%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC083+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 : n013.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 05:18:11 PM UTC 2026
% Result : Theorem 1.99s 1.90s
% Output : CNFRefutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 18
% Syntax : Number of formulae : 155 ( 62 unt; 0 def)
% Number of atoms : 446 ( 110 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 503 ( 212 ~; 208 |; 31 &)
% ( 4 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 174 ( 0 sgn 85 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X2,X5)
& segmentP(X1,X5) )
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ~ ssList(X8)
| app(app(X6,X7),X8) != X3
| app(X6,X8) != X4 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax6,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(ax82,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax79,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X3,X2) = app(X1,X2)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(ax80,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X2,X3) = app(X2,X1)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(ax42,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(ax50,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( rearsegP(X1,X2)
=> rearsegP(app(X3,X1),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax50) ).
fof(ax43,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(X1,X2)
=> frontsegP(app(X1,X3),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(ax45,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(ax53,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X3) )
=> segmentP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax53) ).
fof(ax51,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax51) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X2,X5)
& segmentP(X1,X5) )
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ~ ssList(X8)
| app(app(X6,X7),X8) != X3
| app(X6,X8) != X4 ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_19,negated_conjecture,
! [X468] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& neq(esk49_0,nil)
& ( ~ ssList(X468)
| ~ neq(X468,nil)
| ~ segmentP(esk49_0,X468)
| ~ segmentP(esk48_0,X468) )
& ssList(esk52_0)
& ssList(esk53_0)
& ssList(esk54_0)
& app(app(esk52_0,esk53_0),esk54_0) = esk50_0
& app(esk52_0,esk54_0) = esk51_0 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_20,plain,
! [X237,X238,X240] :
( ( ssList(esk7_2(X237,X238))
| ~ rearsegP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) )
& ( app(esk7_2(X237,X238),X238) = X237
| ~ rearsegP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) )
& ( ~ ssList(X240)
| app(X240,X238) != X237
| rearsegP(X237,X238)
| ~ ssList(X238)
| ~ ssList(X237) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])])])]) ).
fof(c_0_21,plain,
! [X343,X344] :
( ~ ssList(X343)
| ~ ssList(X344)
| ssList(app(X343,X344)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
fof(c_0_22,plain,
! [X233,X234,X236] :
( ( ssList(esk6_2(X233,X234))
| ~ frontsegP(X233,X234)
| ~ ssList(X234)
| ~ ssList(X233) )
& ( app(X234,esk6_2(X233,X234)) = X233
| ~ frontsegP(X233,X234)
| ~ ssList(X234)
| ~ ssList(X233) )
& ( ~ ssList(X236)
| app(X234,X236) != X233
| frontsegP(X233,X234)
| ~ ssList(X234)
| ~ ssList(X233) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).
cnf(c_0_23,negated_conjecture,
app(app(esk52_0,esk53_0),esk54_0) = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_25,plain,
! [X435,X436,X437] :
( ~ ssList(X435)
| ~ ssList(X436)
| ~ ssList(X437)
| app(app(X435,X436),X437) = app(X435,app(X436,X437)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
cnf(c_0_26,plain,
( rearsegP(X3,X2)
| ~ ssList(X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( frontsegP(X3,X2)
| ~ ssList(X1)
| app(X2,X1) != X3
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
app(app(esk52_0,esk53_0),esk54_0) = esk48_0,
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
ssList(esk54_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,negated_conjecture,
ssList(esk53_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_33,negated_conjecture,
ssList(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_34,plain,
! [X427,X428,X429] :
( ~ ssList(X427)
| ~ ssList(X428)
| ~ ssList(X429)
| app(X429,X428) != app(X427,X428)
| X429 = X427 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).
cnf(c_0_35,plain,
( rearsegP(app(X1,X2),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_26]),c_0_27]) ).
fof(c_0_36,plain,
! [X430,X431,X432] :
( ~ ssList(X430)
| ~ ssList(X431)
| ~ ssList(X432)
| app(X431,X432) != app(X431,X430)
| X432 = X430 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
cnf(c_0_37,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_28]),c_0_27]) ).
