TSTP Solution File: CSR061+2 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR061+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 21:41:34 EDT 2023
% Result : Theorem 231.31s 30.25s
% Output : Proof 232.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : CSR061+2 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.09 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Mon Aug 28 10:03:00 EDT 2023
% 0.09/0.28 % CPUTime :
% 231.31/30.25 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 231.31/30.25
% 231.31/30.25 % SZS status Theorem
% 231.31/30.25
% 232.14/30.34 % SZS output start Proof
% 232.14/30.34 Take the following subset of the input axioms:
% 232.14/30.34 fof(ax1_100, axiom, genls(c_tptpcol_6_116738, c_tptpcol_5_114690)).
% 232.14/30.34 fof(ax1_1120, axiom, ![X, Y]: (disjointwith(X, Y) => disjointwith(Y, X))).
% 232.14/30.34 fof(ax1_1121, axiom, ![ARG1, OLD, NEW]: ((disjointwith(ARG1, OLD) & genls(NEW, OLD)) => disjointwith(ARG1, NEW))).
% 232.14/30.34 fof(ax1_129, axiom, genls(c_tptpcol_11_118084, c_tptpcol_10_118020)).
% 232.14/30.34 fof(ax1_160, axiom, genls(c_tptpcol_10_118020, c_tptpcol_9_118019)).
% 232.14/30.34 fof(ax1_215, axiom, genls(c_tptpcol_7_113665, c_tptpcol_6_112641)).
% 232.14/30.34 fof(ax1_235, axiom, genls(c_tptpcol_4_114689, c_tptpcol_3_114688)).
% 232.14/30.34 fof(ax1_258, axiom, genls(c_tptpcol_12_118116, c_tptpcol_11_118084)).
% 232.14/30.34 fof(ax1_356, axiom, genls(c_tptpcol_8_117763, c_tptpcol_7_117762)).
% 232.14/30.34 fof(ax1_361, axiom, genls(c_tptpcol_7_117762, c_tptpcol_6_116738)).
% 232.14/30.34 fof(ax1_387, axiom, genls(c_tptpcol_9_118019, c_tptpcol_8_117763)).
% 232.14/30.34 fof(ax1_393, axiom, genls(c_tptpcol_6_112641, c_tptpcol_5_110593)).
% 232.14/30.34 fof(ax1_401, axiom, genls(c_tptpcol_8_114177, c_tptpcol_7_113665)).
% 232.14/30.34 fof(ax1_422, axiom, genls(c_tptpcol_13_118117, c_tptpcol_12_118116)).
% 232.14/30.34 fof(ax1_487, axiom, disjointwith(c_tptpcol_3_98305, c_tptpcol_3_114688)).
% 232.14/30.34 fof(ax1_489, axiom, genls(c_tptpcol_5_110593, c_tptpcol_4_106497)).
% 232.14/30.34 fof(ax1_499, axiom, genls(c_tptpcol_14_118118, c_tptpcol_13_118117)).
% 232.14/30.34 fof(ax1_68, axiom, genls(c_tptpcol_4_106497, c_tptpcol_3_98305)).
% 232.14/30.34 fof(ax1_70, axiom, genls(c_tptpcol_5_114690, c_tptpcol_4_114689)).
% 232.14/30.34 fof(query111, conjecture, mtvisible(c_timehasnoendmt) => disjointwith(c_tptpcol_8_114177, c_tptpcol_14_118118)).
% 232.14/30.34
% 232.14/30.35 Now clausify the problem and encode Horn clauses using encoding 3 of
% 232.14/30.35 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 232.14/30.35 We repeatedly replace C & s=t => u=v by the two clauses:
% 232.14/30.35 fresh(y, y, x1...xn) = u
% 232.14/30.35 C => fresh(s, t, x1...xn) = v
% 232.14/30.35 where fresh is a fresh function symbol and x1..xn are the free
% 232.14/30.35 variables of u and v.
% 232.14/30.35 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 232.14/30.35 input problem has no model of domain size 1).
% 232.14/30.35
% 232.14/30.35 The encoding turns the above axioms into the following unit equations and goals:
% 232.14/30.35
% 232.14/30.35 Axiom 1 (ax1_487): disjointwith(c_tptpcol_3_98305, c_tptpcol_3_114688) = true2.
% 232.14/30.35 Axiom 2 (ax1_70): genls(c_tptpcol_5_114690, c_tptpcol_4_114689) = true2.
% 232.14/30.35 Axiom 3 (ax1_235): genls(c_tptpcol_4_114689, c_tptpcol_3_114688) = true2.
