%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC052-1 : 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 : n001.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 05:18:04 PM UTC 2026
% Result : Unsatisfiable 13.86s 8.54s
% Output : CNFRefutation 13.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of clauses : 83 ( 25 unt; 6 nHn; 79 RR)
% Number of literals : 198 ( 46 equ; 119 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 54 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_11,negated_conjecture,
( frontsegP(sk3,sk5)
| ~ neq(sk4,nil) ),
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,
( neq(sk2,nil)
| nil != sk1 ),
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_7,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_15,negated_conjecture,
( nil != sk1
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(co1_9,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_8,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(clause84,axiom,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).
cnf(clause79,axiom,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause79) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
cnf(clause173,axiom,
( segmentP(X4,X2)
| app(app(X1,X2),X3) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
cnf(co1_12,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(clause56,axiom,
( segmentP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause56) ).
cnf(clause131,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
cnf(clause50,axiom,
ssList(skaf46(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
cnf(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(co1_10,negated_conjecture,
( frontsegP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_13,negated_conjecture,
( nil = sk2
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(clause132,axiom,
( app(X2,skaf45(X1,X2)) = X1
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
cnf(clause51,axiom,
ssList(skaf45(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(clause59,axiom,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause59) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(c_0_24,negated_conjecture,
( frontsegP(sk3,sk5)
| ~ neq(sk4,nil) ),
co1_11 ).
cnf(c_0_25,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_26,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
co1_14 ).
cnf(c_0_27,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_28,negated_conjecture,
( frontsegP(sk1,sk5)
| ~ neq(sk4,nil) ),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( neq(sk4,nil)
| sk1 != nil ),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( nil = sk3
| nil != sk4 ),
co1_7 ).
cnf(c_0_31,negated_conjecture,
( nil != sk1
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1) ),
co1_15 ).
cnf(c_0_32,negated_conjecture,
( frontsegP(sk1,sk5)
| sk1 != nil ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( sk1 = nil
| sk4 != nil ),
inference(rw,[status(thm)],[c_0_30,c_0_25]) ).
cnf(c_0_34,negated_conjecture,
( sk1 != nil
| ~ neq(X1,nil)
| ~ segmentP(sk1,X1)
| ~ segmentP(sk4,X1)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
co1_9 ).
cnf(c_0_36,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
co1_8 ).
cnf(c_0_37,axiom,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
clause84 ).
cnf(c_0_38,negated_conjecture,
( frontsegP(nil,sk5)
| sk4 != nil ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( sk1 != nil
| ~ segmentP(sk1,sk5)
| ~ segmentP(sk4,sk5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_29]) ).
cnf(c_0_40,negated_conjecture,
( sk5 = nil
| sk4 != nil
| ~ ssList(sk5) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( ssList(sk5)
| sk1 != nil ),
inference(spm,[status(thm)],[c_0_36,c_0_29]) ).
cnf(c_0_42,axiom,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause79 ).
cnf(c_0_43,axiom,
ssList(nil),
clause8 ).
cnf(c_0_44,negated_conjecture,
( sk4 != nil
| ~ segmentP(nil,sk5)
| ~ segmentP(sk4,sk5) ),
inference(spm,[status(thm)],[c_0_39,c_0_33]) ).
cnf(c_0_45,negated_conjecture,
( sk5 = nil
| sk4 != nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_33]) ).
cnf(c_0_46,plain,
segmentP(nil,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_42]),c_0_43])]) ).
cnf(c_0_47,negated_conjecture,
ssList(sk2),
co1_2 ).
cnf(c_0_48,axiom,
( segmentP(X4,X2)
| app(app(X1,X2),X3) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4) ),
clause173 ).
cnf(c_0_49,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
co1_12 ).
cnf(c_0_50,negated_conjecture,
( sk4 != nil
| ~ segmentP(sk4,nil) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_51,axiom,
( segmentP(X1,nil)
| ~ ssList(X1) ),
clause56 ).
cnf(c_0_52,negated_conjecture,
ssList(sk4),
inference(rw,[status(thm)],[c_0_47,c_0_27]) ).
cnf(c_0_53,plain,
( segmentP(app(app(X1,X2),X3),X2)
| ~ ssList(app(app(X1,X2),X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_54,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause131 ).
