%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR061+1 : 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 : n002.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 1.23s 0.72s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 76 ( 52 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 29 ~; 22 |; 3 &)
% ( 0 <=>; 5 =>; 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 : 34 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just55,axiom,
! [ARG1,OLD,NEW] :
( ( genls(NEW,OLD)
& disjointwith(ARG1,OLD) )
=> disjointwith(ARG1,NEW) ),
file('theBenchmark.p',just55) ).
fof(just56,axiom,
! [OLD,ARG2,NEW] :
( ( genls(NEW,OLD)
& disjointwith(OLD,ARG2) )
=> disjointwith(NEW,ARG2) ),
file('theBenchmark.p',just56) ).
fof(just97,axiom,
! [X,Y,Z] :
( ( genls(Y,Z)
& genls(X,Y) )
=> genls(X,Z) ),
file('theBenchmark.p',just97) ).
fof(query61,conjecture,
( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
file('theBenchmark.p',query61) ).
fof(query61_neg,negated_conjecture,
~ ( mtvisible(c_timehasnoendmt)
=> disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
inference(assume_negation,[status(cth)],[query61]) ).
fof(just5,axiom,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
file('theBenchmark.p',just5) ).
cnf(c_404,plain,
genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
inference(clausify,[status(thm)],[just5]) ).
fof(just7,axiom,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
file('theBenchmark.p',just7) ).
cnf(c_405,plain,
genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
inference(clausify,[status(thm)],[just7]) ).
fof(just9,axiom,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
file('theBenchmark.p',just9) ).
cnf(c_406,plain,
genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
inference(clausify,[status(thm)],[just9]) ).
fof(just11,axiom,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
file('theBenchmark.p',just11) ).
cnf(c_407,plain,
genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
inference(clausify,[status(thm)],[just11]) ).
fof(just13,axiom,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
file('theBenchmark.p',just13) ).
cnf(c_408,plain,
genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
inference(clausify,[status(thm)],[just13]) ).
fof(just15,axiom,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
file('theBenchmark.p',just15) ).
cnf(c_409,plain,
genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
inference(clausify,[status(thm)],[just15]) ).
fof(just17,axiom,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
file('theBenchmark.p',just17) ).
cnf(c_410,plain,
genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
inference(clausify,[status(thm)],[just17]) ).
fof(just19,axiom,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
file('theBenchmark.p',just19) ).
cnf(c_411,plain,
genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
inference(clausify,[status(thm)],[just19]) ).
fof(just21,axiom,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
file('theBenchmark.p',just21) ).
cnf(c_412,plain,
genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
inference(clausify,[status(thm)],[just21]) ).
fof(just23,axiom,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
file('theBenchmark.p',just23) ).
cnf(c_413,plain,
genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
inference(clausify,[status(thm)],[just23]) ).
fof(just25,axiom,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
file('theBenchmark.p',just25) ).
cnf(c_414,plain,
genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
inference(clausify,[status(thm)],[just25]) ).
fof(just27,axiom,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
file('theBenchmark.p',just27) ).
cnf(c_415,plain,
genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
inference(clausify,[status(thm)],[just27]) ).
fof(just29,axiom,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
file('theBenchmark.p',just29) ).
cnf(c_416,plain,
genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
inference(clausify,[status(thm)],[just29]) ).
fof(just31,axiom,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
file('theBenchmark.p',just31) ).
cnf(c_417,plain,
genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
inference(clausify,[status(thm)],[just31]) ).
fof(just33,axiom,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
file('theBenchmark.p',just33) ).
cnf(c_418,plain,
genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
inference(clausify,[status(thm)],[just33]) ).
fof(just35,axiom,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
file('theBenchmark.p',just35) ).
cnf(c_419,plain,
genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
inference(clausify,[status(thm)],[just35]) ).
fof(just37,axiom,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
file('theBenchmark.p',just37) ).
cnf(c_420,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
inference(clausify,[status(thm)],[just37]) ).
cnf(c_427,plain,
( disjointwith(A,C)
| ~ genls(C,B)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[just55]) ).
cnf(c_428,plain,
( disjointwith(C,B)
| ~ genls(C,A)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[just56]) ).
cnf(c_429,plain,
( genls(A,C)
| ~ genls(B,C)
| ~ genls(A,B) ),
inference(clausify,[status(thm)],[just97]) ).
cnf(c_436,negated_conjecture,
~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
inference(clausify,[status(thm)],[query61_neg]) ).
cnf(c_2194,plain,
( disjointwith(c_tptpcol_3_98305,A)
| ~ genls(A,c_tptpcol_3_114688) ),
inference(resolve,[status(thm)],[c_427,c_420]) ).
cnf(c_619,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_4_114689),
inference(resolve,[status(thm)],[c_2194,c_409]) ).
cnf(c_2195,plain,
( genls(c_tptpcol_14_118118,A)
| ~ genls(c_tptpcol_13_118117,A) ),
inference(resolve,[status(thm)],[c_429,c_419]) ).
cnf(c_622,plain,
genls(c_tptpcol_14_118118,c_tptpcol_12_118116),
inference(resolve,[status(thm)],[c_2195,c_418]) ).
cnf(c_2196,plain,
( genls(c_tptpcol_12_118116,A)
| ~ genls(c_tptpcol_11_118084,A) ),
inference(resolve,[status(thm)],[c_429,c_417]) ).
cnf(c_624,plain,
genls(c_tptpcol_12_118116,c_tptpcol_10_118020),
inference(resolve,[status(thm)],[c_2196,c_416]) ).
cnf(c_2197,plain,
( genls(c_tptpcol_10_118020,A)
| ~ genls(c_tptpcol_9_118019,A) ),
inference(resolve,[status(thm)],[c_429,c_415]) ).
