%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR066+2 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:01:42 AM UTC 2025
% Result : Theorem 0.40s 0.62s
% Output : Proof 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 39
% Syntax : Number of formulae : 90 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 401 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 550 ( 265 ~; 198 |; 30 &)
% ( 43 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 26 ( 26 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 171 ( 141 !; 9 ?; 171 :)
% Comments :
%------------------------------------------------------------------------------
tff(tptpcol_16_25972_type,type,
tptpcol_16_25972: $i > $o ).
tff(f_relationexistsallfn_type,type,
f_relationexistsallfn: ( $i * $i * $i * $i ) > $i ).
tff(c_shavingrazor_manual_type,type,
c_shavingrazor_manual: $i ).
tff(c_tptpcol_16_25972_type,type,
c_tptpcol_16_25972: $i ).
tff(c_tptp_8_271_type,type,
c_tptp_8_271: $i ).
tff(c_theprototypicalshavingrazor_manual_type,type,
c_theprototypicalshavingrazor_manual: $i ).
tff(tptp_8_271_type,type,
tptp_8_271: ( $i * $i ) > $o ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(f_contentmtofcdafromeventfn_type,type,
f_contentmtofcdafromeventfn: ( $i * $i ) > $i ).
tff(c_translation_21_type,type,
c_translation_21: $i ).
tff(f_urlreferentfn_type,type,
f_urlreferentfn: $i > $i ).
tff(f_urlfn_type,type,
f_urlfn: $i > $i ).
tff(s_http_webnjiteducjohnsontreebiochhtm_type,type,
s_http_webnjiteducjohnsontreebiochhtm: $i ).
tff(shavingrazor_manual_type,type,
shavingrazor_manual: $i > $o ).
tff(isa_type,type,
isa: ( $i * $i ) > $o ).
tff(relationexistsall_type,type,
relationexistsall: ( $i * $i * $i ) > $o ).
tff(1,plain,
^ [X: $i] :
refl(( ~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ~ ( ~ tptpcol_16_25972(X)
| ~ tptp_8_271(X,c_theprototypicalshavingrazor_manual) ) )
<=> ~ ( ~ 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(bind,[status(th)],[]) ).
tff(2,plain,
( ! [X: $i] :
~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ~ ( ~ tptpcol_16_25972(X)
| ~ tptp_8_271(X,c_theprototypicalshavingrazor_manual) ) )
<=> ! [X: $i] :
~ ( ~ 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(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [X: $i] :
rewrite(( ~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(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(bind,[status(th)],[]) ).
tff(4,plain,
( ! [X: $i] :
~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(X) ) )
<=> ! [X: $i] :
~ ( ~ 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(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
( ~ ? [X: $i] :
( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(X) ) )
<=> ~ ? [X: $i] :
( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(X) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,plain,
( ~ ? [X: $i] :
( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
=> ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(X) ) )
<=> ~ ? [X: $i] :
( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(X) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,axiom,
~ ? [X: $i] :
( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
=> ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query116) ).
tff(8,plain,
~ ? [X: $i] :
( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(X) ) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
~ ? [X: $i] :
( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(X) ) ),
inference(modus_ponens,[status(thm)],[8,5]) ).
tff(10,plain,
~ ? [X: $i] :
( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(X) ) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
~ ? [X: $i] :
( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(X) ) ),
inference(modus_ponens,[status(thm)],[10,5]) ).
tff(12,plain,
^ [X: $i] :
refl($oeq(~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(X) ) ),
~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(X) ) ))),
inference(bind,[status(th)],[]) ).
tff(13,plain,
! [X: $i] :
~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ( tptp_8_271(X,c_theprototypicalshavingrazor_manual)
& tptpcol_16_25972(X) ) ),
inference(nnf-neg,[status(sab)],[11,12]) ).
tff(14,plain,
! [X: $i] :
~ ( ~ 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(modus_ponens,[status(thm)],[13,4]) ).
tff(15,plain,
! [X: $i] :
~ ( ~ 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(modus_ponens,[status(thm)],[14,2]) ).
tff(16,plain,
( ~ ! [X: $i] :
~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ~ ( ~ tptpcol_16_25972(X)
| ~ tptp_8_271(X,c_theprototypicalshavingrazor_manual) ) )
| ~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ~ ( ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual))
| ~ tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(17,plain,
~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ~ ( ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual))
| ~ tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) ) ),
inference(unit_resolution,[status(thm)],[16,15]) ).
tff(18,plain,
( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
| ~ ( ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual))
| ~ tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) )
| ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual))
| ~ tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) ),
inference(tautology,[status(thm)],[]) ).
tff(19,plain,
( ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual))
| ~ tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) ),
inference(unit_resolution,[status(thm)],[18,17]) ).
tff(20,plain,
^ [TERM: $i] :
refl(( ( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) )
<=> ( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ) )),
inference(bind,[status(th)],[]) ).
tff(21,plain,
( ! [TERM: $i] :
( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) )
<=> ! [TERM: $i] :
( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ) ),
inference(quant_intro,[status(thm)],[20]) ).
