%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC315-1 : 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 : n009.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 05:19:09 PM UTC 2026
% Result : Unsatisfiable 1.31s 1.74s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 24
% Syntax : Number of clauses : 80 ( 26 unt; 11 nHn; 80 RR)
% Number of literals : 160 ( 86 equ; 73 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_14,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_7,negated_conjecture,
( nil = sk3
| nil != sk4 ),
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(clause119,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(co1_13,negated_conjecture,
( ssList(sk6)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(co1_9,negated_conjecture,
( ssItem(sk5)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(clause118,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(clause99,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause99) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
cnf(co1_11,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_8,negated_conjecture,
( ssItem(sk5)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_10,negated_conjecture,
( ssList(sk6)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_18,negated_conjecture,
( app(cons(sk7,nil),sk8) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
cnf(clause100,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(co1_16,negated_conjecture,
( ssItem(sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
cnf(co1_17,negated_conjecture,
( ssList(sk8)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
cnf(clause120,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(clause96,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(co1_19,negated_conjecture,
( app(sk8,cons(sk7,nil)) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
cnf(clause97,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(co1_12,negated_conjecture,
( nil = sk2
| app(sk6,cons(sk5,nil)) != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(c_0_24,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| nil != sk1 ),
co1_14 ).
cnf(c_0_25,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_26,negated_conjecture,
( nil = sk3
| nil != sk4 ),
co1_7 ).
cnf(c_0_27,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_28,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause119 ).
cnf(c_0_29,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| sk1 != nil ),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( ssList(sk6)
| nil != sk1 ),
co1_13 ).
cnf(c_0_31,negated_conjecture,
( sk1 = nil
| sk4 != nil ),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( sk6 = nil
| sk4 != nil
| ~ ssList(cons(sk5,nil)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]) ).
cnf(c_0_33,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86 ).
cnf(c_0_34,axiom,
ssList(nil),
clause8 ).
cnf(c_0_35,negated_conjecture,
( sk6 = nil
| sk4 != nil
| ~ ssItem(sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_36,negated_conjecture,
( ssItem(sk5)
| nil != sk1 ),
co1_9 ).
cnf(c_0_37,negated_conjecture,
( sk6 = nil
| sk4 != nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_31]) ).
cnf(c_0_38,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause118 ).
cnf(c_0_39,negated_conjecture,
( app(cons(sk5,nil),nil) = sk4
| sk4 != nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_37]),c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( cons(sk5,nil) = nil
| sk4 != nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_34])]) ).
cnf(c_0_41,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause99 ).
cnf(c_0_42,negated_conjecture,
( cons(sk5,nil) = nil
| sk4 != nil
| ~ ssItem(sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_33]),c_0_34])]) ).
cnf(c_0_43,negated_conjecture,
ssList(sk2),
co1_2 ).
cnf(c_0_44,negated_conjecture,
( sk4 != nil
| ~ ssItem(sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_34])]) ).
cnf(c_0_45,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| nil = sk2 ),
co1_11 ).
cnf(c_0_46,negated_conjecture,
( ssItem(sk5)
| nil = sk2 ),
co1_8 ).
cnf(c_0_47,negated_conjecture,
( ssList(sk6)
| nil = sk2 ),
co1_10 ).
cnf(c_0_48,negated_conjecture,
( app(cons(sk7,nil),sk8) = sk4
| ~ neq(sk4,nil) ),
co1_18 ).
cnf(c_0_49,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
clause100 ).
cnf(c_0_50,negated_conjecture,
ssList(sk4),
inference(rw,[status(thm)],[c_0_43,c_0_25]) ).
cnf(c_0_51,negated_conjecture,
sk4 != nil,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_36]),c_0_31]) ).
cnf(c_0_52,negated_conjecture,
( ssItem(sk7)
| ~ neq(sk4,nil) ),
co1_16 ).
cnf(c_0_53,negated_conjecture,
( ssList(sk8)
| ~ neq(sk4,nil) ),
co1_17 ).
