%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC384-1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n015.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 05:19:26 PM UTC 2026
% Result : Unsatisfiable 1.30s 1.74s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of clauses : 54 ( 22 unt; 14 nHn; 54 RR)
% Number of literals : 106 ( 36 equ; 49 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(clause98,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(co1_12,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(co1_8,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(clause115,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(clause116,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).
cnf(co1_18,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
cnf(co1_9,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_22,negated_conjecture,
( ~ singletonP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_22) ).
cnf(co1_19,negated_conjecture,
( app(app(sk6,sk3),sk7) = sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
cnf(co1_16,negated_conjecture,
( ssList(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
cnf(co1_17,negated_conjecture,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
cnf(clause172,axiom,
( segmentP(app(app(X4,X1),X3),X2)
| ~ segmentP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause172) ).
cnf(clause57,axiom,
( segmentP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).
cnf(c_0_18,negated_conjecture,
neq(sk2,nil),
co1_7 ).
cnf(c_0_19,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_20,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause98 ).
cnf(c_0_21,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
co1_12 ).
cnf(c_0_22,axiom,
ssList(nil),
clause8 ).
cnf(c_0_23,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
co1_8 ).
cnf(c_0_24,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause115 ).
cnf(c_0_25,negated_conjecture,
neq(sk4,nil),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( sk4 = nil
| sk3 != nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_27,plain,
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( neq(nil,nil)
| sk3 != nil ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause116 ).
cnf(c_0_30,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
co1_18 ).
cnf(c_0_31,negated_conjecture,
sk3 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_22])]) ).
cnf(c_0_32,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
co1_9 ).
cnf(c_0_33,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_34,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_35,negated_conjecture,
( ~ singletonP(sk1)
| ~ segmentP(sk2,sk1) ),
co1_22 ).
cnf(c_0_36,plain,
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_37,negated_conjecture,
cons(sk5,nil) = sk3,
inference(sr,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
ssItem(sk5),
inference(sr,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
ssList(sk3),
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( app(app(sk6,sk3),sk7) = sk4
| nil = sk3 ),
co1_19 ).
cnf(c_0_41,negated_conjecture,
( ssList(sk6)
| nil = sk3 ),
co1_16 ).
cnf(c_0_42,negated_conjecture,
( ssList(sk7)
| nil = sk3 ),
co1_17 ).
cnf(c_0_43,negated_conjecture,
( ~ segmentP(sk4,sk3)
| ~ singletonP(sk3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_34]),c_0_19]),c_0_34]) ).
cnf(c_0_44,negated_conjecture,
singletonP(sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_45,axiom,
( segmentP(app(app(X4,X1),X3),X2)
| ~ segmentP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause172 ).
cnf(c_0_46,negated_conjecture,
app(app(sk6,sk3),sk7) = sk4,
inference(sr,[status(thm)],[c_0_40,c_0_31]) ).
cnf(c_0_47,negated_conjecture,
ssList(sk6),
inference(sr,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_48,negated_conjecture,
ssList(sk7),
inference(sr,[status(thm)],[c_0_42,c_0_31]) ).
cnf(c_0_49,negated_conjecture,
~ segmentP(sk4,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).
cnf(c_0_50,negated_conjecture,
( segmentP(sk4,X1)
| ~ segmentP(sk3,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]),c_0_39])]) ).
cnf(c_0_51,negated_conjecture,
~ segmentP(sk3,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_39])]) ).
cnf(c_0_52,axiom,
( segmentP(X1,X1)
| ~ ssList(X1) ),
clause57 ).
cnf(c_0_53,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_39])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC384-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.11 % 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
% 0.12/0.32 % Computer : n015.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 5 04:47:46 EDT 2026
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % start to proof: theBenchmark
% 1.30/1.74 % Version : CSE_E---1.7
% 1.30/1.74 % Problem : theBenchmark.p
% 1.30/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.30/1.74 % SZS output start CNFRefutation
% See solution above
% 1.30/1.74 % Total time : 1.374s
%------------------------------------------------------------------------------