%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC310-1 : 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 : 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 05:19:08 PM UTC 2026
% Result : Unsatisfiable 1.30s 1.73s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of clauses : 73 ( 19 unt; 8 nHn; 73 RR)
% Number of literals : 186 ( 85 equ; 111 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_11,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_9,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_14,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
cnf(co1_8,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(clause118,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
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(clause119,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(co1_10,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(clause99,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause99) ).
cnf(co1_7,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_12,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(co1_13,negated_conjecture,
( nil = sk2
| ~ ssList(X1)
| sk1 != X1
| ~ ssList(X2)
| ~ ssList(X3)
| tl(sk2) != X2
| app(X2,X3) != X1
| ~ ssItem(X4)
| cons(X4,nil) != X3
| hd(sk2) != X4
| ~ neq(nil,sk2)
| ~ neq(nil,sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
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(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(clause96,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(clause97,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(clause100,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
cnf(c_0_21,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk3
| ~ neq(sk4,nil) ),
co1_11 ).
cnf(c_0_22,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_23,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_24,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
co1_9 ).
cnf(c_0_25,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk1
| ~ neq(sk2,nil) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
co1_14 ).
cnf(c_0_27,negated_conjecture,
( ssList(sk6)
| ~ neq(sk2,nil) ),
inference(rw,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
co1_8 ).
cnf(c_0_29,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause118 ).
cnf(c_0_30,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk1
| sk1 != nil ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( ssList(sk6)
| sk1 != nil ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk2,nil) ),
inference(rw,[status(thm)],[c_0_28,c_0_23]) ).
cnf(c_0_33,negated_conjecture,
( sk6 = nil
| sk1 != nil
| ~ ssList(cons(sk5,nil)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_34,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86 ).
cnf(c_0_35,axiom,
ssList(nil),
clause8 ).
cnf(c_0_36,negated_conjecture,
( ssItem(sk5)
| sk1 != nil ),
inference(spm,[status(thm)],[c_0_32,c_0_26]) ).
cnf(c_0_37,negated_conjecture,
( sk6 = nil
| sk1 != nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_38,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause119 ).
cnf(c_0_39,negated_conjecture,
( app(nil,cons(sk5,nil)) = sk1
| sk1 != nil ),
inference(spm,[status(thm)],[c_0_30,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
( cons(sk5,nil) = nil
| sk1 != 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_35])]) ).
cnf(c_0_41,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
co1_10 ).
cnf(c_0_42,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause99 ).
cnf(c_0_43,negated_conjecture,
( cons(sk5,nil) = nil
| sk1 != nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_44,negated_conjecture,
( nil = sk3
| nil != sk4 ),
co1_7 ).
cnf(c_0_45,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| ~ neq(sk2,nil) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_23]),c_0_23]) ).
cnf(c_0_46,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
co1_12 ).
cnf(c_0_47,negated_conjecture,
sk1 != nil,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_35])]),c_0_36]) ).
cnf(c_0_48,negated_conjecture,
( sk1 = nil
| sk2 != nil ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_22]),c_0_23]) ).
cnf(c_0_49,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| sk2 = nil ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
sk2 != nil,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,negated_conjecture,
( sk2 = nil
| ssItem(sk5) ),
inference(spm,[status(thm)],[c_0_32,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( sk2 = nil
| ssList(sk6) ),
inference(spm,[status(thm)],[c_0_27,c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( nil = sk2
| ~ ssList(X1)
| sk1 != X1
| ~ ssList(X2)
| ~ ssList(X3)
| tl(sk2) != X2
| app(X2,X3) != X1
| ~ ssItem(X4)
| cons(X4,nil) != X3
| hd(sk2) != X4
| ~ neq(nil,sk2)
| ~ neq(nil,sk2) ),
co1_13 ).
cnf(c_0_54,negated_conjecture,
app(cons(sk5,nil),sk6) = sk2,
inference(sr,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120 ).
cnf(c_0_56,negated_conjecture,
ssItem(sk5),
inference(sr,[status(thm)],[c_0_51,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
ssList(sk6),
inference(sr,[status(thm)],[c_0_52,c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( sk2 = nil
| sk1 != X1
| tl(sk2) != X2
| hd(sk2) != X4
| app(X2,X3) != X1
| cons(X4,nil) != X3
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ neq(nil,sk2) ),
inference(cn,[status(thm)],[c_0_53]) ).
cnf(c_0_59,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85 ).
cnf(c_0_60,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96 ).
cnf(c_0_61,negated_conjecture,
cons(sk5,sk6) = sk2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57])]) ).
cnf(c_0_62,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause97 ).
cnf(c_0_63,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk1
| sk2 = nil ),
inference(spm,[status(thm)],[c_0_25,c_0_46]) ).
cnf(c_0_64,negated_conjecture,
( sk2 = nil
| app(tl(sk2),cons(hd(sk2),nil)) != sk1
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk2),nil))
| ~ ssList(tl(sk2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_58])])])]),c_0_59]) ).
cnf(c_0_65,negated_conjecture,
tl(sk2) = sk6,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_56]),c_0_57])]) ).
cnf(c_0_66,negated_conjecture,
hd(sk2) = sk5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_61]),c_0_56]),c_0_57])]) ).
cnf(c_0_67,negated_conjecture,
app(sk6,cons(sk5,nil)) = sk1,
inference(sr,[status(thm)],[c_0_63,c_0_50]) ).
cnf(c_0_68,negated_conjecture,
( ~ neq(nil,sk2)
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65]),c_0_65]),c_0_57])]),c_0_50]),c_0_66]),c_0_67]),c_0_66]),c_0_56]),c_0_66])]) ).
cnf(c_0_69,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
clause100 ).
cnf(c_0_70,negated_conjecture,
ssList(sk2),
co1_2 ).
cnf(c_0_71,negated_conjecture,
~ ssList(cons(sk5,nil)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_35]),c_0_70])]),c_0_50]) ).
cnf(c_0_72,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_34]),c_0_56]),c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC310-1 : 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
% 0.15/0.33 % Computer : n002.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:43:31 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.30/1.73 % Version : CSE_E---1.7
% 1.30/1.73 % Problem : theBenchmark.p
% 1.30/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.30/1.73 % SZS output start CNFRefutation
% See solution above
% 1.30/1.73 % Total time : 1.372s
%------------------------------------------------------------------------------