%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWX222-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 01:45:36 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.31s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX222-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n002.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:15:37 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.19 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31 Command-line arguments: --flatten-regeneralise
% 0.09/0.31
% 0.09/0.31 % SZS status Unsatisfiable
% 0.09/0.31
% 0.09/0.31 % SZS output start Proof
% 0.09/0.31 Axiom 1 (axiom_002): notb(btrue) = bfalse.
% 0.09/0.31 Axiom 2 (axiom_012): nf(lam(X)) = nf(X).
% 0.09/0.31 Axiom 3 (axiom_054): eq4(X, X) = btrue.
% 0.09/0.31 Axiom 4 (axiom_007): andb(btrue, X) = X.
% 0.09/0.31 Axiom 5 (axiom_013): nf(var(X)) = btrue.
% 0.09/0.31 Axiom 6 (axiom_051): eq(X, X) = btrue.
% 0.09/0.31 Axiom 7 (axiom_005): index(cons(X, Y), zero) = just(X).
% 0.09/0.31 Axiom 8 (axiom_001): aux(X, Y, Z, just(W)) = eq(W, Y).
% 0.09/0.31 Axiom 9 (axiom_015): tc(X, lam(Y), arr(Z, W)) = tc(cons(Z, X), Y, W).
% 0.09/0.31 Axiom 10 (axiom_019): tc(X, var(Y), Z) = aux(X, Z, Y, index(X, Y)).
% 0.09/0.31 Axiom 11 (axiom_020): sat_synth_nf_k(X) = notb(andb(nf(X), tc(nil, X, arr(a, arr(b, b))))).
% 0.09/0.31
% 0.09/0.31 Goal 1 (goal): eq4(sat_synth_nf_k(X), bfalse) = btrue.
% 0.09/0.31 The goal is true when:
% 0.09/0.31 X = lam(lam(var(zero)))
% 0.09/0.31
% 0.09/0.31 Proof:
% 0.09/0.31 eq4(sat_synth_nf_k(lam(lam(var(zero)))), bfalse)
% 0.09/0.31 = { by axiom 11 (axiom_020) }
% 0.09/0.31 eq4(notb(andb(nf(lam(lam(var(zero)))), tc(nil, lam(lam(var(zero))), arr(a, arr(b, b))))), bfalse)
% 0.09/0.31 = { by axiom 9 (axiom_015) }
% 0.09/0.31 eq4(notb(andb(nf(lam(lam(var(zero)))), tc(cons(a, nil), lam(var(zero)), arr(b, b)))), bfalse)
% 0.09/0.31 = { by axiom 9 (axiom_015) }
% 0.09/0.31 eq4(notb(andb(nf(lam(lam(var(zero)))), tc(cons(b, cons(a, nil)), var(zero), b))), bfalse)
% 0.09/0.31 = { by axiom 10 (axiom_019) }
% 0.09/0.31 eq4(notb(andb(nf(lam(lam(var(zero)))), aux(cons(b, cons(a, nil)), b, zero, index(cons(b, cons(a, nil)), zero)))), bfalse)
% 0.09/0.31 = { by axiom 7 (axiom_005) }
% 0.09/0.31 eq4(notb(andb(nf(lam(lam(var(zero)))), aux(cons(b, cons(a, nil)), b, zero, just(b)))), bfalse)
% 0.09/0.31 = { by axiom 8 (axiom_001) }
% 0.09/0.31 eq4(notb(andb(nf(lam(lam(var(zero)))), eq(b, b))), bfalse)
% 0.09/0.31 = { by axiom 2 (axiom_012) }
% 0.09/0.31 eq4(notb(andb(nf(lam(var(zero))), eq(b, b))), bfalse)
% 0.09/0.31 = { by axiom 2 (axiom_012) }
% 0.09/0.31 eq4(notb(andb(nf(var(zero)), eq(b, b))), bfalse)
% 0.09/0.31 = { by axiom 5 (axiom_013) }
% 0.09/0.31 eq4(notb(andb(btrue, eq(b, b))), bfalse)
% 0.09/0.31 = { by axiom 4 (axiom_007) }
% 0.09/0.31 eq4(notb(eq(b, b)), bfalse)
% 0.09/0.31 = { by axiom 6 (axiom_051) }
% 0.09/0.31 eq4(notb(btrue), bfalse)
% 0.09/0.31 = { by axiom 1 (axiom_002) }
% 0.09/0.31 eq4(bfalse, bfalse)
% 0.09/0.31 = { by axiom 3 (axiom_054) }
% 0.09/0.31 btrue
% 0.09/0.31 % SZS output end Proof
% 0.09/0.31
% 0.09/0.31 RESULT: Unsatisfiable (the axioms are contradictory).
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