TSTP Solution File: SYN718-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN718-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n007.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 : Fri Sep 1 03:35:49 EDT 2023
% Result : Unsatisfiable 4.29s 0.95s
% Output : Proof 4.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN718-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 16:46:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.29/0.95 Command-line arguments: --flatten
% 4.29/0.95
% 4.29/0.95 % SZS status Unsatisfiable
% 4.29/0.95
% 4.93/0.99 % SZS output start Proof
% 4.93/0.99 Take the following subset of the input axioms:
% 4.93/1.00 fof(not_p57_105, negated_conjecture, ~p57(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)))).
% 4.93/1.00 fof(p16_38, negated_conjecture, p16(f17(c68, c69), c70)).
% 4.93/1.00 fof(p20_26, negated_conjecture, ![X41]: p20(X41, X41)).
% 4.93/1.00 fof(p21_101, negated_conjecture, ![X51, X52, X53, X54]: (p21(f22(X51, X52), f22(X53, X54)) | (~p20(X51, X53) | ~p3(X52, X54)))).
% 4.93/1.00 fof(p25_23, negated_conjecture, ![X58]: p25(X58, X58)).
% 4.93/1.00 fof(p3_36, negated_conjecture, p3(c84, f10(c72, c73))).
% 4.93/1.00 fof(p57_107, negated_conjecture, ![X200, X201, X202, X203]: (p57(f26(f30(c85, X200), X201), X202) | (~p57(f26(f30(c85, X200), X201), X203) | ~p57(f26(f30(c85, X200), X203), X202)))).
% 4.93/1.00 fof(p57_72, negated_conjecture, ![X197, X198, X199]: (p57(f26(f30(c85, X197), X198), X199) | ~p57(f26(X197, X198), X199))).
% 4.93/1.00 fof(p57_76, negated_conjecture, ![X193, X194, X196, X195]: (p57(X193, X194) | (~p25(X196, X193) | (~p57(X196, X195) | ~p21(X195, X194))))).
% 4.93/1.00 fof(p57_80, negated_conjecture, p57(f26(c70, f22(f24(c71, c81), c82)), f22(f24(c71, c83), c84))).
% 4.93/1.00 fof(p57_81, negated_conjecture, p57(f26(c70, f22(f24(c71, c79), c80)), f22(f24(c71, c81), c82))).
% 4.93/1.00 fof(p60_33, negated_conjecture, p60(c77, c70)).
% 4.93/1.00
% 4.93/1.00 Now clausify the problem and encode Horn clauses using encoding 3 of
% 4.93/1.00 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 4.93/1.00 We repeatedly replace C & s=t => u=v by the two clauses:
% 4.93/1.00 fresh(y, y, x1...xn) = u
% 4.93/1.00 C => fresh(s, t, x1...xn) = v
% 4.93/1.00 where fresh is a fresh function symbol and x1..xn are the free
% 4.93/1.00 variables of u and v.
% 4.93/1.00 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 4.93/1.00 input problem has no model of domain size 1).
% 4.93/1.00
% 4.93/1.00 The encoding turns the above axioms into the following unit equations and goals:
% 4.93/1.00
% 4.93/1.00 Axiom 1 (p60_33): p60(c77, c70) = true2.
% 4.93/1.00 Axiom 2 (p20_26): p20(X, X) = true2.
% 4.93/1.00 Axiom 3 (p25_23): p25(X, X) = true2.
% 4.93/1.00 Axiom 4 (p57_76): fresh138(X, X, Y, Z) = true2.
% 4.93/1.00 Axiom 5 (p16_38): p16(f17(c68, c69), c70) = true2.
% 4.93/1.00 Axiom 6 (p3_36): p3(c84, f10(c72, c73)) = true2.
% 4.93/1.00 Axiom 7 (p57_107): fresh21(X, X, Y, Z, W) = true2.
% 4.93/1.00 Axiom 8 (p57_72): fresh20(X, X, Y, Z, W) = true2.
