%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWX203-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 : Tue May 5 05:34:43 PM UTC 2026
% Result : Unsatisfiable 4.75s 3.35s
% Output : CNFRefutation 4.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 25
% Syntax : Number of clauses : 78 ( 78 unt; 0 nHn; 11 RR)
% Number of literals : 78 ( 77 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 4 con; 0-3 aty)
% Number of variables : 123 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_012,axiom,
elemNat(X1,cons(X2,X3)) = orb(eq(X1,X2),elemNat(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_012) ).
cnf(axiom_027,axiom,
eq(s(X1),s(X2)) = eq(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_027) ).
cnf(axiom_029,axiom,
eq(s(X1),z) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_029) ).
cnf(axiom_003,axiom,
orb(bfalse,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
cnf(axiom_011,axiom,
elemNat(X1,nil) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
cnf(axiom_014,axiom,
unique(cons(X1,X2)) = aux(X1,X2,elemNat(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_014) ).
cnf(axiom_001,axiom,
aux(X1,X2,bfalse) = unique(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_001) ).
cnf(axiom_013,axiom,
unique(nil) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
cnf(axiom_018,axiom,
rev(cons(X1,X2)) = append(rev(X2),cons(X1,nil)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_018) ).
cnf(axiom_017,axiom,
rev(nil) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_017) ).
cnf(axiom_015,axiom,
append(nil,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_015) ).
cnf(axiom_016,axiom,
append(cons(X1,X2),X3) = cons(X1,append(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_016) ).
cnf(axiom_023,axiom,
sorted(cons(X1,cons(X2,X3))) = andb(leqNat(X1,X2),sorted(cons(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_023) ).
cnf(axiom_006,axiom,
leqNat(s(X1),s(X2)) = leqNat(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
cnf(axiom_022,axiom,
sorted(cons(X1,nil)) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_022) ).
cnf(axiom_004,axiom,
leqNat(z,X1) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
cnf(axiom_019,axiom,
andb(btrue,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_019) ).
cnf(axiom_024,axiom,
psorted_rev(X1) = impl(eq2(sorted(rev(X1)),btrue),impl(eq2(unique(X1),btrue),eq2(leqNat(lengthNat(X1),s(s(s(z)))),btrue))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_024) ).
cnf(axiom_031,axiom,
eq2(X1,X1) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_031) ).
cnf(axiom_008,axiom,
lengthNat(cons(X1,X2)) = s(lengthNat(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_008) ).
cnf(axiom_007,axiom,
lengthNat(nil) = z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
cnf(axiom_005,axiom,
leqNat(s(X1),z) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
cnf(axiom_025,axiom,
eq2(bfalse,btrue) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_025) ).
cnf(axiom_009,axiom,
impl(btrue,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_009) ).
cnf(goal,negated_conjecture,
eq2(psorted_rev(X1),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c_0_25,axiom,
elemNat(X1,cons(X2,X3)) = orb(eq(X1,X2),elemNat(X1,X3)),
axiom_012 ).
cnf(c_0_26,axiom,
eq(s(X1),s(X2)) = eq(X1,X2),
axiom_027 ).
cnf(c_0_27,plain,
orb(eq(X1,X2),elemNat(s(X1),X3)) = elemNat(s(X1),cons(s(X2),X3)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,axiom,
eq(s(X1),z) = bfalse,
axiom_029 ).
cnf(c_0_29,axiom,
orb(bfalse,X1) = X1,
axiom_003 ).
cnf(c_0_30,plain,
elemNat(s(s(X1)),cons(s(z),X2)) = elemNat(s(s(X1)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_31,plain,
elemNat(s(X1),cons(z,X2)) = elemNat(s(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_28]),c_0_29]) ).
cnf(c_0_32,axiom,
elemNat(X1,nil) = bfalse,
axiom_011 ).
cnf(c_0_33,axiom,
unique(cons(X1,X2)) = aux(X1,X2,elemNat(X1,X2)),
axiom_014 ).
cnf(c_0_34,plain,
elemNat(s(s(X1)),cons(X2,cons(s(z),X3))) = elemNat(s(s(X1)),cons(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_30]),c_0_25]) ).
cnf(c_0_35,plain,
elemNat(s(X1),cons(X2,cons(z,X3))) = elemNat(s(X1),cons(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_31]),c_0_25]) ).
cnf(c_0_36,plain,
orb(eq(X1,X2),bfalse) = elemNat(X1,cons(X2,nil)),
inference(spm,[status(thm)],[c_0_25,c_0_32]) ).
cnf(c_0_37,axiom,
aux(X1,X2,bfalse) = unique(X2),
axiom_001 ).
cnf(c_0_38,axiom,
unique(nil) = btrue,
axiom_013 ).
cnf(c_0_39,axiom,
rev(cons(X1,X2)) = append(rev(X2),cons(X1,nil)),
axiom_018 ).
cnf(c_0_40,axiom,
rev(nil) = nil,
axiom_017 ).
cnf(c_0_41,axiom,
append(nil,X1) = X1,
axiom_015 ).
cnf(c_0_42,plain,
aux(s(s(X1)),cons(X2,cons(s(z),X3)),elemNat(s(s(X1)),cons(X2,X3))) = unique(cons(s(s(X1)),cons(X2,cons(s(z),X3)))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_43,plain,
aux(s(X1),cons(X2,cons(z,X3)),elemNat(s(X1),cons(X2,X3))) = unique(cons(s(X1),cons(X2,cons(z,X3)))),
inference(spm,[status(thm)],[c_0_33,c_0_35]) ).
cnf(c_0_44,plain,
elemNat(s(X1),cons(s(X2),nil)) = elemNat(X1,cons(X2,nil)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_26]),c_0_36]) ).
