TSTP Solution File: SYN116-10 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SYN116-10 : 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 : n029.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 03:33:13 EDT 2023
% Result : Unsatisfiable 3.73s 0.86s
% Output : Proof 3.73s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN116-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % 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 : n029.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 19:01:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.73/0.86 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 3.73/0.86
% 3.73/0.86 % SZS status Unsatisfiable
% 3.73/0.86
% 3.73/0.86 % SZS output start Proof
% 3.73/0.86 Axiom 1 (axiom_14): p0(b, X) = true.
% 3.73/0.86 Axiom 2 (axiom_37): n0(b, a) = true.
% 3.73/0.86 Axiom 3 (axiom_19): m0(X, d, Y) = true.
% 3.73/0.86 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 3.73/0.86 Axiom 5 (rule_244): ifeq(n2(X), true, p3(X, X, X), true) = true.
% 3.73/0.86 Axiom 6 (rule_002): ifeq(n0(X, Y), true, l1(Y, Y), true) = true.
% 3.73/0.86 Axiom 7 (rule_137): ifeq(p1(X, Y, Z), true, n2(Z), true) = true.
% 3.73/0.87 Axiom 8 (rule_085): ifeq(p0(X, Y), true, p1(Y, Y, Y), true) = true.
% 3.73/0.87 Axiom 9 (rule_267): ifeq(p2(X, Y, Z), true, r3(X, Z, X), true) = true.
% 3.73/0.87 Axiom 10 (rule_006): ifeq(m0(X, X, Y), true, m1(Y, Y, Y), true) = true.
% 3.73/0.87 Axiom 11 (rule_150): ifeq(m1(X, X, Y), true, p2(Y, Y, Y), true) = true.
% 3.73/0.87 Axiom 12 (rule_300): ifeq(s4(X), true, ifeq(r3(Y, Z, Z), true, k5(Z), true), true) = true.
% 3.73/0.87 Axiom 13 (rule_299): ifeq(p3(X, Y, Z), true, ifeq(l1(W, Y), true, s4(W), true), true) = true.
% 3.73/0.87
% 3.73/0.87 Goal 1 (prove_this): k5(b) = true.
% 3.73/0.87 Proof:
% 3.73/0.87 k5(b)
% 3.73/0.87 = { by axiom 4 (ifeq_axiom) R->L }
% 3.73/0.87 ifeq(true, true, k5(b), true)
% 3.73/0.87 = { by axiom 13 (rule_299) R->L }
% 3.73/0.87 ifeq(ifeq(p3(a, a, a), true, ifeq(l1(a, a), true, s4(a), true), true), true, k5(b), true)
% 3.73/0.87 = { by axiom 4 (ifeq_axiom) R->L }
% 3.73/0.87 ifeq(ifeq(ifeq(true, true, p3(a, a, a), true), true, ifeq(l1(a, a), true, s4(a), true), true), true, k5(b), true)
% 3.73/0.87 = { by axiom 7 (rule_137) R->L }
% 3.73/0.87 ifeq(ifeq(ifeq(ifeq(p1(a, a, a), true, n2(a), true), true, p3(a, a, a), true), true, ifeq(l1(a, a), true, s4(a), true), true), true, k5(b), true)
% 3.73/0.87 = { by axiom 4 (ifeq_axiom) R->L }
% 3.73/0.87 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, p1(a, a, a), true), true, n2(a), true), true, p3(a, a, a), true), true, ifeq(l1(a, a), true, s4(a), true), true), true, k5(b), true)
% 3.73/0.87 = { by axiom 1 (axiom_14) R->L }