% 4.93/1.00 Axiom 9 (p57_76): fresh19(X, X, Y, Z, W) = p57(Y, Z).
% 4.93/1.00 Axiom 10 (p57_76): fresh137(X, X, Y, Z, W, V) = fresh138(p25(W, Y), true2, Y, Z).
% 4.93/1.00 Axiom 11 (p21_101): fresh98(X, X, Y, Z, W, V) = true2.
% 4.93/1.00 Axiom 12 (p21_101): fresh99(X, X, Y, Z, W, V) = p21(f22(Y, Z), f22(W, V)).
% 4.93/1.00 Axiom 13 (p57_107): fresh22(X, X, Y, Z, W, V) = p57(f26(f30(c85, Y), Z), W).
% 4.93/1.00 Axiom 14 (p57_76): fresh137(p57(X, Y), true2, Z, W, X, Y) = fresh19(p21(Y, W), true2, Z, W, X).
% 4.93/1.00 Axiom 15 (p21_101): fresh99(p20(X, Y), true2, X, Z, Y, W) = fresh98(p3(Z, W), true2, X, Z, Y, W).
% 4.93/1.00 Axiom 16 (p57_72): fresh20(p57(f26(X, Y), Z), true2, X, Y, Z) = p57(f26(f30(c85, X), Y), Z).
% 4.93/1.00 Axiom 17 (p57_107): fresh22(p57(f26(f30(c85, X), Y), Z), true2, X, W, Z, Y) = fresh21(p57(f26(f30(c85, X), W), Y), true2, X, W, Z).
% 4.93/1.00 Axiom 18 (p57_80): p57(f26(c70, f22(f24(c71, c81), c82)), f22(f24(c71, c83), c84)) = true2.
% 4.93/1.00 Axiom 19 (p57_81): p57(f26(c70, f22(f24(c71, c79), c80)), f22(f24(c71, c81), c82)) = true2.
% 4.93/1.00
% 4.93/1.00 Lemma 20: p16(f17(c68, c69), c70) = p60(c77, c70).
% 4.93/1.00 Proof:
% 4.93/1.00 p16(f17(c68, c69), c70)
% 4.93/1.00 = { by axiom 5 (p16_38) }
% 4.93/1.00 true2
% 4.93/1.00 = { by axiom 1 (p60_33) R->L }
% 4.93/1.00 p60(c77, c70)
% 4.93/1.00
% 4.93/1.00 Lemma 21: p3(c84, f10(c72, c73)) = p16(f17(c68, c69), c70).
% 4.93/1.00 Proof:
% 4.93/1.00 p3(c84, f10(c72, c73))
% 4.93/1.00 = { by axiom 6 (p3_36) }
% 4.93/1.00 true2
% 4.93/1.00 = { by axiom 1 (p60_33) R->L }
% 4.93/1.00 p60(c77, c70)
% 4.93/1.00 = { by lemma 20 R->L }
% 4.93/1.00 p16(f17(c68, c69), c70)
% 4.93/1.00
% 4.93/1.00 Lemma 22: fresh20(X, X, Y, Z, W) = p3(c84, f10(c72, c73)).
% 4.93/1.00 Proof:
% 4.93/1.00 fresh20(X, X, Y, Z, W)
% 4.93/1.00 = { by axiom 8 (p57_72) }
% 4.93/1.00 true2
% 4.93/1.00 = { by axiom 1 (p60_33) R->L }
% 4.93/1.00 p60(c77, c70)
% 4.93/1.00 = { by lemma 20 R->L }
% 4.93/1.00 p16(f17(c68, c69), c70)
% 4.93/1.00 = { by lemma 21 R->L }
% 4.93/1.00 p3(c84, f10(c72, c73))
% 4.93/1.00
% 4.93/1.00 Lemma 23: fresh20(p57(f26(X, Y), Z), p3(c84, f10(c72, c73)), X, Y, Z) = p57(f26(f30(c85, X), Y), Z).
