%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : MGT012+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 12:01:43 PM UTC 2026
% Result : Theorem 0.10s 0.49s
% Output : Proof 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT012+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 17:17:56 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.49 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
% 0.10/0.49
% 0.10/0.49 % SZS status Theorem
% 0.10/0.49
% 0.65/0.52 % SZS output start Proof
% 0.65/0.52 Axiom 1 (t12_FOL): organization(x, t1) = true.
% 0.65/0.52 Axiom 2 (t12_FOL_1): organization(x, t2) = true.
% 0.65/0.52 Axiom 3 (t12_FOL_3): greater(t2, t1) = true.
% 0.65/0.52 Axiom 4 (t12_FOL_2): greater(c1, c2) = true.
% 0.65/0.52 Axiom 5 (t12_FOL_5): complexity(x, c1, t1) = true.
% 0.65/0.52 Axiom 6 (t12_FOL_6): complexity(x, c2, t2) = true.
% 0.65/0.52 Axiom 7 (t12_FOL_4): reorganization_free(x, t1, t2) = true.
% 0.65/0.52 Axiom 8 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.65/0.52 Axiom 9 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 0.65/0.52 Axiom 10 (mp5): ifeq(organization(X, Y), true, inertia(X, i(X, Y), Y), true) = true.
% 0.65/0.52 Axiom 11 (mp9): ifeq(organization(X, Y), true, class(X, c(X, Y), Y), true) = true.
% 0.65/0.52 Axiom 12 (mp10): ifeq2(reorganization_free(X, Y, Z), true, ifeq2(class(X, W, Z), true, ifeq2(class(X, V, Y), true, ifeq2(organization(X, Z), true, ifeq2(organization(X, Y), true, V, W), W), W), W), W) = W.
% 0.65/0.52 Axiom 13 (t2_FOL): ifeq(reorganization_free(X, Y, Z), true, ifeq(greater(Z, Y), true, ifeq(inertia(X, W, Z), true, ifeq(inertia(X, V, Y), true, ifeq(organization(X, Z), true, ifeq(organization(X, Y), true, greater(W, V), true), true), true), true), true), true) = true.
% 0.65/0.52 Axiom 14 (a12_FOL): ifeq(complexity(X, Y, Z), true, ifeq(complexity(W, V, U), true, ifeq(class(X, T, Z), true, ifeq(class(W, T, U), true, ifeq(greater(Y, V), true, ifeq(inertia(X, S, Z), true, ifeq(inertia(W, X2, U), true, ifeq(organization(X, Z), true, ifeq(organization(W, U), true, greater(S, X2), true), true), true), true), true), true), true), true), true) = true.
% 0.65/0.52
% 0.65/0.52 Goal 1 (mp6_2): tuple(greater(X, Y), greater(Y, X)) = tuple(true, true).
