%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : MGT008+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 12:01:42 PM UTC 2026
% Result : Theorem 1.69s 0.68s
% Output : Proof 2.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT008+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:16:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.69/0.68 Command-line arguments: --no-flatten-goal
% 1.69/0.68
% 1.69/0.68 % SZS status Theorem
% 1.69/0.68
% 2.02/0.71 % SZS output start Proof
% 2.02/0.71 Axiom 1 (t8_FOL_6): greater(s2, s1) = true.
% 2.02/0.71 Axiom 2 (t8_FOL): organization(x, t1) = true.
% 2.02/0.71 Axiom 3 (t8_FOL_1): organization(y, t2) = true.
% 2.02/0.71 Axiom 4 (t8_FOL_2): class(x, c, t1) = true.
% 2.02/0.71 Axiom 5 (t8_FOL_3): class(y, c, t2) = true.
% 2.02/0.71 Axiom 6 (t8_FOL_4): size(x, s1, t1) = true.
% 2.02/0.71 Axiom 7 (t8_FOL_5): size(y, s2, t2) = true.
% 2.02/0.71 Axiom 8 (t8_FOL_7): reorganization_free(x, t1, t1) = true.
% 2.02/0.71 Axiom 9 (t8_FOL_8): reorganization_free(y, t2, t2) = true.
% 2.02/0.71 Axiom 10 (t8_FOL_9): survival_chance(x, p1, t1) = true.
% 2.02/0.71 Axiom 11 (t8_FOL_10): survival_chance(y, p2, t2) = true.
% 2.02/0.71 Axiom 12 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 2.02/0.71 Axiom 13 (mp5): ifeq(organization(X, Y), true, inertia(X, i(X, Y), Y), true) = true.
% 2.02/0.71 Axiom 14 (a5_FOL): ifeq(greater(X, Y), true, ifeq(size(Z, X, W), true, ifeq(size(V, Y, U), true, ifeq(class(Z, T, W), true, ifeq(class(V, T, U), true, ifeq(inertia(Z, S, W), true, ifeq(inertia(V, X2, U), true, ifeq(organization(Z, W), true, ifeq(organization(V, U), true, greater(S, X2), true), true), true), true), true), true), true), true), true) = true.
% 2.02/0.71 Axiom 15 (t1_FOL): ifeq(survival_chance(X, Y, Z), true, ifeq(survival_chance(W, V, U), true, ifeq(reorganization_free(X, Z, Z), true, ifeq(reorganization_free(W, U, U), true, ifeq(greater(T, S), true, ifeq(inertia(X, T, Z), true, ifeq(inertia(W, S, U), true, ifeq(organization(X, Z), true, ifeq(organization(W, U), true, greater(Y, V), true), true), true), true), true), true), true), true), true) = true.
% 2.02/0.71
% 2.02/0.71 Goal 1 (t8_FOL_11): greater(p2, p1) = true.
% 2.02/0.71 Proof:
% 2.02/0.71 greater(p2, p1)
% 2.02/0.71 = { by axiom 12 (ifeq_axiom) R->L }
% 2.02/0.71 ifeq(true, true, greater(p2, p1), true)
% 2.02/0.71 = { by axiom 13 (mp5) R->L }
% 2.02/0.71 ifeq(ifeq(organization(x, t1), true, inertia(x, i(x, t1), t1), true), true, greater(p2, p1), true)
% 2.02/0.71 = { by axiom 2 (t8_FOL) }
% 2.02/0.71 ifeq(ifeq(true, true, inertia(x, i(x, t1), t1), true), true, greater(p2, p1), true)
% 2.02/0.71 = { by axiom 12 (ifeq_axiom) }
% 2.02/0.71 ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true)
% 2.02/0.71 = { by axiom 12 (ifeq_axiom) R->L }
% 2.02/0.71 ifeq(true, true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true)
% 2.02/0.71 = { by axiom 13 (mp5) R->L }
% 2.02/0.71 ifeq(ifeq(organization(y, t2), true, inertia(y, i(y, t2), t2), true), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true)
% 2.02/0.71 = { by axiom 3 (t8_FOL_1) }
% 2.02/0.71 ifeq(ifeq(true, true, inertia(y, i(y, t2), t2), true), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true)
% 2.02/0.71 = { by axiom 12 (ifeq_axiom) }
% 2.02/0.71 ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true)
% 2.02/0.71 = { by axiom 12 (ifeq_axiom) R->L }
% 2.02/0.71 ifeq(true, true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.71 = { by axiom 14 (a5_FOL) R->L }
% 2.02/0.71 ifeq(ifeq(greater(s2, s1), true, ifeq(size(y, s2, t2), true, ifeq(size(x, s1, t1), true, ifeq(class(y, c, t2), true, ifeq(class(x, c, t1), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, ifeq(organization(x, t1), true, greater(i(y, t2), i(x, t1)), true), true), true), true), true), true), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 6 (t8_FOL_4) }
% 2.02/0.72 ifeq(ifeq(greater(s2, s1), true, ifeq(size(y, s2, t2), true, ifeq(true, true, ifeq(class(y, c, t2), true, ifeq(class(x, c, t1), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, ifeq(organization(x, t1), true, greater(i(y, t2), i(x, t1)), true), true), true), true), true), true), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) }