% 4.93/1.00 Proof:
% 4.93/1.00 fresh20(p57(f26(X, Y), Z), p3(c84, f10(c72, c73)), X, Y, Z)
% 4.93/1.00 = { by lemma 21 }
% 4.93/1.00 fresh20(p57(f26(X, Y), Z), p16(f17(c68, c69), c70), X, Y, Z)
% 4.93/1.00 = { by lemma 20 }
% 4.93/1.00 fresh20(p57(f26(X, Y), Z), p60(c77, c70), X, Y, Z)
% 4.93/1.00 = { by axiom 1 (p60_33) }
% 4.93/1.00 fresh20(p57(f26(X, Y), Z), true2, X, Y, Z)
% 4.93/1.00 = { by axiom 16 (p57_72) }
% 4.93/1.00 p57(f26(f30(c85, X), Y), Z)
% 4.93/1.00
% 4.93/1.00 Goal 1 (not_p57_105): p57(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73))) = true2.
% 4.93/1.00 Proof:
% 4.93/1.00 p57(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)))
% 4.93/1.00 = { by axiom 9 (p57_76) R->L }
% 4.93/1.00 fresh19(p3(c84, f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by lemma 21 }
% 4.93/1.00 fresh19(p16(f17(c68, c69), c70), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by lemma 20 }
% 4.93/1.00 fresh19(p60(c77, c70), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by axiom 1 (p60_33) }
% 4.93/1.00 fresh19(true2, p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by axiom 11 (p21_101) R->L }
% 4.93/1.00 fresh19(fresh98(p3(c84, f10(c72, c73)), p3(c84, f10(c72, c73)), f24(c71, c83), c84, f24(c71, c83), f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by lemma 21 }
% 4.93/1.00 fresh19(fresh98(p3(c84, f10(c72, c73)), p16(f17(c68, c69), c70), f24(c71, c83), c84, f24(c71, c83), f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by lemma 20 }
% 4.93/1.00 fresh19(fresh98(p3(c84, f10(c72, c73)), p60(c77, c70), f24(c71, c83), c84, f24(c71, c83), f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by axiom 1 (p60_33) }
% 4.93/1.00 fresh19(fresh98(p3(c84, f10(c72, c73)), true2, f24(c71, c83), c84, f24(c71, c83), f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by axiom 15 (p21_101) R->L }
% 4.93/1.00 fresh19(fresh99(p20(f24(c71, c83), f24(c71, c83)), true2, f24(c71, c83), c84, f24(c71, c83), f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by axiom 1 (p60_33) R->L }
% 4.93/1.00 fresh19(fresh99(p20(f24(c71, c83), f24(c71, c83)), p60(c77, c70), f24(c71, c83), c84, f24(c71, c83), f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by lemma 20 R->L }
% 4.93/1.00 fresh19(fresh99(p20(f24(c71, c83), f24(c71, c83)), p16(f17(c68, c69), c70), f24(c71, c83), c84, f24(c71, c83), f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by lemma 21 R->L }
% 4.93/1.00 fresh19(fresh99(p20(f24(c71, c83), f24(c71, c83)), p3(c84, f10(c72, c73)), f24(c71, c83), c84, f24(c71, c83), f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by axiom 2 (p20_26) }
% 4.93/1.00 fresh19(fresh99(true2, p3(c84, f10(c72, c73)), f24(c71, c83), c84, f24(c71, c83), f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by axiom 1 (p60_33) R->L }
% 4.93/1.00 fresh19(fresh99(p60(c77, c70), p3(c84, f10(c72, c73)), f24(c71, c83), c84, f24(c71, c83), f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.00 = { by lemma 20 R->L }
% 4.93/1.01 fresh19(fresh99(p16(f17(c68, c69), c70), p3(c84, f10(c72, c73)), f24(c71, c83), c84, f24(c71, c83), f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.01 = { by lemma 21 R->L }
% 4.93/1.01 fresh19(fresh99(p3(c84, f10(c72, c73)), p3(c84, f10(c72, c73)), f24(c71, c83), c84, f24(c71, c83), f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.01 = { by axiom 12 (p21_101) }
% 4.93/1.01 fresh19(p21(f22(f24(c71, c83), c84), f22(f24(c71, c83), f10(c72, c73))), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.01 = { by lemma 21 }
% 4.93/1.01 fresh19(p21(f22(f24(c71, c83), c84), f22(f24(c71, c83), f10(c72, c73))), p16(f17(c68, c69), c70), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.01 = { by lemma 20 }
