%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR066+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 : n014.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 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 12 ~; 7 |; 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 : 18 ( 0 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just4,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( relationexistsall(PRED,DEPCOL,INDEPCOL)
& isa(TERM,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
file('theBenchmark.p',just4) ).
fof(just9,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',just9) ).
fof(just31,axiom,
! [X] :
( shavingrazor_manual(X)
=> isa(X,c_shavingrazor_manual) ),
file('theBenchmark.p',just31) ).
fof(just32,axiom,
! [X] :
( isa(X,c_tptpcol_16_25972)
=> tptpcol_16_25972(X) ),
file('theBenchmark.p',just32) ).
fof(query66,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',query66) ).
fof(query66_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)],[query66]) ).
fof(just10,axiom,
relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
file('theBenchmark.p',just10) ).
cnf(c_64,plain,
relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
inference(clausify,[status(thm)],[just10]) ).
cnf(c_65,plain,
( isa(f_relationexistsallfn(A,C,D,B),D)
| ~ relationexistsall(C,D,B)
| ~ isa(A,B) ),
inference(clausify,[status(thm)],[just4]) ).
cnf(c_76,plain,
( isa(A,c_shavingrazor_manual)
| ~ shavingrazor_manual(A) ),
inference(clausify,[status(thm)],[just31]) ).
fof(just11,axiom,
shavingrazor_manual(c_theprototypicalshavingrazor_manual),
file('theBenchmark.p',just11) ).
cnf(c_77,plain,
shavingrazor_manual(c_theprototypicalshavingrazor_manual),
inference(clausify,[status(thm)],[just11]) ).
cnf(c_78,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)],[just9]) ).
cnf(c_80,plain,
tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual),
inference(resolve,[status(thm)],[c_78,c_77]) ).
cnf(c_83,negated_conjecture,
( ~ tptpcol_16_25972(A)
| ~ tptp_8_271(A,c_theprototypicalshavingrazor_manual) ),
inference(clausify,[status(thm)],[query66_neg]) ).
cnf(c_90,plain,
( tptpcol_16_25972(A)
| ~ isa(A,c_tptpcol_16_25972) ),
inference(clausify,[status(thm)],[just32]) ).
cnf(c_92,negated_conjecture,
~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)),
inference(resolve,[status(thm)],[c_83,c_80]) ).
cnf(c_103,negated_conjecture,
~ 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_90,c_92]) ).
cnf(c_106,plain,
isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual),
inference(resolve,[status(thm)],[c_77,c_76]) ).
cnf(c_123,plain,
( isa(f_relationexistsallfn(A,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972)
| ~ isa(A,c_shavingrazor_manual) ),
inference(resolve,[status(thm)],[c_64,c_65]) ).
cnf(c_141,negated_conjecture,
~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual),
inference(resolve,[status(thm)],[c_123,c_103]) ).
cnf(c_140,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_106,c_141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR066+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 00:32:16 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.38 % Process 230029 was started by sandbox on n014,
% 0.12/0.38 % Sun Sep 27 00:32:16 2026
% 0.12/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.40
% 0.12/0.40 % From the command line: assign(max_seconds, 300).
% 0.12/0.41
% 0.12/0.41 % SZS status Theorem for theBenchmark
% 0.12/0.41
% 0.12/0.41 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.12/0.41 % Length of proof is 18.
% 0.12/0.41 % Level of proof is 5.
% 0.12/0.41 % Maximum clause weight is 10.000.
% 0.12/0.41 % Given clauses 24.
% 0.12/0.41
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------