TSTP Solution File: GEO146-1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GEO146-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : Fri May 19 11:09:31 EDT 2023
% Result : Unsatisfiable 3.30s 1.76s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 30
% Syntax : Number of formulae : 50 ( 3 unt; 11 typ; 0 def)
% Number of atoms : 79 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 350 ( 42 ~; 40 |; 0 &; 268 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 78 ( 0 ^; 78 !; 0 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
thf(connect_type,type,
connect: $i > $i > $i > $o ).
thf(sk27_type,type,
sk27: $i ).
thf(sk28_type,type,
sk28: $i ).
thf(sk29_type,type,
sk29: $i ).
thf(ordered_by_type,type,
ordered_by: $i > $i > $i > $o ).
thf(incident_o_type,type,
incident_o: $i > $i > $o ).
thf(once_type,type,
once: $i > $o ).
thf(at_the_same_time_type,type,
at_the_same_time: $i > $i > $i ).
thf(trajectory_of_type,type,
trajectory_of: $i > $i ).
thf(at_type,type,
at: $i > $i > $i ).
thf(ax3_sk2_type,type,
ax3_sk2: $i > $i > $i ).
thf(13,axiom,
! [A: $i] :
( ~ ( once @ A )
| ( once @ ( at_the_same_time @ A @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_at_the_same_time_7) ).
thf(42,plain,
! [A: $i] :
( ~ ( once @ A )
| ( once @ ( at_the_same_time @ A @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(18,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ ( at @ A @ B ) @ ( at @ C @ B ) ) )
| ( connect @ A @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connect_defn_2) ).
thf(52,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ ( at @ A @ B ) @ ( at @ C @ B ) ) )
| ( connect @ A @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(19,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( connect @ A @ B @ C )
| ( once @ ( at_the_same_time @ ( at @ A @ C ) @ ( at @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connect_defn_1) ).
thf(54,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( connect @ A @ B @ C )
| ( once @ ( at_the_same_time @ ( at @ A @ C ) @ ( at @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(16,axiom,
! [B: $i,A: $i] :
( ~ ( once @ A )
| ( once @ ( at_the_same_time @ A @ ( at @ B @ ( ax3_sk2 @ B @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',localization_14) ).
thf(48,plain,
! [B: $i,A: $i] :
( ~ ( once @ A )
| ( once @ ( at_the_same_time @ A @ ( at @ B @ ( ax3_sk2 @ B @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(17,axiom,
! [B: $i,A: $i] :
( ~ ( once @ ( at @ A @ B ) )
| ( incident_o @ B @ ( trajectory_of @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',at_on_trajectory_10) ).
thf(50,plain,
! [B: $i,A: $i] :
( ~ ( once @ ( at @ A @ B ) )
| ( incident_o @ B @ ( trajectory_of @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1,negated_conjecture,
( ( connect @ sk27 @ sk28 @ sk29 )
| ( connect @ sk28 @ sk27 @ sk29 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_156) ).
thf(20,plain,
( ( connect @ sk27 @ sk28 @ sk29 )
| ( connect @ sk28 @ sk27 @ sk29 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) )
| ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assciativity_of_at_the_same_time_6) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) )
| ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(2,negated_conjecture,
( ( connect @ sk27 @ sk28 @ sk29 )
| ~ ( connect @ sk27 @ sk28 @ sk29 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_157) ).
thf(21,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ( incident_o @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o1_17) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ( incident_o @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ A @ B ) )
| ( once @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjunction_at_the_same_time_8) ).
thf(38,plain,
! [B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ A @ B ) )
| ( once @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) )
| ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assciativity_of_at_the_same_time_5) ).
thf(32,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) )
| ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ A @ B ) )
| ( once @ ( at_the_same_time @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_at_the_same_time_3) ).
thf(34,plain,
! [B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ A @ B ) )
| ( once @ ( at_the_same_time @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,negated_conjecture,
( ~ ( connect @ sk28 @ sk27 @ sk29 )
| ( connect @ sk28 @ sk27 @ sk29 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_158) ).