% 2.02/0.72 ifeq(ifeq(greater(s2, s1), true, ifeq(size(y, s2, t2), true, ifeq(class(y, c, t2), true, ifeq(class(x, c, t1), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, ifeq(organization(x, t1), true, greater(i(y, t2), i(x, t1)), true), true), true), true), true), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 2 (t8_FOL) }
% 2.02/0.72 ifeq(ifeq(greater(s2, s1), true, ifeq(size(y, s2, t2), true, ifeq(class(y, c, t2), true, ifeq(class(x, c, t1), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, ifeq(true, true, greater(i(y, t2), i(x, t1)), true), true), true), true), true), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) }
% 2.02/0.72 ifeq(ifeq(greater(s2, s1), true, ifeq(size(y, s2, t2), true, ifeq(class(y, c, t2), true, ifeq(class(x, c, t1), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, greater(i(y, t2), i(x, t1)), true), true), true), true), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 5 (t8_FOL_3) }
% 2.02/0.72 ifeq(ifeq(greater(s2, s1), true, ifeq(size(y, s2, t2), true, ifeq(true, true, ifeq(class(x, c, t1), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, greater(i(y, t2), i(x, t1)), true), true), true), true), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) }
% 2.02/0.72 ifeq(ifeq(greater(s2, s1), true, ifeq(size(y, s2, t2), true, ifeq(class(x, c, t1), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, greater(i(y, t2), i(x, t1)), true), true), true), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 4 (t8_FOL_2) }
% 2.02/0.72 ifeq(ifeq(greater(s2, s1), true, ifeq(size(y, s2, t2), true, ifeq(true, true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, greater(i(y, t2), i(x, t1)), true), true), true), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) }
% 2.02/0.72 ifeq(ifeq(greater(s2, s1), true, ifeq(size(y, s2, t2), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, greater(i(y, t2), i(x, t1)), true), true), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 3 (t8_FOL_1) }
% 2.02/0.72 ifeq(ifeq(greater(s2, s1), true, ifeq(size(y, s2, t2), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(true, true, greater(i(y, t2), i(x, t1)), true), true), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) }
% 2.02/0.72 ifeq(ifeq(greater(s2, s1), true, ifeq(size(y, s2, t2), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(i(y, t2), i(x, t1)), true), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 1 (t8_FOL_6) }
% 2.02/0.72 ifeq(ifeq(true, true, ifeq(size(y, s2, t2), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(i(y, t2), i(x, t1)), true), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) }
% 2.02/0.72 ifeq(ifeq(size(y, s2, t2), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(i(y, t2), i(x, t1)), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 7 (t8_FOL_5) }
% 2.02/0.72 ifeq(ifeq(true, true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(i(y, t2), i(x, t1)), true), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) }
% 2.02/0.72 ifeq(ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(i(y, t2), i(x, t1)), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) R->L }
% 2.02/0.72 ifeq(ifeq(inertia(y, i(y, t2), t2), true, ifeq(ifeq(true, true, inertia(x, i(x, t1), t1), true), true, greater(i(y, t2), i(x, t1)), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 2 (t8_FOL) R->L }
% 2.02/0.72 ifeq(ifeq(inertia(y, i(y, t2), t2), true, ifeq(ifeq(organization(x, t1), true, inertia(x, i(x, t1), t1), true), true, greater(i(y, t2), i(x, t1)), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 13 (mp5) }
% 2.02/0.72 ifeq(ifeq(inertia(y, i(y, t2), t2), true, ifeq(true, true, greater(i(y, t2), i(x, t1)), true), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) }
% 2.02/0.72 ifeq(ifeq(inertia(y, i(y, t2), t2), true, greater(i(y, t2), i(x, t1)), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) R->L }
% 2.02/0.72 ifeq(ifeq(ifeq(true, true, inertia(y, i(y, t2), t2), true), true, greater(i(y, t2), i(x, t1)), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 3 (t8_FOL_1) R->L }
