TSTP Solution File: SYN708-10 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN708-10 : TPTP v8.1.2. Released v7.5.0.
% 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 : n002.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 03:35:47 EDT 2023
% Result : Unsatisfiable 17.84s 2.65s
% Output : Proof 17.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN708-10 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 18:01:33 EDT 2023
% 0.13/0.34 % CPUTime :
% 17.84/2.65 Command-line arguments: --flip-ordering --lhs-weight 1 --depth-weight 60 --distributivity-heuristic
% 17.84/2.65
% 17.84/2.65 % SZS status Unsatisfiable
% 17.84/2.65
% 17.84/2.66 % SZS output start Proof
% 17.84/2.66 Axiom 1 (c56_is_p38_1): p38(c56) = true.
% 17.84/2.66 Axiom 2 (p16_8): p16(X, X) = true.
% 17.84/2.66 Axiom 3 (p10_3): p10(X, X) = true.
% 17.84/2.66 Axiom 4 (p37_13): p37(f15(c56), c48) = true.
% 17.84/2.66 Axiom 5 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 17.84/2.66 Axiom 6 (ifeq_axiom_001): ifeq(X, X, Y, Z) = Y.
% 17.84/2.66 Axiom 7 (p38_15): ifeq2(p38(X), true, p38(f15(X)), true) = true.
% 17.84/2.66 Axiom 8 (p16_36): ifeq2(p38(X), true, p16(f19(f15(X)), f28(f19(X))), true) = true.
% 17.84/2.66 Axiom 9 (f11_is_p38_64): p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))) = true.
% 17.84/2.66 Axiom 10 (p10_66): p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))) = true.
% 17.84/2.66 Axiom 11 (p39_52): ifeq2(p39(X, Y), true, ifeq2(p16(X, Z), true, ifeq2(p16(Y, W), true, p39(Z, W), true), true), true) = true.
% 17.84/2.66 Axiom 12 (p39_54): ifeq2(p37(X, Y), true, ifeq2(p38(Y), true, ifeq2(p38(X), true, p39(f19(X), f19(Y)), true), true), true) = true.
% 17.84/2.66 Axiom 13 (p37_51): ifeq2(p37(X, Y), true, ifeq2(p10(X, Z), true, ifeq2(p10(Y, W), true, p37(Z, W), true), true), true) = true.
% 17.84/2.66 Axiom 14 (not_p39_69): ifeq(p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, a, b) = b.
% 17.84/2.66
% 17.84/2.66 Goal 1 (goal): a = b.
% 17.84/2.66 Proof:
% 17.84/2.66 a
% 17.84/2.66 = { by axiom 6 (ifeq_axiom_001) R->L }
% 17.84/2.66 ifeq(true, true, a, b)
% 17.84/2.66 = { by axiom 11 (p39_52) R->L }
% 17.84/2.66 ifeq(ifeq2(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, ifeq2(p16(f19(f15(c56)), f28(f19(c56))), true, ifeq2(p16(f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true), true, a, b)
% 17.84/2.66 = { by axiom 2 (p16_8) }
% 17.84/2.66 ifeq(ifeq2(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, ifeq2(p16(f19(f15(c56)), f28(f19(c56))), true, ifeq2(true, true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true), true, a, b)
% 17.84/2.66 = { by axiom 5 (ifeq_axiom) }
% 17.84/2.66 ifeq(ifeq2(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, ifeq2(p16(f19(f15(c56)), f28(f19(c56))), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true, a, b)
% 17.84/2.66 = { by axiom 5 (ifeq_axiom) R->L }
% 17.84/2.66 ifeq(ifeq2(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, ifeq2(ifeq2(true, true, p16(f19(f15(c56)), f28(f19(c56))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true, a, b)
% 17.84/2.66 = { by axiom 1 (c56_is_p38_1) R->L }
% 17.84/2.66 ifeq(ifeq2(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, ifeq2(ifeq2(p38(c56), true, p16(f19(f15(c56)), f28(f19(c56))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true, a, b)
% 17.84/2.66 = { by axiom 8 (p16_36) }
% 17.84/2.66 ifeq(ifeq2(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, ifeq2(true, true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true, a, b)
% 17.84/2.66 = { by axiom 5 (ifeq_axiom) }
% 17.84/2.66 ifeq(ifeq2(p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.66 = { by axiom 5 (ifeq_axiom) R->L }
% 17.84/2.66 ifeq(ifeq2(ifeq2(true, true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.66 = { by axiom 13 (p37_51) R->L }
% 17.84/2.66 ifeq(ifeq2(ifeq2(ifeq2(p37(f15(c56), c48), true, ifeq2(p10(f15(c56), f15(c56)), true, ifeq2(p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true), true), true), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.66 = { by axiom 3 (p10_3) }
% 17.84/2.66 ifeq(ifeq2(ifeq2(ifeq2(p37(f15(c56), c48), true, ifeq2(true, true, ifeq2(p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true), true), true), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.66 = { by axiom 5 (ifeq_axiom) }
% 17.84/2.66 ifeq(ifeq2(ifeq2(ifeq2(p37(f15(c56), c48), true, ifeq2(p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true), true), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.66 = { by axiom 4 (p37_13) }
% 17.84/2.66 ifeq(ifeq2(ifeq2(ifeq2(true, true, ifeq2(p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true), true), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.66 = { by axiom 5 (ifeq_axiom) }
% 17.84/2.66 ifeq(ifeq2(ifeq2(ifeq2(p10(c48, f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.66 = { by axiom 10 (p10_66) }
% 17.84/2.66 ifeq(ifeq2(ifeq2(ifeq2(true, true, p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.66 = { by axiom 5 (ifeq_axiom) }
% 17.84/2.66 ifeq(ifeq2(ifeq2(p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.66 = { by axiom 5 (ifeq_axiom) R->L }
% 17.84/2.67 ifeq(ifeq2(ifeq2(p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq2(true, true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.67 = { by axiom 7 (p38_15) R->L }
% 17.84/2.67 ifeq(ifeq2(ifeq2(p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq2(ifeq2(p38(c56), true, p38(f15(c56)), true), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.67 = { by axiom 1 (c56_is_p38_1) }
% 17.84/2.67 ifeq(ifeq2(ifeq2(p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq2(ifeq2(true, true, p38(f15(c56)), true), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.67 = { by axiom 5 (ifeq_axiom) }
% 17.84/2.67 ifeq(ifeq2(ifeq2(p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq2(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.67 = { by axiom 5 (ifeq_axiom) R->L }
% 17.84/2.67 ifeq(ifeq2(ifeq2(p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq2(true, true, ifeq2(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.67 = { by axiom 9 (f11_is_p38_64) R->L }
% 17.84/2.67 ifeq(ifeq2(ifeq2(p37(f15(c56), f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq2(p38(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44))))), true, ifeq2(p38(f15(c56)), true, p39(f19(f15(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true), true), true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.67 = { by axiom 12 (p39_54) }
% 17.84/2.67 ifeq(ifeq2(true, true, p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true), true, a, b)
% 17.84/2.67 = { by axiom 5 (ifeq_axiom) }
% 17.84/2.67 ifeq(p39(f28(f19(c56)), f19(f11(f13(f5(c44), f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))), f5(c44)))))), true, a, b)
% 17.84/2.67 = { by axiom 14 (not_p39_69) }
% 17.84/2.67 b
% 17.84/2.67 % SZS output end Proof
% 17.84/2.67
% 17.84/2.67 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------