%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC001-1 : 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 : n020.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 05:17:50 PM UTC 2026
% Result : Unsatisfiable 1.29s 1.72s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 11 unt; 3 nHn; 25 RR)
% Number of literals : 49 ( 4 equ; 25 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_7,negated_conjecture,
duplicatefreeP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_9,negated_conjecture,
( memberP(sk3,X1)
| ~ ssItem(X1)
| ~ memberP(sk4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_11,negated_conjecture,
( memberP(sk2,sk5)
| memberP(sk1,sk5)
| ~ duplicatefreeP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_10,negated_conjecture,
( ssItem(sk5)
| ~ duplicatefreeP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_12,negated_conjecture,
( ~ memberP(sk2,sk5)
| ~ memberP(sk1,sk5)
| ~ duplicatefreeP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(co1_8,negated_conjecture,
( memberP(sk4,X1)
| ~ ssItem(X1)
| ~ memberP(sk3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(c_0_8,negated_conjecture,
duplicatefreeP(sk3),
co1_7 ).
cnf(c_0_9,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_10,negated_conjecture,
( memberP(sk3,X1)
| ~ ssItem(X1)
| ~ memberP(sk4,X1) ),
co1_9 ).
cnf(c_0_11,negated_conjecture,
( memberP(sk2,sk5)
| memberP(sk1,sk5)
| ~ duplicatefreeP(sk1) ),
co1_11 ).
cnf(c_0_12,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_13,negated_conjecture,
duplicatefreeP(sk1),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( ssItem(sk5)
| ~ duplicatefreeP(sk1) ),
co1_10 ).
cnf(c_0_15,negated_conjecture,
( ~ memberP(sk2,sk5)
| ~ memberP(sk1,sk5)
| ~ duplicatefreeP(sk1) ),
co1_12 ).
cnf(c_0_16,negated_conjecture,
( memberP(sk1,X1)
| ~ memberP(sk4,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( memberP(sk4,sk5)
| memberP(sk1,sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_18,negated_conjecture,
ssItem(sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_13])]) ).
cnf(c_0_19,negated_conjecture,
( ~ memberP(sk1,sk5)
| ~ memberP(sk4,sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_13]),c_0_12])]) ).
cnf(c_0_20,negated_conjecture,
memberP(sk1,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_21,negated_conjecture,
( memberP(sk4,X1)
| ~ ssItem(X1)
| ~ memberP(sk3,X1) ),
co1_8 ).
cnf(c_0_22,negated_conjecture,
~ memberP(sk4,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_23,negated_conjecture,
( memberP(sk4,X1)
| ~ memberP(sk1,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_21,c_0_9]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_20]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC001-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n020.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 04:14:20 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.29/1.72 % Version : CSE_E---1.7
% 1.29/1.72 % Problem : theBenchmark.p
% 1.29/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.72 % SZS output start CNFRefutation
% See solution above
% 1.29/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------