%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC379-1 : 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 : n005.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 05:19:25 PM UTC 2026
% Result : Unsatisfiable 1.30s 1.72s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 56 ( 13 unt; 18 nHn; 56 RR)
% Number of literals : 162 ( 21 equ; 93 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_11,negated_conjecture,
( memberP(sk4,X1)
| ~ ssItem(X1)
| ~ memberP(sk3,X1) ),
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,
( memberP(sk1,sk6)
| memberP(sk2,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_15,negated_conjecture,
( memberP(sk1,sk6)
| sk6 = X1
| ~ ssItem(X1)
| ~ memberP(sk2,X1)
| ~ leq(X1,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(co1_9,negated_conjecture,
( memberP(sk3,X1)
| leq(sk5(X1),X1)
| ~ ssItem(X1)
| ~ memberP(sk4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_13,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(co1_8,negated_conjecture,
( memberP(sk3,X1)
| memberP(sk4,sk5(X1))
| ~ ssItem(X1)
| ~ memberP(sk4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_7,negated_conjecture,
( memberP(sk3,X1)
| ssItem(sk5(X1))
| ~ ssItem(X1)
| ~ memberP(sk4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_18,negated_conjecture,
( leq(sk7,sk6)
| ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
cnf(co1_10,negated_conjecture,
( memberP(sk3,X1)
| ~ ssItem(X1)
| X1 != sk5(X1)
| ~ memberP(sk4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_17,negated_conjecture,
( memberP(sk2,sk7)
| ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(co1_16,negated_conjecture,
( ssItem(sk7)
| ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(co1_19,negated_conjecture,
( sk6 != sk7
| ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
cnf(co1_12,negated_conjecture,
( X1 = X2
| ~ ssItem(X1)
| ~ memberP(sk3,X1)
| ~ ssItem(X2)
| ~ memberP(sk4,X2)
| ~ leq(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(c_0_15,negated_conjecture,
( memberP(sk4,X1)
| ~ ssItem(X1)
| ~ memberP(sk3,X1) ),
co1_11 ).
cnf(c_0_16,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_17,negated_conjecture,
( memberP(sk1,sk6)
| memberP(sk2,sk6) ),
co1_14 ).
cnf(c_0_18,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_19,negated_conjecture,
( memberP(sk1,sk6)
| sk6 = X1
| ~ ssItem(X1)
| ~ memberP(sk2,X1)
| ~ leq(X1,sk6) ),
co1_15 ).
cnf(c_0_20,negated_conjecture,
( memberP(sk3,X1)
| leq(sk5(X1),X1)
| ~ ssItem(X1)
| ~ memberP(sk4,X1) ),
co1_9 ).
cnf(c_0_21,negated_conjecture,
( memberP(sk4,X1)
| ~ memberP(sk1,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( memberP(sk4,sk6)
| memberP(sk1,sk6) ),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
ssItem(sk6),
co1_13 ).
cnf(c_0_24,negated_conjecture,
( sk6 = X1
| memberP(sk1,sk6)
| ~ memberP(sk4,X1)
| ~ leq(X1,sk6)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
( memberP(sk1,X1)
| leq(sk5(X1),X1)
| ~ memberP(sk4,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_26,negated_conjecture,
memberP(sk4,sk6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_27,negated_conjecture,
( memberP(sk3,X1)
| memberP(sk4,sk5(X1))
| ~ ssItem(X1)
| ~ memberP(sk4,X1) ),
co1_8 ).
cnf(c_0_28,negated_conjecture,
( sk5(sk6) = sk6
| memberP(sk1,sk6)
| ~ memberP(sk4,sk5(sk6))
| ~ ssItem(sk5(sk6)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_23])]) ).
cnf(c_0_29,negated_conjecture,
( memberP(sk4,sk5(X1))
| memberP(sk1,X1)
| ~ memberP(sk4,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_30,negated_conjecture,
( memberP(sk3,X1)
| ssItem(sk5(X1))
| ~ ssItem(X1)
| ~ memberP(sk4,X1) ),
co1_7 ).
