%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR090+1 : 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 : n016.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 07:07:18 AM UTC 2026
% Result : Theorem 16.99s 2.96s
% Output : CNFRefutation 16.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 45 ( 26 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 89 ( 40 ~; 38 |; 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 : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 31 ( 1 sgn 8 !; 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_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(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]) ).
fof(kb_SUMOcache_4594,axiom,
s__subclass(s__TimeInterval,s__ConstantQuantity),
file('theBenchmark.p',kb_SUMOcache_4594) ).
cnf(c_866,plain,
s__subclass(s__TimeInterval,s__ConstantQuantity),
inference(clausify,[status(thm)],[kb_SUMOcache_4594]) ).
fof(kb_SUMOcache_6968,axiom,
s__subclass(s__TimePosition,s__ConstantQuantity),
file('theBenchmark.p',kb_SUMOcache_6968) ).
cnf(c_935,plain,
s__subclass(s__TimePosition,s__ConstantQuantity),
inference(clausify,[status(thm)],[kb_SUMOcache_6968]) ).
cnf(c_947,plain,
( s__instance(A,s__SetOrClass)
| ~ s__subclass(A,B) ),
inference(clausify,[status(thm)],[kb_SUMO_26]) ).
cnf(c_949,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_967,plain,
s__subclass(s__TimeInterval,s__TimePosition),
inference(clausify,[status(thm)],[kb_SUMO_908]) ).
cnf(c_986,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_1089,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_1090,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_1091,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_1092,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_1093,plain,
s__temporalPart(s__Time17_2,s__Time17_3),
inference(clausify,[status(thm)],[local_5]) ).
cnf(c_1094,negated_conjecture,
~ s__temporalPart(s__Time17_1,s__Time17_3),
inference(clausify,[status(thm)],[prove_from_SUMO_neg]) ).
cnf(c_1134,plain,
s__instance(s__TimePosition,s__SetOrClass),
inference(resolve,[status(thm)],[c_947,c_935]) ).
cnf(c_1160,plain,
s__instance(s__TimeInterval,s__SetOrClass),
inference(resolve,[status(thm)],[c_947,c_866]) ).
cnf(c_6102,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_949,c_1134]) ).
cnf(c_6103,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimeInterval)
| ~ s__subclass(s__TimeInterval,s__TimePosition) ),
inference(resolve,[status(thm)],[c_6102,c_1160]) ).
cnf(c_6104,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimeInterval) ),
inference(resolve,[status(thm)],[c_6103,c_967]) ).
cnf(c_2508,plain,
s__instance(s__Time17_3,s__TimePosition),
inference(resolve,[status(thm)],[c_6104,c_1091]) ).
cnf(c_6105,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_949,c_1134]) ).
cnf(c_6106,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimeInterval)
| ~ s__subclass(s__TimeInterval,s__TimePosition) ),
inference(resolve,[status(thm)],[c_6105,c_1160]) ).
cnf(c_6107,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimeInterval) ),
inference(resolve,[status(thm)],[c_6106,c_967]) ).
cnf(c_2509,plain,
s__instance(s__Time17_1,s__TimePosition),
inference(resolve,[status(thm)],[c_6107,c_1089]) ).
cnf(c_6108,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_949,c_1134]) ).
cnf(c_6109,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimeInterval)
| ~ s__subclass(s__TimeInterval,s__TimePosition) ),
inference(resolve,[status(thm)],[c_6108,c_1160]) ).
cnf(c_6110,plain,
( s__instance(A,s__TimePosition)
| ~ s__instance(A,s__TimeInterval) ),
inference(resolve,[status(thm)],[c_6109,c_967]) ).
cnf(c_6047,plain,
s__instance(s__Time17_2,s__TimePosition),
inference(resolve,[status(thm)],[c_6110,c_1090]) ).
cnf(c_6111,plain,
( s__temporalPart(B,s__Time17_3)
| ~ s__temporalPart(A,s__Time17_3)
| ~ s__temporalPart(B,A)
| ~ s__instance(B,s__TimePosition)
| ~ s__instance(A,s__TimePosition) ),
inference(resolve,[status(thm)],[c_986,c_2508]) ).
cnf(c_6112,plain,
( s__temporalPart(A,s__Time17_3)
| ~ s__temporalPart(s__Time17_2,s__Time17_3)
| ~ s__temporalPart(A,s__Time17_2)
| ~ s__instance(A,s__TimePosition) ),
inference(resolve,[status(thm)],[c_6111,c_6047]) ).
cnf(c_6113,plain,
( s__temporalPart(s__Time17_1,s__Time17_3)
| ~ s__temporalPart(s__Time17_2,s__Time17_3)
| ~ s__temporalPart(s__Time17_1,s__Time17_2) ),
inference(resolve,[status(thm)],[c_6112,c_2509]) ).
cnf(c_6114,plain,
( s__temporalPart(s__Time17_1,s__Time17_3)
| ~ s__temporalPart(s__Time17_2,s__Time17_3) ),
inference(resolve,[status(thm)],[c_6113,c_1092]) ).
cnf(c_6115,plain,
s__temporalPart(s__Time17_1,s__Time17_3),
inference(resolve,[status(thm)],[c_6114,c_1093]) ).
cnf(c_6101,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1094,c_6115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR090+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 00:53:31 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.37 % Process 2079997 was started by sandbox on n016,
% 0.08/0.37 % Sun Sep 27 00:53:31 2026
% 0.08/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 16.99/2.96
% 16.99/2.96 % SInE (scan): 555 to sos (tol 1.5x), 93 to usable (tol 2.0x), 14144 zapped, of 14792 axioms (depth 3).
% 16.99/2.96
% 16.99/2.96 % From the command line: assign(max_seconds, 300).
% 16.99/2.96
% 16.99/2.96 % given #500 (T,wt=8): 3388 s__subclass(s__Human,s__Entity). [hyper(988,a,1218,a,b,1168,a,c,1147,a,d,912,a,e,847,a)].
% 16.99/2.96
% 16.99/2.96 % SZS status Theorem for theBenchmark
% 16.99/2.96
% 16.99/2.96 % Proof 1 at 2.16 (+ 0.22) seconds.
% 16.99/2.96 % Length of proof is 22.
% 16.99/2.96 % Level of proof is 4.
% 16.99/2.96 % Maximum clause weight is 120.000.
% 16.99/2.96 % Given clauses 949.
% 16.99/2.96
% 16.99/2.96 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------