%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : COM002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 09:38:36 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.29s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.18 % Computer : n007.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 21:40:25 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.29 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.21/0.29
% 0.21/0.29 % SZS status Unsatisfiable
% 0.21/0.29
% 0.21/0.29 % SZS output start Proof
% 0.21/0.29 Axiom 1 (state_8): has(p8, goto(loop)) = true.
% 0.21/0.29 Axiom 2 (transition_3_to_6): follows(p6, p3) = true.
% 0.21/0.29 Axiom 3 (transition_6_to_7): follows(p7, p6) = true.
% 0.21/0.29 Axiom 4 (transition_7_to_8): follows(p8, p7) = true.
% 0.21/0.29 Axiom 5 (label_state_3): labels(loop, p3) = true.
% 0.21/0.29 Axiom 6 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.21/0.29 Axiom 7 (direct_success): ifeq(follows(X, Y), true, succeeds(X, Y), true) = true.
% 0.21/0.29 Axiom 8 (transitivity_of_success): ifeq(succeeds(X, Y), true, ifeq(succeeds(Z, X), true, succeeds(Z, Y), true), true) = true.
% 0.21/0.29 Axiom 9 (goto_success): ifeq(labels(X, Y), true, ifeq(has(Z, goto(X)), true, succeeds(Y, Z), true), true) = true.
% 0.21/0.29
% 0.21/0.29 Goal 1 (prove_there_is_a_loop_through_p3): succeeds(p3, p3) = true.
% 0.21/0.29 Proof:
% 0.21/0.29 succeeds(p3, p3)
% 0.21/0.29 = { by axiom 6 (ifeq_axiom) R->L }
% 0.21/0.29 ifeq(true, true, succeeds(p3, p3), true)
% 0.21/0.29 = { by axiom 8 (transitivity_of_success) R->L }
% 0.21/0.29 ifeq(ifeq(succeeds(p7, p6), true, ifeq(succeeds(p3, p7), true, succeeds(p3, p6), true), true), true, succeeds(p3, p3), true)
% 0.21/0.29 = { by axiom 6 (ifeq_axiom) R->L }
% 0.21/0.29 ifeq(ifeq(ifeq(true, true, succeeds(p7, p6), true), true, ifeq(succeeds(p3, p7), true, succeeds(p3, p6), true), true), true, succeeds(p3, p3), true)
% 0.21/0.29 = { by axiom 3 (transition_6_to_7) R->L }
% 0.21/0.29 ifeq(ifeq(ifeq(follows(p7, p6), true, succeeds(p7, p6), true), true, ifeq(succeeds(p3, p7), true, succeeds(p3, p6), true), true), true, succeeds(p3, p3), true)
% 0.21/0.29 = { by axiom 7 (direct_success) }
% 0.21/0.29 ifeq(ifeq(true, true, ifeq(succeeds(p3, p7), true, succeeds(p3, p6), true), true), true, succeeds(p3, p3), true)
% 0.21/0.29 = { by axiom 6 (ifeq_axiom) }
% 0.21/0.29 ifeq(ifeq(succeeds(p3, p7), true, succeeds(p3, p6), true), true, succeeds(p3, p3), true)
% 0.21/0.29 = { by axiom 6 (ifeq_axiom) R->L }
% 0.21/0.29 ifeq(ifeq(ifeq(true, true, succeeds(p3, p7), true), true, succeeds(p3, p6), true), true, succeeds(p3, p3), true)
% 0.21/0.29 = { by axiom 9 (goto_success) R->L }
% 0.21/0.29 ifeq(ifeq(ifeq(ifeq(labels(loop, p3), true, ifeq(has(p8, goto(loop)), true, succeeds(p3, p8), true), true), true, succeeds(p3, p7), true), true, succeeds(p3, p6), true), true, succeeds(p3, p3), true)
