TSTP Solution File: CSR041-10 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR041-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 : Tue Sep 20 14:27:26 EDT 2022
% Result : Unsatisfiable 0.12s 0.40s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 43
% Syntax : Number of formulae : 86 ( 50 unt; 16 typ; 0 def)
% Number of atoms : 102 ( 95 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 9 ~; 5 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 6 ( 6 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 17 ( 9 >; 8 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-4 aty)
% Number of variables : 91 ( 81 !; 0 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
tff(b_type,type,
b: $i ).
tff(a_type,type,
a: $i ).
tff(ifeq2_type,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(genls_type,type,
genls: ( $i * $i ) > $i ).
tff(c_aspatialthing_type,type,
c_aspatialthing: $i ).
tff(c_aspatialinformationstore_type,type,
c_aspatialinformationstore: $i ).
tff(aspatialthing_type,type,
aspatialthing: $i > $i ).
tff(f_contentmtofcdafromeventfn_type,type,
f_contentmtofcdafromeventfn: ( $i * $i ) > $i ).
tff(c_translation_3_type,type,
c_translation_3: $i ).
tff(f_urlreferentfn_type,type,
f_urlreferentfn: $i > $i ).
tff(f_urlfn_type,type,
f_urlfn: $i > $i ).
tff(s_http_wwwinformationblastcomtechnical_university_of_munichhtml_type,type,
s_http_wwwinformationblastcomtechnical_university_of_munichhtml: $i ).
tff(true_type,type,
true: $i ).
tff(ifeq3_type,type,
ifeq3: ( $i * $i * $i * $i ) > $i ).
tff(aspatialinformationstore_type,type,
aspatialinformationstore: $i > $i ).
tff(microtheory_type,type,
microtheory: $i > $i ).
tff(1,plain,
( ( ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) = b )
<=> ( ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing),a,b) = b ) ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ( ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) = b )
<=> ( ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) = b ) ),
inference(rewrite,[status(thm)],]) ).
tff(3,axiom,
ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query41_1) ).
tff(4,plain,
ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) = b,
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing),a,b) = b,
inference(modus_ponens,[status(thm)],[4,1]) ).
tff(6,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( ifeq3(A,A,B,C) = B )
<=> ( ifeq3(A,A,B,C) = B ) )),
inference(bind,[status(th)],]) ).
tff(7,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ) ),
inference(quant_intro,[status(thm)],[6]) ).
tff(8,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ) ),
inference(rewrite,[status(thm)],]) ).
tff(9,axiom,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
tff(10,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(skolemize,[status(sab)],[10]) ).
tff(12,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[11,7]) ).
tff(13,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
| ( ifeq3(genls(c_aspatialinformationstore,c_aspatialthing),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)) = aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(14,plain,
ifeq3(genls(c_aspatialinformationstore,c_aspatialthing),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)) = aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
inference(unit_resolution,[status(thm)],[13,12]) ).
tff(15,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
| ( ifeq3(genls(c_aspatialinformationstore,c_aspatialthing),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)) = aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(16,plain,
ifeq3(genls(c_aspatialinformationstore,c_aspatialthing),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)) = aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
inference(unit_resolution,[status(thm)],[15,12]) ).
tff(17,plain,
( ( microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) = true )
<=> ( microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) = genls(c_aspatialinformationstore,c_aspatialthing) ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,plain,
( ( microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) = true )
<=> ( microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) = true ) ),
inference(rewrite,[status(thm)],]) ).
tff(19,axiom,
microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
tff(20,plain,
microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) = true,
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) = genls(c_aspatialinformationstore,c_aspatialthing),
inference(modus_ponens,[status(thm)],[20,17]) ).
tff(22,plain,
genls(c_aspatialinformationstore,c_aspatialthing) = microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
inference(symmetry,[status(thm)],[21]) ).
tff(23,plain,
ifeq3(genls(c_aspatialinformationstore,c_aspatialthing),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)) = ifeq3(microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)),
inference(monotonicity,[status(thm)],[22]) ).
tff(24,plain,
ifeq3(microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)) = ifeq3(genls(c_aspatialinformationstore,c_aspatialthing),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)),
inference(symmetry,[status(thm)],[23]) ).
tff(25,plain,
^ [OBJ: $i] :
refl(
( ( ifeq3(microtheory(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) )
<=> ( ifeq3(microtheory(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ) )),
inference(bind,[status(th)],]) ).
tff(26,plain,
( ! [OBJ: $i] : ( ifeq3(microtheory(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) )
<=> ! [OBJ: $i] : ( ifeq3(microtheory(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ) ),
inference(quant_intro,[status(thm)],[25]) ).
tff(27,plain,
^ [OBJ: $i] :
rewrite(
( ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true )
<=> ( ifeq3(microtheory(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ) )),
inference(bind,[status(th)],]) ).
tff(28,plain,
( ! [OBJ: $i] : ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true )
<=> ! [OBJ: $i] : ( ifeq3(microtheory(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,plain,
( ! [OBJ: $i] : ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true )
<=> ! [OBJ: $i] : ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true ) ),
inference(rewrite,[status(thm)],]) ).
tff(30,axiom,
! [OBJ: $i] : ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).
tff(31,plain,
! [OBJ: $i] : ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true ),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
! [OBJ: $i] : ( ifeq3(microtheory(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ),
inference(modus_ponens,[status(thm)],[31,28]) ).
