%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR080+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 : n005.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 04:15:04 PM UTC 2026
% Result : Theorem 7.86s 9.08s
% Output : CNFRefutation 7.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 23 unt; 0 def)
% Number of atoms : 169 ( 25 equ)
% Maximal formula atoms : 45 ( 3 avg)
% Number of connectives : 187 ( 69 ~; 79 |; 27 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 86 ( 27 sgn 35 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_from_SUMO,conjecture,
s__part(s__Object6_1,s__Object6_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO) ).
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_100,axiom,
! [X15,X16] :
( ( s__instance(X16,s__Substance)
& s__instance(X15,s__Substance) )
=> ( s__piece(X15,X16)
=> s__part(X15,X16) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_100) ).
fof(local_5,axiom,
s__piece(s__Object6_2,s__Object6_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_5) ).
fof(local_2,axiom,
s__instance(s__Object6_2,s__Substance),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_2) ).
fof(local_3,axiom,
s__instance(s__Object6_3,s__Substance),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_3) ).
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(local_4,axiom,
s__piece(s__Object6_1,s__Object6_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_4) ).
fof(local_1,axiom,
s__instance(s__Object6_1,s__Substance),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).
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(c_0_11,negated_conjecture,
~ s__part(s__Object6_1,s__Object6_3),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_from_SUMO])]) ).
fof(c_0_12,plain,
! [X13920,X13921,X13922,X13923,X13924,X13925,X13926,X13927,X13928] :
( ( s__instance(X13923,X13921)
| ~ s__instance(X13923,X13922)
| ~ s__instance(X13924,X13920)
| ~ s__instance(X13925,X13921)
| ~ s__instance(X13922,s__SetOrClass)
| ~ s__instance(X13921,s__SetOrClass)
| ~ s__instance(X13920,s__SetOrClass)
| X13921 != s__UnionFn(X13922,X13920) )
& ( s__instance(X13924,X13921)
| ~ s__instance(X13923,X13922)
| ~ s__instance(X13924,X13920)
| ~ s__instance(X13925,X13921)
| ~ s__instance(X13922,s__SetOrClass)
| ~ s__instance(X13921,s__SetOrClass)
| ~ s__instance(X13920,s__SetOrClass)
| X13921 != s__UnionFn(X13922,X13920) )
& ( s__instance(X13925,X13922)
| s__instance(X13925,X13920)
| ~ s__instance(X13923,X13922)
| ~ s__instance(X13924,X13920)
| ~ s__instance(X13925,X13921)
| ~ s__instance(X13922,s__SetOrClass)
| ~ s__instance(X13921,s__SetOrClass)
| ~ s__instance(X13920,s__SetOrClass)
| X13921 != s__UnionFn(X13922,X13920) )
& ( s__instance(X13928,s__SetOrClass)
| X13927 = s__UnionFn(X13928,X13926) )
& ( s__instance(X13927,s__SetOrClass)
| X13927 = s__UnionFn(X13928,X13926) )
& ( s__instance(X13926,s__SetOrClass)
| X13927 = s__UnionFn(X13928,X13926) )
& ( s__instance(esk158_3(X13926,X13927,X13928),X13928)
| X13927 = s__UnionFn(X13928,X13926) )
& ( s__instance(esk159_3(X13926,X13927,X13928),X13926)
| X13927 = s__UnionFn(X13928,X13926) )
& ( s__instance(esk160_3(X13926,X13927,X13928),X13927)
| X13927 = s__UnionFn(X13928,X13926) )
& ( ~ s__instance(esk160_3(X13926,X13927,X13928),X13928)
| ~ s__instance(esk158_3(X13926,X13927,X13928),X13927)
| ~ s__instance(esk159_3(X13926,X13927,X13928),X13927)
| X13927 = s__UnionFn(X13928,X13926) )
& ( ~ s__instance(esk160_3(X13926,X13927,X13928),X13926)
| ~ s__instance(esk158_3(X13926,X13927,X13928),X13927)
| ~ s__instance(esk159_3(X13926,X13927,X13928),X13927)
| X13927 = s__UnionFn(X13928,X13926) ) ),
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_13,negated_conjecture,
~ s__part(s__Object6_1,s__Object6_3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
( s__instance(X1,s__SetOrClass)
| X2 = s__UnionFn(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X8236,X8237] :
( ~ s__instance(X8237,s__Substance)
| ~ s__instance(X8236,s__Substance)
| ~ s__piece(X8236,X8237)
| s__part(X8236,X8237) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_100])]) ).
cnf(c_0_16,negated_conjecture,
( s__instance(X1,s__SetOrClass)
| ~ s__part(s__UnionFn(X2,X1),s__Object6_3) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( s__part(X2,X1)
| ~ s__instance(X1,s__Substance)
| ~ s__instance(X2,s__Substance)
| ~ s__piece(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
s__piece(s__Object6_2,s__Object6_3),
inference(split_conjunct,[status(thm)],[local_5]) ).
cnf(c_0_19,plain,
s__instance(s__Object6_2,s__Substance),
inference(split_conjunct,[status(thm)],[local_2]) ).
cnf(c_0_20,plain,
s__instance(s__Object6_3,s__Substance),
inference(split_conjunct,[status(thm)],[local_3]) ).
