TSTP Solution File: CSR065+1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR065+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 10:28:50 EDT 2024
% Result : Theorem 15.93s 3.96s
% Output : Refutation 15.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 58 ( 15 unt; 12 typ; 0 def)
% Number of atoms : 106 ( 8 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 214 ( 42 ~; 31 |; 4 &; 128 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 18 ( 0 ^ 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_type,type,
mtvisible: $i > $o ).
thf(c_tptp_spindlecollectormt_type,type,
c_tptp_spindlecollectormt: $i ).
thf(tptpofobject_type,type,
tptpofobject: $i > $i > $o ).
thf(c_tptpridgeline_topographical_type,type,
c_tptpridgeline_topographical: $i ).
thf(f_tptpquantityfn_13_type,type,
f_tptpquantityfn_13: $i > $i ).
thf(n_468_type,type,
n_468: $i ).
thf(genlmt_type,type,
genlmt: $i > $i > $o ).
thf(c_cyclistsmt_type,type,
c_cyclistsmt: $i ).
thf(c_tptp_member3993_mt_type,type,
c_tptp_member3993_mt: $i ).
thf(c_tptp_spindleheadmt_type,type,
c_tptp_spindleheadmt: $i ).
thf(ridgeline_topographical_type,type,
ridgeline_topographical: $i > $o ).
thf(c_tptp_member235_mt_type,type,
c_tptp_member235_mt: $i ).
thf(19,axiom,
genlmt @ c_tptp_spindleheadmt @ c_cyclistsmt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).
thf(75,plain,
genlmt @ c_tptp_spindleheadmt @ c_cyclistsmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
thf(87,plain,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(88,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ~ ( genlmt @ A @ B )
| ( mtvisible @ B ) ),
inference(cnf,[status(esa)],[87]) ).
thf(954,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ( mtvisible @ B )
| ( ( genlmt @ c_tptp_spindleheadmt @ c_cyclistsmt )
!= ( genlmt @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[75,88]) ).
thf(955,plain,
( ~ ( mtvisible @ c_tptp_spindleheadmt )
| ( mtvisible @ c_cyclistsmt ) ),
inference(pattern_uni,[status(thm)],[954:[bind(A,$thf( c_tptp_spindleheadmt )),bind(B,$thf( c_cyclistsmt ))]]) ).
thf(29,axiom,
( ( mtvisible @ c_cyclistsmt )
=> ( ridgeline_topographical @ c_tptpridgeline_topographical ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
thf(92,plain,
( ( mtvisible @ c_cyclistsmt )
=> ( ridgeline_topographical @ c_tptpridgeline_topographical ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(93,plain,
( ~ ( mtvisible @ c_cyclistsmt )
| ( ridgeline_topographical @ c_tptpridgeline_topographical ) ),
inference(cnf,[status(esa)],[92]) ).
thf(33,axiom,
! [A: $i] :
( ( ( mtvisible @ c_tptp_member235_mt )
& ( ridgeline_topographical @ A ) )
=> ( tptpofobject @ A @ ( f_tptpquantityfn_13 @ n_468 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
thf(99,plain,
! [A: $i] :
( ( ( mtvisible @ c_tptp_member235_mt )
& ( ridgeline_topographical @ A ) )
=> ( tptpofobject @ A @ ( f_tptpquantityfn_13 @ n_468 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(100,plain,
! [A: $i] :
( ~ ( mtvisible @ c_tptp_member235_mt )
| ~ ( ridgeline_topographical @ A )
| ( tptpofobject @ A @ ( f_tptpquantityfn_13 @ n_468 ) ) ),
inference(cnf,[status(esa)],[99]) ).
thf(1,conjecture,
( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptpofobject @ c_tptpridgeline_topographical @ ( f_tptpquantityfn_13 @ n_468 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query65) ).
thf(2,negated_conjecture,
~ ( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptpofobject @ c_tptpridgeline_topographical @ ( f_tptpquantityfn_13 @ n_468 ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(37,plain,
~ ( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptpofobject @ c_tptpridgeline_topographical @ ( f_tptpquantityfn_13 @ n_468 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(38,plain,
~ ( tptpofobject @ c_tptpridgeline_topographical @ ( f_tptpquantityfn_13 @ n_468 ) ),
inference(cnf,[status(esa)],[37]) ).
thf(106,plain,
! [A: $i] :
( ~ ( mtvisible @ c_tptp_member235_mt )
| ~ ( ridgeline_topographical @ A )
| ( ( tptpofobject @ A @ ( f_tptpquantityfn_13 @ n_468 ) )
!= ( tptpofobject @ c_tptpridgeline_topographical @ ( f_tptpquantityfn_13 @ n_468 ) ) ) ),
inference(paramod_ordered,[status(thm)],[100,38]) ).
thf(107,plain,
( ~ ( mtvisible @ c_tptp_member235_mt )
| ~ ( ridgeline_topographical @ c_tptpridgeline_topographical ) ),
inference(pattern_uni,[status(thm)],[106:[bind(A,$thf( c_tptpridgeline_topographical ))]]) ).
thf(134,plain,
( ~ ( mtvisible @ c_cyclistsmt )
| ~ ( mtvisible @ c_tptp_member235_mt )
| ( ( ridgeline_topographical @ c_tptpridgeline_topographical )
!= ( ridgeline_topographical @ c_tptpridgeline_topographical ) ) ),
inference(paramod_ordered,[status(thm)],[93,107]) ).