cnf(c_0_38,negated_conjecture,
app(esk52_0,app(esk53_0,esk54_0)) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]),c_0_33])]) ).
cnf(c_0_39,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X3,X2) != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( rearsegP(esk48_0,esk54_0)
| ~ ssList(app(esk52_0,esk53_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_29]),c_0_31])]) ).
cnf(c_0_41,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,X3) != app(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( frontsegP(esk48_0,esk52_0)
| ~ ssList(app(esk53_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_33])]) ).
cnf(c_0_43,negated_conjecture,
( X1 = app(esk52_0,esk53_0)
| app(X1,esk54_0) != esk48_0
| ~ ssList(app(esk52_0,esk53_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_29]),c_0_31])]) ).
cnf(c_0_44,plain,
( app(esk7_2(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_45,negated_conjecture,
rearsegP(esk48_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_27]),c_0_32]),c_0_33])]) ).
cnf(c_0_46,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_47,plain,
( ssList(esk7_2(X1,X2))
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_48,negated_conjecture,
( X1 = app(esk53_0,esk54_0)
| app(esk52_0,X1) != esk48_0
| ~ ssList(app(esk53_0,esk54_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_38]),c_0_33])]) ).
cnf(c_0_49,plain,
( app(X1,esk6_2(X2,X1)) = X2
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_50,negated_conjecture,
frontsegP(esk48_0,esk52_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_27]),c_0_31]),c_0_32])]) ).
cnf(c_0_51,plain,
( ssList(esk6_2(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_52,negated_conjecture,
( X1 = app(esk52_0,esk53_0)
| app(X1,esk54_0) != esk48_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_27]),c_0_32]),c_0_33])]) ).
cnf(c_0_53,negated_conjecture,
app(esk7_2(esk48_0,esk54_0),esk54_0) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_31]),c_0_46])]) ).
cnf(c_0_54,negated_conjecture,
ssList(esk7_2(esk48_0,esk54_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_45]),c_0_31]),c_0_46])]) ).
cnf(c_0_55,negated_conjecture,
( X1 = app(esk53_0,esk54_0)
| app(esk52_0,X1) != esk48_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_27]),c_0_31]),c_0_32])]) ).
cnf(c_0_56,negated_conjecture,
app(esk52_0,esk6_2(esk48_0,esk52_0)) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_46]),c_0_33])]) ).
cnf(c_0_57,negated_conjecture,
ssList(esk6_2(esk48_0,esk52_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_50]),c_0_33]),c_0_46])]) ).
cnf(c_0_58,negated_conjecture,
esk7_2(esk48_0,esk54_0) = app(esk52_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
fof(c_0_59,plain,
! [X376] :
( ~ ssList(X376)
| frontsegP(X376,X376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])]) ).
cnf(c_0_60,negated_conjecture,
esk6_2(esk48_0,esk52_0) = app(esk53_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_61,negated_conjecture,
ssList(app(esk52_0,esk53_0)),
inference(rw,[status(thm)],[c_0_54,c_0_58]) ).
cnf(c_0_62,plain,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_63,negated_conjecture,
ssList(app(esk53_0,esk54_0)),
inference(rw,[status(thm)],[c_0_57,c_0_60]) ).
fof(c_0_64,plain,
! [X440] :
( ~ ssList(X440)
| app(X440,nil) = X440 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
cnf(c_0_65,negated_conjecture,
( app(app(esk52_0,esk53_0),app(esk54_0,X1)) = app(esk48_0,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_29]),c_0_31])]),c_0_61])]) ).
cnf(c_0_66,plain,
( app(X1,esk6_2(X1,X1)) = X1
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_62]) ).
cnf(c_0_67,negated_conjecture,
( app(esk52_0,app(app(esk53_0,esk54_0),X1)) = app(esk48_0,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_38]),c_0_33])]),c_0_63])]) ).
cnf(c_0_68,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_70,negated_conjecture,
( app(esk48_0,esk6_2(esk54_0,esk54_0)) = esk48_0
| ~ ssList(esk6_2(esk54_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_29]),c_0_31])]) ).