% 0.65/0.52 The goal is true when:
% 0.65/0.52 X = i(x, t1)
% 0.65/0.52 Y = i(x, t2)
% 0.65/0.52
% 0.65/0.52 Proof:
% 0.65/0.52 tuple(greater(i(x, t1), i(x, t2)), greater(i(x, t2), i(x, t1)))
% 0.65/0.52 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.52 tuple(ifeq(true, true, greater(i(x, t1), i(x, t2)), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.52 = { by axiom 10 (mp5) R->L }
% 0.65/0.52 tuple(ifeq(ifeq(organization(x, t2), true, inertia(x, i(x, t2), t2), true), true, greater(i(x, t1), i(x, t2)), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.52 = { by axiom 2 (t12_FOL_1) }
% 0.65/0.52 tuple(ifeq(ifeq(true, true, inertia(x, i(x, t2), t2), true), true, greater(i(x, t1), i(x, t2)), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.52 = { by axiom 8 (ifeq_axiom) }
% 0.65/0.52 tuple(ifeq(inertia(x, i(x, t2), t2), true, greater(i(x, t1), i(x, t2)), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.52 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.52 tuple(ifeq(true, true, ifeq(inertia(x, i(x, t2), t2), true, greater(i(x, t1), i(x, t2)), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.52 = { by axiom 10 (mp5) R->L }
% 0.65/0.52 tuple(ifeq(ifeq(organization(x, t1), true, inertia(x, i(x, t1), t1), true), true, ifeq(inertia(x, i(x, t2), t2), true, greater(i(x, t1), i(x, t2)), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.52 = { by axiom 1 (t12_FOL) }
% 0.65/0.52 tuple(ifeq(ifeq(true, true, inertia(x, i(x, t1), t1), true), true, ifeq(inertia(x, i(x, t2), t2), true, greater(i(x, t1), i(x, t2)), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.52 = { by axiom 8 (ifeq_axiom) }
% 0.65/0.52 tuple(ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, greater(i(x, t1), i(x, t2)), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.52 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.52 tuple(ifeq(true, true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, greater(i(x, t1), i(x, t2)), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.52 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.53 tuple(ifeq(true, true, ifeq(true, true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.53 = { by axiom 6 (t12_FOL_6) R->L }
% 0.65/0.53 tuple(ifeq(complexity(x, c2, t2), true, ifeq(true, true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.53 = { by axiom 4 (t12_FOL_2) R->L }
% 0.65/0.53 tuple(ifeq(complexity(x, c2, t2), true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.53 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.53 tuple(ifeq(complexity(x, c2, t2), true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(true, true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.53 = { by axiom 2 (t12_FOL_1) R->L }
% 0.65/0.53 tuple(ifeq(complexity(x, c2, t2), true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.53 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.53 tuple(ifeq(complexity(x, c2, t2), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.53 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.53 tuple(ifeq(complexity(x, c2, t2), true, ifeq(true, true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.53 = { by axiom 11 (mp9) R->L }
% 0.65/0.53 tuple(ifeq(complexity(x, c2, t2), true, ifeq(ifeq(organization(x, t1), true, class(x, c(x, t1), t1), true), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.53 = { by axiom 1 (t12_FOL) }
% 0.65/0.53 tuple(ifeq(complexity(x, c2, t2), true, ifeq(ifeq(true, true, class(x, c(x, t1), t1), true), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.53 = { by axiom 8 (ifeq_axiom) }
% 0.65/0.53 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, c(x, t1), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.53 = { by axiom 9 (ifeq_axiom) R->L }
% 0.65/0.53 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(true, true, c(x, t1), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.53 = { by axiom 11 (mp9) R->L }
% 0.65/0.53 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(ifeq(organization(x, t2), true, class(x, c(x, t2), t2), true), true, c(x, t1), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.54 = { by axiom 2 (t12_FOL_1) }
% 0.65/0.54 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(ifeq(true, true, class(x, c(x, t2), t2), true), true, c(x, t1), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.54 = { by axiom 8 (ifeq_axiom) }
