%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR041-10 : TPTP v9.0.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.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 05:01:26 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 60 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 79 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 9 ~; 5 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 4 ( 4 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 83 ( 75 !; 0 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
tff(b_type,type,
b: $i ).
tff(a_type,type,
a: $i ).
tff(ifeq2_type,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(true_type,type,
true: $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(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)),true,a,b) = b ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,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/sandbox2/benchmark/theBenchmark.p',query41_1) ).
tff(3,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)],[2,1]) ).
tff(4,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(5,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)],[4]) ).
tff(6,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(7,axiom,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
tff(8,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
| ( ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true) = aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(12,plain,
ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true) = aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
inference(unit_resolution,[status(thm)],[11,10]) ).
tff(13,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
| ( ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true) = aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(14,plain,
ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true) = aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
inference(unit_resolution,[status(thm)],[13,10]) ).
tff(15,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(16,axiom,
microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
tff(17,plain,
microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) = true,
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
true = microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
inference(symmetry,[status(thm)],[17]) ).
tff(19,plain,
ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true) = ifeq3(microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true),
inference(monotonicity,[status(thm)],[18]) ).
tff(20,plain,
ifeq3(microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true) = ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true),
inference(symmetry,[status(thm)],[19]) ).
tff(21,plain,
^ [OBJ: $i] :
refl(( ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true )
<=> ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true ) )),
inference(bind,[status(th)],[]) ).
tff(22,plain,
( ! [OBJ: $i] : ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true )
<=> ! [OBJ: $i] : ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,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(24,axiom,
! [OBJ: $i] : ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).
tff(25,plain,
! [OBJ: $i] : ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
! [OBJ: $i] : ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true ),
inference(skolemize,[status(sab)],[25]) ).
tff(27,plain,
! [OBJ: $i] : ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true ),
inference(modus_ponens,[status(thm)],[26,22]) ).
tff(28,plain,
( ~ ! [OBJ: $i] : ( ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true )
| ( ifeq3(microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true) = true ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(29,plain,
ifeq3(microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true) = true,
inference(unit_resolution,[status(thm)],[28,27]) ).
tff(30,plain,
true = ifeq3(microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true),
inference(symmetry,[status(thm)],[29]) ).
tff(31,plain,
true = aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
inference(transitivity,[status(thm)],[30,20,14]) ).
tff(32,plain,
ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true) = ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true),
inference(monotonicity,[status(thm)],[31]) ).
tff(33,plain,
ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true) = ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true),
inference(symmetry,[status(thm)],[32]) ).
tff(34,plain,
^ [OBJ: $i] :
refl(( ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true )
<=> ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true ) )),
inference(bind,[status(th)],[]) ).
tff(35,plain,
( ! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true )
<=> ! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true ) ),
inference(quant_intro,[status(thm)],[34]) ).
tff(36,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(37,axiom,
! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
tff(38,plain,
! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true ),
inference(skolemize,[status(sab)],[38]) ).
tff(40,plain,
! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true ),
inference(modus_ponens,[status(thm)],[39,35]) ).
tff(41,plain,
( ~ ! [OBJ: $i] : ( ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true )
| ( ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true) = true ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(42,plain,
ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true) = true,
inference(unit_resolution,[status(thm)],[41,40]) ).
tff(43,plain,
true = ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true),
inference(symmetry,[status(thm)],[42]) ).
tff(44,plain,
true = aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),
inference(transitivity,[status(thm)],[43,33,12]) ).
tff(45,plain,
ifeq2(true,true,a,b) = ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b),
inference(monotonicity,[status(thm)],[44]) ).
tff(46,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(47,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)],[46]) ).
tff(48,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(49,axiom,
! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
tff(50,plain,
! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[49,48]) ).
tff(51,plain,
! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ),
inference(skolemize,[status(sab)],[50]) ).
tff(52,plain,
! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[51,47]) ).
tff(53,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq2(A,A,B,C) = B )
| ( ifeq2(true,true,a,b) = a ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(54,plain,
ifeq2(true,true,a,b) = a,
inference(unit_resolution,[status(thm)],[53,52]) ).
tff(55,plain,
a = ifeq2(true,true,a,b),
inference(symmetry,[status(thm)],[54]) ).
tff(56,plain,
a = b,
inference(transitivity,[status(thm)],[55,45,3]) ).
tff(57,plain,
( ( a != b )
<=> ( a != b ) ),
inference(rewrite,[status(thm)],[]) ).
tff(58,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tff(59,plain,
a != b,
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,plain,
$false,
inference(unit_resolution,[status(thm)],[59,56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR041-10 : TPTP v9.0.0. Released v7.5.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n010.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 : Thu Jun 19 12:37:11 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.39 % SZS status Unsatisfiable
% 0.19/0.39 % SZS output start Proof
% See solution above
% 0.19/0.40 % E exiting
%------------------------------------------------------------------------------