%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : MGT006+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 9.99s 1.77s
% Output : Proof 10.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT006+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 17:19:15 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.99/1.77 Command-line arguments: --no-flatten-goal
% 9.99/1.77
% 9.99/1.77 % SZS status Theorem
% 9.99/1.77
% 10.75/1.81 % SZS output start Proof
% 10.75/1.81 Axiom 1 (t6_FOL): organization(x, t1) = true.
% 10.75/1.81 Axiom 2 (t6_FOL_1): organization(x, t2) = true.
% 10.75/1.81 Axiom 3 (t6_FOL_6): greater(t2, t1) = true.
% 10.75/1.81 Axiom 4 (t6_FOL_7): reorganization_free(x, t1, t2) = true.
% 10.75/1.81 Axiom 5 (t6_FOL_2): reliability(x, r1, t1) = true.
% 10.75/1.81 Axiom 6 (t6_FOL_3): reliability(x, r2, t2) = true.
% 10.75/1.81 Axiom 7 (t6_FOL_4): accountability(x, a1, t1) = true.
% 10.75/1.81 Axiom 8 (t6_FOL_5): accountability(x, a2, t2) = true.
% 10.75/1.81 Axiom 9 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 10.75/1.81 Axiom 10 (mp3): ifeq(organization(X, Y), true, reproducibility(X, rp(X, Y), Y), true) = true.
% 10.75/1.81 Axiom 11 (a4_FOL): ifeq(reorganization_free(X, Y, Z), true, ifeq(greater(Z, Y), true, ifeq(reproducibility(X, W, Z), true, ifeq(reproducibility(X, V, Y), true, ifeq(organization(X, Z), true, ifeq(organization(X, Y), true, greater(W, V), true), true), true), true), true), true) = true.
% 10.75/1.81 Axiom 12 (a2_FOL_2): ifeq(greater(X, Y), true, ifeq(accountability(Z, W, V), true, ifeq(accountability(U, T, S), true, ifeq(reliability(Z, X2, V), true, ifeq(reliability(U, Y2, S), true, ifeq(reproducibility(Z, X, V), true, ifeq(reproducibility(U, Y, S), true, ifeq(organization(Z, V), true, ifeq(organization(U, S), true, greater(W, T), true), true), true), true), true), true), true), true), true) = true.
% 10.75/1.81 Axiom 13 (a2_FOL_1): ifeq(greater(X, Y), true, ifeq(accountability(Z, W, V), true, ifeq(accountability(U, T, S), true, ifeq(reliability(Z, X2, V), true, ifeq(reliability(U, Y2, S), true, ifeq(reproducibility(Z, X, V), true, ifeq(reproducibility(U, Y, S), true, ifeq(organization(Z, V), true, ifeq(organization(U, S), true, greater(X2, Y2), true), true), true), true), true), true), true), true), true) = true.
% 10.75/1.81
% 10.75/1.81 Goal 1 (t6_FOL_8): tuple(greater(r2, r1), greater(a2, a1)) = tuple(true, true).
