%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR101+4 : TPTP v9.2.1. Bugfixed v7.3.0.
% 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 : n020.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 04:15:18 PM UTC 2026
% Result : Theorem 7.28s 7.87s
% Output : CNFRefutation 7.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 10 unt; 0 def)
% Number of atoms : 150 ( 25 equ)
% Maximal formula atoms : 45 ( 3 avg)
% Number of connectives : 176 ( 64 ~; 73 |; 27 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 82 ( 26 sgn 33 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_from_SUMO,conjecture,
! [X591] :
( s__instance(X591,s__Class32_2)
=> s__instance(X591,s__Class32_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO) ).
fof(kb_SUMO_3489,axiom,
! [X169,X170] :
( ! [X49] :
( ( s__instance(X170,s__Set)
& s__instance(X169,s__Set) )
=> ( s__element(X49,X170)
<=> s__element(X49,X169) ) )
=> X170 = X169 ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3489) ).
fof(kb_SUMO_3496,axiom,
! [X171,X172,X173] :
( X172 = s__UnionFn(X173,X171)
<=> ! [X174,X175,X176] :
( ( s__instance(X173,s__SetOrClass)
& s__instance(X172,s__SetOrClass)
& s__instance(X171,s__SetOrClass) )
=> ( ( s__instance(X174,X173)
& s__instance(X175,X171)
& s__instance(X176,X172) )
=> ( s__instance(X174,X172)
& s__instance(X175,X172)
& ( s__instance(X176,X173)
| s__instance(X176,X171) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3496) ).
fof(kb_SUMO_3533,axiom,
! [X168] :
( s__instance(X168,s__SetOrClass)
=> ( s__instance(X168,s__NullSet)
=> ~ ? [X48] : s__instance(X48,X168) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3533) ).
fof(kb_SUMO_276,axiom,
! [X9,X10] :
( s__disjoint(X9,X10)
<=> ! [X48] :
( ( s__instance(X10,s__SetOrClass)
& s__instance(X9,s__SetOrClass) )
=> ~ ( s__instance(X48,X9)
& s__instance(X48,X10) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_276) ).
fof(c_0_5,negated_conjecture,
~ ! [X591] :
( s__instance(X591,s__Class32_2)
=> s__instance(X591,s__Class32_1) ),
inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).
fof(c_0_6,negated_conjecture,
( s__instance(esk505_0,s__Class32_2)
& ~ s__instance(esk505_0,s__Class32_1) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_7,plain,
! [X13919,X13920] :
( ( s__instance(X13920,s__Set)
| X13920 = X13919 )
& ( s__instance(X13919,s__Set)
| X13920 = X13919 )
& ( ~ s__element(esk157_2(X13919,X13920),X13920)
| ~ s__element(esk157_2(X13919,X13920),X13919)
| X13920 = X13919 )
& ( s__element(esk157_2(X13919,X13920),X13920)
| s__element(esk157_2(X13919,X13920),X13919)
| X13920 = X13919 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3489])])])])]) ).
fof(c_0_8,plain,
! [X13922,X13923,X13924,X13925,X13926,X13927,X13928,X13929,X13930] :
( ( s__instance(X13925,X13923)
| ~ s__instance(X13925,X13924)
| ~ s__instance(X13926,X13922)
| ~ s__instance(X13927,X13923)
| ~ s__instance(X13924,s__SetOrClass)
| ~ s__instance(X13923,s__SetOrClass)
| ~ s__instance(X13922,s__SetOrClass)
| X13923 != s__UnionFn(X13924,X13922) )
& ( s__instance(X13926,X13923)
| ~ s__instance(X13925,X13924)
| ~ s__instance(X13926,X13922)
| ~ s__instance(X13927,X13923)
| ~ s__instance(X13924,s__SetOrClass)
| ~ s__instance(X13923,s__SetOrClass)
| ~ s__instance(X13922,s__SetOrClass)
| X13923 != s__UnionFn(X13924,X13922) )
& ( s__instance(X13927,X13924)
| s__instance(X13927,X13922)
| ~ s__instance(X13925,X13924)
| ~ s__instance(X13926,X13922)
| ~ s__instance(X13927,X13923)
| ~ s__instance(X13924,s__SetOrClass)
| ~ s__instance(X13923,s__SetOrClass)
| ~ s__instance(X13922,s__SetOrClass)
| X13923 != s__UnionFn(X13924,X13922) )
& ( s__instance(X13930,s__SetOrClass)
| X13929 = s__UnionFn(X13930,X13928) )
& ( s__instance(X13929,s__SetOrClass)
| X13929 = s__UnionFn(X13930,X13928) )
& ( s__instance(X13928,s__SetOrClass)
| X13929 = s__UnionFn(X13930,X13928) )
& ( s__instance(esk158_3(X13928,X13929,X13930),X13930)
| X13929 = s__UnionFn(X13930,X13928) )
& ( s__instance(esk159_3(X13928,X13929,X13930),X13928)
| X13929 = s__UnionFn(X13930,X13928) )
& ( s__instance(esk160_3(X13928,X13929,X13930),X13929)
| X13929 = s__UnionFn(X13930,X13928) )
& ( ~ s__instance(esk160_3(X13928,X13929,X13930),X13930)
| ~ s__instance(esk158_3(X13928,X13929,X13930),X13929)
| ~ s__instance(esk159_3(X13928,X13929,X13930),X13929)
| X13929 = s__UnionFn(X13930,X13928) )
& ( ~ s__instance(esk160_3(X13928,X13929,X13930),X13928)
| ~ s__instance(esk158_3(X13928,X13929,X13930),X13929)
| ~ s__instance(esk159_3(X13928,X13929,X13930),X13929)
| X13929 = s__UnionFn(X13930,X13928) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3496])])])])])]) ).