% 4.93/1.01 fresh19(p21(f22(f24(c71, c83), c84), f22(f24(c71, c83), f10(c72, c73))), p60(c77, c70), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.01 = { by axiom 1 (p60_33) }
% 4.93/1.01 fresh19(p21(f22(f24(c71, c83), c84), f22(f24(c71, c83), f10(c72, c73))), true2, f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)))
% 4.93/1.01 = { by axiom 14 (p57_76) R->L }
% 4.93/1.01 fresh137(p57(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84)), true2, f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by axiom 1 (p60_33) R->L }
% 4.93/1.01 fresh137(p57(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84)), p60(c77, c70), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by lemma 20 R->L }
% 4.93/1.01 fresh137(p57(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84)), p16(f17(c68, c69), c70), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by lemma 21 R->L }
% 4.93/1.01 fresh137(p57(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by axiom 13 (p57_107) R->L }
% 4.93/1.01 fresh137(fresh22(p3(c84, f10(c72, c73)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by lemma 22 R->L }
% 4.93/1.01 fresh137(fresh22(fresh20(p3(c84, f10(c72, c73)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c81), c82), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by lemma 21 }
% 4.93/1.01 fresh137(fresh22(fresh20(p16(f17(c68, c69), c70), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c81), c82), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by lemma 20 }
% 4.93/1.01 fresh137(fresh22(fresh20(p60(c77, c70), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c81), c82), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by axiom 1 (p60_33) }
% 4.93/1.01 fresh137(fresh22(fresh20(true2, p3(c84, f10(c72, c73)), c70, f22(f24(c71, c81), c82), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by axiom 18 (p57_80) R->L }
% 4.93/1.01 fresh137(fresh22(fresh20(p57(f26(c70, f22(f24(c71, c81), c82)), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c81), c82), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by lemma 23 }
% 4.93/1.01 fresh137(fresh22(p57(f26(f30(c85, c70), f22(f24(c71, c81), c82)), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by axiom 13 (p57_107) R->L }
% 4.93/1.01 fresh137(fresh22(fresh22(X, X, c70, f22(f24(c71, c81), c82), f22(f24(c71, c83), c84), Y), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by lemma 21 }
% 4.93/1.01 fresh137(fresh22(fresh22(X, X, c70, f22(f24(c71, c81), c82), f22(f24(c71, c83), c84), Y), p16(f17(c68, c69), c70), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by lemma 20 }
% 4.93/1.01 fresh137(fresh22(fresh22(X, X, c70, f22(f24(c71, c81), c82), f22(f24(c71, c83), c84), Y), p60(c77, c70), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by axiom 1 (p60_33) }
% 4.93/1.01 fresh137(fresh22(fresh22(X, X, c70, f22(f24(c71, c81), c82), f22(f24(c71, c83), c84), Y), true2, c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by axiom 13 (p57_107) }
% 4.93/1.01 fresh137(fresh22(p57(f26(f30(c85, c70), f22(f24(c71, c81), c82)), f22(f24(c71, c83), c84)), true2, c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by axiom 17 (p57_107) }
% 4.93/1.01 fresh137(fresh21(p57(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c81), c82)), true2, c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by axiom 13 (p57_107) R->L }
% 4.93/1.01 fresh137(fresh21(fresh22(Z, Z, c70, f22(f24(c71, c79), c80), f22(f24(c71, c81), c82), W), true2, c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by axiom 1 (p60_33) R->L }
