%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n025.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 05:34:48 PM UTC 2026
% Result : Unsatisfiable 0.26s 1.66s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_14)
% Comments :
%------------------------------------------------------------------------------
cnf(goal,negated_conjecture,
eq(prop1(X1),bfalse) != btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(axiom_008,axiom,
prop1(X1) = eq(f(X1),bfalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).
cnf(axiom_007,axiom,
f(cons(X1,X2)) = aux(X2,f(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).
cnf(axiom_003,axiom,
h(cons(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).
cnf(axiom_011,axiom,
eq(X1,X1) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_011) ).
cnf(axiom_001,axiom,
aux(X1,bfalse) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_001) ).
cnf(axiom,axiom,
aux(X1,btrue) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
cnf(axiom_009,axiom,
eq(bfalse,btrue) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_009) ).
cnf(axiom_010,axiom,
eq(btrue,bfalse) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_010) ).
cnf(axiom_006,axiom,
f(nil) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_006) ).
cnf(axiom_005,axiom,
g(bfalse) = btrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).
cnf(axiom_004,axiom,
g(btrue) = bfalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_004) ).
cnf(axiom_002,axiom,
h(nil) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_002) ).
cnf(i_0_13,negated_conjecture,
eq(prop1(X1),bfalse) != btrue,
goal ).
cnf(i_0_14,axiom,
prop1(X1) = eq(f(X1),bfalse),
axiom_008 ).
cnf(i_0_15,negated_conjecture,
eq(eq(f(X1),bfalse),bfalse) != btrue,
inference(rw,[status(thm)],[i_0_13,c_0_14]),
[final] ).
cnf(i_0_16,axiom,
f(cons(X1,X2)) = aux(X2,f(X2)),
axiom_007,
[final] ).
cnf(i_0_17,axiom,
h(cons(X1,X2)) = X2,
axiom_003,
[final] ).
cnf(i_0_18,axiom,
eq(X1,X1) = btrue,
axiom_011,
[final] ).
cnf(i_0_19,axiom,
aux(X1,bfalse) = btrue,
axiom_001,
[final] ).
cnf(i_0_20,axiom,
aux(X1,btrue) = bfalse,
axiom,
[final] ).
cnf(i_0_21,axiom,
eq(bfalse,btrue) = bfalse,
axiom_009,
[final] ).
cnf(i_0_22,axiom,
eq(btrue,bfalse) = bfalse,
axiom_010,
[final] ).
cnf(i_0_23,axiom,
f(nil) = btrue,
axiom_006,
[final] ).
cnf(i_0_24,axiom,
g(bfalse) = btrue,
axiom_005,
[final] ).
cnf(i_0_25,axiom,
g(btrue) = bfalse,
axiom_004,
[final] ).
cnf(i_0_26,axiom,
h(nil) = nil,
axiom_002,
[final] ).
cnf(i_0_27,axiom,
X1 = X1 ).
cnf(i_0_28,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_29,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_30,axiom,
( X1 != X2
| eq(X1,X3) = eq(X2,X3) ) ).
cnf(i_0_31,axiom,
( X1 != X2
| eq(X3,X1) = eq(X3,X2) ) ).
cnf(i_0_32,axiom,
( X1 != X2
| f(X1) = f(X2) ) ).
cnf(i_0_33,axiom,
( X1 != X2
| aux(X1,X3) = aux(X2,X3) ) ).
cnf(i_0_34,axiom,
( X1 != X2
| aux(X3,X1) = aux(X3,X2) ) ).
cnf(i_0_35,axiom,
( X1 != X2
| h(X1) = h(X2) ) ).
cnf(i_0_36,axiom,
( X1 != X2
| g(X1) = g(X2) ) ).
cnf(i_0_27_001,axiom,
X1 = X1 ).
cnf(i_0_28_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_29_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_30_004,axiom,
( X1 != X2
| eq(X1,X3) = eq(X2,X3) ) ).
cnf(i_0_31_005,axiom,
( X1 != X2
| eq(X3,X1) = eq(X3,X2) ) ).
cnf(i_0_32_006,axiom,
( X1 != X2
| f(X1) = f(X2) ) ).
cnf(i_0_33_007,axiom,
( X1 != X2
| aux(X1,X3) = aux(X2,X3) ) ).
cnf(i_0_34_008,axiom,
( X1 != X2
| aux(X3,X1) = aux(X3,X2) ) ).