% 0.65/0.54 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(class(x, c(x, t2), t2), true, c(x, t1), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.54 = { by axiom 9 (ifeq_axiom) R->L }
% 0.65/0.54 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(class(x, c(x, t2), t2), true, ifeq2(true, true, c(x, t1), c(x, t2)), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.54 = { by axiom 11 (mp9) R->L }
% 0.65/0.54 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(class(x, c(x, t2), t2), true, ifeq2(ifeq(organization(x, t1), true, class(x, c(x, t1), t1), true), true, c(x, t1), c(x, t2)), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.54 = { by axiom 1 (t12_FOL) }
% 0.65/0.54 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(class(x, c(x, t2), t2), true, ifeq2(ifeq(true, true, class(x, c(x, t1), t1), true), true, c(x, t1), c(x, t2)), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.54 = { by axiom 8 (ifeq_axiom) }
% 0.65/0.54 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(class(x, c(x, t2), t2), true, ifeq2(class(x, c(x, t1), t1), true, c(x, t1), c(x, t2)), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.54 = { by axiom 9 (ifeq_axiom) R->L }
% 0.65/0.54 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(class(x, c(x, t2), t2), true, ifeq2(class(x, c(x, t1), t1), true, ifeq2(true, true, c(x, t1), c(x, t2)), c(x, t2)), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.54 = { by axiom 1 (t12_FOL) R->L }
% 0.65/0.54 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(class(x, c(x, t2), t2), true, ifeq2(class(x, c(x, t1), t1), true, ifeq2(organization(x, t1), true, c(x, t1), c(x, t2)), c(x, t2)), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.54 = { by axiom 9 (ifeq_axiom) R->L }
% 0.65/0.55 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(class(x, c(x, t2), t2), true, ifeq2(class(x, c(x, t1), t1), true, ifeq2(true, true, ifeq2(organization(x, t1), true, c(x, t1), c(x, t2)), c(x, t2)), c(x, t2)), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.55 = { by axiom 2 (t12_FOL_1) R->L }
% 0.65/0.55 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(class(x, c(x, t2), t2), true, ifeq2(class(x, c(x, t1), t1), true, ifeq2(organization(x, t2), true, ifeq2(organization(x, t1), true, c(x, t1), c(x, t2)), c(x, t2)), c(x, t2)), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.55 = { by axiom 9 (ifeq_axiom) R->L }
% 0.65/0.55 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(true, true, ifeq2(class(x, c(x, t2), t2), true, ifeq2(class(x, c(x, t1), t1), true, ifeq2(organization(x, t2), true, ifeq2(organization(x, t1), true, c(x, t1), c(x, t2)), c(x, t2)), c(x, t2)), c(x, t2)), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.55 = { by axiom 7 (t12_FOL_4) R->L }
% 0.65/0.55 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, ifeq2(reorganization_free(x, t1, t2), true, ifeq2(class(x, c(x, t2), t2), true, ifeq2(class(x, c(x, t1), t1), true, ifeq2(organization(x, t2), true, ifeq2(organization(x, t1), true, c(x, t1), c(x, t2)), c(x, t2)), c(x, t2)), c(x, t2)), c(x, t2)), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.55 = { by axiom 12 (mp10) }
% 0.65/0.55 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, c(x, t2), t1), true, ifeq(true, true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.55 = { by axiom 11 (mp9) R->L }
% 0.65/0.55 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, c(x, t2), t1), true, ifeq(ifeq(organization(x, t2), true, class(x, c(x, t2), t2), true), true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.55 = { by axiom 2 (t12_FOL_1) }
% 0.65/0.55 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, c(x, t2), t1), true, ifeq(ifeq(true, true, class(x, c(x, t2), t2), true), true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.55 = { by axiom 8 (ifeq_axiom) }
% 0.65/0.55 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, c(x, t2), t1), true, ifeq(class(x, c(x, t2), t2), true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.55 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.55 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, c(x, t2), t1), true, ifeq(class(x, c(x, t2), t2), true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(true, true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.55 = { by axiom 1 (t12_FOL) R->L }
