TSTP Solution File: SYN563-10 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SYN563-10 : 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 : n020.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 03:35:15 EDT 2023
% Result : Unsatisfiable 0.22s 0.54s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SYN563-10 : TPTP v8.1.2. Released v7.5.0.
% 0.14/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 17:30:14 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.54 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.22/0.54
% 0.22/0.54 % SZS status Unsatisfiable
% 0.22/0.54
% 0.22/0.55 % SZS output start Proof
% 0.22/0.55 Axiom 1 (p6_2): p6(X, X) = true.
% 0.22/0.55 Axiom 2 (p2_1): p2(X, X) = true.
% 0.22/0.55 Axiom 3 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 0.22/0.55 Axiom 4 (p2_4): p2(f4(c7), f4(c8)) = true.
% 0.22/0.55 Axiom 5 (ifeq_axiom_001): ifeq(X, X, Y, Z) = Y.
% 0.22/0.55 Axiom 6 (p5_7): p5(f3(f3(X)), f3(f4(X))) = true.
% 0.22/0.55 Axiom 7 (p6_9): ifeq2(p6(c7, X), true, p6(c7, f3(X)), true) = true.
% 0.22/0.55 Axiom 8 (p6_10): ifeq2(p5(X, Y), true, p6(f4(X), Y), true) = true.
% 0.22/0.55 Axiom 9 (not_p6_5): ifeq(p6(f4(c7), f3(f4(c8))), true, a, b) = b.
% 0.22/0.55 Axiom 10 (p2_11): ifeq2(p2(X, Y), true, p2(f3(X), f3(Y)), true) = true.
% 0.22/0.55 Axiom 11 (p5_15): ifeq2(p6(X, Y), true, ifeq2(p5(Y, Z), true, p5(X, Z), true), true) = true.
% 0.22/0.55 Axiom 12 (p6_16): ifeq2(p2(X, Y), true, ifeq2(p2(Z, W), true, ifeq2(p6(Z, X), true, p6(W, Y), true), true), true) = true.
% 0.22/0.55
% 0.22/0.55 Goal 1 (goal): a = b.
% 0.22/0.55 Proof:
% 0.22/0.55 a
% 0.22/0.55 = { by axiom 5 (ifeq_axiom_001) R->L }
% 0.22/0.55 ifeq(true, true, a, b)
% 0.22/0.55 = { by axiom 12 (p6_16) R->L }
% 0.22/0.55 ifeq(ifeq2(p2(f3(f4(c7)), f3(f4(c8))), true, ifeq2(p2(f4(c7), f4(c7)), true, ifeq2(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true), true), true, a, b)
% 0.22/0.55 = { by axiom 2 (p2_1) }
% 0.22/0.55 ifeq(ifeq2(p2(f3(f4(c7)), f3(f4(c8))), true, ifeq2(true, true, ifeq2(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true), true), true, a, b)
% 0.22/0.55 = { by axiom 3 (ifeq_axiom) }
% 0.22/0.55 ifeq(ifeq2(p2(f3(f4(c7)), f3(f4(c8))), true, ifeq2(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true), true, a, b)
% 0.22/0.55 = { by axiom 3 (ifeq_axiom) R->L }
% 0.22/0.55 ifeq(ifeq2(ifeq2(true, true, p2(f3(f4(c7)), f3(f4(c8))), true), true, ifeq2(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true), true, a, b)
% 0.22/0.55 = { by axiom 4 (p2_4) R->L }
% 0.22/0.55 ifeq(ifeq2(ifeq2(p2(f4(c7), f4(c8)), true, p2(f3(f4(c7)), f3(f4(c8))), true), true, ifeq2(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true), true, a, b)
% 0.22/0.55 = { by axiom 10 (p2_11) }
% 0.22/0.55 ifeq(ifeq2(true, true, ifeq2(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true), true, a, b)
% 0.22/0.55 = { by axiom 3 (ifeq_axiom) }
% 0.22/0.55 ifeq(ifeq2(p6(f4(c7), f3(f4(c7))), true, p6(f4(c7), f3(f4(c8))), true), true, a, b)
% 0.22/0.55 = { by axiom 3 (ifeq_axiom) R->L }
% 0.22/0.55 ifeq(ifeq2(ifeq2(true, true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true), true, a, b)
% 0.22/0.55 = { by axiom 11 (p5_15) R->L }
% 0.22/0.55 ifeq(ifeq2(ifeq2(ifeq2(p6(c7, f3(f3(c7))), true, ifeq2(p5(f3(f3(c7)), f3(f4(c7))), true, p5(c7, f3(f4(c7))), true), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true), true, a, b)
% 0.22/0.55 = { by axiom 6 (p5_7) }
% 0.22/0.55 ifeq(ifeq2(ifeq2(ifeq2(p6(c7, f3(f3(c7))), true, ifeq2(true, true, p5(c7, f3(f4(c7))), true), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true), true, a, b)
% 0.22/0.55 = { by axiom 3 (ifeq_axiom) }
% 0.22/0.55 ifeq(ifeq2(ifeq2(ifeq2(p6(c7, f3(f3(c7))), true, p5(c7, f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true), true, a, b)
% 0.22/0.55 = { by axiom 3 (ifeq_axiom) R->L }
% 0.22/0.55 ifeq(ifeq2(ifeq2(ifeq2(ifeq2(true, true, p6(c7, f3(f3(c7))), true), true, p5(c7, f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true), true, a, b)
% 0.22/0.55 = { by axiom 7 (p6_9) R->L }
% 0.22/0.55 ifeq(ifeq2(ifeq2(ifeq2(ifeq2(ifeq2(p6(c7, c7), true, p6(c7, f3(c7)), true), true, p6(c7, f3(f3(c7))), true), true, p5(c7, f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true), true, a, b)
% 0.22/0.55 = { by axiom 1 (p6_2) }
% 0.22/0.55 ifeq(ifeq2(ifeq2(ifeq2(ifeq2(ifeq2(true, true, p6(c7, f3(c7)), true), true, p6(c7, f3(f3(c7))), true), true, p5(c7, f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true), true, a, b)
% 0.22/0.55 = { by axiom 3 (ifeq_axiom) }
% 0.22/0.55 ifeq(ifeq2(ifeq2(ifeq2(ifeq2(p6(c7, f3(c7)), true, p6(c7, f3(f3(c7))), true), true, p5(c7, f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true), true, a, b)
% 0.22/0.55 = { by axiom 7 (p6_9) }
% 0.22/0.55 ifeq(ifeq2(ifeq2(ifeq2(true, true, p5(c7, f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true), true, a, b)
% 0.22/0.55 = { by axiom 3 (ifeq_axiom) }
% 0.22/0.55 ifeq(ifeq2(ifeq2(p5(c7, f3(f4(c7))), true, p6(f4(c7), f3(f4(c7))), true), true, p6(f4(c7), f3(f4(c8))), true), true, a, b)
% 0.22/0.55 = { by axiom 8 (p6_10) }
% 0.22/0.55 ifeq(ifeq2(true, true, p6(f4(c7), f3(f4(c8))), true), true, a, b)
% 0.22/0.55 = { by axiom 3 (ifeq_axiom) }
% 0.22/0.55 ifeq(p6(f4(c7), f3(f4(c8))), true, a, b)
% 0.22/0.55 = { by axiom 9 (not_p6_5) }
% 0.22/0.55 b
% 0.22/0.55 % SZS output end Proof
% 0.22/0.55
% 0.22/0.55 RESULT: Unsatisfiable (the axioms are contradictory).
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