%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWX239-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 01:45:39 PM UTC 2026
% Result : Unsatisfiable 7.36s 1.20s
% Output : CNFRefutation 7.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of clauses : 92 ( 92 unt; 0 nHn; 10 RR)
% Number of literals : 92 ( 91 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-4 aty)
% Number of variables : 127 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
eq2(prop_same(X,Y),bfalse) != btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
rec(X2,cons2(Z,Xs)) = rec(step(X2,Z),Xs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_088) ).
cnf(c3,plain,
rec(X3,cons2(X2,nil2)) = rec(step(X3,X2),nil2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,axiom,
rec(X2,nil2) = eps2(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_087) ).
cnf(c5,plain,
rec(step(X3,X2),nil2) = eps2(step(X3,X2)),
inference(substitution,[status(thm)],[c4]) ).
cnf(c6,plain,
rec(X3,cons2(X2,nil2)) = eps2(step(X3,X2)),
inference(transitivity,[status(thm)],[c3,c5]) ).
cnf(c7,plain,
eps2(step(X3,X2)) = rec(X3,cons2(X2,nil2)),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
eq2(eps2(step(X3,X2)),reck2(X3,cons2(X2,nil2))) = eq2(rec(X3,cons2(X2,nil2)),reck2(X3,cons2(X2,nil2))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,axiom,
prop_same(X2,Y2) = eq2(rec(X2,Y2),reck2(X2,Y2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_101) ).
cnf(c10,plain,
prop_same(X3,cons2(X2,nil2)) = eq2(rec(X3,cons2(X2,nil2)),reck2(X3,cons2(X2,nil2))),
inference(substitution,[status(thm)],[c9]) ).
cnf(c11,plain,
eq2(rec(X3,cons2(X2,nil2)),reck2(X3,cons2(X2,nil2))) = prop_same(X3,cons2(X2,nil2)),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,plain,
eq2(eps2(step(X3,X2)),reck2(X3,cons2(X2,nil2))) = prop_same(X3,cons2(X2,nil2)),
inference(transitivity,[status(thm)],[c8,c11]) ).
cnf(c13,plain,
eq2(eps2(step(star(star(atom(X2))),X2)),reck2(star(star(atom(X2))),cons2(X2,nil2))) = prop_same(star(star(atom(X2))),cons2(X2,nil2)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,plain,
prop_same(star(star(atom(X2))),cons2(X2,nil2)) = eq2(eps2(step(star(star(atom(X2))),X2)),reck2(star(star(atom(X2))),cons2(X2,nil2))),
inference(symmetry,[status(thm)],[c13]) ).
cnf(c15,axiom,
eps2(y(R,Q2)) = andb(eps2(R),eps2(Q2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_077) ).
cnf(c16,plain,
eps2(y(X3,star(X2))) = andb(eps2(X3),eps2(star(X2))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,axiom,
eps2(star(Y2)) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_078) ).
cnf(c18,plain,
eps2(star(X2)) = btrue,
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
andb(eps2(X3),eps2(star(X2))) = andb(eps2(X3),btrue),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,axiom,
eps2(eps) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c21,plain,
btrue = eps2(eps),
inference(symmetry,[status(thm)],[c20]) ).
cnf(c22,plain,
andb(eps2(X2),btrue) = andb(eps2(X2),eps2(eps)),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
eps2(y(X2,eps)) = andb(eps2(X2),eps2(eps)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c24,plain,
andb(eps2(X2),eps2(eps)) = eps2(y(X2,eps)),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
andb(eps2(X2),btrue) = eps2(y(X2,eps)),
inference(transitivity,[status(thm)],[c22,c24]) ).
cnf(c26,plain,
andb(eps2(X3),eps2(star(X2))) = eps2(y(X3,eps)),
inference(transitivity,[status(thm)],[c19,c25]) ).
cnf(c27,plain,
eps2(y(X3,star(X2))) = eps2(y(X3,eps)),
inference(transitivity,[status(thm)],[c16,c26]) ).
cnf(c28,plain,
eps2(y(step(X3,X2),star(X3))) = eps2(y(step(X3,X2),eps)),
inference(substitution,[status(thm)],[c27]) ).
cnf(c29,plain,
eps2(y(step(X3,X2),eps)) = eps2(y(step(X3,X2),star(X3))),
inference(symmetry,[status(thm)],[c28]) ).
cnf(c30,axiom,
step(star(P2),Y2) = y(step(P2,Y2),star(P2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_084) ).