cnf(c_0_45,plain,
elemNat(s(X1),cons(z,nil)) = bfalse,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_28]),c_0_29]) ).
cnf(c_0_46,plain,
unique(cons(X1,nil)) = btrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_32]),c_0_37]),c_0_38]) ).
cnf(c_0_47,plain,
rev(cons(X1,nil)) = cons(X1,nil),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_48,axiom,
append(cons(X1,X2),X3) = cons(X1,append(X2,X3)),
axiom_016 ).
cnf(c_0_49,plain,
aux(s(s(X1)),cons(X2,cons(s(z),cons(z,X3))),elemNat(s(s(X1)),cons(X2,X3))) = unique(cons(s(s(X1)),cons(X2,cons(s(z),cons(z,X3))))),
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_50,plain,
aux(s(X1),cons(s(X2),cons(z,nil)),elemNat(X1,cons(X2,nil))) = unique(cons(s(X1),cons(s(X2),cons(z,nil)))),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,plain,
unique(cons(s(X1),cons(z,nil))) = btrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_45]),c_0_37]),c_0_46]) ).
cnf(c_0_52,plain,
rev(cons(X1,cons(X2,nil))) = cons(X2,cons(X1,nil)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_47]),c_0_48]),c_0_41]) ).
cnf(c_0_53,axiom,
sorted(cons(X1,cons(X2,X3))) = andb(leqNat(X1,X2),sorted(cons(X2,X3))),
axiom_023 ).
cnf(c_0_54,axiom,
leqNat(s(X1),s(X2)) = leqNat(X1,X2),
axiom_006 ).
cnf(c_0_55,axiom,
sorted(cons(X1,nil)) = btrue,
axiom_022 ).
cnf(c_0_56,plain,
aux(s(s(X1)),cons(s(X2),cons(s(z),cons(z,nil))),elemNat(s(X1),cons(X2,nil))) = unique(cons(s(s(X1)),cons(s(X2),cons(s(z),cons(z,nil))))),
inference(spm,[status(thm)],[c_0_49,c_0_44]) ).
cnf(c_0_57,plain,
unique(cons(s(s(X1)),cons(s(z),cons(z,nil)))) = btrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_31]),c_0_32]),c_0_37]),c_0_51]) ).
cnf(c_0_58,plain,
rev(cons(X1,cons(X2,cons(X3,nil)))) = cons(X3,cons(X2,cons(X1,nil))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_52]),c_0_48]),c_0_48]),c_0_41]) ).
cnf(c_0_59,axiom,
leqNat(z,X1) = btrue,
axiom_004 ).
cnf(c_0_60,axiom,
andb(btrue,X1) = X1,
axiom_019 ).
cnf(c_0_61,plain,
andb(leqNat(X1,X2),sorted(cons(s(X2),X3))) = sorted(cons(s(X1),cons(s(X2),X3))),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,plain,
andb(leqNat(X1,X2),btrue) = sorted(cons(X1,cons(X2,nil))),
inference(spm,[status(thm)],[c_0_53,c_0_55]) ).
cnf(c_0_63,axiom,
psorted_rev(X1) = impl(eq2(sorted(rev(X1)),btrue),impl(eq2(unique(X1),btrue),eq2(leqNat(lengthNat(X1),s(s(s(z)))),btrue))),
axiom_024 ).
cnf(c_0_64,plain,
unique(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = btrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_30]),c_0_32]),c_0_37]),c_0_57]) ).
cnf(c_0_65,plain,
rev(cons(X1,cons(X2,cons(X3,cons(X4,nil))))) = cons(X4,cons(X3,cons(X2,cons(X1,nil)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_58]),c_0_48]),c_0_48]),c_0_48]),c_0_41]) ).
cnf(c_0_66,plain,
sorted(cons(z,cons(X1,X2))) = sorted(cons(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_59]),c_0_60]) ).
cnf(c_0_67,plain,
sorted(cons(s(z),cons(s(X1),X2))) = sorted(cons(s(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_59]),c_0_60]) ).
cnf(c_0_68,plain,
sorted(cons(s(X1),cons(s(X2),nil))) = sorted(cons(X1,cons(X2,nil))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_54]),c_0_62]) ).
cnf(c_0_69,axiom,
eq2(X1,X1) = btrue,
axiom_031 ).
cnf(c_0_70,axiom,
lengthNat(cons(X1,X2)) = s(lengthNat(X2)),
axiom_008 ).
cnf(c_0_71,axiom,
lengthNat(nil) = z,
axiom_007 ).
cnf(c_0_72,axiom,
leqNat(s(X1),z) = bfalse,
axiom_005 ).
cnf(c_0_73,axiom,
eq2(bfalse,btrue) = bfalse,
axiom_025 ).
cnf(c_0_74,axiom,
impl(btrue,X1) = X1,
axiom_009 ).
cnf(c_0_75,negated_conjecture,
eq2(psorted_rev(X1),bfalse) != btrue,
goal ).
cnf(c_0_76,plain,
psorted_rev(cons(s(s(s(X1))),cons(s(s(z)),cons(s(z),cons(z,nil))))) = bfalse,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_67]),c_0_55]),c_0_69]),c_0_69]),c_0_70]),c_0_70]),c_0_70]),c_0_70]),c_0_71]),c_0_54]),c_0_54]),c_0_54]),c_0_72]),c_0_73]),c_0_74]),c_0_74]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_69])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX203-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n007.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 07:55:39 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 4.75/3.35 % Version : CSE_E---1.7
% 4.75/3.35 % Problem : theBenchmark.p
% 4.75/3.35 % SZS status Unsatisfiable for theBenchmark.p
% 4.75/3.35 % SZS output start CNFRefutation
% See solution above
% 4.75/3.36 % Total time : 2.372s
%------------------------------------------------------------------------------