cnf(c_0_54,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| sk4 = nil ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_25]),c_0_25]) ).
cnf(c_0_55,negated_conjecture,
( sk4 = nil
| ssItem(sk5) ),
inference(rw,[status(thm)],[c_0_46,c_0_25]) ).
cnf(c_0_56,negated_conjecture,
( sk4 = nil
| ssList(sk6) ),
inference(rw,[status(thm)],[c_0_47,c_0_25]) ).
cnf(c_0_57,negated_conjecture,
app(cons(sk7,nil),sk8) = sk4,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_34])]),c_0_51]) ).
cnf(c_0_58,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120 ).
cnf(c_0_59,negated_conjecture,
ssItem(sk7),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_49]),c_0_50]),c_0_34])]),c_0_51]) ).
cnf(c_0_60,negated_conjecture,
ssList(sk8),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_49]),c_0_50]),c_0_34])]),c_0_51]) ).
cnf(c_0_61,negated_conjecture,
app(cons(sk5,nil),sk6) = sk4,
inference(sr,[status(thm)],[c_0_54,c_0_51]) ).
cnf(c_0_62,negated_conjecture,
ssItem(sk5),
inference(sr,[status(thm)],[c_0_55,c_0_51]) ).
cnf(c_0_63,negated_conjecture,
ssList(sk6),
inference(sr,[status(thm)],[c_0_56,c_0_51]) ).
cnf(c_0_64,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96 ).
cnf(c_0_65,negated_conjecture,
cons(sk7,sk8) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_66,negated_conjecture,
cons(sk5,sk6) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_58]),c_0_62]),c_0_63])]) ).
cnf(c_0_67,negated_conjecture,
tl(sk4) = sk8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_59]),c_0_60])]) ).
cnf(c_0_68,negated_conjecture,
( app(sk8,cons(sk7,nil)) = sk3
| ~ neq(sk4,nil) ),
co1_19 ).
cnf(c_0_69,negated_conjecture,
sk8 = sk6,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_66]),c_0_67]),c_0_62]),c_0_63])]) ).
cnf(c_0_70,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause97 ).
cnf(c_0_71,negated_conjecture,
( app(sk8,cons(sk7,nil)) = sk1
| ~ neq(sk4,nil) ),
inference(rw,[status(thm)],[c_0_68,c_0_27]) ).
cnf(c_0_72,negated_conjecture,
cons(sk7,sk6) = sk4,
inference(rw,[status(thm)],[c_0_65,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
hd(sk4) = sk5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_66]),c_0_62]),c_0_63])]) ).
cnf(c_0_74,negated_conjecture,
( nil = sk2
| app(sk6,cons(sk5,nil)) != sk1 ),
co1_12 ).
cnf(c_0_75,negated_conjecture,
app(sk8,cons(sk7,nil)) = sk1,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_49]),c_0_50]),c_0_34])]),c_0_51]) ).
cnf(c_0_76,negated_conjecture,
sk7 = sk5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_72]),c_0_73]),c_0_59]),c_0_63])]) ).
cnf(c_0_77,negated_conjecture,
( sk4 = nil
| app(sk6,cons(sk5,nil)) != sk1 ),
inference(rw,[status(thm)],[c_0_74,c_0_25]) ).
cnf(c_0_78,negated_conjecture,
app(sk6,cons(sk5,nil)) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_69]),c_0_76]) ).
cnf(c_0_79,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC315-1 : TPTP v9.2.1. Released v2.4.0.
% 0.12/0.13 % 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
% 0.15/0.34 % Computer : n009.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 04:43:41 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.20/0.35 % start to proof: theBenchmark
% 1.31/1.74 % Version : CSE_E---1.7
% 1.31/1.74 % Problem : theBenchmark.p
% 1.31/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.31/1.74 % SZS output start CNFRefutation
% See solution above
% 1.31/1.74 % Total time : 1.369s
%------------------------------------------------------------------------------