%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR104+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:07:27 AM UTC 2026
% Result : Theorem 70.74s 10.93s
% Output : CNFRefutation 70.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 55 ( 32 unt; 0 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 104 ( 46 ~; 44 |; 7 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 34 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kb_SUMO_26,axiom,
! [V__X,V__Y] :
( s__subclass(V__X,V__Y)
=> ( s__instance(V__Y,s__SetOrClass)
& s__instance(V__X,s__SetOrClass) ) ),
file('theBenchmark.p',kb_SUMO_26) ).
fof(kb_SUMO_27,axiom,
! [V__X,V__Y,V__Z] :
( ( s__instance(V__X,s__SetOrClass)
& s__instance(V__Y,s__SetOrClass) )
=> ( ( s__instance(V__Z,V__X)
& s__subclass(V__X,V__Y) )
=> s__instance(V__Z,V__Y) ) ),
file('theBenchmark.p',kb_SUMO_27) ).
fof(kb_SUMO_68,axiom,
! [V__ROW1,V__ROW2] :
( ( s__instance(V__ROW1,s__TimeInterval)
& s__instance(V__ROW2,s__TimeInterval) )
=> ( s__during(V__ROW1,V__ROW2)
=> s__temporalPart(V__ROW1,V__ROW2) ) ),
file('theBenchmark.p',kb_SUMO_68) ).
fof(kb_SUMO_1502,axiom,
! [V__INST1,V__INST2,V__INST3] :
( ( s__instance(V__INST1,s__TimePosition)
& s__instance(V__INST2,s__TimePosition)
& s__instance(V__INST3,s__TimePosition) )
=> ( ( s__temporalPart(V__INST2,V__INST3)
& s__temporalPart(V__INST1,V__INST2) )
=> s__temporalPart(V__INST1,V__INST3) ) ),
file('theBenchmark.p',kb_SUMO_1502) ).
fof(prove_from_SUMO_MILO,conjecture,
s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
file('theBenchmark.p',prove_from_SUMO_MILO) ).
fof(prove_from_SUMO_MILO_neg,negated_conjecture,
~ s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).
fof(kb_SUMO_1012,axiom,
s__subclass(s__TimeInterval,s__TimePosition),
file('theBenchmark.p',kb_SUMO_1012) ).
cnf(c_387,plain,
s__subclass(s__TimeInterval,s__TimePosition),
inference(clausify,[status(thm)],[kb_SUMO_1012]) ).
fof(kb_SUMO_12819,axiom,
s__subclass(s__TimePosition,s__ConstantQuantity),
file('theBenchmark.p',kb_SUMO_12819) ).
cnf(c_924,plain,
s__subclass(s__TimePosition,s__ConstantQuantity),
inference(clausify,[status(thm)],[kb_SUMO_12819]) ).
fof(kb_SUMO_18243,axiom,
s__subclass(s__TimeInterval,s__TimeMeasure),
file('theBenchmark.p',kb_SUMO_18243) ).
cnf(c_969,plain,
s__subclass(s__TimeInterval,s__TimeMeasure),
inference(clausify,[status(thm)],[kb_SUMO_18243]) ).
fof(kb_SUMO_20327,axiom,
s__subclass(s__TimePoint,s__TimeMeasure),
file('theBenchmark.p',kb_SUMO_20327) ).
cnf(c_980,plain,
s__subclass(s__TimePoint,s__TimeMeasure),
inference(clausify,[status(thm)],[kb_SUMO_20327]) ).
cnf(c_1006,plain,
( s__instance(A,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26]) ).
cnf(c_1008,plain,
( s__instance(C,A)
| ~ s__instance(C,B)
| ~ s__subclass(B,A)
| ~ s__instance(B,s__SetOrClass)
| ~ s__instance(A,s__SetOrClass) ),
inference(clausify,[status(thm)],[kb_SUMO_27]) ).
cnf(c_1009,plain,
( s__temporalPart(B,A)
| ~ s__during(B,A)
| ~ s__instance(B,s__TimeInterval)
| ~ s__instance(A,s__TimeInterval) ),
inference(clausify,[status(thm)],[kb_SUMO_68]) ).