% 2.02/0.72 ifeq(ifeq(ifeq(organization(y, t2), true, inertia(y, i(y, t2), t2), true), true, greater(i(y, t2), i(x, t1)), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 13 (mp5) }
% 2.02/0.72 ifeq(ifeq(true, true, greater(i(y, t2), i(x, t1)), true), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) }
% 2.02/0.72 ifeq(greater(i(y, t2), i(x, t1)), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(p2, p1), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) R->L }
% 2.02/0.72 ifeq(greater(i(y, t2), i(x, t1)), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(true, true, greater(p2, p1), true), true), true), true)
% 2.02/0.72 = { by axiom 3 (t8_FOL_1) R->L }
% 2.02/0.72 ifeq(greater(i(y, t2), i(x, t1)), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, greater(p2, p1), true), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) R->L }
% 2.02/0.72 ifeq(true, true, ifeq(greater(i(y, t2), i(x, t1)), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, greater(p2, p1), true), true), true), true), true)
% 2.02/0.72 = { by axiom 9 (t8_FOL_8) R->L }
% 2.02/0.72 ifeq(reorganization_free(y, t2, t2), true, ifeq(greater(i(y, t2), i(x, t1)), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, greater(p2, p1), true), true), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) R->L }
% 2.02/0.72 ifeq(true, true, ifeq(reorganization_free(y, t2, t2), true, ifeq(greater(i(y, t2), i(x, t1)), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, greater(p2, p1), true), true), true), true), true), true)
% 2.02/0.72 = { by axiom 11 (t8_FOL_10) R->L }
% 2.02/0.72 ifeq(survival_chance(y, p2, t2), true, ifeq(reorganization_free(y, t2, t2), true, ifeq(greater(i(y, t2), i(x, t1)), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, greater(p2, p1), true), true), true), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) R->L }
% 2.02/0.72 ifeq(survival_chance(y, p2, t2), true, ifeq(reorganization_free(y, t2, t2), true, ifeq(greater(i(y, t2), i(x, t1)), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, ifeq(true, true, greater(p2, p1), true), true), true), true), true), true), true)
% 2.02/0.72 = { by axiom 2 (t8_FOL) R->L }
% 2.02/0.72 ifeq(survival_chance(y, p2, t2), true, ifeq(reorganization_free(y, t2, t2), true, ifeq(greater(i(y, t2), i(x, t1)), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, ifeq(organization(x, t1), true, greater(p2, p1), true), true), true), true), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) R->L }
% 2.02/0.72 ifeq(survival_chance(y, p2, t2), true, ifeq(reorganization_free(y, t2, t2), true, ifeq(true, true, ifeq(greater(i(y, t2), i(x, t1)), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, ifeq(organization(x, t1), true, greater(p2, p1), true), true), true), true), true), true), true), true)
% 2.02/0.72 = { by axiom 8 (t8_FOL_7) R->L }
% 2.02/0.72 ifeq(survival_chance(y, p2, t2), true, ifeq(reorganization_free(y, t2, t2), true, ifeq(reorganization_free(x, t1, t1), true, ifeq(greater(i(y, t2), i(x, t1)), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, ifeq(organization(x, t1), true, greater(p2, p1), true), true), true), true), true), true), true), true)
% 2.02/0.72 = { by axiom 12 (ifeq_axiom) R->L }
% 2.02/0.72 ifeq(survival_chance(y, p2, t2), true, ifeq(true, true, ifeq(reorganization_free(y, t2, t2), true, ifeq(reorganization_free(x, t1, t1), true, ifeq(greater(i(y, t2), i(x, t1)), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, ifeq(organization(x, t1), true, greater(p2, p1), true), true), true), true), true), true), true), true), true)
% 2.02/0.72 = { by axiom 10 (t8_FOL_9) R->L }
% 2.02/0.73 ifeq(survival_chance(y, p2, t2), true, ifeq(survival_chance(x, p1, t1), true, ifeq(reorganization_free(y, t2, t2), true, ifeq(reorganization_free(x, t1, t1), true, ifeq(greater(i(y, t2), i(x, t1)), true, ifeq(inertia(y, i(y, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(y, t2), true, ifeq(organization(x, t1), true, greater(p2, p1), true), true), true), true), true), true), true), true), true)
% 2.02/0.73 = { by axiom 15 (t1_FOL) }
% 2.02/0.73 true
% 2.02/0.73 % SZS output end Proof
% 2.02/0.73
% 2.02/0.73 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------