% 232.14/30.35 Axiom 4 (ax1_100): genls(c_tptpcol_6_116738, c_tptpcol_5_114690) = true2.
% 232.14/30.35 Axiom 5 (ax1_129): genls(c_tptpcol_11_118084, c_tptpcol_10_118020) = true2.
% 232.14/30.35 Axiom 6 (ax1_160): genls(c_tptpcol_10_118020, c_tptpcol_9_118019) = true2.
% 232.14/30.35 Axiom 7 (ax1_387): genls(c_tptpcol_9_118019, c_tptpcol_8_117763) = true2.
% 232.14/30.35 Axiom 8 (ax1_215): genls(c_tptpcol_7_113665, c_tptpcol_6_112641) = true2.
% 232.14/30.35 Axiom 9 (ax1_393): genls(c_tptpcol_6_112641, c_tptpcol_5_110593) = true2.
% 232.14/30.35 Axiom 10 (ax1_258): genls(c_tptpcol_12_118116, c_tptpcol_11_118084) = true2.
% 232.14/30.35 Axiom 11 (ax1_356): genls(c_tptpcol_8_117763, c_tptpcol_7_117762) = true2.
% 232.14/30.35 Axiom 12 (ax1_361): genls(c_tptpcol_7_117762, c_tptpcol_6_116738) = true2.
% 232.14/30.35 Axiom 13 (ax1_489): genls(c_tptpcol_5_110593, c_tptpcol_4_106497) = true2.
% 232.14/30.35 Axiom 14 (ax1_401): genls(c_tptpcol_8_114177, c_tptpcol_7_113665) = true2.
% 232.14/30.35 Axiom 15 (ax1_422): genls(c_tptpcol_13_118117, c_tptpcol_12_118116) = true2.
% 232.14/30.35 Axiom 16 (ax1_499): genls(c_tptpcol_14_118118, c_tptpcol_13_118117) = true2.
% 232.14/30.35 Axiom 17 (ax1_68): genls(c_tptpcol_4_106497, c_tptpcol_3_98305) = true2.
% 232.14/30.35 Axiom 18 (ax1_1120): fresh686(X, X, Y, Z) = true2.
% 232.14/30.35 Axiom 19 (ax1_1121): fresh684(X, X, Y, Z) = true2.
% 232.14/30.35 Axiom 20 (ax1_1121): fresh685(X, X, Y, Z, W) = disjointwith(Y, W).
% 232.14/30.35 Axiom 21 (ax1_1120): fresh686(disjointwith(X, Y), true2, X, Y) = disjointwith(Y, X).
% 232.14/30.35 Axiom 22 (ax1_1121): fresh685(genls(X, Y), true2, Z, Y, X) = fresh684(disjointwith(Z, Y), true2, Z, X).
% 232.14/30.35
% 232.14/30.35 Goal 1 (query111_1): disjointwith(c_tptpcol_8_114177, c_tptpcol_14_118118) = true2.
% 232.14/30.35 Proof:
% 232.14/30.35 disjointwith(c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.35 fresh685(true2, true2, c_tptpcol_8_114177, c_tptpcol_13_118117, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 16 (ax1_499) R->L }
% 232.14/30.35 fresh685(genls(c_tptpcol_14_118118, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_13_118117, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 22 (ax1_1121) }
% 232.14/30.35 fresh684(disjointwith(c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.35 fresh684(fresh685(true2, true2, c_tptpcol_8_114177, c_tptpcol_12_118116, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 15 (ax1_422) R->L }
% 232.14/30.35 fresh684(fresh685(genls(c_tptpcol_13_118117, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_12_118116, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 22 (ax1_1121) }
% 232.14/30.35 fresh684(fresh684(disjointwith(c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.35 fresh684(fresh684(fresh685(true2, true2, c_tptpcol_8_114177, c_tptpcol_11_118084, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 10 (ax1_258) R->L }
% 232.14/30.35 fresh684(fresh684(fresh685(genls(c_tptpcol_12_118116, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_11_118084, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 22 (ax1_1121) }
% 232.14/30.35 fresh684(fresh684(fresh684(disjointwith(c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.35 fresh684(fresh684(fresh684(fresh685(true2, true2, c_tptpcol_8_114177, c_tptpcol_10_118020, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 5 (ax1_129) R->L }
% 232.14/30.35 fresh684(fresh684(fresh684(fresh685(genls(c_tptpcol_11_118084, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_10_118020, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 22 (ax1_1121) }
% 232.14/30.35 fresh684(fresh684(fresh684(fresh684(disjointwith(c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.35 fresh684(fresh684(fresh684(fresh684(fresh685(true2, true2, c_tptpcol_8_114177, c_tptpcol_9_118019, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 6 (ax1_160) R->L }
% 232.14/30.35 fresh684(fresh684(fresh684(fresh684(fresh685(genls(c_tptpcol_10_118020, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_9_118019, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 22 (ax1_1121) }
% 232.14/30.35 fresh684(fresh684(fresh684(fresh684(fresh684(disjointwith(c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.35 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh685(true2, true2, c_tptpcol_8_114177, c_tptpcol_8_117763, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 7 (ax1_387) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh685(genls(c_tptpcol_9_118019, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_8_117763, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 22 (ax1_1121) }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(disjointwith(c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh685(true2, true2, c_tptpcol_8_114177, c_tptpcol_7_117762, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 11 (ax1_356) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh685(genls(c_tptpcol_8_117763, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_7_117762, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 22 (ax1_1121) }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(disjointwith(c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh685(true2, true2, c_tptpcol_8_114177, c_tptpcol_6_116738, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 12 (ax1_361) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh685(genls(c_tptpcol_7_117762, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_6_116738, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 22 (ax1_1121) }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(disjointwith(c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh685(true2, true2, c_tptpcol_8_114177, c_tptpcol_5_114690, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 4 (ax1_100) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh685(genls(c_tptpcol_6_116738, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_5_114690, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 22 (ax1_1121) }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(disjointwith(c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh685(true2, true2, c_tptpcol_8_114177, c_tptpcol_4_114689, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 2 (ax1_70) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh685(genls(c_tptpcol_5_114690, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_4_114689, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 22 (ax1_1121) }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(disjointwith(c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh685(true2, true2, c_tptpcol_8_114177, c_tptpcol_3_114688, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 3 (ax1_235) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh685(genls(c_tptpcol_4_114689, c_tptpcol_3_114688), true2, c_tptpcol_8_114177, c_tptpcol_3_114688, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 22 (ax1_1121) }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(disjointwith(c_tptpcol_8_114177, c_tptpcol_3_114688), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 21 (ax1_1120) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(disjointwith(c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh685(true2, true2, c_tptpcol_3_114688, c_tptpcol_7_113665, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 14 (ax1_401) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh685(genls(c_tptpcol_8_114177, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_7_113665, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 22 (ax1_1121) }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(disjointwith(c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh685(true2, true2, c_tptpcol_3_114688, c_tptpcol_6_112641, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 8 (ax1_215) R->L }
% 232.14/30.36 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh685(genls(c_tptpcol_7_113665, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_6_112641, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.36 = { by axiom 22 (ax1_1121) }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(disjointwith(c_tptpcol_3_114688, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh685(true2, true2, c_tptpcol_3_114688, c_tptpcol_5_110593, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 9 (ax1_393) R->L }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh685(genls(c_tptpcol_6_112641, c_tptpcol_5_110593), true2, c_tptpcol_3_114688, c_tptpcol_5_110593, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 22 (ax1_1121) }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh684(disjointwith(c_tptpcol_3_114688, c_tptpcol_5_110593), true2, c_tptpcol_3_114688, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh684(fresh685(true2, true2, c_tptpcol_3_114688, c_tptpcol_4_106497, c_tptpcol_5_110593), true2, c_tptpcol_3_114688, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 13 (ax1_489) R->L }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh684(fresh685(genls(c_tptpcol_5_110593, c_tptpcol_4_106497), true2, c_tptpcol_3_114688, c_tptpcol_4_106497, c_tptpcol_5_110593), true2, c_tptpcol_3_114688, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 22 (ax1_1121) }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh684(fresh684(disjointwith(c_tptpcol_3_114688, c_tptpcol_4_106497), true2, c_tptpcol_3_114688, c_tptpcol_5_110593), true2, c_tptpcol_3_114688, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 20 (ax1_1121) R->L }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh684(fresh684(fresh685(true2, true2, c_tptpcol_3_114688, c_tptpcol_3_98305, c_tptpcol_4_106497), true2, c_tptpcol_3_114688, c_tptpcol_5_110593), true2, c_tptpcol_3_114688, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 17 (ax1_68) R->L }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh684(fresh684(fresh685(genls(c_tptpcol_4_106497, c_tptpcol_3_98305), true2, c_tptpcol_3_114688, c_tptpcol_3_98305, c_tptpcol_4_106497), true2, c_tptpcol_3_114688, c_tptpcol_5_110593), true2, c_tptpcol_3_114688, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 22 (ax1_1121) }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh684(fresh684(fresh684(disjointwith(c_tptpcol_3_114688, c_tptpcol_3_98305), true2, c_tptpcol_3_114688, c_tptpcol_4_106497), true2, c_tptpcol_3_114688, c_tptpcol_5_110593), true2, c_tptpcol_3_114688, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 21 (ax1_1120) R->L }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(disjointwith(c_tptpcol_3_98305, c_tptpcol_3_114688), true2, c_tptpcol_3_98305, c_tptpcol_3_114688), true2, c_tptpcol_3_114688, c_tptpcol_4_106497), true2, c_tptpcol_3_114688, c_tptpcol_5_110593), true2, c_tptpcol_3_114688, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 1 (ax1_487) }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(true2, true2, c_tptpcol_3_98305, c_tptpcol_3_114688), true2, c_tptpcol_3_114688, c_tptpcol_4_106497), true2, c_tptpcol_3_114688, c_tptpcol_5_110593), true2, c_tptpcol_3_114688, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 18 (ax1_1120) }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh684(fresh684(fresh684(true2, true2, c_tptpcol_3_114688, c_tptpcol_4_106497), true2, c_tptpcol_3_114688, c_tptpcol_5_110593), true2, c_tptpcol_3_114688, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 19 (ax1_1121) }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh684(fresh684(true2, true2, c_tptpcol_3_114688, c_tptpcol_5_110593), true2, c_tptpcol_3_114688, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 19 (ax1_1121) }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(fresh684(true2, true2, c_tptpcol_3_114688, c_tptpcol_6_112641), true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 19 (ax1_1121) }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(fresh684(true2, true2, c_tptpcol_3_114688, c_tptpcol_7_113665), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.37 = { by axiom 19 (ax1_1121) }
% 232.14/30.37 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(fresh684(true2, true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.38 = { by axiom 19 (ax1_1121) }
% 232.14/30.38 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh686(true2, true2, c_tptpcol_3_114688, c_tptpcol_8_114177), true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.38 = { by axiom 18 (ax1_1120) }
% 232.14/30.38 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(true2, true2, c_tptpcol_8_114177, c_tptpcol_4_114689), true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.38 = { by axiom 19 (ax1_1121) }
% 232.14/30.38 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(true2, true2, c_tptpcol_8_114177, c_tptpcol_5_114690), true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.38 = { by axiom 19 (ax1_1121) }
% 232.14/30.38 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(true2, true2, c_tptpcol_8_114177, c_tptpcol_6_116738), true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.38 = { by axiom 19 (ax1_1121) }
% 232.14/30.38 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(true2, true2, c_tptpcol_8_114177, c_tptpcol_7_117762), true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.38 = { by axiom 19 (ax1_1121) }
% 232.14/30.38 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(true2, true2, c_tptpcol_8_114177, c_tptpcol_8_117763), true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.38 = { by axiom 19 (ax1_1121) }
% 232.14/30.38 fresh684(fresh684(fresh684(fresh684(fresh684(fresh684(true2, true2, c_tptpcol_8_114177, c_tptpcol_9_118019), true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.38 = { by axiom 19 (ax1_1121) }
% 232.14/30.38 fresh684(fresh684(fresh684(fresh684(fresh684(true2, true2, c_tptpcol_8_114177, c_tptpcol_10_118020), true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.38 = { by axiom 19 (ax1_1121) }
% 232.14/30.38 fresh684(fresh684(fresh684(fresh684(true2, true2, c_tptpcol_8_114177, c_tptpcol_11_118084), true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.38 = { by axiom 19 (ax1_1121) }
% 232.14/30.38 fresh684(fresh684(fresh684(true2, true2, c_tptpcol_8_114177, c_tptpcol_12_118116), true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.38 = { by axiom 19 (ax1_1121) }
% 232.14/30.38 fresh684(fresh684(true2, true2, c_tptpcol_8_114177, c_tptpcol_13_118117), true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.38 = { by axiom 19 (ax1_1121) }
% 232.14/30.38 fresh684(true2, true2, c_tptpcol_8_114177, c_tptpcol_14_118118)
% 232.14/30.38 = { by axiom 19 (ax1_1121) }
% 232.14/30.38 true2
% 232.14/30.38 % SZS output end Proof
% 232.14/30.38
% 232.14/30.38 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------