cnf(c_0_9,negated_conjecture,
~ s__instance(esk505_0,s__Class32_1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( s__instance(X1,s__Set)
| X2 = X1 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( s__instance(X1,s__SetOrClass)
| X2 = s__UnionFn(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( s__instance(X1,s__Set)
| ~ s__instance(esk505_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
s__instance(esk505_0,s__Class32_2),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( s__instance(X1,s__SetOrClass)
| ~ s__instance(esk505_0,s__UnionFn(X2,X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
s__instance(s__Class32_2,s__Set),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_16,plain,
! [X13934,X13935] :
( ~ s__instance(X13934,s__SetOrClass)
| ~ s__instance(X13934,s__NullSet)
| ~ s__instance(X13935,X13934) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3533])])]) ).
cnf(c_0_17,negated_conjecture,
( s__instance(X1,s__SetOrClass)
| ~ s__instance(esk505_0,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_18,negated_conjecture,
s__instance(X1,s__Set),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_19,plain,
( ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X1,s__NullSet)
| ~ s__instance(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
s__instance(X1,s__SetOrClass),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_21,plain,
! [X9012,X9013,X9014,X9015,X9016] :
( ( ~ s__disjoint(X9012,X9013)
| ~ s__instance(X9013,s__SetOrClass)
| ~ s__instance(X9012,s__SetOrClass)
| ~ s__instance(X9014,X9012)
| ~ s__instance(X9014,X9013) )
& ( s__instance(X9016,s__SetOrClass)
| s__disjoint(X9015,X9016) )
& ( s__instance(X9015,s__SetOrClass)
| s__disjoint(X9015,X9016) )
& ( s__instance(esk1_2(X9015,X9016),X9015)
| s__disjoint(X9015,X9016) )
& ( s__instance(esk1_2(X9015,X9016),X9016)
| s__disjoint(X9015,X9016) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_276])])])])])]) ).
cnf(c_0_22,plain,
( ~ s__instance(X1,s__NullSet)
| ~ s__instance(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_23,plain,
( s__instance(esk1_2(X1,X2),X1)
| s__disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
( s__disjoint(s__NullSet,X1)
| ~ s__instance(X2,esk1_2(s__NullSet,X1)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,plain,
( s__instance(esk158_3(X1,X2,X3),X3)
| X2 = s__UnionFn(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,plain,
( X1 = s__UnionFn(esk1_2(s__NullSet,X2),X3)
| s__disjoint(s__NullSet,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,plain,
( X1 = X2
| s__disjoint(s__NullSet,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_26]) ).
cnf(c_0_28,plain,
( ~ s__disjoint(X1,X2)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X3,X1)
| ~ s__instance(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
( s__disjoint(s__NullSet,X1)
| ~ s__instance(esk505_0,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_27]) ).
cnf(c_0_30,plain,
( ~ s__disjoint(X1,X2)
| ~ s__instance(X3,X2)
| ~ s__instance(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_20]),c_0_20])]) ).
cnf(c_0_31,negated_conjecture,
s__disjoint(s__NullSet,X1),
inference(spm,[status(thm)],[c_0_29,c_0_18]) ).
cnf(c_0_32,negated_conjecture,
( ~ s__instance(X1,s__NullSet)
| ~ s__instance(X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,negated_conjecture,
( X1 = s__UnionFn(s__NullSet,X2)
| ~ s__instance(esk158_3(X2,X1,s__NullSet),X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_25]) ).
cnf(c_0_34,negated_conjecture,
X1 = s__UnionFn(s__NullSet,X2),
inference(spm,[status(thm)],[c_0_33,c_0_18]) ).
cnf(c_0_35,negated_conjecture,
X1 = X2,
inference(spm,[status(thm)],[c_0_34,c_0_34]) ).
cnf(c_0_36,negated_conjecture,
~ s__instance(esk505_0,X1),
inference(spm,[status(thm)],[c_0_9,c_0_35]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_13,c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR101+4 : TPTP v9.2.1. Bugfixed v7.3.0.
% 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 : n020.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 : Mon May 4 16:58:04 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 7.28/7.87 % Version : CSE_E---1.7
% 7.28/7.87 % Problem : theBenchmark.p
% 7.28/7.87 % SZS status Theorem for theBenchmark.p
% 7.28/7.87 % SZS output start CNFRefutation
% See solution above
% 7.39/7.91 % Total time : 6.280s
%------------------------------------------------------------------------------