% 0.21/0.29 = { by axiom 1 (state_8) }
% 0.21/0.29 ifeq(ifeq(ifeq(ifeq(labels(loop, p3), true, ifeq(true, true, succeeds(p3, p8), true), true), true, succeeds(p3, p7), true), true, succeeds(p3, p6), true), true, succeeds(p3, p3), true)
% 0.21/0.30 = { by axiom 6 (ifeq_axiom) }
% 0.21/0.30 ifeq(ifeq(ifeq(ifeq(labels(loop, p3), true, succeeds(p3, p8), true), true, succeeds(p3, p7), true), true, succeeds(p3, p6), true), true, succeeds(p3, p3), true)
% 0.21/0.30 = { by axiom 5 (label_state_3) }
% 0.21/0.30 ifeq(ifeq(ifeq(ifeq(true, true, succeeds(p3, p8), true), true, succeeds(p3, p7), true), true, succeeds(p3, p6), true), true, succeeds(p3, p3), true)
% 0.21/0.30 = { by axiom 6 (ifeq_axiom) }
% 0.21/0.30 ifeq(ifeq(ifeq(succeeds(p3, p8), true, succeeds(p3, p7), true), true, succeeds(p3, p6), true), true, succeeds(p3, p3), true)
% 0.21/0.30 = { by axiom 6 (ifeq_axiom) R->L }
% 0.21/0.30 ifeq(ifeq(ifeq(true, true, ifeq(succeeds(p3, p8), true, succeeds(p3, p7), true), true), true, succeeds(p3, p6), true), true, succeeds(p3, p3), true)
% 0.21/0.30 = { by axiom 7 (direct_success) R->L }
% 0.21/0.30 ifeq(ifeq(ifeq(ifeq(follows(p8, p7), true, succeeds(p8, p7), true), true, ifeq(succeeds(p3, p8), true, succeeds(p3, p7), true), true), true, succeeds(p3, p6), true), true, succeeds(p3, p3), true)
% 0.21/0.30 = { by axiom 4 (transition_7_to_8) }
% 0.21/0.30 ifeq(ifeq(ifeq(ifeq(true, true, succeeds(p8, p7), true), true, ifeq(succeeds(p3, p8), true, succeeds(p3, p7), true), true), true, succeeds(p3, p6), true), true, succeeds(p3, p3), true)
% 0.21/0.30 = { by axiom 6 (ifeq_axiom) }
% 0.21/0.30 ifeq(ifeq(ifeq(succeeds(p8, p7), true, ifeq(succeeds(p3, p8), true, succeeds(p3, p7), true), true), true, succeeds(p3, p6), true), true, succeeds(p3, p3), true)
% 0.21/0.30 = { by axiom 8 (transitivity_of_success) }
% 0.21/0.30 ifeq(ifeq(true, true, succeeds(p3, p6), true), true, succeeds(p3, p3), true)
% 0.21/0.30 = { by axiom 6 (ifeq_axiom) }
% 0.21/0.30 ifeq(succeeds(p3, p6), true, succeeds(p3, p3), true)
% 0.21/0.30 = { by axiom 6 (ifeq_axiom) R->L }
% 0.21/0.30 ifeq(true, true, ifeq(succeeds(p3, p6), true, succeeds(p3, p3), true), true)
% 0.21/0.30 = { by axiom 7 (direct_success) R->L }
% 0.21/0.30 ifeq(ifeq(follows(p6, p3), true, succeeds(p6, p3), true), true, ifeq(succeeds(p3, p6), true, succeeds(p3, p3), true), true)
% 0.21/0.30 = { by axiom 2 (transition_3_to_6) }
% 0.21/0.30 ifeq(ifeq(true, true, succeeds(p6, p3), true), true, ifeq(succeeds(p3, p6), true, succeeds(p3, p3), true), true)
% 0.21/0.30 = { by axiom 6 (ifeq_axiom) }
% 0.21/0.30 ifeq(succeeds(p6, p3), true, ifeq(succeeds(p3, p6), true, succeeds(p3, p3), true), true)
% 0.21/0.30 = { by axiom 8 (transitivity_of_success) }
% 0.21/0.30 true
% 0.21/0.30 % SZS output end Proof
% 0.21/0.30
% 0.21/0.30 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------