% 4.93/1.01 fresh137(fresh21(fresh22(Z, Z, c70, f22(f24(c71, c79), c80), f22(f24(c71, c81), c82), W), p60(c77, c70), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by lemma 20 R->L }
% 4.93/1.01 fresh137(fresh21(fresh22(Z, Z, c70, f22(f24(c71, c79), c80), f22(f24(c71, c81), c82), W), p16(f17(c68, c69), c70), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by lemma 21 R->L }
% 4.93/1.01 fresh137(fresh21(fresh22(Z, Z, c70, f22(f24(c71, c79), c80), f22(f24(c71, c81), c82), W), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by axiom 13 (p57_107) }
% 4.93/1.01 fresh137(fresh21(p57(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by lemma 23 R->L }
% 4.93/1.01 fresh137(fresh21(fresh20(p57(f26(c70, f22(f24(c71, c79), c80)), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.01 = { by axiom 19 (p57_81) }
% 4.93/1.01 fresh137(fresh21(fresh20(true2, p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.02 = { by axiom 1 (p60_33) R->L }
% 4.93/1.02 fresh137(fresh21(fresh20(p60(c77, c70), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.02 = { by lemma 20 R->L }
% 4.93/1.02 fresh137(fresh21(fresh20(p16(f17(c68, c69), c70), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.02 = { by lemma 21 R->L }
% 4.93/1.02 fresh137(fresh21(fresh20(p3(c84, f10(c72, c73)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c81), c82)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.02 = { by lemma 22 }
% 4.93/1.02 fresh137(fresh21(p3(c84, f10(c72, c73)), p3(c84, f10(c72, c73)), c70, f22(f24(c71, c79), c80), f22(f24(c71, c83), c84)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.02 = { by axiom 7 (p57_107) }
% 4.93/1.02 fresh137(true2, p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.02 = { by axiom 1 (p60_33) R->L }
% 4.93/1.02 fresh137(p60(c77, c70), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.02 = { by lemma 20 R->L }
% 4.93/1.02 fresh137(p16(f17(c68, c69), c70), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.02 = { by lemma 21 R->L }
% 4.93/1.02 fresh137(p3(c84, f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), c84))
% 4.93/1.02 = { by axiom 10 (p57_76) }
% 4.93/1.02 fresh138(p25(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f26(f30(c85, c70), f22(f24(c71, c79), c80))), true2, f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)))
% 4.93/1.02 = { by axiom 1 (p60_33) R->L }
% 4.93/1.02 fresh138(p25(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f26(f30(c85, c70), f22(f24(c71, c79), c80))), p60(c77, c70), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)))
% 4.93/1.02 = { by lemma 20 R->L }
% 4.93/1.02 fresh138(p25(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f26(f30(c85, c70), f22(f24(c71, c79), c80))), p16(f17(c68, c69), c70), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)))
% 4.93/1.02 = { by lemma 21 R->L }
% 4.93/1.02 fresh138(p25(f26(f30(c85, c70), f22(f24(c71, c79), c80)), f26(f30(c85, c70), f22(f24(c71, c79), c80))), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)))
% 4.93/1.02 = { by axiom 3 (p25_23) }
% 4.93/1.02 fresh138(true2, p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)))
% 4.93/1.02 = { by axiom 1 (p60_33) R->L }
% 4.93/1.02 fresh138(p60(c77, c70), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)))
% 4.93/1.02 = { by lemma 20 R->L }
% 4.93/1.02 fresh138(p16(f17(c68, c69), c70), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)))
% 4.93/1.02 = { by lemma 21 R->L }
% 4.93/1.02 fresh138(p3(c84, f10(c72, c73)), p3(c84, f10(c72, c73)), f26(f30(c85, c70), f22(f24(c71, c79), c80)), f22(f24(c71, c83), f10(c72, c73)))
% 4.93/1.02 = { by axiom 4 (p57_76) }
% 4.93/1.02 true2
% 4.93/1.02 % SZS output end Proof
% 4.93/1.02
% 4.93/1.02 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------