tff(22,plain,
( ! [TERM: $i] :
( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) )
<=> ! [TERM: $i] :
( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,plain,
^ [TERM: $i] :
rewrite(( ( shavingrazor_manual(TERM)
=> tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) )
<=> ( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ) )),
inference(bind,[status(th)],[]) ).
tff(24,plain,
( ! [TERM: $i] :
( shavingrazor_manual(TERM)
=> tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) )
<=> ! [TERM: $i] :
( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ) ),
inference(quant_intro,[status(thm)],[23]) ).
tff(25,axiom,
! [TERM: $i] :
( shavingrazor_manual(TERM)
=> tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_391) ).
tff(26,plain,
! [TERM: $i] :
( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
! [TERM: $i] :
( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ),
inference(modus_ponens,[status(thm)],[26,22]) ).
tff(28,plain,
! [TERM: $i] :
( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ),
inference(skolemize,[status(sab)],[27]) ).
tff(29,plain,
! [TERM: $i] :
( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ),
inference(modus_ponens,[status(thm)],[28,21]) ).
tff(30,plain,
( shavingrazor_manual(c_theprototypicalshavingrazor_manual)
<=> shavingrazor_manual(c_theprototypicalshavingrazor_manual) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,axiom,
shavingrazor_manual(c_theprototypicalshavingrazor_manual),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_97) ).
tff(32,plain,
shavingrazor_manual(c_theprototypicalshavingrazor_manual),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
( ( ~ ! [TERM: $i] :
( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) )
| ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual)
| tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) )
<=> ( ~ ! [TERM: $i] :
( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) )
| ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual)
| tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,plain,
( ~ ! [TERM: $i] :
( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) )
| ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual)
| tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) ),
inference(quant_inst,[status(thm)],[]) ).
tff(35,plain,
( ~ ! [TERM: $i] :
( ~ shavingrazor_manual(TERM)
| tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) )
| ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual)
| tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) ),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual),
inference(unit_resolution,[status(thm)],[35,32,29]) ).
tff(37,plain,
( ~ ( ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual))
| ~ tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) )
| ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual))
| ~ tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) ),
inference(tautology,[status(thm)],[]) ).
tff(38,plain,
( ~ ( ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual))
| ~ tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) )
| ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)) ),
inference(unit_resolution,[status(thm)],[37,36]) ).
tff(39,plain,
~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)),
inference(unit_resolution,[status(thm)],[38,19]) ).
tff(40,plain,
^ [X: $i] :
refl(( ( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) )
<=> ( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) ) )),
inference(bind,[status(th)],[]) ).
tff(41,plain,
( ! [X: $i] :
( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) )
<=> ! [X: $i] :
( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) ) ),
inference(quant_intro,[status(thm)],[40]) ).
tff(42,plain,
( ! [X: $i] :
( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) )
<=> ! [X: $i] :
( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(43,plain,
^ [X: $i] :
rewrite(( ( shavingrazor_manual(X)
=> isa(X,c_shavingrazor_manual) )
<=> ( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) ) )),
inference(bind,[status(th)],[]) ).
tff(44,plain,
( ! [X: $i] :
( shavingrazor_manual(X)
=> isa(X,c_shavingrazor_manual) )
<=> ! [X: $i] :
( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) ) ),
inference(quant_intro,[status(thm)],[43]) ).
tff(45,axiom,
! [X: $i] :
( shavingrazor_manual(X)
=> isa(X,c_shavingrazor_manual) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_913) ).
tff(46,plain,
! [X: $i] :
( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) ),
inference(modus_ponens,[status(thm)],[45,44]) ).
tff(47,plain,
! [X: $i] :
( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) ),
inference(modus_ponens,[status(thm)],[46,42]) ).
tff(48,plain,
! [X: $i] :
( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) ),
inference(skolemize,[status(sab)],[47]) ).
tff(49,plain,
! [X: $i] :
( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) ),
inference(modus_ponens,[status(thm)],[48,41]) ).
tff(50,plain,
( ( ~ ! [X: $i] :
( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) )
| ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual)
| isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual) )
<=> ( ~ ! [X: $i] :
( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) )
| ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual)
| isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(51,plain,
( ~ ! [X: $i] :
( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) )
| ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual)
| isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual) ),
inference(quant_inst,[status(thm)],[]) ).
tff(52,plain,
( ~ ! [X: $i] :
( ~ shavingrazor_manual(X)
| isa(X,c_shavingrazor_manual) )
| ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual)
| isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual) ),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual),
inference(unit_resolution,[status(thm)],[52,32,49]) ).
tff(54,plain,
( relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)
<=> relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual) ),
inference(rewrite,[status(thm)],[]) ).
tff(55,axiom,
relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_392) ).
tff(56,plain,
relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
inference(modus_ponens,[status(thm)],[55,54]) ).
