%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC333-1 : 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 : n002.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 05:19:13 PM UTC 2026
% Result : Unsatisfiable 1.30s 1.72s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 16 unt; 0 nHn; 29 RR)
% Number of literals : 61 ( 4 equ; 35 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_8,negated_conjecture,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_7,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_9,negated_conjecture,
( ~ ssList(X1)
| ~ neq(sk3,X1)
| ~ segmentP(sk4,X1)
| ~ segmentP(X1,sk3)
| ~ totalorderedP(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_11,negated_conjecture,
( neq(sk1,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_13,negated_conjecture,
( segmentP(sk5,sk1)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(co1_12,negated_conjecture,
( segmentP(sk2,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(co1_10,negated_conjecture,
( ssList(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_14,negated_conjecture,
( totalorderedP(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(c_0_10,negated_conjecture,
totalorderedP(sk3),
co1_8 ).
cnf(c_0_11,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_12,negated_conjecture,
segmentP(sk4,sk3),
co1_7 ).
cnf(c_0_13,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_14,negated_conjecture,
( ~ ssList(X1)
| ~ neq(sk3,X1)
| ~ segmentP(sk4,X1)
| ~ segmentP(X1,sk3)
| ~ totalorderedP(X1) ),
co1_9 ).
cnf(c_0_15,negated_conjecture,
( neq(sk1,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
co1_11 ).
cnf(c_0_16,negated_conjecture,
totalorderedP(sk1),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
segmentP(sk2,sk1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( segmentP(sk5,sk1)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
co1_13 ).
cnf(c_0_19,negated_conjecture,
( segmentP(sk2,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
co1_12 ).
cnf(c_0_20,negated_conjecture,
( ssList(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
co1_10 ).
cnf(c_0_21,negated_conjecture,
( totalorderedP(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
co1_14 ).
cnf(c_0_22,negated_conjecture,
( ~ neq(sk1,X1)
| ~ segmentP(X1,sk1)
| ~ segmentP(sk2,X1)
| ~ ssList(X1)
| ~ totalorderedP(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_11]),c_0_13]),c_0_11]) ).
cnf(c_0_23,negated_conjecture,
neq(sk1,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_24,negated_conjecture,
segmentP(sk5,sk1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_16]),c_0_17])]) ).
cnf(c_0_25,negated_conjecture,
segmentP(sk2,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_16]),c_0_17])]) ).
cnf(c_0_26,negated_conjecture,
ssList(sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_16]),c_0_17])]) ).
cnf(c_0_27,negated_conjecture,
totalorderedP(sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_16]),c_0_17])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC333-1 : 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
% 0.14/0.33 % Computer : n002.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 04:45:01 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.30/1.72 % Version : CSE_E---1.7
% 1.30/1.72 % Problem : theBenchmark.p
% 1.30/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.30/1.72 % SZS output start CNFRefutation
% See solution above
% 1.30/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------