tff(33,plain,
! [OBJ: $i] : ( ifeq3(microtheory(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ),
inference(skolemize,[status(sab)],[32]) ).
tff(34,plain,
! [OBJ: $i] : ( ifeq3(microtheory(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ),
inference(modus_ponens,[status(thm)],[33,26]) ).
tff(35,plain,
( ~ ! [OBJ: $i] : ( ifeq3(microtheory(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) )
| ( ifeq3(microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(36,plain,
ifeq3(microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing),
inference(unit_resolution,[status(thm)],[35,34]) ).
tff(37,plain,
genls(c_aspatialinformationstore,c_aspatialthing) = ifeq3(microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing),aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)),
inference(symmetry,[status(thm)],[36]) ).
tff(38,plain,
genls(c_aspatialinformationstore,c_aspatialthing) = aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
inference(transitivity,[status(thm)],[37,24,16]) ).
tff(39,plain,
ifeq3(genls(c_aspatialinformationstore,c_aspatialthing),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)) = ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)),
inference(monotonicity,[status(thm)],[38]) ).
tff(40,plain,
ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)) = ifeq3(genls(c_aspatialinformationstore,c_aspatialthing),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)),
inference(symmetry,[status(thm)],[39]) ).
tff(41,plain,
^ [OBJ: $i] :
refl(
( ( ifeq3(aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) )
<=> ( ifeq3(aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ) )),
inference(bind,[status(th)],]) ).
tff(42,plain,
( ! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) )
<=> ! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ) ),
inference(quant_intro,[status(thm)],[41]) ).
tff(43,plain,
^ [OBJ: $i] :
rewrite(
( ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true )
<=> ( ifeq3(aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ) )),
inference(bind,[status(th)],]) ).
tff(44,plain,
( ! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true )
<=> ! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ) ),
inference(quant_intro,[status(thm)],[43]) ).
tff(45,plain,
( ! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true )
<=> ! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true ) ),
inference(rewrite,[status(thm)],]) ).
tff(46,axiom,
! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).
tff(47,plain,
! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true ),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ),
inference(modus_ponens,[status(thm)],[47,44]) ).
tff(49,plain,
! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ),
inference(skolemize,[status(sab)],[48]) ).
tff(50,plain,
! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ),
inference(modus_ponens,[status(thm)],[49,42]) ).
tff(51,plain,
( ~ ! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(OBJ),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) )
| ( ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(52,plain,
ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)) = genls(c_aspatialinformationstore,c_aspatialthing),
inference(unit_resolution,[status(thm)],[51,50]) ).
tff(53,plain,
genls(c_aspatialinformationstore,c_aspatialthing) = ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing),aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing)),
inference(symmetry,[status(thm)],[52]) ).
tff(54,plain,
genls(c_aspatialinformationstore,c_aspatialthing) = aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
inference(transitivity,[status(thm)],[53,40,14]) ).
tff(55,plain,
ifeq2(genls(c_aspatialinformationstore,c_aspatialthing),genls(c_aspatialinformationstore,c_aspatialthing),a,b) = ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),genls(c_aspatialinformationstore,c_aspatialthing),a,b),
inference(monotonicity,[status(thm)],[54]) ).
tff(56,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( ifeq2(A,A,B,C) = B )
<=> ( ifeq2(A,A,B,C) = B ) )),
inference(bind,[status(th)],]) ).
tff(57,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ) ),
inference(quant_intro,[status(thm)],[56]) ).
tff(58,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ) ),
inference(rewrite,[status(thm)],]) ).
tff(59,axiom,
! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
tff(60,plain,
! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[59,58]) ).
tff(61,plain,
! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ),
inference(skolemize,[status(sab)],[60]) ).
tff(62,plain,
! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[61,57]) ).
tff(63,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B )
| ( ifeq2(genls(c_aspatialinformationstore,c_aspatialthing),genls(c_aspatialinformationstore,c_aspatialthing),a,b) = a ) ),
inference(quant_inst,[status(thm)],]) ).
tff(64,plain,
ifeq2(genls(c_aspatialinformationstore,c_aspatialthing),genls(c_aspatialinformationstore,c_aspatialthing),a,b) = a,
inference(unit_resolution,[status(thm)],[63,62]) ).
tff(65,plain,
a = ifeq2(genls(c_aspatialinformationstore,c_aspatialthing),genls(c_aspatialinformationstore,c_aspatialthing),a,b),
inference(symmetry,[status(thm)],[64]) ).
tff(66,plain,
a = b,
inference(transitivity,[status(thm)],[65,55,5]) ).
tff(67,plain,
( ( a != b )
<=> ( a != b ) ),
inference(rewrite,[status(thm)],]) ).
tff(68,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tff(69,plain,
a != b,
inference(modus_ponens,[status(thm)],[68,67]) ).
tff(70,plain,
$false,
inference(unit_resolution,[status(thm)],[69,66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : CSR041-10 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 18:02:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33 Usage: tptp [options] [-file:]file
% 0.12/0.33 -h, -? prints this message.
% 0.12/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.33 -m, -model generate model.
% 0.12/0.33 -p, -proof generate proof.
% 0.12/0.33 -c, -core generate unsat core of named formulas.
% 0.12/0.33 -st, -statistics display statistics.
% 0.12/0.33 -t:timeout set timeout (in second).
% 0.12/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33 -<param>:<value> configuration parameter and value.
% 0.12/0.33 -o:<output-file> file to place output in.
% 0.12/0.40 % SZS status Unsatisfiable
% 0.12/0.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------