% 10.75/1.81 Proof:
% 10.75/1.81 tuple(greater(r2, r1), greater(a2, a1))
% 10.75/1.81 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.81 tuple(greater(r2, r1), ifeq(true, true, greater(a2, a1), true))
% 10.75/1.81 = { by axiom 8 (t6_FOL_5) R->L }
% 10.75/1.81 tuple(greater(r2, r1), ifeq(accountability(x, a2, t2), true, greater(a2, a1), true))
% 10.75/1.81 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.81 tuple(greater(r2, r1), ifeq(accountability(x, a2, t2), true, ifeq(true, true, greater(a2, a1), true), true))
% 10.75/1.81 = { by axiom 7 (t6_FOL_4) R->L }
% 10.75/1.81 tuple(greater(r2, r1), ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, greater(a2, a1), true), true))
% 10.75/1.81 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.81 tuple(greater(r2, r1), ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(true, true, greater(a2, a1), true), true), true))
% 10.75/1.81 = { by axiom 10 (mp3) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(ifeq(organization(x, t1), true, reproducibility(x, rp(x, t1), t1), true), true, greater(a2, a1), true), true), true))
% 10.75/1.82 = { by axiom 1 (t6_FOL) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(ifeq(true, true, reproducibility(x, rp(x, t1), t1), true), true, greater(a2, a1), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(true, true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true))
% 10.75/1.82 = { by axiom 10 (mp3) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(ifeq(organization(x, t2), true, reproducibility(x, rp(x, t2), t2), true), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true))
% 10.75/1.82 = { by axiom 2 (t6_FOL_1) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(ifeq(true, true, reproducibility(x, rp(x, t2), t2), true), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(true, true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 11 (a4_FOL) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(reorganization_free(x, t1, t2), true, ifeq(greater(t2, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true), true), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 4 (t6_FOL_7) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(true, true, ifeq(greater(t2, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true), true), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(greater(t2, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 3 (t6_FOL_6) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(true, true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 2 (t6_FOL_1) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(true, true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 1 (t6_FOL) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(true, true, greater(rp(x, t2), rp(x, t1)), true), true), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(ifeq(true, true, reproducibility(x, rp(x, t1), t1), true), true, greater(rp(x, t2), rp(x, t1)), true), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 1 (t6_FOL) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(ifeq(organization(x, t1), true, reproducibility(x, rp(x, t1), t1), true), true, greater(rp(x, t2), rp(x, t1)), true), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 10 (mp3) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(true, true, greater(rp(x, t2), rp(x, t1)), true), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, greater(rp(x, t2), rp(x, t1)), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(ifeq(true, true, reproducibility(x, rp(x, t2), t2), true), true, greater(rp(x, t2), rp(x, t1)), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 2 (t6_FOL_1) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(ifeq(organization(x, t2), true, reproducibility(x, rp(x, t2), t2), true), true, greater(rp(x, t2), rp(x, t1)), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 10 (mp3) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(ifeq(true, true, greater(rp(x, t2), rp(x, t1)), true), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(a2, a1), true), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(true, true, greater(a2, a1), true), true), true), true), true), true))
% 10.75/1.82 = { by axiom 2 (t6_FOL_1) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, greater(a2, a1), true), true), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(true, true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, greater(a2, a1), true), true), true), true), true), true), true))
% 10.75/1.82 = { by axiom 6 (t6_FOL_3) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reliability(x, r2, t2), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, greater(a2, a1), true), true), true), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reliability(x, r2, t2), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(true, true, greater(a2, a1), true), true), true), true), true), true), true), true))
% 10.75/1.82 = { by axiom 1 (t6_FOL) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reliability(x, r2, t2), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(a2, a1), true), true), true), true), true), true), true), true))
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reliability(x, r2, t2), true, ifeq(true, true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(a2, a1), true), true), true), true), true), true), true), true), true))
% 10.75/1.82 = { by axiom 5 (t6_FOL_2) R->L }
% 10.75/1.82 tuple(greater(r2, r1), ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(a2, a1), true), true), true), true), true), true), true), true), true))
% 10.75/1.82 = { by axiom 12 (a2_FOL_2) }
% 10.75/1.82 tuple(greater(r2, r1), true)
% 10.75/1.82 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.82 tuple(ifeq(true, true, greater(r2, r1), true), true)
% 10.75/1.82 = { by axiom 6 (t6_FOL_3) R->L }
% 10.75/1.83 tuple(ifeq(reliability(x, r2, t2), true, greater(r2, r1), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.83 tuple(ifeq(reliability(x, r2, t2), true, ifeq(true, true, greater(r2, r1), true), true), true)
% 10.75/1.83 = { by axiom 5 (t6_FOL_2) R->L }