cnf(i_0_35_009,axiom,
( X1 != X2
| h(X1) = h(X2) ) ).
cnf(i_0_36_010,axiom,
( X1 != X2
| g(X1) = g(X2) ) ).
cnf(i_0_37,plain,
btrue = eq(X1,X1),
inference(scs_inference,[],[i_0_18,i_0_28]) ).
cnf(i_0_38,plain,
eq(eq(f(X1),bfalse),bfalse) != eq(X2,X2),
inference(scs_inference,[],[i_0_15,i_0_18,i_0_28,i_0_29]) ).
cnf(i_0_39,plain,
eq(f(X1),bfalse) != bfalse,
inference(scs_inference,[],[i_0_15,i_0_18,i_0_28,i_0_29,i_0_30]) ).
cnf(i_0_40,plain,
aux(X1,f(X1)) = f(cons(X2,X1)),
inference(scs_inference,[],[i_0_16,i_0_28]) ).
cnf(i_0_41,plain,
eq(eq(f(X1),bfalse),bfalse) != h(cons(X2,btrue)),
inference(scs_inference,[],[i_0_15,i_0_16,i_0_17,i_0_28,i_0_29]) ).
cnf(i_0_42,plain,
h(cons(X1,X2)) = X2,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_43,plain,
btrue = aux(X1,bfalse),
inference(scs_inference,[],[i_0_19,i_0_28]) ).
cnf(i_0_44,plain,
f(cons(X1,X2)) = f(cons(X3,X2)),
inference(scs_inference,[],[i_0_40,i_0_19,i_0_16,i_0_28,i_0_29]) ).
cnf(i_0_45,plain,
aux(X1,f(X1)) = f(cons(X2,X1)),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_46,plain,
bfalse = aux(X1,btrue),
inference(scs_inference,[],[i_0_20,i_0_28]) ).
cnf(i_0_47,plain,
f(nil) = aux(X1,bfalse),
inference(scs_inference,[],[i_0_43,i_0_20,i_0_23,i_0_28,i_0_29]) ).
cnf(i_0_48,plain,
aux(X1,bfalse) = f(nil),
inference(scs_inference,[],[i_0_47,i_0_28]) ).
cnf(i_0_49,plain,
eq(bfalse,btrue) = aux(X1,btrue),
inference(scs_inference,[],[i_0_46,i_0_47,i_0_21,i_0_28,i_0_29]) ).
cnf(i_0_50,plain,
aux(X1,btrue) = eq(bfalse,btrue),
inference(scs_inference,[],[i_0_49,i_0_28]) ).
cnf(i_0_51,plain,
btrue = f(nil),
inference(scs_inference,[],[i_0_48,i_0_43,i_0_49,i_0_28,i_0_29]) ).
cnf(i_0_52,plain,
aux(X1,bfalse) = f(nil),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_53,plain,
bfalse = eq(btrue,bfalse),
inference(scs_inference,[],[i_0_22,i_0_28]) ).
cnf(i_0_54,plain,
bfalse = eq(bfalse,btrue),
inference(scs_inference,[],[i_0_50,i_0_46,i_0_22,i_0_28,i_0_29]) ).
cnf(i_0_55,plain,
aux(X1,btrue) = eq(bfalse,btrue),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_56,plain,
btrue = g(bfalse),
inference(scs_inference,[],[i_0_24,i_0_28]) ).
cnf(i_0_57,plain,
g(btrue) = eq(btrue,bfalse),
inference(scs_inference,[],[i_0_53,i_0_24,i_0_25,i_0_28,i_0_29]) ).
cnf(i_0_58,plain,
eq(btrue,bfalse) = g(btrue),
inference(scs_inference,[],[i_0_57,i_0_28]) ).
cnf(i_0_59,plain,
f(nil) = g(bfalse),
inference(scs_inference,[],[i_0_56,i_0_57,i_0_23,i_0_28,i_0_29]) ).
cnf(i_0_60,plain,
g(bfalse) = f(nil),
inference(scs_inference,[],[i_0_59,i_0_28]) ).
cnf(i_0_61,plain,
bfalse = g(btrue),
inference(scs_inference,[],[i_0_58,i_0_53,i_0_59,i_0_28,i_0_29]) ).
