%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC153-1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n010.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 05:18:31 PM UTC 2026
% Result : Unsatisfiable 1.45s 1.79s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 45 ( 26 unt; 0 nHn; 45 RR)
% Number of literals : 118 ( 16 equ; 78 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_15,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(co1_6,negated_conjecture,
sk3 = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(clause130,axiom,
( X2 = X1
| ~ leq(X1,X2)
| ~ leq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause130) ).
cnf(co1_16,negated_conjecture,
leq(sk6,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(co1_11,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_10,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_7,negated_conjecture,
( leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| app(app(app(app(X3,cons(X1,nil)),X4),cons(X2,nil)),X5) != sk3
| ~ leq(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_14,negated_conjecture,
ssList(sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(co1_13,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(co1_12,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(co1_19,negated_conjecture,
( ~ leq(sk10,sk6)
| ~ leq(sk5,sk10)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
cnf(co1_9,negated_conjecture,
( leq(X6,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| app(app(app(app(X3,cons(X1,nil)),X4),cons(X2,nil)),X5) != sk3
| ~ leq(X2,X1)
| ~ ssItem(X6)
| ~ memberP(X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_18,negated_conjecture,
( memberP(sk8,sk10)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
cnf(co1_17,negated_conjecture,
( ssItem(sk10)
| ~ leq(sk5,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(co1_8,negated_conjecture,
( leq(X1,X6)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| app(app(app(app(X3,cons(X1,nil)),X4),cons(X2,nil)),X5) != sk3
| ~ leq(X2,X1)
| ~ ssItem(X6)
| ~ memberP(X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(c_0_15,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
co1_15 ).
cnf(c_0_16,negated_conjecture,
sk3 = sk1,
co1_6 ).
cnf(c_0_17,axiom,
( X2 = X1
| ~ leq(X1,X2)
| ~ leq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause130 ).
cnf(c_0_18,negated_conjecture,
leq(sk6,sk5),
co1_16 ).
cnf(c_0_19,negated_conjecture,
ssItem(sk6),
co1_11 ).
cnf(c_0_20,negated_conjecture,
ssItem(sk5),
co1_10 ).
cnf(c_0_21,negated_conjecture,
( leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| app(app(app(app(X3,cons(X1,nil)),X4),cons(X2,nil)),X5) != sk3
| ~ leq(X2,X1) ),
co1_7 ).
cnf(c_0_22,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk3,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
ssList(sk9),
co1_14 ).
cnf(c_0_24,negated_conjecture,
ssList(sk8),
co1_13 ).
cnf(c_0_25,negated_conjecture,
ssList(sk7),
co1_12 ).
cnf(c_0_26,negated_conjecture,
( sk6 = sk5
| ~ leq(sk5,sk6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_27,negated_conjecture,
leq(sk5,sk6),
inference(cn,[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_21,c_0_22]),c_0_18]),c_0_19]),c_0_20]),c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_28,negated_conjecture,
sk6 = sk5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).
cnf(c_0_29,negated_conjecture,
( ~ leq(sk10,sk6)
| ~ leq(sk5,sk10)
| ~ leq(sk5,sk6) ),
co1_19 ).
cnf(c_0_30,negated_conjecture,
( leq(X6,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| app(app(app(app(X3,cons(X1,nil)),X4),cons(X2,nil)),X5) != sk3
| ~ leq(X2,X1)
| ~ ssItem(X6)
| ~ memberP(X4,X6) ),
co1_9 ).
cnf(c_0_31,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk5,nil)),sk9) = sk3,
inference(rw,[status(thm)],[c_0_22,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
leq(sk5,sk5),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( memberP(sk8,sk10)
| ~ leq(sk5,sk6) ),
co1_18 ).
cnf(c_0_34,negated_conjecture,
( ssItem(sk10)
| ~ leq(sk5,sk6) ),
co1_17 ).
cnf(c_0_35,negated_conjecture,
( ~ leq(sk5,sk10)
| ~ leq(sk10,sk6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_27])]) ).
cnf(c_0_36,negated_conjecture,
( leq(X1,sk5)
| ~ memberP(sk8,X1)
| ~ ssItem(X1) ),
inference(cn,[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_30,c_0_31]),c_0_32]),c_0_20]),c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_37,negated_conjecture,
memberP(sk8,sk10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_27])]) ).
cnf(c_0_38,negated_conjecture,
ssItem(sk10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_27])]) ).
cnf(c_0_39,negated_conjecture,
( leq(X1,X6)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| app(app(app(app(X3,cons(X1,nil)),X4),cons(X2,nil)),X5) != sk3
| ~ leq(X2,X1)
| ~ ssItem(X6)
| ~ memberP(X4,X6) ),
co1_8 ).
cnf(c_0_40,negated_conjecture,
( ~ leq(sk5,sk10)
| ~ leq(sk10,sk5) ),
inference(rw,[status(thm)],[c_0_35,c_0_28]) ).
cnf(c_0_41,negated_conjecture,
leq(sk10,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_42,negated_conjecture,
( leq(sk5,X1)
| ~ memberP(sk8,X1)
| ~ ssItem(X1) ),
inference(cn,[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_39,c_0_31]),c_0_32]),c_0_20]),c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_43,negated_conjecture,
~ leq(sk5,sk10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_37]),c_0_38])]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC153-1 : TPTP v9.2.1. Released v2.4.0.
% 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
% 0.16/0.33 % Computer : n010.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:29:51 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.45/1.79 % Version : CSE_E---1.7
% 1.45/1.79 % Problem : theBenchmark.p
% 1.45/1.79 % SZS status Unsatisfiable for theBenchmark.p
% 1.45/1.79 % SZS output start CNFRefutation
% See solution above
% 1.45/1.79 % Total time : 1.374s
%------------------------------------------------------------------------------