cnf(c_0_31,negated_conjecture,
( leq(sk7,sk6)
| ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
co1_18 ).
cnf(c_0_32,negated_conjecture,
( memberP(sk3,X1)
| ~ ssItem(X1)
| X1 != sk5(X1)
| ~ memberP(sk4,X1) ),
co1_10 ).
cnf(c_0_33,negated_conjecture,
( sk5(sk6) = sk6
| memberP(sk1,sk6)
| ~ ssItem(sk5(sk6)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_26]),c_0_23])]) ).
cnf(c_0_34,negated_conjecture,
( memberP(sk1,X1)
| ssItem(sk5(X1))
| ~ memberP(sk4,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_30,c_0_16]) ).
cnf(c_0_35,negated_conjecture,
( memberP(sk2,sk7)
| ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
co1_17 ).
cnf(c_0_36,negated_conjecture,
( ssItem(sk7)
| ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
co1_16 ).
cnf(c_0_37,negated_conjecture,
( sk6 != sk7
| ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
co1_19 ).
cnf(c_0_38,negated_conjecture,
( leq(sk7,sk6)
| ~ memberP(sk1,sk6)
| ~ memberP(sk4,sk6) ),
inference(rw,[status(thm)],[c_0_31,c_0_18]) ).
cnf(c_0_39,negated_conjecture,
( memberP(sk1,X1)
| sk5(X1) != X1
| ~ memberP(sk4,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_32,c_0_16]) ).
cnf(c_0_40,negated_conjecture,
( sk5(sk6) = sk6
| memberP(sk1,sk6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_26]),c_0_23])]) ).
cnf(c_0_41,negated_conjecture,
( memberP(sk4,sk7)
| ~ memberP(sk1,sk6)
| ~ memberP(sk4,sk6) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_18]),c_0_18]) ).
cnf(c_0_42,negated_conjecture,
( ssItem(sk7)
| ~ memberP(sk1,sk6)
| ~ memberP(sk4,sk6) ),
inference(rw,[status(thm)],[c_0_36,c_0_18]) ).
cnf(c_0_43,negated_conjecture,
( sk7 != sk6
| ~ memberP(sk1,sk6)
| ~ memberP(sk4,sk6) ),
inference(rw,[status(thm)],[c_0_37,c_0_18]) ).
cnf(c_0_44,negated_conjecture,
( X1 = X2
| ~ ssItem(X1)
| ~ memberP(sk3,X1)
| ~ ssItem(X2)
| ~ memberP(sk4,X2)
| ~ leq(X2,X1) ),
co1_12 ).
cnf(c_0_45,negated_conjecture,
( leq(sk7,sk6)
| ~ memberP(sk1,sk6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_26])]) ).
cnf(c_0_46,negated_conjecture,
memberP(sk1,sk6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_26]),c_0_23])]) ).
cnf(c_0_47,negated_conjecture,
( memberP(sk4,sk7)
| ~ memberP(sk1,sk6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_26])]) ).
cnf(c_0_48,negated_conjecture,
( ssItem(sk7)
| ~ memberP(sk1,sk6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_26])]) ).
cnf(c_0_49,negated_conjecture,
( sk7 != sk6
| ~ memberP(sk1,sk6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_26])]) ).
cnf(c_0_50,negated_conjecture,
( X1 = X2
| ~ memberP(sk1,X1)
| ~ memberP(sk4,X2)
| ~ leq(X2,X1)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_44,c_0_16]) ).
cnf(c_0_51,negated_conjecture,
leq(sk7,sk6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).
cnf(c_0_52,negated_conjecture,
memberP(sk4,sk7),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_46])]) ).
cnf(c_0_53,negated_conjecture,
ssItem(sk7),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_46])]) ).
cnf(c_0_54,negated_conjecture,
sk7 != sk6,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_46])]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(sr,[status(thm)],[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_50,c_0_51]),c_0_46]),c_0_52]),c_0_53]),c_0_23])]),c_0_54]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC379-1 : 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 : n005.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 04:47:15 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % 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 : 1.369s
%------------------------------------------------------------------------------