%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC016-1 : 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 : n023.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 05:17:54 PM UTC 2026
% Result : Unsatisfiable 1.29s 1.74s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 40 ( 12 unt; 6 nHn; 40 RR)
% Number of literals : 88 ( 27 equ; 48 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_15,negated_conjecture,
( nil != sk1
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ frontsegP(sk2,X1)
| ~ frontsegP(sk1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_11,negated_conjecture,
( frontsegP(sk3,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_14,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(co1_9,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_8,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_10,negated_conjecture,
( frontsegP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_7,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_12,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(co1_13,negated_conjecture,
( nil = sk2
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ frontsegP(sk2,X1)
| ~ frontsegP(sk1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(c_0_11,negated_conjecture,
( nil != sk1
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ frontsegP(sk2,X1)
| ~ frontsegP(sk1,X1) ),
co1_15 ).
cnf(c_0_12,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_13,negated_conjecture,
( frontsegP(sk3,sk5)
| ~ neq(sk4,nil) ),
co1_11 ).
cnf(c_0_14,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_15,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
co1_14 ).
cnf(c_0_16,negated_conjecture,
( sk1 != nil
| ~ neq(X1,nil)
| ~ frontsegP(sk1,X1)
| ~ frontsegP(sk4,X1)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
co1_9 ).
cnf(c_0_18,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
co1_8 ).
cnf(c_0_19,negated_conjecture,
( frontsegP(sk4,sk5)
| ~ neq(sk4,nil) ),
co1_10 ).
cnf(c_0_20,negated_conjecture,
( frontsegP(sk1,sk5)
| ~ neq(sk4,nil) ),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( neq(sk4,nil)
| sk1 != nil ),
inference(rw,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_22,negated_conjecture,
( nil = sk3
| nil != sk4 ),
co1_7 ).
cnf(c_0_23,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
co1_12 ).
cnf(c_0_24,negated_conjecture,
sk1 != nil,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( sk1 = nil
| sk4 != nil ),
inference(rw,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_26,negated_conjecture,
( nil = sk2
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ frontsegP(sk2,X1)
| ~ frontsegP(sk1,X1) ),
co1_13 ).
cnf(c_0_27,negated_conjecture,
( sk4 = nil
| neq(sk4,nil) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_12]),c_0_12]) ).
cnf(c_0_28,negated_conjecture,
sk4 != nil,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( sk4 = nil
| ~ neq(X1,nil)
| ~ frontsegP(sk1,X1)
| ~ frontsegP(sk4,X1)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_12]),c_0_12]) ).
cnf(c_0_30,negated_conjecture,
neq(sk4,nil),
inference(sr,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( sk4 = nil
| frontsegP(sk1,sk5) ),
inference(spm,[status(thm)],[c_0_20,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( sk4 = nil
| frontsegP(sk4,sk5) ),
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( sk4 = nil
| ssList(sk5) ),
inference(spm,[status(thm)],[c_0_18,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( ~ neq(X1,nil)
| ~ frontsegP(sk1,X1)
| ~ frontsegP(sk4,X1)
| ~ ssList(X1) ),
inference(sr,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
neq(sk5,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_30])]) ).
cnf(c_0_36,negated_conjecture,
frontsegP(sk1,sk5),
inference(sr,[status(thm)],[c_0_31,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
frontsegP(sk4,sk5),
inference(sr,[status(thm)],[c_0_32,c_0_28]) ).
cnf(c_0_38,negated_conjecture,
ssList(sk5),
inference(sr,[status(thm)],[c_0_33,c_0_28]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWC016-1 : TPTP v9.2.1. Released v2.4.0.
% 0.08/0.14 % 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
% 0.16/0.35 % Computer : n023.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Tue May 5 04:15:38 EDT 2026
% 0.16/0.35 % CPUTime :
% 0.16/0.36 % start to proof: theBenchmark
% 1.29/1.74 % Version : CSE_E---1.7
% 1.29/1.74 % Problem : theBenchmark.p
% 1.29/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.74 % SZS output start CNFRefutation
% See solution above
% 1.29/1.74 % Total time : 1.370s
%------------------------------------------------------------------------------