%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR061+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 07:07:00 AM UTC 2026
% Result : Theorem 13.71s 7.54s
% Output : CNFRefutation 13.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 80 ( 54 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 67 ( 35 ~; 23 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 38 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_1109,axiom,
! [X,Y,Z] :
( ( genls(Y,Z)
& genls(X,Y) )
=> genls(X,Z) ),
file('theBenchmark.p',ax1_1109) ).
fof(ax1_1120,axiom,
! [X,Y] :
( disjointwith(X,Y)
=> disjointwith(Y,X) ),
file('theBenchmark.p',ax1_1120) ).
fof(ax1_1121,axiom,
! [ARG1,OLD,NEW] :
( ( genls(NEW,OLD)
& disjointwith(ARG1,OLD) )
=> disjointwith(ARG1,NEW) ),
file('theBenchmark.p',ax1_1121) ).
fof(ax1_1122,axiom,
! [OLD,ARG2,NEW] :
( ( genls(NEW,OLD)
& disjointwith(OLD,ARG2) )
=> disjointwith(NEW,ARG2) ),
file('theBenchmark.p',ax1_1122) ).
fof(query111,conjecture,
( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
file('theBenchmark.p',query111) ).
fof(query111_neg,negated_conjecture,
~ ( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(assume_negation,[status(cth)],[query111]) ).
fof(ax1_68,axiom,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
file('theBenchmark.p',ax1_68) ).
cnf(c_1295,plain,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
inference(clausify,[status(thm)],[ax1_68]) ).
fof(ax1_70,axiom,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
file('theBenchmark.p',ax1_70) ).
cnf(c_1297,plain,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
inference(clausify,[status(thm)],[ax1_70]) ).
fof(ax1_100,axiom,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
file('theBenchmark.p',ax1_100) ).
cnf(c_1311,plain,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
inference(clausify,[status(thm)],[ax1_100]) ).
fof(ax1_129,axiom,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
file('theBenchmark.p',ax1_129) ).
cnf(c_1329,plain,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
inference(clausify,[status(thm)],[ax1_129]) ).
fof(ax1_160,axiom,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
file('theBenchmark.p',ax1_160) ).
cnf(c_1349,plain,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
inference(clausify,[status(thm)],[ax1_160]) ).
fof(ax1_215,axiom,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
file('theBenchmark.p',ax1_215) ).
cnf(c_1383,plain,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
inference(clausify,[status(thm)],[ax1_215]) ).
fof(ax1_235,axiom,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
file('theBenchmark.p',ax1_235) ).
cnf(c_1399,plain,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
inference(clausify,[status(thm)],[ax1_235]) ).
fof(ax1_258,axiom,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
file('theBenchmark.p',ax1_258) ).
cnf(c_1410,plain,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
inference(clausify,[status(thm)],[ax1_258]) ).
fof(ax1_356,axiom,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
file('theBenchmark.p',ax1_356) ).
cnf(c_1464,plain,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
inference(clausify,[status(thm)],[ax1_356]) ).
fof(ax1_361,axiom,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
file('theBenchmark.p',ax1_361) ).
cnf(c_1468,plain,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
inference(clausify,[status(thm)],[ax1_361]) ).
fof(ax1_387,axiom,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
file('theBenchmark.p',ax1_387) ).
cnf(c_1487,plain,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
inference(clausify,[status(thm)],[ax1_387]) ).
fof(ax1_393,axiom,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
file('theBenchmark.p',ax1_393) ).
cnf(c_1493,plain,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
inference(clausify,[status(thm)],[ax1_393]) ).
fof(ax1_401,axiom,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
file('theBenchmark.p',ax1_401) ).
cnf(c_1499,plain,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
inference(clausify,[status(thm)],[ax1_401]) ).
fof(ax1_422,axiom,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
file('theBenchmark.p',ax1_422) ).
cnf(c_1513,plain,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
inference(clausify,[status(thm)],[ax1_422]) ).
fof(ax1_487,axiom,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
file('theBenchmark.p',ax1_487) ).
cnf(c_1545,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
inference(clausify,[status(thm)],[ax1_487]) ).
fof(ax1_489,axiom,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
file('theBenchmark.p',ax1_489) ).
cnf(c_1547,plain,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
inference(clausify,[status(thm)],[ax1_489]) ).
fof(ax1_499,axiom,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
file('theBenchmark.p',ax1_499) ).
cnf(c_1555,plain,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
inference(clausify,[status(thm)],[ax1_499]) ).
cnf(c_1947,plain,
( genls(A,C)
| ~ genls(B,C)
| ~ genls(A,B) ),
inference(clausify,[status(thm)],[ax1_1109]) ).
cnf(c_1954,plain,
( disjointwith(B,A)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[ax1_1120]) ).
cnf(c_1955,plain,
( disjointwith(A,C)
| ~ genls(C,B)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[ax1_1121]) ).
cnf(c_1956,plain,
( disjointwith(C,B)
| ~ genls(C,A)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[ax1_1122]) ).