tff(57,plain,
^ [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
refl(( ( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
<=> ( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
inference(bind,[status(th)],[]) ).
tff(58,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) ),
inference(quant_intro,[status(thm)],[57]) ).
tff(59,plain,
^ [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
<=> ~ ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
<=> ~ ~ ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
rewrite(( ~ ~ ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
<=> ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
<=> ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
( ( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ) )),
rewrite(( ( ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
( ( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) )),
inference(bind,[status(th)],[]) ).
tff(60,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ) ),
inference(quant_intro,[status(thm)],[59]) ).
tff(61,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(62,plain,
^ [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
rewrite(( ( ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ) )),
inference(bind,[status(th)],[]) ).
tff(63,plain,
( ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) )
<=> ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ) ),
inference(quant_intro,[status(thm)],[62]) ).
tff(64,axiom,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
=> isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_64) ).
tff(65,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
inference(modus_ponens,[status(thm)],[65,61]) ).
tff(67,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( ~ ( isa(TERM,INDEPCOL)
& relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
inference(skolemize,[status(sab)],[66]) ).
tff(68,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ),
inference(modus_ponens,[status(thm)],[67,60]) ).
tff(69,plain,
! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) ),
inference(modus_ponens,[status(thm)],[68,58]) ).
tff(70,plain,
( ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)
| ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual)
| isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) )
<=> ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)
| ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual)
| isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(71,plain,
( ( isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972)
| ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual)
| ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual) )
<=> ( ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)
| ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual)
| isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(72,plain,
( ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972)
| ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual)
| ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual) )
<=> ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)
| ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual)
| isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) ) ),
inference(monotonicity,[status(thm)],[71]) ).
tff(73,plain,
( ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972)
| ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual)
| ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual) )
<=> ( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)
| ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual)
| isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) ) ),
inference(transitivity,[status(thm)],[72,70]) ).
tff(74,plain,
( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972)
| ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual)
| ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual) ),
inference(quant_inst,[status(thm)],[]) ).
tff(75,plain,
( ~ ! [TERM: $i,INDEPCOL: $i,PRED: $i,DEPCOL: $i] :
( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
| ~ isa(TERM,INDEPCOL)
| ~ relationexistsall(PRED,DEPCOL,INDEPCOL) )
| ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)
| ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual)
| isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) ),
inference(modus_ponens,[status(thm)],[74,73]) ).
tff(76,plain,
isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972),
inference(unit_resolution,[status(thm)],[75,69,56,53]) ).
tff(77,plain,
^ [X: $i] :
refl(( ( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) )
<=> ( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) ) )),
inference(bind,[status(th)],[]) ).
tff(78,plain,
( ! [X: $i] :
( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) )
<=> ! [X: $i] :
( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) ) ),
inference(quant_intro,[status(thm)],[77]) ).
tff(79,plain,
( ! [X: $i] :
( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) )
<=> ! [X: $i] :
( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(80,plain,
^ [X: $i] :
rewrite(( ( isa(X,c_tptpcol_16_25972)
=> tptpcol_16_25972(X) )
<=> ( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) ) )),
inference(bind,[status(th)],[]) ).
tff(81,plain,
( ! [X: $i] :
( isa(X,c_tptpcol_16_25972)
=> tptpcol_16_25972(X) )
<=> ! [X: $i] :
( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) ) ),
inference(quant_intro,[status(thm)],[80]) ).
tff(82,axiom,
! [X: $i] :
( isa(X,c_tptpcol_16_25972)
=> tptpcol_16_25972(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_563) ).
tff(83,plain,
! [X: $i] :
( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) ),
inference(modus_ponens,[status(thm)],[82,81]) ).
tff(84,plain,
! [X: $i] :
( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) ),
inference(modus_ponens,[status(thm)],[83,79]) ).
tff(85,plain,
! [X: $i] :
( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) ),
inference(skolemize,[status(sab)],[84]) ).
tff(86,plain,
! [X: $i] :
( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) ),
inference(modus_ponens,[status(thm)],[85,78]) ).
tff(87,plain,
( ( ~ ! [X: $i] :
( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) )
| tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual))
| ~ isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) )
<=> ( ~ ! [X: $i] :
( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) )
| tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual))
| ~ isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(88,plain,
( ~ ! [X: $i] :
( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) )
| tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual))
| ~ isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) ),
inference(quant_inst,[status(thm)],[]) ).
tff(89,plain,
( ~ ! [X: $i] :
( tptpcol_16_25972(X)
| ~ isa(X,c_tptpcol_16_25972) )
| tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual))
| ~ isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) ),
inference(modus_ponens,[status(thm)],[88,87]) ).
tff(90,plain,
$false,
inference(unit_resolution,[status(thm)],[89,86,76,39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CSR066+2 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Jun 19 12:48:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.40/0.62 % SZS status Theorem
% 0.40/0.62 % SZS output start Proof
% See solution above
% 0.47/0.66 % E exiting
%------------------------------------------------------------------------------