%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN719-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:48:19 PM UTC 2026
% Result : Unsatisfiable 4.96s 0.96s
% Output : Proof 4.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN719-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n001.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 16:54:48 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.96/0.96 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 4.96/0.96
% 4.96/0.96 % SZS status Unsatisfiable
% 4.96/0.96
% 4.96/0.96 % SZS output start Proof
% 4.96/0.96 Axiom 1 (p14_38): p14(X, X) = true.
% 4.96/0.96 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 4.96/0.96 Axiom 3 (p67_42): p67(f16(c80, c81), c82) = true.
% 4.96/0.96 Axiom 4 (p66_41): p66(f12(c78, c77), c79) = true.
% 4.96/0.96 Axiom 5 (p14_45): p14(f23(f26(c84, c85), X), X) = true.
% 4.96/0.96 Axiom 6 (p70_43): p70(f30(c88, X), f38(c85, Y)) = true.
% 4.96/0.96 Axiom 7 (p69_52): ifeq(p70(X, Y), true, p69(f36(c86, Y), X), true) = true.
% 4.96/0.96 Axiom 8 (p14_90): ifeq(p14(X, Y), true, ifeq(p14(X, Z), true, p14(Z, Y), true), true) = true.
% 4.96/0.96 Axiom 9 (p68_126): ifeq(p69(f36(c86, f38(X, f40(f42(f44(f46(c87, Y), Z), X), W))), f30(c88, f32(c89, f8(c75, c76)))), true, ifeq(p67(f16(c80, W), c82), true, ifeq(p66(f12(c78, c77), Y), true, ifeq(p14(Z, f23(f26(c84, X), W)), true, p68(f19(f21(c83, c77), Y), Z), true), true), true), true) = true.
% 4.96/0.96
% 4.96/0.96 Goal 1 (not_p68_46): p68(f19(f21(c83, c77), c79), c81) = true.
% 4.96/0.96 Proof:
% 4.96/0.96 p68(f19(f21(c83, c77), c79), c81)
% 4.96/0.96 = { by axiom 2 (ifeq_axiom) R->L }
% 4.96/0.96 ifeq(true, true, p68(f19(f21(c83, c77), c79), c81), true)
% 4.96/0.96 = { by axiom 3 (p67_42) R->L }
% 4.96/0.96 ifeq(p67(f16(c80, c81), c82), true, p68(f19(f21(c83, c77), c79), c81), true)
% 4.96/0.96 = { by axiom 2 (ifeq_axiom) R->L }
% 4.96/0.96 ifeq(p67(f16(c80, c81), c82), true, ifeq(true, true, p68(f19(f21(c83, c77), c79), c81), true), true)
% 4.96/0.96 = { by axiom 4 (p66_41) R->L }
% 4.96/0.96 ifeq(p67(f16(c80, c81), c82), true, ifeq(p66(f12(c78, c77), c79), true, p68(f19(f21(c83, c77), c79), c81), true), true)
% 4.96/0.96 = { by axiom 2 (ifeq_axiom) R->L }
% 4.96/0.96 ifeq(p67(f16(c80, c81), c82), true, ifeq(p66(f12(c78, c77), c79), true, ifeq(true, true, p68(f19(f21(c83, c77), c79), c81), true), true), true)
% 4.96/0.96 = { by axiom 2 (ifeq_axiom) R->L }
% 4.96/0.96 ifeq(true, true, ifeq(p67(f16(c80, c81), c82), true, ifeq(p66(f12(c78, c77), c79), true, ifeq(true, true, p68(f19(f21(c83, c77), c79), c81), true), true), true), true)
% 4.96/0.97 = { by axiom 7 (p69_52) R->L }
% 4.96/0.97 ifeq(ifeq(p70(f30(c88, f32(c89, f8(c75, c76))), f38(c85, f40(f42(f44(f46(c87, c79), c81), c85), c81))), true, p69(f36(c86, f38(c85, f40(f42(f44(f46(c87, c79), c81), c85), c81))), f30(c88, f32(c89, f8(c75, c76)))), true), true, ifeq(p67(f16(c80, c81), c82), true, ifeq(p66(f12(c78, c77), c79), true, ifeq(true, true, p68(f19(f21(c83, c77), c79), c81), true), true), true), true)