cnf(c_1963,negated_conjecture,
~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
inference(clausify,[status(thm)],[query111_neg]) ).
cnf(c_2154,plain,
~ disjointwith(c_tptpcol_14_118118,c_tptpcol_8_114177),
inference(resolve,[status(thm)],[c_1954,c_1963]) ).
cnf(c_14065,plain,
( disjointwith(A,c_tptpcol_8_114177)
| ~ disjointwith(A,c_tptpcol_7_113665) ),
inference(resolve,[status(thm)],[c_1955,c_1499]) ).
cnf(c_2179,plain,
~ disjointwith(c_tptpcol_14_118118,c_tptpcol_7_113665),
inference(resolve,[status(thm)],[c_14065,c_2154]) ).
cnf(c_2189,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_14_118118),
inference(resolve,[status(thm)],[c_2179,c_1954]) ).
cnf(c_14066,plain,
( disjointwith(A,c_tptpcol_14_118118)
| ~ disjointwith(A,c_tptpcol_13_118117) ),
inference(resolve,[status(thm)],[c_1955,c_1555]) ).
cnf(c_2193,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_13_118117),
inference(resolve,[status(thm)],[c_14066,c_2189]) ).
cnf(c_2205,plain,
( ~ genls(c_tptpcol_13_118117,A)
| ~ disjointwith(c_tptpcol_7_113665,A) ),
inference(resolve,[status(thm)],[c_2193,c_1955]) ).
cnf(c_2265,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_12_118116),
inference(resolve,[status(thm)],[c_1513,c_2205]) ).
cnf(c_2292,plain,
( ~ genls(c_tptpcol_12_118116,A)
| ~ disjointwith(c_tptpcol_7_113665,A) ),
inference(resolve,[status(thm)],[c_2265,c_1955]) ).
cnf(c_14067,plain,
( genls(c_tptpcol_6_116738,A)
| ~ genls(c_tptpcol_5_114690,A) ),
inference(resolve,[status(thm)],[c_1947,c_1311]) ).
cnf(c_3416,plain,
genls(c_tptpcol_6_116738,c_tptpcol_4_114689),
inference(resolve,[status(thm)],[c_14067,c_1297]) ).
cnf(c_14068,plain,
( genls(c_tptpcol_11_118084,A)
| ~ genls(c_tptpcol_10_118020,A) ),
inference(resolve,[status(thm)],[c_1947,c_1329]) ).
cnf(c_4392,plain,
genls(c_tptpcol_11_118084,c_tptpcol_9_118019),
inference(resolve,[status(thm)],[c_14068,c_1349]) ).
cnf(c_14069,plain,
( genls(c_tptpcol_6_116738,A)
| ~ genls(c_tptpcol_4_114689,A) ),
inference(resolve,[status(thm)],[c_1947,c_3416]) ).
cnf(c_5036,plain,
genls(c_tptpcol_6_116738,c_tptpcol_3_114688),
inference(resolve,[status(thm)],[c_14069,c_1399]) ).
cnf(c_5135,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_11_118084),
inference(resolve,[status(thm)],[c_1410,c_2292]) ).
cnf(c_14070,plain,
( disjointwith(A,c_tptpcol_11_118084)
| ~ disjointwith(A,c_tptpcol_9_118019) ),
inference(resolve,[status(thm)],[c_1955,c_4392]) ).
cnf(c_5163,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_9_118019),
inference(resolve,[status(thm)],[c_14070,c_5135]) ).
cnf(c_14071,plain,
( genls(c_tptpcol_7_117762,A)
| ~ genls(c_tptpcol_6_116738,A) ),
inference(resolve,[status(thm)],[c_1947,c_1468]) ).
cnf(c_6073,plain,
genls(c_tptpcol_7_117762,c_tptpcol_3_114688),
inference(resolve,[status(thm)],[c_14071,c_5036]) ).
cnf(c_14072,plain,
( genls(c_tptpcol_9_118019,A)
| ~ genls(c_tptpcol_8_117763,A) ),
inference(resolve,[status(thm)],[c_1947,c_1487]) ).
cnf(c_6355,plain,
genls(c_tptpcol_9_118019,c_tptpcol_7_117762),
inference(resolve,[status(thm)],[c_14072,c_1464]) ).
cnf(c_14073,plain,
( genls(c_tptpcol_7_113665,A)
| ~ genls(c_tptpcol_6_112641,A) ),
inference(resolve,[status(thm)],[c_1947,c_1383]) ).
cnf(c_6455,plain,
genls(c_tptpcol_7_113665,c_tptpcol_5_110593),
inference(resolve,[status(thm)],[c_14073,c_1493]) ).
cnf(c_14074,plain,
( genls(c_tptpcol_9_118019,A)
| ~ genls(c_tptpcol_7_117762,A) ),
inference(resolve,[status(thm)],[c_1947,c_6355]) ).
cnf(c_7931,plain,
genls(c_tptpcol_9_118019,c_tptpcol_3_114688),
inference(resolve,[status(thm)],[c_14074,c_6073]) ).
