TSTP Solution File: CSR070+1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR070+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 May 7 10:28:52 EDT 2024
% Result : Theorem 24.29s 5.06s
% Output : Refutation 24.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 56 ( 12 unt; 14 typ; 0 def)
% Number of atoms : 88 ( 6 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 243 ( 20 ~; 17 |; 2 &; 189 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 43 ( 0 ^ 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_type,type,
mtvisible: $i > $o ).
thf(c_tptp_spindlecollectormt_type,type,
c_tptp_spindlecollectormt: $i ).
thf(tptptypes_5_802_type,type,
tptptypes_5_802: $i > $i > $o ).
thf(f_subcollectionofwithrelationfromtypefn_type,type,
f_subcollectionofwithrelationfromtypefn: $i > $i > $i > $i ).
thf(c_orientationvector_type,type,
c_orientationvector: $i ).
thf(c_orientation_type,type,
c_orientation: $i ).
thf(c_partiallytangible_type,type,
c_partiallytangible: $i ).
thf(c_tptpcol_16_8886_type,type,
c_tptpcol_16_8886: $i ).
thf(tptptypes_8_823_type,type,
tptptypes_8_823: $i > $i > $o ).
thf(tptptypes_7_819_type,type,
tptptypes_7_819: $i > $i > $o ).
thf(genlmt_type,type,
genlmt: $i > $i > $o ).
thf(tptptypes_6_818_type,type,
tptptypes_6_818: $i > $i > $o ).
thf(tptptypes_9_824_type,type,
tptptypes_9_824: $i > $i > $o ).
thf(c_tptp_member2668_mt_type,type,
c_tptp_member2668_mt: $i ).
thf(64,axiom,
( ( mtvisible @ c_tptp_member2668_mt )
=> ( tptptypes_9_824 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).
thf(190,plain,
( ( mtvisible @ c_tptp_member2668_mt )
=> ( tptptypes_9_824 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(191,plain,
( ~ ( mtvisible @ c_tptp_member2668_mt )
| ( tptptypes_9_824 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 ) ),
inference(cnf,[status(esa)],[190]) ).
thf(48,axiom,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member2668_mt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).
thf(162,plain,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member2668_mt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(1,conjecture,
( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptptypes_5_802 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query70) ).
thf(2,negated_conjecture,
~ ( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptptypes_5_802 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(66,plain,
~ ( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptptypes_5_802 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(68,plain,
mtvisible @ c_tptp_spindlecollectormt,
inference(cnf,[status(esa)],[66]) ).
thf(55,axiom,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).
thf(173,plain,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(174,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ~ ( genlmt @ A @ B )
| ( mtvisible @ B ) ),
inference(cnf,[status(esa)],[173]) ).
thf(206,plain,
! [B: $i,A: $i] :
( ~ ( genlmt @ A @ B )
| ( mtvisible @ B )
| ( ( mtvisible @ c_tptp_spindlecollectormt )
!= ( mtvisible @ A ) ) ),
inference(paramod_ordered,[status(thm)],[68,174]) ).
thf(207,plain,
! [A: $i] :
( ~ ( genlmt @ c_tptp_spindlecollectormt @ A )
| ( mtvisible @ A ) ),
inference(pattern_uni,[status(thm)],[206:[bind(A,$thf( c_tptp_spindlecollectormt ))]]) ).
thf(218,plain,
! [A: $i] :
( ~ ( genlmt @ c_tptp_spindlecollectormt @ A )
| ( mtvisible @ A ) ),
inference(simp,[status(thm)],[207]) ).
thf(225,plain,
! [A: $i] :
( ( mtvisible @ A )
| ( ( genlmt @ c_tptp_spindlecollectormt @ c_tptp_member2668_mt )
!= ( genlmt @ c_tptp_spindlecollectormt @ A ) ) ),
inference(paramod_ordered,[status(thm)],[162,218]) ).
thf(226,plain,
mtvisible @ c_tptp_member2668_mt,
inference(pattern_uni,[status(thm)],[225:[bind(A,$thf( c_tptp_member2668_mt ))]]) ).
thf(665,plain,
( ~ $true
| ( tptptypes_9_824 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 ) ),
inference(rewrite,[status(thm)],[191,226]) ).
thf(666,plain,
tptptypes_9_824 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886,
inference(simp,[status(thm)],[665]) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( tptptypes_9_824 @ A @ B )
=> ( tptptypes_8_823 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
thf(104,plain,
! [A: $i,B: $i] :
( ( tptptypes_9_824 @ A @ B )
=> ( tptptypes_8_823 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(105,plain,
! [B: $i,A: $i] :
( ~ ( tptptypes_9_824 @ A @ B )
| ( tptptypes_8_823 @ A @ B ) ),
inference(cnf,[status(esa)],[104]) ).