fof(kb_SUMO_1016,axiom,
s__subclass(s__TimePoint,s__TimePosition),
file('theBenchmark.p',kb_SUMO_1016) ).
cnf(c_1030,plain,
s__subclass(s__TimePoint,s__TimePosition),
inference(clausify,[status(thm)],[kb_SUMO_1016]) ).
cnf(c_1053,plain,
( s__temporalPart(C,A)
| ~ s__temporalPart(B,A)
| ~ s__temporalPart(C,B)
| ~ s__instance(C,s__TimePosition)
| ~ s__instance(B,s__TimePosition)
| ~ s__instance(A,s__TimePosition) ),
inference(clausify,[status(thm)],[kb_SUMO_1502]) ).
fof(local_1,axiom,
s__instance(s__TimePoint35_1,s__TimePoint),
file('theBenchmark.p',local_1) ).
cnf(c_1205,plain,
s__instance(s__TimePoint35_1,s__TimePoint),
inference(clausify,[status(thm)],[local_1]) ).
fof(local_2,axiom,
s__instance(s__TimeInterval35_1,s__TimeInterval),
file('theBenchmark.p',local_2) ).
cnf(c_1206,plain,
s__instance(s__TimeInterval35_1,s__TimeInterval),
inference(clausify,[status(thm)],[local_2]) ).
fof(local_3,axiom,
s__instance(s__TimeInterval35_2,s__TimeInterval),
file('theBenchmark.p',local_3) ).
cnf(c_1207,plain,
s__instance(s__TimeInterval35_2,s__TimeInterval),
inference(clausify,[status(thm)],[local_3]) ).
fof(local_4,axiom,
s__temporalPart(s__TimePoint35_1,s__TimeInterval35_1),
file('theBenchmark.p',local_4) ).
cnf(c_1208,plain,
s__temporalPart(s__TimePoint35_1,s__TimeInterval35_1),
inference(clausify,[status(thm)],[local_4]) ).
fof(local_5,axiom,
s__during(s__TimeInterval35_1,s__TimeInterval35_2),
file('theBenchmark.p',local_5) ).
cnf(c_1209,plain,
s__during(s__TimeInterval35_1,s__TimeInterval35_2),
inference(clausify,[status(thm)],[local_5]) ).
cnf(c_1210,negated_conjecture,
~ s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
inference(clausify,[status(thm)],[prove_from_SUMO_MILO_neg]) ).
cnf(c_1297,plain,
s__instance(s__TimePoint,s__SetOrClass),
inference(resolve,[status(thm)],[c_1006,c_980]) ).
cnf(c_1303,plain,
s__instance(s__TimeInterval,s__SetOrClass),
inference(resolve,[status(thm)],[c_1006,c_969]) ).
cnf(c_1319,plain,
s__instance(s__TimePosition,s__SetOrClass),
inference(resolve,[status(thm)],[c_1006,c_924]) ).
cnf(c_6735,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimeInterval)
| ~ s__instance(s__TimeInterval,s__SetOrClass)
| ~ s__instance(s__TimePosition,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1008,c_387]) ).
cnf(c_6736,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimeInterval)
| ~ s__instance(s__TimeInterval,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1319,c_6735]) ).
cnf(c_1545,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimeInterval) ),
inference(resolve,[status(thm)],[c_1303,c_6736]) ).
cnf(c_6737,plain,
( s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2)
| ~ s__instance(s__TimeInterval35_1,s__TimeInterval)
| ~ s__instance(s__TimeInterval35_2,s__TimeInterval) ),
inference(resolve,[status(thm)],[c_1009,c_1209]) ).
cnf(c_6738,plain,
( s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2)
| ~ s__instance(s__TimeInterval35_1,s__TimeInterval) ),
inference(resolve,[status(thm)],[c_1207,c_6737]) ).
cnf(c_1592,plain,
s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2),
inference(resolve,[status(thm)],[c_1206,c_6738]) ).
cnf(c_6739,plain,
( s__instance(B,s__TimePosition)
| ~ s__instance(B,A)
| ~ s__subclass(A,s__TimePosition)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1008,c_1319]) ).