cnf(c_14075,plain,
( disjointwith(A,c_tptpcol_3_114688)
| ~ genls(A,c_tptpcol_3_98305) ),
inference(resolve,[status(thm)],[c_1956,c_1545]) ).
cnf(c_8037,plain,
disjointwith(c_tptpcol_4_106497,c_tptpcol_3_114688),
inference(resolve,[status(thm)],[c_14075,c_1295]) ).
cnf(c_14076,plain,
( genls(c_tptpcol_7_113665,A)
| ~ genls(c_tptpcol_5_110593,A) ),
inference(resolve,[status(thm)],[c_1947,c_6455]) ).
cnf(c_8065,plain,
genls(c_tptpcol_7_113665,c_tptpcol_4_106497),
inference(resolve,[status(thm)],[c_14076,c_1547]) ).
cnf(c_14077,plain,
( disjointwith(A,c_tptpcol_9_118019)
| ~ disjointwith(A,c_tptpcol_3_114688) ),
inference(resolve,[status(thm)],[c_1955,c_7931]) ).
cnf(c_13354,plain,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_3_114688),
inference(resolve,[status(thm)],[c_14077,c_5163]) ).
cnf(c_14078,plain,
( disjointwith(A,c_tptpcol_3_114688)
| ~ genls(A,c_tptpcol_4_106497) ),
inference(resolve,[status(thm)],[c_1956,c_8037]) ).
cnf(c_14079,plain,
disjointwith(c_tptpcol_7_113665,c_tptpcol_3_114688),
inference(resolve,[status(thm)],[c_14078,c_8065]) ).
cnf(c_14064,plain,
$false,
inference(resolve,[status(thm)],[c_13354,c_14079]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR061+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n018.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sun Sep 27 00:30:28 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/5.36 % Process 1759171 was started by sandbox on n018,
% 0.08/5.36 % Sun Sep 27 00:30:28 2026
% 0.08/5.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/5.53
% 0.13/5.53 % From the command line: assign(max_seconds, 300).
% 0.13/5.53
% 0.13/5.53 % SInE: 734 to sos, 397 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 13.71/7.54
% 13.71/7.54 % given #500 (F,wt=7): 2601 -tptpcol_15_40430(A) | -pushingwithfingers(A) | -disjointwith(c_pushingwithfingers,c_tptpcol_15_40430). [resolve(2129,a,1954,b)].
% 13.71/7.54
% 13.71/7.54 % given #1000 (W,wt=3): 3513 genlmt(c_tptp_member3717_mt,c_basekb). [ur(1960,a,3005,a,b,3096,a)].
% 13.71/7.54
% 13.71/7.54 % given #1500 (F,wt=3): 4944 -subsetof(c_tptptptpcol_16_25985,c_tptpcol_1_1). [ur(1695,a,4276,a,c,4466,a)].
% 13.71/7.54
% 13.71/7.54 % given #2000 (T,wt=3): 5051 genls(c_tptpcol_8_26629,c_tptpcol_8_26629). [ur(1948,a,5049,a)].
% 13.71/7.54
% 13.71/7.54 % given #2500 (F,wt=2): 6030 -intangibleindividual(c_tptpcol_4_106497). [resolve(5741,a,1446,b)].
% 13.71/7.54
% 13.71/7.54 % given #3000 (T,wt=2): 7873 mathematicalorcomputationalthing(c_tptpcol_3_16386). [ur(1360,a,7872,a)].
% 13.71/7.54
% 13.71/7.54 % given #3500 (F,wt=2): 7548 -microtheory(c_tptpcol_5_16388). [resolve(6481,a,1346,b)].
% 13.71/7.54
% 13.71/7.54 % given #4000 (T,wt=3): 6942 subsetof(c_tptpcol_15_30970,c_tptpcol_15_30970). [ur(1508,a,2412,a)].
% 13.71/7.54
% 13.71/7.54 % given #4500 (A,wt=405): 1682 collection(f_subcollectionofwithrelationtofn(A,B,C)) # tptp_name(ax1_708) # sine_depth(5). [clausify(284)].
% 13.71/7.54
% 13.71/7.54 % given #5000 (T,wt=2): 11301 mathematicalorcomputationalthing(c_microtheory). [ur(1360,a,11300,a)].
% 13.71/7.54
% 13.71/7.54 % given #5500 (W,wt=2): 10440 -tptpcol_3_65538(c_microtheory). [resolve(9395,a,1440,b)].
% 13.71/7.54
% 13.71/7.54 % SZS status Theorem for theBenchmark
% 13.71/7.54
% 13.71/7.54 % Proof 1 at 1.38 (+ 0.53) seconds.
% 13.71/7.54 % Length of proof is 47.
% 13.71/7.54 % Level of proof is 12.
% 13.71/7.54 % Maximum clause weight is 803.000.
% 13.71/7.54 % Given clauses 5914.
% 13.71/7.54
% 13.71/7.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------