cnf(c_626,plain,
genls(c_tptpcol_10_118020,c_tptpcol_8_117763),
inference(resolve,[status(thm)],[c_2197,c_414]) ).
cnf(c_2198,plain,
( genls(c_tptpcol_8_117763,A)
| ~ genls(c_tptpcol_7_117762,A) ),
inference(resolve,[status(thm)],[c_429,c_413]) ).
cnf(c_628,plain,
genls(c_tptpcol_8_117763,c_tptpcol_6_116738),
inference(resolve,[status(thm)],[c_2198,c_412]) ).
cnf(c_2199,plain,
( genls(c_tptpcol_6_116738,A)
| ~ genls(c_tptpcol_5_114690,A) ),
inference(resolve,[status(thm)],[c_429,c_411]) ).
cnf(c_630,plain,
genls(c_tptpcol_6_116738,c_tptpcol_4_114689),
inference(resolve,[status(thm)],[c_2199,c_410]) ).
cnf(c_2200,plain,
( genls(c_tptpcol_5_110593,A)
| ~ genls(c_tptpcol_4_106497,A) ),
inference(resolve,[status(thm)],[c_429,c_405]) ).
cnf(c_635,plain,
genls(c_tptpcol_5_110593,c_tptpcol_3_98305),
inference(resolve,[status(thm)],[c_2200,c_404]) ).
cnf(c_2201,plain,
( disjointwith(c_tptpcol_8_114177,A)
| ~ disjointwith(c_tptpcol_7_113665,A) ),
inference(resolve,[status(thm)],[c_428,c_408]) ).
cnf(c_702,negated_conjecture,
~ disjointwith(c_tptpcol_7_113665,c_tptpcol_14_118118),
inference(resolve,[status(thm)],[c_2201,c_436]) ).
cnf(c_2202,plain,
( disjointwith(c_tptpcol_7_113665,A)
| ~ disjointwith(c_tptpcol_6_112641,A) ),
inference(resolve,[status(thm)],[c_428,c_407]) ).
cnf(c_892,plain,
~ disjointwith(c_tptpcol_6_112641,c_tptpcol_14_118118),
inference(resolve,[status(thm)],[c_2202,c_702]) ).
cnf(c_2203,plain,
( disjointwith(c_tptpcol_6_112641,A)
| ~ disjointwith(c_tptpcol_5_110593,A) ),
inference(resolve,[status(thm)],[c_428,c_406]) ).
cnf(c_908,plain,
~ disjointwith(c_tptpcol_5_110593,c_tptpcol_14_118118),
inference(resolve,[status(thm)],[c_2203,c_892]) ).
cnf(c_2204,plain,
( genls(c_tptpcol_14_118118,A)
| ~ genls(c_tptpcol_12_118116,A) ),
inference(resolve,[status(thm)],[c_429,c_622]) ).
cnf(c_964,plain,
genls(c_tptpcol_14_118118,c_tptpcol_10_118020),
inference(resolve,[status(thm)],[c_2204,c_624]) ).
cnf(c_2205,plain,
( genls(c_tptpcol_10_118020,A)
| ~ genls(c_tptpcol_8_117763,A) ),
inference(resolve,[status(thm)],[c_429,c_626]) ).
cnf(c_1035,plain,
genls(c_tptpcol_10_118020,c_tptpcol_6_116738),
inference(resolve,[status(thm)],[c_2205,c_628]) ).
cnf(c_2206,plain,
( disjointwith(c_tptpcol_3_98305,A)
| ~ genls(A,c_tptpcol_4_114689) ),
inference(resolve,[status(thm)],[c_427,c_619]) ).
cnf(c_1041,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_6_116738),
inference(resolve,[status(thm)],[c_2206,c_630]) ).
cnf(c_2207,plain,
( disjointwith(c_tptpcol_5_110593,A)
| ~ disjointwith(c_tptpcol_3_98305,A) ),
inference(resolve,[status(thm)],[c_428,c_635]) ).
cnf(c_1189,plain,
~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118),
inference(resolve,[status(thm)],[c_2207,c_908]) ).
cnf(c_2208,plain,
( disjointwith(c_tptpcol_3_98305,A)
| ~ genls(A,c_tptpcol_6_116738) ),
inference(resolve,[status(thm)],[c_427,c_1041]) ).
cnf(c_2039,plain,
disjointwith(c_tptpcol_3_98305,c_tptpcol_10_118020),
inference(resolve,[status(thm)],[c_2208,c_1035]) ).
cnf(c_2209,plain,
( disjointwith(A,c_tptpcol_14_118118)
| ~ disjointwith(A,c_tptpcol_10_118020) ),
inference(resolve,[status(thm)],[c_427,c_964]) ).
cnf(c_2210,plain,
~ disjointwith(c_tptpcol_3_98305,c_tptpcol_10_118020),
inference(resolve,[status(thm)],[c_2209,c_1189]) ).
cnf(c_2193,plain,
$false,
inference(resolve,[status(thm)],[c_2039,c_2210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR061+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n002.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 00:30:06 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 2998537 was started by sandbox on n002,
% 0.09/0.38 % Sun Sep 27 00:30:06 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.40
% 0.09/0.40 % From the command line: assign(max_seconds, 300).
% 1.23/0.72
% 1.23/0.72 % SZS status Theorem for theBenchmark
% 1.23/0.72
% 1.23/0.72 % Proof 1 at 0.10 (+ 0.04) seconds.
% 1.23/0.72 % Length of proof is 41.
% 1.23/0.72 % Level of proof is 6.
% 1.23/0.72 % Maximum clause weight is 14.000.
% 1.23/0.72 % Given clauses 333.
% 1.23/0.72
% 1.23/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------