cnf(c_0_71,plain,
( ssList(esk6_2(X1,X1))
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_62]) ).
cnf(c_0_72,negated_conjecture,
( app(esk48_0,esk6_2(app(esk53_0,esk54_0),app(esk53_0,esk54_0))) = esk48_0
| ~ ssList(esk6_2(app(esk53_0,esk54_0),app(esk53_0,esk54_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_66]),c_0_38]),c_0_63])]) ).
cnf(c_0_73,plain,
( X1 = nil
| app(X2,X1) != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_68]),c_0_69])]) ).
cnf(c_0_74,negated_conjecture,
app(esk48_0,esk6_2(esk54_0,esk54_0)) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_31])]) ).
cnf(c_0_75,negated_conjecture,
app(esk48_0,esk6_2(app(esk53_0,esk54_0),app(esk53_0,esk54_0))) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_71]),c_0_63])]) ).
cnf(c_0_76,negated_conjecture,
( esk6_2(esk54_0,esk54_0) = nil
| ~ ssList(esk6_2(esk54_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_46])]) ).
fof(c_0_77,plain,
! [X241,X242,X245,X246] :
( ( ssList(esk8_2(X241,X242))
| ~ segmentP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) )
& ( ssList(esk9_2(X241,X242))
| ~ segmentP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) )
& ( app(app(esk8_2(X241,X242),X242),esk9_2(X241,X242)) = X241
| ~ segmentP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) )
& ( ~ ssList(X245)
| ~ ssList(X246)
| app(app(X245,X242),X246) != X241
| segmentP(X241,X242)
| ~ ssList(X242)
| ~ ssList(X241) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).
cnf(c_0_78,negated_conjecture,
( esk6_2(app(esk53_0,esk54_0),app(esk53_0,esk54_0)) = nil
| ~ ssList(esk6_2(app(esk53_0,esk54_0),app(esk53_0,esk54_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_75]),c_0_46])]) ).
cnf(c_0_79,negated_conjecture,
app(esk48_0,nil) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_68]),c_0_29]),c_0_69]),c_0_31])]) ).
cnf(c_0_80,negated_conjecture,
esk6_2(esk54_0,esk54_0) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_71]),c_0_31])]) ).
cnf(c_0_81,plain,
( segmentP(X4,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,X3),X2) != X4
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_82,negated_conjecture,
esk6_2(app(esk53_0,esk54_0),app(esk53_0,esk54_0)) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_71]),c_0_63])]) ).
cnf(c_0_83,negated_conjecture,
( ssList(app(esk48_0,X1))
| ~ ssList(app(esk54_0,X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_65]),c_0_61])]) ).
cnf(c_0_84,negated_conjecture,
frontsegP(esk48_0,esk48_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_79]),c_0_46]),c_0_69])]) ).
fof(c_0_85,plain,
! [X392,X393,X394] :
( ~ ssList(X392)
| ~ ssList(X393)
| ~ ssList(X394)
| ~ rearsegP(X392,X393)
| rearsegP(app(X394,X392),X393) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).
cnf(c_0_86,negated_conjecture,
app(esk54_0,nil) = esk54_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_80]),c_0_31])]) ).
fof(c_0_87,plain,
! [X377,X378,X379] :
( ~ ssList(X377)
| ~ ssList(X378)
| ~ ssList(X379)
| ~ frontsegP(X377,X378)
| frontsegP(app(X377,X379),X378) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax43])])]) ).
fof(c_0_88,plain,
! [X384] :
( ~ ssList(X384)
| frontsegP(X384,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).
fof(c_0_89,plain,
! [X397,X398,X399] :
( ~ ssList(X397)
| ~ ssList(X398)
| ~ ssList(X399)
| ~ segmentP(X397,X398)
| ~ segmentP(X398,X399)
| segmentP(X397,X399) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])]) ).
cnf(c_0_90,plain,
( segmentP(app(app(X1,X2),X3),X2)
| ~ ssList(app(app(X1,X2),X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_81]) ).
cnf(c_0_91,negated_conjecture,
app(app(esk53_0,esk54_0),nil) = app(esk53_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_82]),c_0_63])]) ).
