%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR090+4 : 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 : n013.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 07:07:19 AM UTC 2026
% Result : Theorem 3.63s 1.07s
% Output : CNFRefutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 22 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 67 ( 29 ~; 27 |; 6 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 24 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kb_SUMO_1262,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_1262) ).
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(prove_from_SUMO,conjecture,
s__temporalPart(s__Time17_1,s__Time17_3),
file('theBenchmark.p',prove_from_SUMO) ).
fof(prove_from_SUMO_neg,negated_conjecture,
~ s__temporalPart(s__Time17_1,s__Time17_3),
inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).
cnf(c_253,plain,
( s__instance(A,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26]) ).
cnf(c_254,plain,
( s__instance(B,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26]) ).
cnf(c_255,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]) ).
fof(kb_SUMO_908,axiom,
s__subclass(s__TimeInterval,s__TimePosition),
file('theBenchmark.p',kb_SUMO_908) ).
cnf(c_552,plain,
s__subclass(s__TimeInterval,s__TimePosition),
inference(clausify,[status(thm)],[kb_SUMO_908]) ).
cnf(c_565,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_1262]) ).
fof(local_1,axiom,
s__instance(s__Time17_1,s__TimeInterval),
file('theBenchmark.p',local_1) ).
cnf(c_615,plain,
s__instance(s__Time17_1,s__TimeInterval),
inference(clausify,[status(thm)],[local_1]) ).
fof(local_2,axiom,
s__instance(s__Time17_2,s__TimeInterval),
file('theBenchmark.p',local_2) ).
cnf(c_616,plain,
s__instance(s__Time17_2,s__TimeInterval),
inference(clausify,[status(thm)],[local_2]) ).
fof(local_3,axiom,
s__instance(s__Time17_3,s__TimeInterval),
file('theBenchmark.p',local_3) ).
cnf(c_617,plain,
s__instance(s__Time17_3,s__TimeInterval),
inference(clausify,[status(thm)],[local_3]) ).
fof(local_4,axiom,
s__temporalPart(s__Time17_1,s__Time17_2),
file('theBenchmark.p',local_4) ).
cnf(c_618,plain,
s__temporalPart(s__Time17_1,s__Time17_2),
inference(clausify,[status(thm)],[local_4]) ).
fof(local_5,axiom,
s__temporalPart(s__Time17_2,s__Time17_3),
file('theBenchmark.p',local_5) ).
cnf(c_619,plain,
s__temporalPart(s__Time17_2,s__Time17_3),
inference(clausify,[status(thm)],[local_5]) ).
cnf(c_620,negated_conjecture,
~ s__temporalPart(s__Time17_1,s__Time17_3),
inference(clausify,[status(thm)],[prove_from_SUMO_neg]) ).
cnf(c_738,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_552,c_255]) ).
cnf(c_739,plain,
s__instance(s__TimePosition,s__SetOrClass),
inference(resolve,[status(thm)],[c_552,c_254]) ).
cnf(c_740,plain,
s__instance(s__TimeInterval,s__SetOrClass),
inference(resolve,[status(thm)],[c_552,c_253]) ).
cnf(c_1497,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimeInterval)
| ~ s__instance(s__TimeInterval,s__SetOrClass) ),
inference(resolve,[status(thm)],[c_739,c_738]) ).
cnf(c_743,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimeInterval) ),
inference(resolve,[status(thm)],[c_740,c_1497]) ).
cnf(c_841,plain,
s__instance(s__Time17_3,s__TimePosition),
inference(resolve,[status(thm)],[c_743,c_617]) ).
cnf(c_842,plain,
s__instance(s__Time17_1,s__TimePosition),
inference(resolve,[status(thm)],[c_743,c_615]) ).
cnf(c_1498,plain,
( s__temporalPart(A,s__Time17_3)
| ~ s__temporalPart(A,s__Time17_2)
| ~ s__instance(A,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimePosition)
| ~ s__instance(s__Time17_3,s__TimePosition) ),
inference(resolve,[status(thm)],[c_565,c_619]) ).
cnf(c_880,plain,
( s__temporalPart(A,s__Time17_3)
| ~ s__temporalPart(A,s__Time17_2)
| ~ s__instance(A,s__TimePosition)
| ~ s__instance(s__Time17_2,s__TimePosition) ),
inference(resolve,[status(thm)],[c_841,c_1498]) ).
cnf(c_1402,plain,
s__instance(s__Time17_2,s__TimePosition),
inference(resolve,[status(thm)],[c_616,c_743]) ).
cnf(c_1449,plain,
( s__temporalPart(A,s__Time17_3)
| ~ s__temporalPart(A,s__Time17_2)
| ~ s__instance(A,s__TimePosition) ),
inference(resolve,[status(thm)],[c_1402,c_880]) ).
cnf(c_1499,plain,
( s__temporalPart(s__Time17_1,s__Time17_3)
| ~ s__instance(s__Time17_1,s__TimePosition) ),
inference(resolve,[status(thm)],[c_1449,c_618]) ).
cnf(c_1500,plain,
s__temporalPart(s__Time17_1,s__Time17_3),
inference(resolve,[status(thm)],[c_842,c_1499]) ).
cnf(c_1496,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_620,c_1500]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR090+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n013.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 00:48:37 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.45 % Process 3894635 was started by sandbox on n013,
% 0.17/0.45 % Sun Sep 27 00:48:37 2026
% 0.17/0.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 3.63/1.07
% 3.63/1.07 % SInE (scan): 243 to sos (tol 1.5x), 51 to usable (tol 2.0x), 6928 zapped, of 7222 axioms (depth 3).
% 3.63/1.07
% 3.63/1.07 % From the command line: assign(max_seconds, 300).
% 3.63/1.07
% 3.63/1.07 % SZS status Theorem for theBenchmark
% 3.63/1.07
% 3.63/1.07 % Proof 1 at 0.34 (+ 0.10) seconds.
% 3.63/1.07 % Length of proof is 25.
% 3.63/1.07 % Level of proof is 7.
% 3.63/1.07 % Maximum clause weight is 108.000.
% 3.63/1.07 % Given clauses 235.
% 3.63/1.07
% 3.63/1.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------