fof(c_0_21,plain,
! [X13932,X13933] :
( ~ s__instance(X13932,s__SetOrClass)
| ~ s__instance(X13932,s__NullSet)
| ~ s__instance(X13933,X13932) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3533])])]) ).
cnf(c_0_22,negated_conjecture,
( s__instance(X1,s__SetOrClass)
| ~ s__part(X2,s__Object6_3) ),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_23,plain,
s__part(s__Object6_2,s__Object6_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_24,plain,
( ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X1,s__NullSet)
| ~ s__instance(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
s__instance(X1,s__SetOrClass),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_26,plain,
! [X9010,X9011,X9012,X9013,X9014] :
( ( ~ s__disjoint(X9010,X9011)
| ~ s__instance(X9011,s__SetOrClass)
| ~ s__instance(X9010,s__SetOrClass)
| ~ s__instance(X9012,X9010)
| ~ s__instance(X9012,X9011) )
& ( s__instance(X9014,s__SetOrClass)
| s__disjoint(X9013,X9014) )
& ( s__instance(X9013,s__SetOrClass)
| s__disjoint(X9013,X9014) )
& ( s__instance(esk1_2(X9013,X9014),X9013)
| s__disjoint(X9013,X9014) )
& ( s__instance(esk1_2(X9013,X9014),X9014)
| s__disjoint(X9013,X9014) ) ),
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_27,plain,
( ~ s__instance(X1,s__NullSet)
| ~ s__instance(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_28,plain,
( s__instance(esk1_2(X1,X2),X1)
| s__disjoint(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_29,plain,
( s__disjoint(s__NullSet,X1)
| ~ s__instance(X2,esk1_2(s__NullSet,X1)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,plain,
( s__instance(esk158_3(X1,X2,X3),X3)
| X2 = s__UnionFn(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,plain,
( X1 = s__UnionFn(esk1_2(s__NullSet,X2),X3)
| s__disjoint(s__NullSet,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,plain,
( X1 = X2
| s__disjoint(s__NullSet,X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_31]) ).
cnf(c_0_33,plain,
s__piece(s__Object6_1,s__Object6_2),
inference(split_conjunct,[status(thm)],[local_4]) ).
cnf(c_0_34,plain,
s__instance(s__Object6_1,s__Substance),
inference(split_conjunct,[status(thm)],[local_1]) ).
fof(c_0_35,plain,
! [X13917,X13918] :
( ( s__instance(X13918,s__Set)
| X13918 = X13917 )
& ( s__instance(X13917,s__Set)
| X13918 = X13917 )
& ( ~ s__element(esk157_2(X13917,X13918),X13918)
| ~ s__element(esk157_2(X13917,X13918),X13917)
| X13918 = X13917 )
& ( s__element(esk157_2(X13917,X13918),X13918)
| s__element(esk157_2(X13917,X13918),X13917)
| X13918 = X13917 ) ),
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])])])])]) ).
cnf(c_0_36,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_26]) ).
cnf(c_0_37,negated_conjecture,
( s__disjoint(s__NullSet,X1)
| ~ s__part(s__Object6_1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_32]) ).
cnf(c_0_38,plain,
s__part(s__Object6_1,s__Object6_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_33]),c_0_34]),c_0_19])]) ).
cnf(c_0_39,plain,
( s__instance(X1,s__Set)
| X2 = X1 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,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_36,c_0_25]),c_0_25])]) ).
cnf(c_0_41,negated_conjecture,
s__disjoint(s__NullSet,X1),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( s__instance(s__Object6_1,s__Set)
| ~ s__part(X1,s__Object6_3) ),
inference(spm,[status(thm)],[c_0_13,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( ~ s__instance(X1,s__NullSet)
| ~ s__instance(X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
s__instance(s__Object6_1,s__Set),
inference(spm,[status(thm)],[c_0_42,c_0_23]) ).
cnf(c_0_45,negated_conjecture,
( X1 = s__UnionFn(s__NullSet,X2)
| ~ s__instance(esk158_3(X2,X1,s__NullSet),X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_30]) ).
cnf(c_0_46,negated_conjecture,
s__instance(X1,s__Set),
inference(spm,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_47,negated_conjecture,
X1 = s__UnionFn(s__NullSet,X2),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_48,negated_conjecture,
X1 = X2,
inference(spm,[status(thm)],[c_0_47,c_0_47]) ).
cnf(c_0_49,negated_conjecture,
~ s__part(s__Object6_1,X1),
inference(spm,[status(thm)],[c_0_13,c_0_48]) ).
cnf(c_0_50,plain,
$false,
inference(sr,[status(thm)],[c_0_38,c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : CSR080+4 : TPTP v9.2.1. Bugfixed v7.3.0.
% 0.13/0.13 % 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
% 0.18/0.34 % Computer : n005.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Mon May 4 16:47:00 EDT 2026
% 0.18/0.35 % CPUTime :
% 0.21/0.36 % start to proof: theBenchmark
% 7.86/9.08 % Version : CSE_E---1.7
% 7.86/9.08 % Problem : theBenchmark.p
% 7.86/9.08 % SZS status Theorem for theBenchmark.p
% 7.86/9.08 % SZS output start CNFRefutation
% See solution above
% 7.86/9.12 % Total time : 7.345s
%------------------------------------------------------------------------------