% 0.65/0.55 tuple(ifeq(complexity(x, c2, t2), true, ifeq(class(x, c(x, t2), t1), true, ifeq(class(x, c(x, t2), t2), true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t1), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.55 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.55 tuple(ifeq(true, true, ifeq(complexity(x, c2, t2), true, ifeq(class(x, c(x, t2), t1), true, ifeq(class(x, c(x, t2), t2), true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t1), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.55 = { by axiom 5 (t12_FOL_5) R->L }
% 0.65/0.55 tuple(ifeq(complexity(x, c1, t1), true, ifeq(complexity(x, c2, t2), true, ifeq(class(x, c(x, t2), t1), true, ifeq(class(x, c(x, t2), t2), true, ifeq(greater(c1, c2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(organization(x, t1), true, ifeq(organization(x, t2), true, greater(i(x, t1), i(x, t2)), true), true), true), true), true), true), true), true), true), greater(i(x, t2), i(x, t1)))
% 0.65/0.55 = { by axiom 14 (a12_FOL) }
% 0.65/0.55 tuple(true, greater(i(x, t2), i(x, t1)))
% 0.65/0.55 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.55 tuple(true, ifeq(true, true, greater(i(x, t2), i(x, t1)), true))
% 0.65/0.55 = { by axiom 10 (mp5) R->L }
% 0.65/0.55 tuple(true, ifeq(ifeq(organization(x, t2), true, inertia(x, i(x, t2), t2), true), true, greater(i(x, t2), i(x, t1)), true))
% 0.65/0.55 = { by axiom 2 (t12_FOL_1) }
% 0.65/0.55 tuple(true, ifeq(ifeq(true, true, inertia(x, i(x, t2), t2), true), true, greater(i(x, t2), i(x, t1)), true))
% 0.65/0.56 = { by axiom 8 (ifeq_axiom) }
% 0.65/0.56 tuple(true, ifeq(inertia(x, i(x, t2), t2), true, greater(i(x, t2), i(x, t1)), true))
% 0.65/0.56 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.56 tuple(true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(true, true, greater(i(x, t2), i(x, t1)), true), true))
% 0.65/0.56 = { by axiom 10 (mp5) R->L }
% 0.65/0.56 tuple(true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(ifeq(organization(x, t1), true, inertia(x, i(x, t1), t1), true), true, greater(i(x, t2), i(x, t1)), true), true))
% 0.65/0.56 = { by axiom 1 (t12_FOL) }
% 0.65/0.56 tuple(true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(ifeq(true, true, inertia(x, i(x, t1), t1), true), true, greater(i(x, t2), i(x, t1)), true), true))
% 0.65/0.56 = { by axiom 8 (ifeq_axiom) }
% 0.65/0.56 tuple(true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, greater(i(x, t2), i(x, t1)), true), true))
% 0.65/0.56 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.56 tuple(true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(true, true, greater(i(x, t2), i(x, t1)), true), true), true))
% 0.65/0.56 = { by axiom 1 (t12_FOL) R->L }
% 0.65/0.56 tuple(true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(x, t1), true, greater(i(x, t2), i(x, t1)), true), true), true))
% 0.65/0.56 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.56 tuple(true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(true, true, ifeq(organization(x, t1), true, greater(i(x, t2), i(x, t1)), true), true), true), true))
% 0.65/0.56 = { by axiom 2 (t12_FOL_1) R->L }
% 0.65/0.56 tuple(true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(i(x, t2), i(x, t1)), true), true), true), true))
% 0.65/0.56 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.56 tuple(true, ifeq(true, true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(i(x, t2), i(x, t1)), true), true), true), true), true))
% 0.65/0.56 = { by axiom 3 (t12_FOL_3) R->L }
% 0.65/0.56 tuple(true, ifeq(greater(t2, t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(i(x, t2), i(x, t1)), true), true), true), true), true))
% 0.65/0.56 = { by axiom 8 (ifeq_axiom) R->L }
% 0.65/0.56 tuple(true, ifeq(true, true, ifeq(greater(t2, t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(i(x, t2), i(x, t1)), true), true), true), true), true), true))
% 0.65/0.56 = { by axiom 7 (t12_FOL_4) R->L }
% 0.65/0.56 tuple(true, ifeq(reorganization_free(x, t1, t2), true, ifeq(greater(t2, t1), true, ifeq(inertia(x, i(x, t2), t2), true, ifeq(inertia(x, i(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(i(x, t2), i(x, t1)), true), true), true), true), true), true))
% 0.65/0.56 = { by axiom 13 (t2_FOL) }
% 0.65/0.56 tuple(true, true)
% 0.65/0.56 % SZS output end Proof
% 0.65/0.56
% 0.65/0.56 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------