% 4.96/0.97 = { by axiom 6 (p70_43) }
% 4.96/0.97 ifeq(ifeq(true, true, p69(f36(c86, f38(c85, f40(f42(f44(f46(c87, c79), c81), c85), c81))), f30(c88, f32(c89, f8(c75, c76)))), true), true, ifeq(p67(f16(c80, c81), c82), true, ifeq(p66(f12(c78, c77), c79), true, ifeq(true, true, p68(f19(f21(c83, c77), c79), c81), true), true), true), true)
% 4.96/0.97 = { by axiom 2 (ifeq_axiom) }
% 4.96/0.97 ifeq(p69(f36(c86, f38(c85, f40(f42(f44(f46(c87, c79), c81), c85), c81))), f30(c88, f32(c89, f8(c75, c76)))), true, ifeq(p67(f16(c80, c81), c82), true, ifeq(p66(f12(c78, c77), c79), true, ifeq(true, true, p68(f19(f21(c83, c77), c79), c81), true), true), true), true)
% 4.96/0.97 = { by axiom 8 (p14_90) R->L }
% 4.96/0.97 ifeq(p69(f36(c86, f38(c85, f40(f42(f44(f46(c87, c79), c81), c85), c81))), f30(c88, f32(c89, f8(c75, c76)))), true, ifeq(p67(f16(c80, c81), c82), true, ifeq(p66(f12(c78, c77), c79), true, ifeq(ifeq(p14(f23(f26(c84, c85), c81), f23(f26(c84, c85), c81)), true, ifeq(p14(f23(f26(c84, c85), c81), c81), true, p14(c81, f23(f26(c84, c85), c81)), true), true), true, p68(f19(f21(c83, c77), c79), c81), true), true), true), true)
% 4.96/0.97 = { by axiom 1 (p14_38) }
% 4.96/0.97 ifeq(p69(f36(c86, f38(c85, f40(f42(f44(f46(c87, c79), c81), c85), c81))), f30(c88, f32(c89, f8(c75, c76)))), true, ifeq(p67(f16(c80, c81), c82), true, ifeq(p66(f12(c78, c77), c79), true, ifeq(ifeq(true, true, ifeq(p14(f23(f26(c84, c85), c81), c81), true, p14(c81, f23(f26(c84, c85), c81)), true), true), true, p68(f19(f21(c83, c77), c79), c81), true), true), true), true)
% 4.96/0.97 = { by axiom 2 (ifeq_axiom) }
% 4.96/0.97 ifeq(p69(f36(c86, f38(c85, f40(f42(f44(f46(c87, c79), c81), c85), c81))), f30(c88, f32(c89, f8(c75, c76)))), true, ifeq(p67(f16(c80, c81), c82), true, ifeq(p66(f12(c78, c77), c79), true, ifeq(ifeq(p14(f23(f26(c84, c85), c81), c81), true, p14(c81, f23(f26(c84, c85), c81)), true), true, p68(f19(f21(c83, c77), c79), c81), true), true), true), true)
% 4.96/0.97 = { by axiom 5 (p14_45) }
% 4.96/0.97 ifeq(p69(f36(c86, f38(c85, f40(f42(f44(f46(c87, c79), c81), c85), c81))), f30(c88, f32(c89, f8(c75, c76)))), true, ifeq(p67(f16(c80, c81), c82), true, ifeq(p66(f12(c78, c77), c79), true, ifeq(ifeq(true, true, p14(c81, f23(f26(c84, c85), c81)), true), true, p68(f19(f21(c83, c77), c79), c81), true), true), true), true)
% 4.96/0.97 = { by axiom 2 (ifeq_axiom) }
% 4.96/0.97 ifeq(p69(f36(c86, f38(c85, f40(f42(f44(f46(c87, c79), c81), c85), c81))), f30(c88, f32(c89, f8(c75, c76)))), true, ifeq(p67(f16(c80, c81), c82), true, ifeq(p66(f12(c78, c77), c79), true, ifeq(p14(c81, f23(f26(c84, c85), c81)), true, p68(f19(f21(c83, c77), c79), c81), true), true), true), true)
% 4.96/0.97 = { by axiom 9 (p68_126) }
% 4.96/0.97 true
% 4.96/0.97 % SZS output end Proof
% 4.96/0.97
% 4.96/0.97 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------