% 10.75/1.83 tuple(ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, greater(r2, r1), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.83 tuple(ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(true, true, greater(r2, r1), true), true), true), true)
% 10.75/1.83 = { by axiom 10 (mp3) R->L }
% 10.75/1.83 tuple(ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(ifeq(organization(x, t1), true, reproducibility(x, rp(x, t1), t1), true), true, greater(r2, r1), true), true), true), true)
% 10.75/1.83 = { by axiom 1 (t6_FOL) }
% 10.75/1.83 tuple(ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(ifeq(true, true, reproducibility(x, rp(x, t1), t1), true), true, greater(r2, r1), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.83 tuple(ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.83 tuple(ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(true, true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true)
% 10.75/1.83 = { by axiom 10 (mp3) R->L }
% 10.75/1.83 tuple(ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(ifeq(organization(x, t2), true, reproducibility(x, rp(x, t2), t2), true), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true)
% 10.75/1.83 = { by axiom 2 (t6_FOL_1) }
% 10.75/1.83 tuple(ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(ifeq(true, true, reproducibility(x, rp(x, t2), t2), true), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.83 tuple(ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.83 tuple(ifeq(true, true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 11 (a4_FOL) R->L }
% 10.75/1.83 tuple(ifeq(ifeq(reorganization_free(x, t1, t2), true, ifeq(greater(t2, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true), true), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 4 (t6_FOL_7) }
% 10.75/1.83 tuple(ifeq(ifeq(true, true, ifeq(greater(t2, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true), true), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.83 tuple(ifeq(ifeq(greater(t2, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 3 (t6_FOL_6) }
% 10.75/1.83 tuple(ifeq(ifeq(true, true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.83 tuple(ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 2 (t6_FOL_1) }
% 10.75/1.83 tuple(ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(true, true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.83 tuple(ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 1 (t6_FOL) }
% 10.75/1.83 tuple(ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(true, true, greater(rp(x, t2), rp(x, t1)), true), true), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.83 tuple(ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(rp(x, t2), rp(x, t1)), true), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.83 tuple(ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(ifeq(true, true, reproducibility(x, rp(x, t1), t1), true), true, greater(rp(x, t2), rp(x, t1)), true), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 1 (t6_FOL) R->L }
% 10.75/1.83 tuple(ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(ifeq(organization(x, t1), true, reproducibility(x, rp(x, t1), t1), true), true, greater(rp(x, t2), rp(x, t1)), true), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 10 (mp3) }
% 10.75/1.83 tuple(ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(true, true, greater(rp(x, t2), rp(x, t1)), true), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.83 tuple(ifeq(ifeq(reproducibility(x, rp(x, t2), t2), true, greater(rp(x, t2), rp(x, t1)), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.83 tuple(ifeq(ifeq(ifeq(true, true, reproducibility(x, rp(x, t2), t2), true), true, greater(rp(x, t2), rp(x, t1)), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 2 (t6_FOL_1) R->L }
% 10.75/1.83 tuple(ifeq(ifeq(ifeq(organization(x, t2), true, reproducibility(x, rp(x, t2), t2), true), true, greater(rp(x, t2), rp(x, t1)), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 10 (mp3) }
% 10.75/1.83 tuple(ifeq(ifeq(true, true, greater(rp(x, t2), rp(x, t1)), true), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) }
% 10.75/1.83 tuple(ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, greater(r2, r1), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.83 tuple(ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(true, true, greater(r2, r1), true), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 2 (t6_FOL_1) R->L }
% 10.75/1.83 tuple(ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, greater(r2, r1), true), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.83 tuple(ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(true, true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, greater(r2, r1), true), true), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 8 (t6_FOL_5) R->L }
% 10.75/1.83 tuple(ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, greater(r2, r1), true), true), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.83 tuple(ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(true, true, greater(r2, r1), true), true), true), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 1 (t6_FOL) R->L }
% 10.75/1.83 tuple(ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(r2, r1), true), true), true), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 9 (ifeq_axiom) R->L }
% 10.75/1.83 tuple(ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(true, true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(r2, r1), true), true), true), true), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 7 (t6_FOL_4) R->L }
% 10.75/1.83 tuple(ifeq(greater(rp(x, t2), rp(x, t1)), true, ifeq(accountability(x, a2, t2), true, ifeq(accountability(x, a1, t1), true, ifeq(reliability(x, r2, t2), true, ifeq(reliability(x, r1, t1), true, ifeq(reproducibility(x, rp(x, t2), t2), true, ifeq(reproducibility(x, rp(x, t1), t1), true, ifeq(organization(x, t2), true, ifeq(organization(x, t1), true, greater(r2, r1), true), true), true), true), true), true), true), true), true), true)
% 10.75/1.83 = { by axiom 13 (a2_FOL_1) }
% 10.75/1.83 tuple(true, true)
% 10.75/1.83 % SZS output end Proof
% 10.75/1.83
% 10.75/1.83 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------