cnf(i_0_62,plain,
nil = h(nil),
inference(scs_inference,[],[i_0_26,i_0_28]) ).
cnf(i_0_63,plain,
g(bfalse) = aux(X1,bfalse),
inference(scs_inference,[],[i_0_43,i_0_26,i_0_24,i_0_28,i_0_29]) ).
cnf(i_0_64,plain,
aux(X1,bfalse) = g(bfalse),
inference(scs_inference,[],[i_0_63,i_0_28]) ).
cnf(i_0_65,plain,
h(cons(X1,nil)) = h(nil),
inference(scs_inference,[],[i_0_62,i_0_63,i_0_17,i_0_28,i_0_29]) ).
cnf(i_0_66,plain,
h(cons(X1,X2)) = X2,
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_67,plain,
h(nil) = h(cons(X1,nil)),
inference(scs_inference,[],[i_0_65,i_0_28]) ).
cnf(i_0_68,plain,
eq(btrue,bfalse) = aux(X1,btrue),
inference(scs_inference,[],[i_0_46,i_0_65,i_0_22,i_0_28,i_0_29]) ).
cnf(i_0_69,plain,
aux(X1,btrue) = eq(btrue,bfalse),
inference(scs_inference,[],[i_0_68,i_0_28]) ).
cnf(i_0_70,plain,
nil = h(cons(X1,nil)),
inference(scs_inference,[],[i_0_67,i_0_62,i_0_68,i_0_28,i_0_29]) ).
cnf(i_0_71,plain,
X1 = h(cons(X2,X1)),
inference(scs_inference,[],[i_0_17,i_0_28]) ).
cnf(i_0_72,plain,
aux(X1,btrue) = g(btrue),
inference(scs_inference,[],[i_0_69,i_0_58,i_0_17,i_0_28,i_0_29]) ).
cnf(i_0_73,plain,
g(btrue) = aux(X1,btrue),
inference(scs_inference,[],[i_0_72,i_0_28]) ).
cnf(i_0_74,plain,
eq(bfalse,btrue) = eq(btrue,bfalse),
inference(scs_inference,[],[i_0_53,i_0_72,i_0_21,i_0_28,i_0_29]) ).
cnf(i_0_75,plain,
eq(btrue,bfalse) = eq(bfalse,btrue),
inference(scs_inference,[],[i_0_74,i_0_28]) ).
cnf(i_0_76,plain,
g(btrue) = eq(bfalse,btrue),
inference(scs_inference,[],[i_0_73,i_0_50,i_0_74,i_0_28,i_0_29]) ).
cnf(i_0_77,plain,
aux(X1,btrue) = eq(bfalse,btrue),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_78,plain,
eq(bfalse,btrue) = g(btrue),
inference(scs_inference,[],[i_0_76,i_0_28]) ).
cnf(i_0_79,plain,
aux(X1,bfalse) = aux(X2,bfalse),
inference(scs_inference,[],[i_0_43,i_0_76,i_0_19,i_0_28,i_0_29]) ).
cnf(i_0_80,plain,
aux(X1,btrue) = aux(X2,btrue),
inference(scs_inference,[],[i_0_69,i_0_68,i_0_29]) ).
cnf(i_0_81,plain,
eq(f(X1),bfalse) != g(btrue),
inference(scs_inference,[],[i_0_39,i_0_25,i_0_29]) ).
cnf(i_0_82,plain,
eq(f(X1),bfalse) != eq(bfalse,btrue),
inference(scs_inference,[],[i_0_78,i_0_81,i_0_29]) ).
cnf(i_0_83,plain,
eq(f(X1),bfalse) != eq(btrue,bfalse),
inference(scs_inference,[],[i_0_75,i_0_82,i_0_29]) ).
cnf(i_0_84,plain,
$false,
inference(scs_inference,[],[i_0_75,i_0_82,i_0_23,i_0_29,i_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0.
% 0.09/0.15 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.12/0.35 % Computer : n025.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue May 5 08:02:13 EDT 2026
% 0.12/0.36 % CPUTime :
% 0.15/0.38 % start to proof: theBenchmark
% 0.26/1.66 % Version : CSE_E---1.7
% 0.26/1.66 % Problem : theBenchmark.p
% 0.26/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 0.26/1.66 % SZS output start CNFRefutation
% See solution above
% 0.33/1.73 % Total time : 1.270s
%------------------------------------------------------------------------------