%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR066+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 07:07:04 AM UTC 2026
% Result : Theorem 4.82s 1.38s
% Output : CNFRefutation 4.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 18 ~; 11 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 22 ( 0 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax3_1502,axiom,
! [TERM] :
( shavingrazor_manual(TERM)
=> tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ),
file('theBenchmark.p',ax3_1502) ).
fof(ax3_43030,axiom,
! [X] :
( shavingrazor_manual(X)
=> isa(X,c_shavingrazor_manual) ),
file('theBenchmark.p',ax3_43030) ).
fof(ax3_43031,axiom,
! [X] :
( isa(X,c_tptpcol_16_25972)
=> tptpcol_16_25972(X) ),
file('theBenchmark.p',ax3_43031) ).
fof(ax3_15034,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationexistsall(PRED,DEPCOL,INDEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
file('theBenchmark.p',ax3_15034) ).
fof(query216,conjecture,
? [X] :
( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
=> ( tptpcol_16_25972(X)
& tptp_8_271(X,c_theprototypicalshavingrazor_manual) ) ),
file('theBenchmark.p',query216) ).
fof(query216_neg,negated_conjecture,
~ ? [X] :
( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
=> ( tptpcol_16_25972(X)
& tptp_8_271(X,c_theprototypicalshavingrazor_manual) ) ),
inference(assume_negation,[status(cth)],[query216]) ).
cnf(c_318,plain,
( isa(f_relationexistsallfn(A,C,D,B),D)
| ~ relationexistsall(C,D,B)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[ax3_15034]) ).
cnf(c_702,plain,
( tptp_8_271(f_relationexistsallfn(A,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),A)
| ~ shavingrazor_manual(A) ),
inference(clausify,[status(thm)],[ax3_1502]) ).
fof(ax3_1503,axiom,
relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
file('theBenchmark.p',ax3_1503) ).
cnf(c_703,plain,
relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
inference(clausify,[status(thm)],[ax3_1503]) ).
fof(ax3_3201,axiom,
shavingrazor_manual(c_theprototypicalshavingrazor_manual),
file('theBenchmark.p',ax3_3201) ).
cnf(c_788,plain,
shavingrazor_manual(c_theprototypicalshavingrazor_manual),
inference(clausify,[status(thm)],[ax3_3201]) ).
cnf(c_2024,plain,
( isa(A,c_shavingrazor_manual)
| ~ shavingrazor_manual(A) ),
inference(clausify,[status(thm)],[ax3_43030]) ).
cnf(c_2025,plain,
( tptpcol_16_25972(A)
| ~ isa(A,c_tptpcol_16_25972) ),
inference(clausify,[status(thm)],[ax3_43031]) ).
cnf(c_2032,negated_conjecture,
( ~ tptpcol_16_25972(A)
| ~ tptp_8_271(A,c_theprototypicalshavingrazor_manual) ),
inference(clausify,[status(thm)],[query216_neg]) ).
cnf(c_2041,plain,
( ~ tptp_8_271(A,c_theprototypicalshavingrazor_manual)
| ~ isa(A,c_tptpcol_16_25972) ),
inference(resolve,[status(thm)],[c_2025,c_2032]) ).
cnf(c_2042,plain,
( ~ relationexistsall(B,c_tptpcol_16_25972,C)
| ~ isa(A,C)
| ~ tptp_8_271(f_relationexistsallfn(A,B,c_tptpcol_16_25972,C),c_theprototypicalshavingrazor_manual) ),
inference(resolve,[status(thm)],[c_2041,c_318]) ).
cnf(c_2103,plain,
isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual),
inference(resolve,[status(thm)],[c_2024,c_788]) ).
cnf(c_2106,plain,
( ~ relationexistsall(A,c_tptpcol_16_25972,c_shavingrazor_manual)
| ~ tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,A,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) ),
inference(resolve,[status(thm)],[c_2103,c_2042]) ).
cnf(c_2111,plain,
( ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)
| ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual) ),
inference(resolve,[status(thm)],[c_702,c_2106]) ).
cnf(c_2112,plain,
~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
inference(resolve,[status(thm)],[c_788,c_2111]) ).
cnf(c_2110,plain,
$false,
inference(resolve,[status(thm)],[c_703,c_2112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR066+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n020.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 00:33:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 2879983 was started by sandbox2 on n020,
% 0.10/0.37 % Sun Sep 27 00:33:48 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 4.82/1.38
% 4.82/1.38 % SInE (scan): 1855 to sos (tol 1.5x), 138 to usable (tol 2.0x), 42223 zapped, of 44216 axioms (depth 3).
% 4.82/1.38
% 4.82/1.38 % From the command line: assign(max_seconds, 300).
% 4.82/1.38
% 4.82/1.38 % SZS status Theorem for theBenchmark
% 4.82/1.38
% 4.82/1.38 % Proof 1 at 0.30 (+ 0.17) seconds.
% 4.82/1.38 % Length of proof is 17.
% 4.82/1.38 % Level of proof is 5.
% 4.82/1.38 % Maximum clause weight is 113.000.
% 4.82/1.38 % Given clauses 232.
% 4.82/1.38
% 4.82/1.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------