thf(1031,plain,
! [B: $i,A: $i] :
( ( tptptypes_8_823 @ A @ B )
| ( ( tptptypes_9_824 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 )
!= ( tptptypes_9_824 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[666,105]) ).
thf(1032,plain,
tptptypes_8_823 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886,
inference(pattern_uni,[status(thm)],[1031:[bind(A,$thf( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible )),bind(B,$thf( c_tptpcol_16_8886 ))]]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( tptptypes_8_823 @ A @ B )
=> ( tptptypes_7_819 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
thf(69,plain,
! [A: $i,B: $i] :
( ( tptptypes_8_823 @ A @ B )
=> ( tptptypes_7_819 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(70,plain,
! [B: $i,A: $i] :
( ~ ( tptptypes_8_823 @ A @ B )
| ( tptptypes_7_819 @ A @ B ) ),
inference(cnf,[status(esa)],[69]) ).
thf(1033,plain,
! [B: $i,A: $i] :
( ( tptptypes_7_819 @ A @ B )
| ( ( tptptypes_8_823 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 )
!= ( tptptypes_8_823 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1032,70]) ).
thf(1034,plain,
tptptypes_7_819 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886,
inference(pattern_uni,[status(thm)],[1033:[bind(A,$thf( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible )),bind(B,$thf( c_tptpcol_16_8886 ))]]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( tptptypes_7_819 @ A @ B )
=> ( tptptypes_6_818 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
thf(98,plain,
! [A: $i,B: $i] :
( ( tptptypes_7_819 @ A @ B )
=> ( tptptypes_6_818 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(99,plain,
! [B: $i,A: $i] :
( ~ ( tptptypes_7_819 @ A @ B )
| ( tptptypes_6_818 @ A @ B ) ),
inference(cnf,[status(esa)],[98]) ).
thf(1035,plain,
! [B: $i,A: $i] :
( ( tptptypes_6_818 @ A @ B )
| ( ( tptptypes_7_819 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 )
!= ( tptptypes_7_819 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1034,99]) ).
thf(1036,plain,
tptptypes_6_818 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886,
inference(pattern_uni,[status(thm)],[1035:[bind(A,$thf( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible )),bind(B,$thf( c_tptpcol_16_8886 ))]]) ).
thf(46,axiom,
! [A: $i,B: $i] :
( ( tptptypes_6_818 @ A @ B )
=> ( tptptypes_5_802 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
thf(158,plain,
! [A: $i,B: $i] :
( ( tptptypes_6_818 @ A @ B )
=> ( tptptypes_5_802 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(159,plain,
! [B: $i,A: $i] :
( ~ ( tptptypes_6_818 @ A @ B )
| ( tptptypes_5_802 @ A @ B ) ),
inference(cnf,[status(esa)],[158]) ).
thf(2106,plain,
! [B: $i,A: $i] :
( ( tptptypes_5_802 @ A @ B )
| ( ( tptptypes_6_818 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 )
!= ( tptptypes_6_818 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1036,159]) ).
thf(2107,plain,
tptptypes_5_802 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886,
inference(pattern_uni,[status(thm)],[2106:[bind(A,$thf( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible )),bind(B,$thf( c_tptpcol_16_8886 ))]]) ).
thf(67,plain,
~ ( tptptypes_5_802 @ ( f_subcollectionofwithrelationfromtypefn @ c_orientationvector @ c_orientation @ c_partiallytangible ) @ c_tptpcol_16_8886 ),
inference(cnf,[status(esa)],[66]) ).
thf(2110,plain,
$false,
inference(rewrite,[status(thm)],[2107,67]) ).
thf(2111,plain,
$false,
inference(simp,[status(thm)],[2110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : CSR070+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 6 23:30:23 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.79/0.82 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.17/0.98 % [INFO] Parsing done (156ms).
% 1.17/0.99 % [INFO] Running in sequential loop mode.
% 1.78/1.27 % [INFO] nitpick registered as external prover.
% 1.78/1.28 % [INFO] Scanning for conjecture ...
% 1.91/1.36 % [INFO] Found a conjecture and 79 axioms. Running axiom selection ...
% 2.01/1.44 % [INFO] Axiom selection finished. Selected 63 axioms (removed 16 axioms).
% 2.37/1.49 % [INFO] Problem is first-order (TPTP FOF).
% 2.37/1.50 % [INFO] Type checking passed.
% 2.37/1.50 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 24.29/5.05 % [INFO] Killing All external provers ...
% 24.29/5.06 % Time passed: 4605ms (effective reasoning time: 4060ms)
% 24.29/5.06 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 24.29/5.06 % Axioms used in derivation (7): just10, just8, just57, just16, just12, just19, just14
% 24.29/5.06 % No. of inferences in proof: 42
% 24.29/5.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4605 ms resp. 4060 ms w/o parsing
% 24.34/5.15 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 24.34/5.16 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------