cnf(c31,plain,
step(star(X3),X2) = y(step(X3,X2),star(X3)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
y(step(X3,X2),star(X3)) = step(star(X3),X2),
inference(symmetry,[status(thm)],[c31]) ).
cnf(c33,plain,
eps2(y(step(X3,X2),star(X3))) = eps2(step(star(X3),X2)),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
eps2(y(step(X3,X2),eps)) = eps2(step(star(X3),X2)),
inference(transitivity,[status(thm)],[c29,c33]) ).
cnf(c35,plain,
eps2(y(step(star(atom(X2)),X2),eps)) = eps2(step(star(star(atom(X2))),X2)),
inference(substitution,[status(thm)],[c34]) ).
cnf(c36,plain,
eps2(step(star(star(atom(X2))),X2)) = eps2(y(step(star(atom(X2)),X2),eps)),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c37,plain,
andb(eps2(step(star(atom(X2)),X2)),btrue) = eps2(y(step(star(atom(X2)),X2),eps)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c38,plain,
eps2(y(step(star(atom(X2)),X2),eps)) = andb(eps2(step(star(atom(X2)),X2)),btrue),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,plain,
eps2(y(step(atom(X2),X2),eps)) = eps2(step(star(atom(X2)),X2)),
inference(substitution,[status(thm)],[c34]) ).
cnf(c40,plain,
eps2(step(star(atom(X2)),X2)) = eps2(y(step(atom(X2),X2),eps)),
inference(symmetry,[status(thm)],[c39]) ).
cnf(c41,axiom,
eq(X2,X2) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c42,plain,
btrue = eq(X2,X2),
inference(symmetry,[status(thm)],[c41]) ).
cnf(c43,plain,
aux(X2,X2,btrue) = aux(X2,X2,eq(X2,X2)),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,axiom,
step(atom(B),Y2) = aux(Y2,B,eq(B,Y2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_081) ).
cnf(c45,plain,
step(atom(X2),X2) = aux(X2,X2,eq(X2,X2)),
inference(substitution,[status(thm)],[c44]) ).
cnf(c46,plain,
aux(X2,X2,eq(X2,X2)) = step(atom(X2),X2),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,plain,
aux(X2,X2,btrue) = step(atom(X2),X2),
inference(transitivity,[status(thm)],[c43,c46]) ).
cnf(c48,plain,
step(atom(X2),X2) = aux(X2,X2,btrue),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,axiom,
aux(Y2,B2,btrue) = eps,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
cnf(c50,plain,
aux(X2,X2,btrue) = eps,
inference(substitution,[status(thm)],[c49]) ).
cnf(c51,plain,
step(atom(X2),X2) = eps,
inference(transitivity,[status(thm)],[c48,c50]) ).
cnf(c52,plain,
y(step(atom(X2),X2),eps) = y(eps,eps),
inference(congruence,[status(thm)],[c51]) ).
cnf(c53,plain,
eps2(y(step(atom(X2),X2),eps)) = eps2(y(eps,eps)),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
eps2(y(eps,X2)) = andb(eps2(eps),eps2(X2)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c55,plain,
andb(eps2(eps),eps2(X2)) = andb(btrue,eps2(X2)),
inference(congruence,[status(thm)],[c20]) ).
cnf(c56,axiom,
andb(btrue,Q) = Q,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_073) ).
cnf(c57,plain,
andb(btrue,eps2(X2)) = eps2(X2),
inference(substitution,[status(thm)],[c56]) ).
cnf(c58,plain,
andb(eps2(eps),eps2(X2)) = eps2(X2),
inference(transitivity,[status(thm)],[c55,c57]) ).
cnf(c59,plain,
eps2(y(eps,X2)) = eps2(X2),
inference(transitivity,[status(thm)],[c54,c58]) ).
cnf(c60,plain,
eps2(y(eps,eps)) = eps2(eps),
inference(substitution,[status(thm)],[c59]) ).
cnf(c61,plain,
eps2(y(eps,eps)) = btrue,
inference(transitivity,[status(thm)],[c60,c20]) ).
cnf(c62,plain,
eps2(y(step(atom(X2),X2),eps)) = btrue,
inference(transitivity,[status(thm)],[c53,c61]) ).
cnf(c63,plain,
eps2(step(star(atom(X2)),X2)) = btrue,
inference(transitivity,[status(thm)],[c40,c62]) ).
cnf(c64,plain,
andb(eps2(step(star(atom(X2)),X2)),btrue) = andb(btrue,btrue),
inference(congruence,[status(thm)],[c63]) ).
cnf(c65,plain,
andb(btrue,btrue) = btrue,
inference(substitution,[status(thm)],[c56]) ).
