0.44 = { by axiom 6 (ifeq_axiom) R->L }
% 0.11/0.44 ifeq(shaved(members, lorenzo), true, ifeq(true, true, shaved(petruchio, lorenzo), true), true)
% 0.11/0.44 = { by axiom 2 (petruchio) R->L }
% 0.11/0.44 ifeq(shaved(members, lorenzo), true, ifeq(member(petruchio), true, shaved(petruchio, lorenzo), true), true)
% 0.11/0.44 = { by axiom 7 (all_shaved_then_one_shaved) }
% 0.11/0.44 true
% 0.11/0.44 % SZS output end Proof
% 0.11/0.44
% 0.11/0.44 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------