cnf(c_6740,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimeInterval)
| ~ s__subclass(s__TimeInterval,s__TimePosition) ),
inference(resolve,[status(thm)],[c_6739,c_1303]) ).
cnf(c_6741,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimeInterval) ),
inference(resolve,[status(thm)],[c_6740,c_387]) ).
cnf(c_1632,plain,
s__instance(s__TimeInterval35_2,s__TimePosition),
inference(resolve,[status(thm)],[c_6741,c_1207]) ).
cnf(c_6742,plain,
( s__instance(B,s__TimePosition)
| ~ s__instance(B,A)
| ~ s__subclass(A,s__TimePosition)
| ~ s__instance(A,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_1008,c_1319]) ).
cnf(c_6743,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimePoint)
| ~ s__subclass(s__TimePoint,s__TimePosition) ),
inference(resolve,[status(thm)],[c_6742,c_1297]) ).
cnf(c_6744,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimePoint) ),
inference(resolve,[status(thm)],[c_6743,c_1030]) ).
cnf(c_2689,plain,
s__instance(s__TimePoint35_1,s__TimePosition),
inference(resolve,[status(thm)],[c_6744,c_1205]) ).
cnf(c_6689,plain,
s__instance(s__TimeInterval35_1,s__TimePosition),
inference(resolve,[status(thm)],[c_1206,c_1545]) ).
cnf(c_6745,plain,
( s__temporalPart(B,s__TimeInterval35_2)
| ~ s__temporalPart(A,s__TimeInterval35_2)
| ~ s__temporalPart(B,A)
| ~ s__instance(B,s__TimePosition)
| ~ s__instance(A,s__TimePosition) ),
inference(resolve,[status(thm)],[c_1053,c_1632]) ).
cnf(c_6746,plain,
( s__temporalPart(A,s__TimeInterval35_2)
| ~ s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2)
| ~ s__temporalPart(A,s__TimeInterval35_1)
| ~ s__instance(A,s__TimePosition) ),
inference(resolve,[status(thm)],[c_6745,c_6689]) ).
cnf(c_6747,plain,
( s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2)
| ~ s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2)
| ~ s__temporalPart(s__TimePoint35_1,s__TimeInterval35_1) ),
inference(resolve,[status(thm)],[c_6746,c_2689]) ).
cnf(c_6748,plain,
( s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2)
| ~ s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2) ),
inference(resolve,[status(thm)],[c_6747,c_1208]) ).
cnf(c_6749,plain,
s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
inference(resolve,[status(thm)],[c_6748,c_1592]) ).
cnf(c_6734,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1210,c_6749]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR104+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 00:57:04 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38 % Process 2597861 was started by sandbox on n019,
% 0.10/0.38 % Sun Sep 27 00:57:04 2026
% 0.10/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 70.74/10.93
% 70.74/10.93 % SInE (scan): 608 to sos (tol 1.5x), 102 to usable (tol 2.0x), 37276 zapped, of 37986 axioms (depth 3).
% 70.74/10.93
% 70.74/10.93 % From the command line: assign(max_seconds, 300).
% 70.74/10.93
% 70.74/10.93 % given #500 (W,wt=8): 2813 s__subclass(s__Relation,s__Relation). [resolve(1033,a,1305,a)].
% 70.74/10.93
% 70.74/10.93 % given #1000 (T,wt=11): 2175 s__BinaryPredicate != s__SetOrClass | s__instance(s__SetOrClass,s__BinaryPredicate). [factor(1921,b,c),unit_del(b,1341)].
% 70.74/10.93
% 70.74/10.93 % SZS status Theorem for theBenchmark
% 70.74/10.93
% 70.74/10.93 % Proof 1 at 9.26 (+ 0.72) seconds.
% 70.74/10.93 % Length of proof is 29.
% 70.74/10.93 % Level of proof is 5.
% 70.74/10.93 % Maximum clause weight is 120.000.
% 70.74/10.93 % Given clauses 1308.
% 70.74/10.93
% 70.74/10.93 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------