cnf(c66,plain,
andb(eps2(step(star(atom(X2)),X2)),btrue) = btrue,
inference(transitivity,[status(thm)],[c64,c65]) ).
cnf(c67,plain,
eps2(y(step(star(atom(X2)),X2),eps)) = btrue,
inference(transitivity,[status(thm)],[c38,c66]) ).
cnf(c68,plain,
eps2(step(star(star(atom(X2))),X2)) = btrue,
inference(transitivity,[status(thm)],[c36,c67]) ).
cnf(c69,plain,
eq2(eps2(step(star(star(atom(X2))),X2)),reck2(star(star(atom(X2))),cons2(X2,nil2))) = eq2(btrue,reck2(star(star(atom(X2))),cons2(X2,nil2))),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,axiom,
reck2(star(P2_2),cons2(X6,X7)) = aux3(P2_2,X6,X7,notb(eps2(P2_2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_100) ).
cnf(c71,plain,
reck2(star(star(X3)),cons2(X2,X4)) = aux3(star(X3),X2,X4,notb(eps2(star(X3)))),
inference(substitution,[status(thm)],[c70]) ).
cnf(c72,plain,
eps2(star(X2)) = btrue,
inference(substitution,[status(thm)],[c17]) ).
cnf(c73,plain,
notb(eps2(star(X2))) = notb(btrue),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
aux3(star(X4),X3,X2,notb(eps2(star(X4)))) = aux3(star(X4),X3,X2,notb(btrue)),
inference(congruence,[status(thm)],[c73]) ).
cnf(c75,axiom,
notb(btrue) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c76,plain,
aux3(star(X4),X3,X2,notb(btrue)) = aux3(star(X4),X3,X2,bfalse),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,axiom,
aux3(P2_2,X6_2,X7_2,bfalse) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).
cnf(c78,plain,
aux3(star(X4),X3,X2,bfalse) = bfalse,
inference(substitution,[status(thm)],[c77]) ).
cnf(c79,plain,
aux3(star(X4),X3,X2,notb(btrue)) = bfalse,
inference(transitivity,[status(thm)],[c76,c78]) ).
cnf(c80,plain,
aux3(star(X4),X3,X2,notb(eps2(star(X4)))) = bfalse,
inference(transitivity,[status(thm)],[c74,c79]) ).
cnf(c81,plain,
reck2(star(star(X4)),cons2(X3,X2)) = bfalse,
inference(transitivity,[status(thm)],[c71,c80]) ).
cnf(c82,plain,
reck2(star(star(atom(X2))),cons2(X2,nil2)) = bfalse,
inference(substitution,[status(thm)],[c81]) ).
cnf(c83,plain,
eq2(btrue,reck2(star(star(atom(X2))),cons2(X2,nil2))) = eq2(btrue,bfalse),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,axiom,
eq2(btrue,bfalse) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c85,plain,
eq2(btrue,reck2(star(star(atom(X2))),cons2(X2,nil2))) = bfalse,
inference(transitivity,[status(thm)],[c83,c84]) ).
cnf(c86,plain,
eq2(eps2(step(star(star(atom(X2))),X2)),reck2(star(star(atom(X2))),cons2(X2,nil2))) = bfalse,
inference(transitivity,[status(thm)],[c69,c85]) ).
cnf(c87,plain,
prop_same(star(star(atom(X2))),cons2(X2,nil2)) = bfalse,
inference(transitivity,[status(thm)],[c14,c86]) ).
cnf(c88,plain,
eq2(prop_same(star(star(atom(X2))),cons2(X2,nil2)),bfalse) = eq2(bfalse,bfalse),
inference(congruence,[status(thm)],[c87]) ).
cnf(c89,axiom,
eq2(X2,X2) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_111) ).
cnf(c90,plain,
eq2(bfalse,bfalse) = btrue,
inference(substitution,[status(thm)],[c89]) ).
cnf(c91,plain,
eq2(prop_same(star(star(atom(X2))),cons2(X2,nil2)),bfalse) = btrue,
inference(transitivity,[status(thm)],[c88,c90]) ).
cnf(c92,plain,
$false,
inference(resolution,[status(thm)],[c1,c91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX239-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.20 % Computer : n011.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 15:18:00 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.36/1.20 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
% 7.36/1.20
% 7.36/1.20 % SZS status Unsatisfiable
% 7.36/1.20
% 7.36/1.20 % SZS output start CNFRefutation
% See solution above
% 7.36/1.24
% 7.36/1.24 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------