TSTP Solution File: CSR141^1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR141^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 10:29:45 EDT 2024
% Result : Theorem 4.49s 2.29s
% Output : Refutation 4.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 47 ( 11 unt; 12 typ; 0 def)
% Number of atoms : 89 ( 6 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 249 ( 36 ~; 18 |; 4 &; 187 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 25 ( 0 ^ 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(agent_THFTYPE_IiioI_type,type,
agent_THFTYPE_IiioI: $i > $i > $o ).
thf(connected_THFTYPE_IiioI_type,type,
connected_THFTYPE_IiioI: $i > $i > $o ).
thf(holdsDuring_THFTYPE_IiooI_type,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(instance_THFTYPE_IiioI_type,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(lCADE_BM_THFTYPE_i_type,type,
lCADE_BM_THFTYPE_i: $i ).
thf(lMariaPaola_THFTYPE_i_type,type,
lMariaPaola_THFTYPE_i: $i ).
thf(lMeeting_THFTYPE_i_type,type,
lMeeting_THFTYPE_i: $i ).
thf(lReiner_THFTYPE_i_type,type,
lReiner_THFTYPE_i: $i ).
thf(lWhenFn_THFTYPE_IiiI_type,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(lNear_THFTYPE_i_type,type,
lNear_THFTYPE_i: $i ).
thf(orientation_THFTYPE_IiiioI_type,type,
orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(1,conjecture,
( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
@ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
@ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
@ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(13,plain,
holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(18,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
@ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) ),
inference(paramod_ordered,[status(thm)],[13,9]) ).
thf(19,plain,
( ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
!= ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) )
| ~ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
inference(simp,[status(thm)],[18]) ).
thf(20,plain,
( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
| ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
!= ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[19]) ).
thf(21,plain,
connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i,
inference(simp,[status(thm)],[20]) ).
thf(22,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ~ $true ),
inference(rewrite,[status(thm)],[9,21]) ).
thf(23,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $false ),
inference(simp,[status(thm)],[22]) ).
thf(4,axiom,
agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(11,plain,
agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(10,plain,
agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( instance_THFTYPE_IiioI @ A @ lMeeting_THFTYPE_i )
& ( agent_THFTYPE_IiioI @ A @ C )
& ( agent_THFTYPE_IiioI @ A @ B ) )
=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( orientation_THFTYPE_IiiioI @ C @ B @ lNear_THFTYPE_i ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(14,plain,
! [A: $i,B: $i,C: $i] :
( ( ( instance_THFTYPE_IiioI @ A @ lMeeting_THFTYPE_i )
& ( agent_THFTYPE_IiioI @ A @ C )
& ( agent_THFTYPE_IiioI @ A @ B ) )
=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( orientation_THFTYPE_IiiioI @ C @ B @ lNear_THFTYPE_i ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( instance_THFTYPE_IiioI @ A @ lMeeting_THFTYPE_i )
| ~ ( agent_THFTYPE_IiioI @ A @ C )
| ~ ( agent_THFTYPE_IiioI @ A @ B )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( orientation_THFTYPE_IiiioI @ C @ B @ lNear_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[14]) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( instance_THFTYPE_IiioI @ A @ lMeeting_THFTYPE_i )
| ~ ( agent_THFTYPE_IiioI @ A @ C )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( orientation_THFTYPE_IiiioI @ C @ B @ lNear_THFTYPE_i ) )
| ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i )
!= ( agent_THFTYPE_IiioI @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[10,15]) ).
thf(32,plain,
! [A: $i] :
( ~ ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
| ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ A )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ A @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) ) ),
inference(pattern_uni,[status(thm)],[31:[bind(A,$thf( lCADE_BM_THFTYPE_i )),bind(B,$thf( lReiner_THFTYPE_i ))]]) ).
thf(41,plain,
! [A: $i] :
( ~ ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
| ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ A )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ A @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[32]) ).
thf(5,axiom,
instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(12,plain,
instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(46,plain,
! [A: $i] :
( ~ $true
| ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ A )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ A @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) ) ),
inference(rewrite,[status(thm)],[41,12]) ).
thf(47,plain,
! [A: $i] :
( ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ A )
| ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ A @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[46]) ).
thf(50,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ A @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
| ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i )
!= ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ A ) ) ),
inference(paramod_ordered,[status(thm)],[11,47]) ).
thf(51,plain,
holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ),
inference(pattern_uni,[status(thm)],[50:[bind(A,$thf( lMariaPaola_THFTYPE_i ))]]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( orientation_THFTYPE_IiiioI @ A @ B @ lNear_THFTYPE_i )
=> ~ ( connected_THFTYPE_IiioI @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).
thf(16,plain,
! [A: $i,B: $i] :
( ( orientation_THFTYPE_IiiioI @ A @ B @ lNear_THFTYPE_i )
=> ~ ( connected_THFTYPE_IiioI @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(17,plain,
! [B: $i,A: $i] :
( ~ ( orientation_THFTYPE_IiiioI @ A @ B @ lNear_THFTYPE_i )
| ~ ( connected_THFTYPE_IiioI @ A @ B ) ),
inference(cnf,[status(esa)],[16]) ).
thf(24,plain,
! [B: $i,A: $i] :
( ~ ( orientation_THFTYPE_IiiioI @ A @ B @ lNear_THFTYPE_i )
| ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
!= ( connected_THFTYPE_IiioI @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[21,17]) ).
thf(25,plain,
~ ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ),
inference(pattern_uni,[status(thm)],[24:[bind(A,$thf( lMariaPaola_THFTYPE_i )),bind(B,$thf( lReiner_THFTYPE_i ))]]) ).
thf(105,plain,
holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $false,
inference(rewrite,[status(thm)],[51,25]) ).
thf(106,plain,
~ $true,
inference(rewrite,[status(thm)],[23,105]) ).
thf(107,plain,
$false,
inference(simp,[status(thm)],[106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : CSR141^1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.11 % Command : run_Leo-III %s %d
% 0.10/0.32 % Computer : n017.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon May 6 23:32:25 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.80/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.09/0.95 % [INFO] Parsing done (153ms).
% 1.17/0.96 % [INFO] Running in sequential loop mode.
% 1.57/1.26 % [INFO] nitpick registered as external prover.
% 1.57/1.27 % [INFO] Scanning for conjecture ...
% 1.70/1.35 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.82/1.38 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.82/1.40 % [INFO] Problem is higher-order (TPTP THF).
% 1.82/1.40 % [INFO] Type checking passed.
% 1.82/1.41 % [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 ...
% 4.49/2.28 % [INFO] Killing All external provers ...
% 4.49/2.28 % Time passed: 1839ms (effective reasoning time: 1322ms)
% 4.49/2.28 % 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)>
% 4.49/2.29 % Axioms used in derivation (6): ax_003, ax_001, ax_002, ax_005, ax, ax_004
% 4.49/2.29 % No. of inferences in proof: 35
% 4.49/2.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1839 ms resp. 1322 ms w/o parsing
% 4.49/2.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.49/2.34 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------