thf(22,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ A @ B ) )
| ( once @ ( at_the_same_time @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_at_the_same_time_4) ).
thf(44,plain,
! [B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ A @ B ) )
| ( once @ ( at_the_same_time @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(12,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ ( at @ A @ B ) @ ( at @ C @ D ) ) )
| ~ ( once @ ( at_the_same_time @ ( at @ A @ E ) @ ( at @ C @ F ) ) )
| ~ ( ordered_by @ ( trajectory_of @ A ) @ B @ E )
| ~ ( ordered_by @ ( trajectory_of @ C ) @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',homogeneous_behaviour_13) ).
thf(40,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ ( at @ A @ B ) @ ( at @ C @ D ) ) )
| ~ ( once @ ( at_the_same_time @ ( at @ A @ E ) @ ( at @ C @ F ) ) )
| ~ ( ordered_by @ ( trajectory_of @ A ) @ B @ E )
| ~ ( ordered_by @ ( trajectory_of @ C ) @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ( incident_o @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o1_18) ).
thf(26,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ( incident_o @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,negated_conjecture,
( ~ ( connect @ sk28 @ sk27 @ sk29 )
| ~ ( connect @ sk27 @ sk28 @ sk29 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_159) ).
thf(23,plain,
( ~ ( connect @ sk28 @ sk27 @ sk29 )
| ~ ( connect @ sk27 @ sk28 @ sk29 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ~ ( incident_o @ A @ ( trajectory_of @ B ) )
| ( once @ ( at @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',at_on_trajectory_11) ).
thf(36,plain,
! [B: $i,A: $i] :
( ~ ( incident_o @ A @ ( trajectory_of @ B ) )
| ( once @ ( at @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ A @ B ) )
| ( once @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjunction_at_the_same_time_9) ).
thf(30,plain,
! [B: $i,A: $i] :
( ~ ( once @ ( at_the_same_time @ A @ B ) )
| ( once @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(60,plain,
$false,
inference(cvc4,[status(thm)],[42,52,54,48,50,20,46,21,28,38,32,34,22,44,40,26,23,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO146-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 19 04:32:33 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.96/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/1.02 % [INFO] Parsing done (170ms).
% 1.28/1.03 % [INFO] Running in sequential loop mode.
% 2.01/1.24 % [INFO] eprover registered as external prover.
% 2.01/1.24 % [INFO] cvc4 registered as external prover.
% 2.01/1.24 % [INFO] Scanning for conjecture ...
% 2.06/1.31 % [INFO] Found a conjecture and 110 axioms. Running axiom selection ...
% 2.25/1.35 % [INFO] Axiom selection finished. Selected 15 axioms (removed 95 axioms).
% 2.42/1.37 % [INFO] Problem is propositional (TPTP CNF).
% 2.42/1.37 % [INFO] Type checking passed.
% 2.42/1.38 % [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 ...
% 3.30/1.76 % External prover 'cvc4' found a proof!
% 3.30/1.76 % [INFO] Killing All external provers ...
% 3.30/1.76 % Time passed: 1232ms (effective reasoning time: 726ms)
% 3.30/1.76 % 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)>
% 3.30/1.76 % Axioms used in derivation (15): idempotence_of_at_the_same_time_7, conjunction_at_the_same_time_9, localization_14, connect_defn_1, assciativity_of_at_the_same_time_5, conjunction_at_the_same_time_8, assciativity_of_at_the_same_time_6, at_on_trajectory_11, homogeneous_behaviour_13, symmetry_of_at_the_same_time_4, o1_17, connect_defn_2, at_on_trajectory_10, o1_18, symmetry_of_at_the_same_time_3
% 3.30/1.76 % No. of inferences in proof: 39
% 3.30/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1232 ms resp. 726 ms w/o parsing
% 3.88/1.86 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.88/1.86 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------