% 3.73/0.87 ifeq(ifeq(ifeq(ifeq(ifeq(p0(b, a), true, p1(a, a, a), true), true, n2(a), true), true, p3(a, a, a), true), true, ifeq(l1(a, a), true, s4(a), true), true), true, k5(b), true)
% 3.73/0.87 = { by axiom 8 (rule_085) }
% 3.73/0.87 ifeq(ifeq(ifeq(ifeq(true, true, n2(a), true), true, p3(a, a, a), true), true, ifeq(l1(a, a), true, s4(a), true), true), true, k5(b), true)
% 3.73/0.87 = { by axiom 4 (ifeq_axiom) }
% 3.73/0.87 ifeq(ifeq(ifeq(n2(a), true, p3(a, a, a), true), true, ifeq(l1(a, a), true, s4(a), true), true), true, k5(b), true)
% 3.73/0.87 = { by axiom 5 (rule_244) }
% 3.73/0.87 ifeq(ifeq(true, true, ifeq(l1(a, a), true, s4(a), true), true), true, k5(b), true)
% 3.73/0.87 = { by axiom 4 (ifeq_axiom) }
% 3.73/0.87 ifeq(ifeq(l1(a, a), true, s4(a), true), true, k5(b), true)
% 3.73/0.87 = { by axiom 4 (ifeq_axiom) R->L }
% 3.73/0.87 ifeq(ifeq(ifeq(true, true, l1(a, a), true), true, s4(a), true), true, k5(b), true)
% 3.73/0.87 = { by axiom 2 (axiom_37) R->L }
% 3.73/0.87 ifeq(ifeq(ifeq(n0(b, a), true, l1(a, a), true), true, s4(a), true), true, k5(b), true)
% 3.73/0.87 = { by axiom 6 (rule_002) }
% 3.73/0.87 ifeq(ifeq(true, true, s4(a), true), true, k5(b), true)
% 3.73/0.87 = { by axiom 4 (ifeq_axiom) }
% 3.73/0.87 ifeq(s4(a), true, k5(b), true)
% 3.73/0.87 = { by axiom 4 (ifeq_axiom) R->L }
% 3.73/0.87 ifeq(s4(a), true, ifeq(true, true, k5(b), true), true)
% 3.73/0.87 = { by axiom 9 (rule_267) R->L }
% 3.73/0.87 ifeq(s4(a), true, ifeq(ifeq(p2(b, b, b), true, r3(b, b, b), true), true, k5(b), true), true)
% 3.73/0.87 = { by axiom 4 (ifeq_axiom) R->L }
% 3.73/0.87 ifeq(s4(a), true, ifeq(ifeq(ifeq(true, true, p2(b, b, b), true), true, r3(b, b, b), true), true, k5(b), true), true)
% 3.73/0.87 = { by axiom 10 (rule_006) R->L }
% 3.73/0.87 ifeq(s4(a), true, ifeq(ifeq(ifeq(ifeq(m0(d, d, b), true, m1(b, b, b), true), true, p2(b, b, b), true), true, r3(b, b, b), true), true, k5(b), true), true)
% 3.73/0.87 = { by axiom 3 (axiom_19) }
% 3.73/0.87 ifeq(s4(a), true, ifeq(ifeq(ifeq(ifeq(true, true, m1(b, b, b), true), true, p2(b, b, b), true), true, r3(b, b, b), true), true, k5(b), true), true)
% 3.73/0.87 = { by axiom 4 (ifeq_axiom) }
% 3.73/0.87 ifeq(s4(a), true, ifeq(ifeq(ifeq(m1(b, b, b), true, p2(b, b, b), true), true, r3(b, b, b), true), true, k5(b), true), true)
% 3.73/0.87 = { by axiom 11 (rule_150) }
% 3.73/0.87 ifeq(s4(a), true, ifeq(ifeq(true, true, r3(b, b, b), true), true, k5(b), true), true)
% 3.73/0.87 = { by axiom 4 (ifeq_axiom) }
% 3.73/0.87 ifeq(s4(a), true, ifeq(r3(b, b, b), true, k5(b), true), true)
% 3.73/0.87 = { by axiom 12 (rule_300) }
% 3.73/0.87 true
% 3.73/0.87 % SZS output end Proof
% 3.73/0.87
% 3.73/0.87 RESULT: Unsatisfiable (the axioms are contradictory).
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