TSTP Solution File: CSR073+1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR073+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 10:28:55 EDT 2024
% Result : Theorem 21.79s 4.49s
% Output : Refutation 21.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 53 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 92 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 206 ( 26 ~; 22 |; 2 &; 140 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 45 ( 0 ^ 41 !; 4 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_type,type,
mtvisible: $i > $o ).
thf(c_tptp_spindlecollectormt_type,type,
c_tptp_spindlecollectormt: $i ).
thf(tptptypes_5_387_type,type,
tptptypes_5_387: $i > $i > $o ).
thf(c_pushingababycarriage_type,type,
c_pushingababycarriage: $i ).
thf(tptptypes_8_400_type,type,
tptptypes_8_400: $i > $i > $o ).
thf(tptptypes_7_396_type,type,
tptptypes_7_396: $i > $i > $o ).
thf(genlmt_type,type,
genlmt: $i > $i > $o ).
thf(tptptypes_9_401_type,type,
tptptypes_9_401: $i > $i > $o ).
thf(tptptypes_6_388_type,type,
tptptypes_6_388: $i > $i > $o ).
thf(c_tptpcol_16_10258_type,type,
c_tptpcol_16_10258: $i ).
thf(c_tptp_member237_mt_type,type,
c_tptp_member237_mt: $i ).
thf(52,axiom,
( ( mtvisible @ c_tptp_member237_mt )
=> ( tptptypes_9_401 @ c_pushingababycarriage @ c_tptpcol_16_10258 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).
thf(156,plain,
( ( mtvisible @ c_tptp_member237_mt )
=> ( tptptypes_9_401 @ c_pushingababycarriage @ c_tptpcol_16_10258 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(157,plain,
( ~ ( mtvisible @ c_tptp_member237_mt )
| ( tptptypes_9_401 @ c_pushingababycarriage @ c_tptpcol_16_10258 ) ),
inference(cnf,[status(esa)],[156]) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ( tptptypes_9_401 @ A @ B )
=> ( tptptypes_8_400 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
thf(120,plain,
! [A: $i,B: $i] :
( ( tptptypes_9_401 @ A @ B )
=> ( tptptypes_8_400 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(121,plain,
! [B: $i,A: $i] :
( ~ ( tptptypes_9_401 @ A @ B )
| ( tptptypes_8_400 @ B @ A ) ),
inference(cnf,[status(esa)],[120]) ).
thf(979,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ c_tptp_member237_mt )
| ( tptptypes_8_400 @ B @ A )
| ( ( tptptypes_9_401 @ c_pushingababycarriage @ c_tptpcol_16_10258 )
!= ( tptptypes_9_401 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[157,121]) ).
thf(980,plain,
( ~ ( mtvisible @ c_tptp_member237_mt )
| ( tptptypes_8_400 @ c_tptpcol_16_10258 @ c_pushingababycarriage ) ),
inference(pattern_uni,[status(thm)],[979:[bind(A,$thf( c_pushingababycarriage )),bind(B,$thf( c_tptpcol_16_10258 ))]]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( tptptypes_8_400 @ A @ B )
=> ( tptptypes_7_396 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
thf(60,plain,
! [A: $i,B: $i] :
( ( tptptypes_8_400 @ A @ B )
=> ( tptptypes_7_396 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(61,plain,
! [B: $i,A: $i] :
( ~ ( tptptypes_8_400 @ A @ B )
| ( tptptypes_7_396 @ A @ B ) ),
inference(cnf,[status(esa)],[60]) ).
thf(1136,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ c_tptp_member237_mt )
| ( tptptypes_7_396 @ A @ B )
| ( ( tptptypes_8_400 @ c_tptpcol_16_10258 @ c_pushingababycarriage )
!= ( tptptypes_8_400 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[980,61]) ).
thf(1137,plain,
( ~ ( mtvisible @ c_tptp_member237_mt )
| ( tptptypes_7_396 @ c_tptpcol_16_10258 @ c_pushingababycarriage ) ),
inference(pattern_uni,[status(thm)],[1136:[bind(A,$thf( c_tptpcol_16_10258 )),bind(B,$thf( c_pushingababycarriage ))]]) ).
thf(41,axiom,
! [A: $i,B: $i] :
( ( tptptypes_7_396 @ A @ B )
=> ( tptptypes_6_388 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
thf(137,plain,
! [A: $i,B: $i] :
( ( tptptypes_7_396 @ A @ B )
=> ( tptptypes_6_388 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(138,plain,
! [B: $i,A: $i] :
( ~ ( tptptypes_7_396 @ A @ B )
| ( tptptypes_6_388 @ A @ B ) ),
inference(cnf,[status(esa)],[137]) ).
thf(1274,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ c_tptp_member237_mt )
| ( tptptypes_6_388 @ A @ B )
| ( ( tptptypes_7_396 @ c_tptpcol_16_10258 @ c_pushingababycarriage )
!= ( tptptypes_7_396 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1137,138]) ).