cnf(c_0_92,negated_conjecture,
( ssList(app(esk48_0,X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_27]),c_0_31])]) ).
cnf(c_0_93,negated_conjecture,
app(esk48_0,esk6_2(esk48_0,esk48_0)) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_84]),c_0_46])]) ).
cnf(c_0_94,negated_conjecture,
ssList(esk6_2(esk48_0,esk48_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_84]),c_0_46])]) ).
cnf(c_0_95,negated_conjecture,
app(esk52_0,esk54_0) = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_96,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_97,plain,
( rearsegP(app(X3,X1),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ rearsegP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_98,negated_conjecture,
rearsegP(esk54_0,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_86]),c_0_69]),c_0_31])]) ).
fof(c_0_99,plain,
! [X395] :
( ~ ssList(X395)
| rearsegP(X395,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).
cnf(c_0_100,plain,
( frontsegP(app(X1,X3),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_101,plain,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_102,plain,
( segmentP(X1,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_103,negated_conjecture,
segmentP(app(esk53_0,esk54_0),esk54_0),
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_90,c_0_91]),c_0_63]),c_0_31]),c_0_69]),c_0_32])]) ).
cnf(c_0_104,negated_conjecture,
( segmentP(app(esk48_0,X1),app(esk53_0,esk54_0))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_38]),c_0_33])]),c_0_63])]),c_0_92]) ).
cnf(c_0_105,negated_conjecture,
esk6_2(esk48_0,esk48_0) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_93]),c_0_46]),c_0_94])]) ).
cnf(c_0_106,negated_conjecture,
app(esk52_0,esk54_0) = esk49_0,
inference(rw,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_107,negated_conjecture,
( rearsegP(app(X1,esk54_0),nil)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_69]),c_0_31])]) ).
cnf(c_0_108,plain,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_109,plain,
( frontsegP(app(X1,X2),nil)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_69])]) ).
fof(c_0_110,plain,
! [X348] :
( ~ ssList(X348)
| app(nil,X348) = X348 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_111,negated_conjecture,
( segmentP(X1,esk54_0)
| ~ segmentP(X1,app(esk53_0,esk54_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_31]),c_0_63])]) ).
cnf(c_0_112,negated_conjecture,
segmentP(esk48_0,app(esk53_0,esk54_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_66]),c_0_105]),c_0_69]),c_0_46])]) ).
cnf(c_0_113,negated_conjecture,
( segmentP(app(esk49_0,X1),esk54_0)
| ~ ssList(app(esk49_0,X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_106]),c_0_31]),c_0_33])]) ).
cnf(c_0_114,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_115,negated_conjecture,
rearsegP(esk49_0,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_106]),c_0_33])]) ).
cnf(c_0_116,plain,
( app(esk7_2(X1,nil),nil) = X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_108]),c_0_69])]) ).
cnf(c_0_117,plain,
( ssList(esk7_2(X1,nil))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_108]),c_0_69])]) ).
cnf(c_0_118,negated_conjecture,
frontsegP(esk49_0,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_106]),c_0_31]),c_0_33])]) ).
cnf(c_0_119,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_120,plain,
( app(nil,esk6_2(X1,nil)) = X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_101]),c_0_69])]) ).
cnf(c_0_121,plain,
( ssList(esk6_2(X1,nil))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_101]),c_0_69])]) ).
cnf(c_0_122,negated_conjecture,
( X1 = esk52_0
| app(X1,esk54_0) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_106]),c_0_33]),c_0_31])]) ).
cnf(c_0_123,negated_conjecture,
( ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(esk49_0,X1)
| ~ segmentP(esk48_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_124,negated_conjecture,
segmentP(esk48_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_46])]) ).
cnf(c_0_125,negated_conjecture,
segmentP(esk49_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_68]),c_0_114]),c_0_69])]) ).
fof(c_0_126,plain,
! [X322,X323] :
( ( ~ neq(X322,X323)
| X322 != X323
| ~ ssList(X323)
| ~ ssList(X322) )
& ( X322 = X323
| neq(X322,X323)
| ~ ssList(X323)
| ~ ssList(X322) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).