thf(135,plain,
( ~ ( mtvisible @ c_cyclistsmt )
| ~ ( mtvisible @ c_tptp_member235_mt ) ),
inference(pattern_uni,[status(thm)],[134:[]]) ).
thf(176,plain,
( ~ ( mtvisible @ c_cyclistsmt )
| ( ( mtvisible @ c_tptp_member235_mt )
!= ( mtvisible @ c_cyclistsmt ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[135]) ).
thf(180,plain,
( ~ ( mtvisible @ c_cyclistsmt )
| ( ( mtvisible @ c_tptp_member235_mt )
!= ( mtvisible @ c_cyclistsmt ) ) ),
inference(simp,[status(thm)],[176]) ).
thf(27,axiom,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member235_mt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
thf(89,plain,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member235_mt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(924,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ( mtvisible @ B )
| ( ( genlmt @ c_tptp_spindlecollectormt @ c_tptp_member235_mt )
!= ( genlmt @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[89,88]) ).
thf(925,plain,
( ~ ( mtvisible @ c_tptp_spindlecollectormt )
| ( mtvisible @ c_tptp_member235_mt ) ),
inference(pattern_uni,[status(thm)],[924:[bind(A,$thf( c_tptp_spindlecollectormt )),bind(B,$thf( c_tptp_member235_mt ))]]) ).
thf(39,plain,
mtvisible @ c_tptp_spindlecollectormt,
inference(cnf,[status(esa)],[37]) ).
thf(1040,plain,
( ~ $true
| ( mtvisible @ c_tptp_member235_mt ) ),
inference(rewrite,[status(thm)],[925,39]) ).
thf(1041,plain,
mtvisible @ c_tptp_member235_mt,
inference(simp,[status(thm)],[1040]) ).
thf(1053,plain,
( ~ ( mtvisible @ c_cyclistsmt )
| ~ ( mtvisible @ c_cyclistsmt ) ),
inference(rewrite,[status(thm)],[180,1041]) ).
thf(1054,plain,
~ ( mtvisible @ c_cyclistsmt ),
inference(simp,[status(thm)],[1053]) ).
thf(16,axiom,
genlmt @ c_tptp_member3993_mt @ c_tptp_spindleheadmt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
thf(70,plain,
genlmt @ c_tptp_member3993_mt @ c_tptp_spindleheadmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(928,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ( mtvisible @ B )
| ( ( genlmt @ c_tptp_member3993_mt @ c_tptp_spindleheadmt )
!= ( genlmt @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[70,88]) ).
thf(929,plain,
( ~ ( mtvisible @ c_tptp_member3993_mt )
| ( mtvisible @ c_tptp_spindleheadmt ) ),
inference(pattern_uni,[status(thm)],[928:[bind(A,$thf( c_tptp_member3993_mt )),bind(B,$thf( c_tptp_spindleheadmt ))]]) ).
thf(34,axiom,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member3993_mt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
thf(101,plain,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member3993_mt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(918,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ( mtvisible @ B )
| ( ( genlmt @ c_tptp_spindlecollectormt @ c_tptp_member3993_mt )
!= ( genlmt @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[101,88]) ).
thf(919,plain,
( ~ ( mtvisible @ c_tptp_spindlecollectormt )
| ( mtvisible @ c_tptp_member3993_mt ) ),
inference(pattern_uni,[status(thm)],[918:[bind(A,$thf( c_tptp_spindlecollectormt )),bind(B,$thf( c_tptp_member3993_mt ))]]) ).
thf(982,plain,
( ~ $true
| ( mtvisible @ c_tptp_member3993_mt ) ),
inference(rewrite,[status(thm)],[919,39]) ).
thf(983,plain,
mtvisible @ c_tptp_member3993_mt,
inference(simp,[status(thm)],[982]) ).
thf(1118,plain,
( ~ $true
| ( mtvisible @ c_tptp_spindleheadmt ) ),
inference(rewrite,[status(thm)],[929,983]) ).
thf(1119,plain,
mtvisible @ c_tptp_spindleheadmt,
inference(simp,[status(thm)],[1118]) ).
thf(1165,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[955,1054,1119]) ).
thf(1166,plain,
$false,
inference(simp,[status(thm)],[1165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : CSR065+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n020.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon May 6 23:13:54 EDT 2024
% 0.17/0.38 % CPUTime :
% 1.05/0.93 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.45/1.07 % [INFO] Parsing done (145ms).
% 1.45/1.08 % [INFO] Running in sequential loop mode.
% 1.81/1.33 % [INFO] nitpick registered as external prover.
% 1.81/1.33 % [INFO] Scanning for conjecture ...
% 2.00/1.39 % [INFO] Found a conjecture and 56 axioms. Running axiom selection ...
% 2.10/1.44 % [INFO] Axiom selection finished. Selected 34 axioms (removed 22 axioms).
% 2.31/1.48 % [INFO] Problem is first-order (TPTP FOF).
% 2.31/1.48 % [INFO] Type checking passed.
% 2.31/1.49 % [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 ...
% 15.93/3.93 % [INFO] Killing All external provers ...
% 15.93/3.95 % Time passed: 3408ms (effective reasoning time: 2859ms)
% 15.93/3.95 % 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)>
% 15.93/3.96 % Axioms used in derivation (7): just10, just8, just7, just6, just48, just5, just9
% 15.93/3.96 % No. of inferences in proof: 46
% 15.93/3.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3408 ms resp. 2859 ms w/o parsing
% 15.99/4.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.99/4.03 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------