%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR066+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 07:07:03 AM UTC 2026
% Result : Theorem 2.16s 0.89s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 14 ~; 9 |; 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 : 20 ( 0 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_64,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationexistsall(PRED,DEPCOL,INDEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
file('theBenchmark.p',ax1_64) ).
fof(ax1_391,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',ax1_391) ).
fof(ax1_563,axiom,
! [X] :
( isa(X,c_tptpcol_16_25972)
=> tptpcol_16_25972(X) ),
file('theBenchmark.p',ax1_563) ).
fof(ax1_913,axiom,
! [X] :
( shavingrazor_manual(X)
=> isa(X,c_shavingrazor_manual) ),
file('theBenchmark.p',ax1_913) ).
fof(query116,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',query116) ).
fof(query116_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)],[query116]) ).
cnf(c_1295,plain,
( isa(f_relationexistsallfn(A,C,D,B),D)
| ~ relationexistsall(C,D,B)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[ax1_64]) ).
fof(ax1_97,axiom,
shavingrazor_manual(c_theprototypicalshavingrazor_manual),
file('theBenchmark.p',ax1_97) ).
cnf(c_1312,plain,
shavingrazor_manual(c_theprototypicalshavingrazor_manual),
inference(clausify,[status(thm)],[ax1_97]) ).
cnf(c_1491,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)],[ax1_391]) ).
fof(ax1_392,axiom,
relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
file('theBenchmark.p',ax1_392) ).
cnf(c_1492,plain,
relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
inference(clausify,[status(thm)],[ax1_392]) ).
cnf(c_1590,plain,
( tptpcol_16_25972(A)
| ~ isa(A,c_tptpcol_16_25972) ),
inference(clausify,[status(thm)],[ax1_563]) ).
cnf(c_1811,plain,
( isa(A,c_shavingrazor_manual)
| ~ shavingrazor_manual(A) ),
inference(clausify,[status(thm)],[ax1_913]) ).
cnf(c_1963,negated_conjecture,
( ~ tptpcol_16_25972(A)
| ~ tptp_8_271(A,c_theprototypicalshavingrazor_manual) ),
inference(clausify,[status(thm)],[query116_neg]) ).
cnf(c_2134,plain,
( ~ tptp_8_271(A,c_theprototypicalshavingrazor_manual)
| ~ isa(A,c_tptpcol_16_25972) ),
inference(resolve,[status(thm)],[c_1590,c_1963]) ).
cnf(c_2327,plain,
( ~ isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972)
| ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual) ),
inference(resolve,[status(thm)],[c_1491,c_2134]) ).
cnf(c_2156,plain,
~ isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972),
inference(resolve,[status(thm)],[c_1312,c_2327]) ).
cnf(c_2204,plain,
isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual),
inference(resolve,[status(thm)],[c_1811,c_1312]) ).
cnf(c_2328,plain,
( isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,A,B,c_shavingrazor_manual),B)
| ~ relationexistsall(A,B,c_shavingrazor_manual) ),
inference(resolve,[status(thm)],[c_1295,c_2204]) ).
cnf(c_2329,plain,
isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972),
inference(resolve,[status(thm)],[c_2328,c_1492]) ).
cnf(c_2326,plain,
$false,
inference(resolve,[status(thm)],[c_2156,c_2329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR066+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 00:35:07 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 1765565 was started by sandbox on n018,
% 0.10/0.37 % Sun Sep 27 00:35:07 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.24/0.52
% 0.24/0.52 % From the command line: assign(max_seconds, 300).
% 0.24/0.52
% 0.24/0.52 % SInE: 733 to sos, 398 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 2.16/0.89
% 2.16/0.89 % SZS status Theorem for theBenchmark
% 2.16/0.89
% 2.16/0.89 % Proof 1 at 0.26 (+ 0.04) seconds.
% 2.16/0.89 % Length of proof is 16.
% 2.16/0.89 % Level of proof is 4.
% 2.16/0.89 % Maximum clause weight is 124.000.
% 2.16/0.89 % Given clauses 171.
% 2.16/0.89
% 2.16/0.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------