cnf(c_0_127,negated_conjecture,
app(esk7_2(esk49_0,nil),nil) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_115]),c_0_69]),c_0_114])]) ).
cnf(c_0_128,plain,
( esk7_2(X1,nil) = X1
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_116]),c_0_117]) ).
cnf(c_0_129,negated_conjecture,
app(nil,esk6_2(esk49_0,nil)) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_118]),c_0_114]),c_0_69])]) ).
cnf(c_0_130,plain,
( esk6_2(X1,nil) = X1
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
cnf(c_0_131,negated_conjecture,
rearsegP(esk48_0,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_79]),c_0_69]),c_0_46])]) ).
cnf(c_0_132,negated_conjecture,
( app(X1,X2) = esk52_0
| app(X1,app(X2,esk54_0)) != esk49_0
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_30]),c_0_31])]),c_0_27]) ).
cnf(c_0_133,negated_conjecture,
( app(esk52_0,app(esk54_0,X1)) = app(esk49_0,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_106]),c_0_31]),c_0_33])]) ).
cnf(c_0_134,negated_conjecture,
~ neq(esk54_0,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]),c_0_31])]) ).
cnf(c_0_135,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_136,negated_conjecture,
app(esk49_0,nil) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_114])]) ).
cnf(c_0_137,negated_conjecture,
app(nil,esk49_0) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_114])]) ).
cnf(c_0_138,negated_conjecture,
app(esk7_2(esk48_0,nil),nil) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_131]),c_0_69]),c_0_46])]) ).
cnf(c_0_139,negated_conjecture,
ssList(esk7_2(esk48_0,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_131]),c_0_69]),c_0_46])]) ).
cnf(c_0_140,negated_conjecture,
( esk52_0 = esk49_0
| app(esk49_0,esk54_0) != esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_106]),c_0_31]),c_0_33])]) ).
cnf(c_0_141,negated_conjecture,
esk54_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_69]),c_0_31])]) ).
cnf(c_0_142,negated_conjecture,
frontsegP(esk49_0,esk49_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_136]),c_0_114]),c_0_69])]) ).
cnf(c_0_143,negated_conjecture,
( segmentP(app(esk49_0,X1),esk49_0)
| ~ ssList(app(esk49_0,X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_137]),c_0_114]),c_0_69])]) ).
cnf(c_0_144,negated_conjecture,
esk7_2(esk48_0,nil) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_138]),c_0_139])]) ).
cnf(c_0_145,negated_conjecture,
esk52_0 = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141]),c_0_136])]) ).
cnf(c_0_146,negated_conjecture,
app(esk49_0,esk6_2(esk49_0,esk49_0)) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_142]),c_0_114])]) ).
cnf(c_0_147,negated_conjecture,
ssList(esk6_2(esk49_0,esk49_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_142]),c_0_114])]) ).
cnf(c_0_148,negated_conjecture,
( segmentP(app(esk49_0,X1),esk49_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_27]),c_0_114])]) ).
cnf(c_0_149,negated_conjecture,
app(esk49_0,esk53_0) = esk48_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_141]),c_0_144]),c_0_145]) ).
cnf(c_0_150,negated_conjecture,
esk6_2(esk49_0,esk49_0) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_146]),c_0_114]),c_0_147])]) ).
cnf(c_0_151,negated_conjecture,
segmentP(esk48_0,esk49_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_32])]) ).
cnf(c_0_152,negated_conjecture,
segmentP(esk49_0,esk49_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_66]),c_0_114]),c_0_150]),c_0_69])]) ).
cnf(c_0_153,negated_conjecture,
neq(esk49_0,nil),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_154,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_151]),c_0_152]),c_0_114]),c_0_153])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC083+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
% 0.15/0.32 % Computer : n013.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 04:26:11 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.99/1.90 % Version : CSE_E---1.7
% 1.99/1.90 % Problem : theBenchmark.p
% 1.99/1.90 % SZS status Theorem for theBenchmark.p
% 1.99/1.90 % SZS output start CNFRefutation
% See solution above
% 1.99/1.90 % Total time : 1.371s
%------------------------------------------------------------------------------