%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWX186-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 01:45:31 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.16s
% Output : Proof 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWX186-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 15:06:19 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.16 Command-line arguments: --no-flatten-goal
% 0.08/0.16
% 0.08/0.16 % SZS status Unsatisfiable
% 0.08/0.16
% 0.08/0.16 % SZS output start Proof
% 0.08/0.16 Axiom 1 (axiom): impl(btrue, X) = X.
% 0.08/0.16 Axiom 2 (axiom_013): eq3(X, X) = btrue.
% 0.08/0.16 Axiom 3 (axiom_002): drop(s(X), nil) = nil.
% 0.08/0.16 Axiom 4 (axiom_011): eq(X, X) = btrue.
% 0.08/0.16 Axiom 5 (axiom_003): drop(s(X), cons(Y, Z)) = drop(X, Z).
% 0.08/0.16 Axiom 6 (axiom_016): eq(nil, cons(X, Y)) = bfalse.
% 0.08/0.16 Axiom 7 (axiom_005): prop_drop_inj2(X, Y, Z) = impl(eq(drop(X, Y), drop(X, Z)), eq(Y, Z)).
% 0.08/0.16
% 0.08/0.16 Goal 1 (goal): eq3(prop_drop_inj2(X, Y, Z), bfalse) = btrue.
% 0.08/0.16 The goal is true when:
% 0.08/0.16 X = s(s(X))
% 0.08/0.16 Y = nil
% 0.08/0.16 Z = cons(Y, nil)
% 0.08/0.16
% 0.08/0.16 Proof:
% 0.08/0.16 eq3(prop_drop_inj2(s(s(X)), nil, cons(Y, nil)), bfalse)
% 0.08/0.16 = { by axiom 7 (axiom_005) }
% 0.08/0.16 eq3(impl(eq(drop(s(s(X)), nil), drop(s(s(X)), cons(Y, nil))), eq(nil, cons(Y, nil))), bfalse)
% 0.08/0.16 = { by axiom 3 (axiom_002) }
% 0.08/0.16 eq3(impl(eq(nil, drop(s(s(X)), cons(Y, nil))), eq(nil, cons(Y, nil))), bfalse)
% 0.08/0.16 = { by axiom 5 (axiom_003) }
% 0.08/0.16 eq3(impl(eq(nil, drop(s(X), nil)), eq(nil, cons(Y, nil))), bfalse)
% 0.08/0.16 = { by axiom 6 (axiom_016) }
% 0.08/0.16 eq3(impl(eq(nil, drop(s(X), nil)), bfalse), bfalse)
% 0.08/0.16 = { by axiom 3 (axiom_002) }
% 0.08/0.16 eq3(impl(eq(nil, nil), bfalse), bfalse)
% 0.08/0.16 = { by axiom 4 (axiom_011) }
% 0.08/0.16 eq3(impl(btrue, bfalse), bfalse)
% 0.08/0.16 = { by axiom 1 (axiom) }
% 0.08/0.16 eq3(bfalse, bfalse)
% 0.08/0.16 = { by axiom 2 (axiom_013) }
% 0.08/0.16 btrue
% 0.08/0.16 % SZS output end Proof
% 0.08/0.16
% 0.08/0.16 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------