cnf(c_0_55,axiom,
ssList(skaf46(X1,X2)),
clause50 ).
cnf(c_0_56,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85 ).
cnf(c_0_57,negated_conjecture,
( frontsegP(sk4,sk5)
| ~ neq(sk4,nil) ),
co1_10 ).
cnf(c_0_58,negated_conjecture,
( sk4 = nil
| neq(sk4,nil) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_27]),c_0_27]) ).
cnf(c_0_59,negated_conjecture,
( nil = sk2
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1) ),
co1_13 ).
cnf(c_0_60,negated_conjecture,
sk4 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_61,plain,
( segmentP(app(X1,X2),X3)
| ~ rearsegP(X1,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_62,axiom,
( app(X2,skaf45(X1,X2)) = X1
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause132 ).
cnf(c_0_63,axiom,
ssList(skaf45(X1,X2)),
clause51 ).
cnf(c_0_64,negated_conjecture,
( sk4 = nil
| frontsegP(sk4,sk5) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
( sk4 = nil
| ssList(sk5) ),
inference(spm,[status(thm)],[c_0_36,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
( sk4 = nil
| ~ neq(X1,nil)
| ~ segmentP(sk1,X1)
| ~ segmentP(sk4,X1)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_27]),c_0_27]) ).
cnf(c_0_67,negated_conjecture,
neq(sk4,nil),
inference(sr,[status(thm)],[c_0_58,c_0_60]) ).
cnf(c_0_68,plain,
( segmentP(X1,X2)
| ~ frontsegP(X1,X3)
| ~ rearsegP(X3,X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).
cnf(c_0_69,negated_conjecture,
frontsegP(sk4,sk5),
inference(sr,[status(thm)],[c_0_64,c_0_60]) ).
cnf(c_0_70,negated_conjecture,
ssList(sk5),
inference(sr,[status(thm)],[c_0_65,c_0_60]) ).
cnf(c_0_71,negated_conjecture,
( sk4 = nil
| frontsegP(sk1,sk5) ),
inference(spm,[status(thm)],[c_0_28,c_0_58]) ).
cnf(c_0_72,negated_conjecture,
( ~ neq(X1,nil)
| ~ segmentP(sk1,X1)
| ~ segmentP(sk4,X1)
| ~ ssList(X1) ),
inference(sr,[status(thm)],[c_0_66,c_0_60]) ).
cnf(c_0_73,negated_conjecture,
neq(sk5,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_67])]) ).
cnf(c_0_74,negated_conjecture,
( segmentP(sk4,X1)
| ~ rearsegP(sk5,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_52])]) ).
cnf(c_0_75,axiom,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
clause59 ).
cnf(c_0_76,negated_conjecture,
frontsegP(sk1,sk5),
inference(sr,[status(thm)],[c_0_71,c_0_60]) ).
cnf(c_0_77,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_78,negated_conjecture,
( ~ segmentP(sk1,sk5)
| ~ segmentP(sk4,sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_70])]) ).
cnf(c_0_79,negated_conjecture,
segmentP(sk4,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_70])]) ).
cnf(c_0_80,negated_conjecture,
( segmentP(sk1,X1)
| ~ rearsegP(sk5,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_76]),c_0_70]),c_0_77])]) ).
cnf(c_0_81,negated_conjecture,
~ segmentP(sk1,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]) ).
cnf(c_0_82,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_75]),c_0_70])]),c_0_81]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC052-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.11 % 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
% 0.14/0.31 % Computer : n001.cluster.edu
% 0.14/0.31 % Model : x86_64 x86_64
% 0.14/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.31 % Memory : 8042.1875MB
% 0.14/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.31 % CPULimit : 300
% 0.14/0.31 % WCLimit : 300
% 0.14/0.31 % DateTime : Tue May 5 04:19:18 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 13.86/8.54 % Version : CSE_E---1.7
% 13.86/8.54 % Problem : theBenchmark.p
% 13.86/8.54 % SZS status Unsatisfiable for theBenchmark.p
% 13.86/8.54 % SZS output start CNFRefutation
% See solution above
% 13.86/8.59 % Total time : 6.385s
%------------------------------------------------------------------------------