thf(1275,plain,
( ~ ( mtvisible @ c_tptp_member237_mt )
| ( tptptypes_6_388 @ c_tptpcol_16_10258 @ c_pushingababycarriage ) ),
inference(pattern_uni,[status(thm)],[1274:[bind(A,$thf( c_tptpcol_16_10258 )),bind(B,$thf( c_pushingababycarriage ))]]) ).
thf(50,axiom,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member237_mt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).
thf(154,plain,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member237_mt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(49,axiom,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just59) ).
thf(152,plain,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(153,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ~ ( genlmt @ A @ B )
| ( mtvisible @ B ) ),
inference(cnf,[status(esa)],[152]) ).
thf(1646,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ( mtvisible @ B )
| ( ( genlmt @ c_tptp_spindlecollectormt @ c_tptp_member237_mt )
!= ( genlmt @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[154,153]) ).
thf(1647,plain,
( ~ ( mtvisible @ c_tptp_spindlecollectormt )
| ( mtvisible @ c_tptp_member237_mt ) ),
inference(pattern_uni,[status(thm)],[1646:[bind(A,$thf( c_tptp_spindlecollectormt )),bind(B,$thf( c_tptp_member237_mt ))]]) ).
thf(1,conjecture,
? [A: $i] :
( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptptypes_5_387 @ A @ c_pushingababycarriage ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query73) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptptypes_5_387 @ A @ c_pushingababycarriage ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(54,plain,
~ ? [A: $i] :
( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptptypes_5_387 @ A @ c_pushingababycarriage ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(55,plain,
~ ( ( mtvisible @ c_tptp_spindlecollectormt )
=> ? [A: $i] : ( tptptypes_5_387 @ A @ c_pushingababycarriage ) ),
inference(miniscope,[status(thm)],[54]) ).
thf(57,plain,
mtvisible @ c_tptp_spindlecollectormt,
inference(cnf,[status(esa)],[55]) ).
thf(1685,plain,
( ~ $true
| ( mtvisible @ c_tptp_member237_mt ) ),
inference(rewrite,[status(thm)],[1647,57]) ).
thf(1686,plain,
mtvisible @ c_tptp_member237_mt,
inference(simp,[status(thm)],[1685]) ).
thf(1689,plain,
( ~ $true
| ( tptptypes_6_388 @ c_tptpcol_16_10258 @ c_pushingababycarriage ) ),
inference(rewrite,[status(thm)],[1275,1686]) ).
thf(1690,plain,
tptptypes_6_388 @ c_tptpcol_16_10258 @ c_pushingababycarriage,
inference(simp,[status(thm)],[1689]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( tptptypes_6_388 @ A @ B )
=> ( tptptypes_5_387 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
thf(158,plain,
! [A: $i,B: $i] :
( ( tptptypes_6_388 @ A @ B )
=> ( tptptypes_5_387 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(159,plain,
! [B: $i,A: $i] :
( ~ ( tptptypes_6_388 @ A @ B )
| ( tptptypes_5_387 @ A @ B ) ),
inference(cnf,[status(esa)],[158]) ).
thf(1727,plain,
! [B: $i,A: $i] :
( ( tptptypes_5_387 @ A @ B )
| ( ( tptptypes_6_388 @ c_tptpcol_16_10258 @ c_pushingababycarriage )
!= ( tptptypes_6_388 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1690,159]) ).
thf(1728,plain,
tptptypes_5_387 @ c_tptpcol_16_10258 @ c_pushingababycarriage,
inference(pattern_uni,[status(thm)],[1727:[bind(A,$thf( c_tptpcol_16_10258 )),bind(B,$thf( c_pushingababycarriage ))]]) ).
thf(56,plain,
! [A: $i] :
~ ( tptptypes_5_387 @ A @ c_pushingababycarriage ),
inference(cnf,[status(esa)],[55]) ).
thf(1939,plain,
$false,
inference(rewrite,[status(thm)],[1728,56]) ).
thf(1940,plain,
$false,
inference(simp,[status(thm)],[1939]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR073+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n019.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 6 23:19:24 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.83/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.18/1.00 % [INFO] Parsing done (142ms).
% 1.41/1.01 % [INFO] Running in sequential loop mode.
% 1.84/1.23 % [INFO] nitpick registered as external prover.
% 1.84/1.23 % [INFO] Scanning for conjecture ...
% 1.93/1.29 % [INFO] Found a conjecture and 67 axioms. Running axiom selection ...
% 2.17/1.35 % [INFO] Axiom selection finished. Selected 51 axioms (removed 16 axioms).
% 2.34/1.39 % [INFO] Problem is first-order (TPTP FOF).
% 2.34/1.40 % [INFO] Type checking passed.
% 2.34/1.40 % [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 ...
% 21.79/4.47 % [INFO] Killing All external provers ...
% 21.79/4.48 % Time passed: 3946ms (effective reasoning time: 3460ms)
% 21.79/4.48 % 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)>
% 21.79/4.48 % Axioms used in derivation (7): just15, just11, just7, just59, just13, just18, just9
% 21.79/4.49 % No. of inferences in proof: 42
% 21.79/4.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3946 ms resp. 3460 ms w/o parsing
% 21.79/4.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 21.79/4.53 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------