TSTP Solution File: MSC002-2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MSC002-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 11:35:46 EDT 2023
% Result : Unsatisfiable 3.22s 1.80s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 23
% Syntax : Number of formulae : 34 ( 7 unt; 13 typ; 0 def)
% Number of atoms : 41 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 160 ( 22 ~; 20 |; 0 &; 118 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 48 ( 0 ^; 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(answer_type,type,
answer: $i > $o ).
thf(at_type,type,
at: $i > $i > $i > $o ).
thf(something_type,type,
something: $i ).
thf(here_type,type,
here: $i ).
thf(now_type,type,
now: $i ).
thf(held_type,type,
held: $i > $i > $o ).
thf(let_go_type,type,
let_go: $i > $i ).
thf(red_type,type,
red: $i > $o ).
thf(pick_up_type,type,
pick_up: $i > $i ).
thf(grabbed_type,type,
grabbed: $i > $i > $o ).
thf(go_type,type,
go: $i > $i > $i ).
thf(put_type,type,
put: $i > $i > $i > $o ).
thf(there_type,type,
there: $i ).
thf(8,axiom,
! [B: $i,A: $i] :
( ~ ( red @ A )
| ~ ( put @ A @ there @ B )
| ( answer @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',answer_if_red_and_put_there) ).
thf(24,plain,
! [B: $i,A: $i] :
( ~ ( red @ A )
| ~ ( put @ A @ there @ B )
| ( answer @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
! [B: $i,A: $i] :
~ ( held @ A @ ( let_go @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cant_hold_and_let_go) ).
thf(14,plain,
! [B: $i,A: $i] :
~ ( held @ A @ ( let_go @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C )
| ( at @ A @ B @ ( pick_up @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',situation_pick_up) ).
thf(20,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C )
| ( at @ A @ B @ ( pick_up @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( held @ A @ B )
| ~ ( at @ A @ C @ B )
| ( at @ A @ C @ ( go @ D @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thing_either_held_or_went_there) ).
thf(28,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( held @ A @ B )
| ~ ( at @ A @ C @ B )
| ( at @ A @ C @ ( go @ D @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(2,axiom,
at @ something @ here @ now,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_is_here_now) ).
thf(13,plain,
at @ something @ here @ now,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C )
| ( grabbed @ A @ ( pick_up @ ( go @ B @ ( let_go @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',can_grab_if_previously_let_go) ).
thf(22,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C )
| ( grabbed @ A @ ( pick_up @ ( go @ B @ ( let_go @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C )
| ( at @ A @ B @ ( let_go @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',situation_let_go) ).
thf(18,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C )
| ( at @ A @ B @ ( let_go @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ~ ( at @ A @ here @ B )
| ( red @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everything_is_red) ).
thf(16,plain,
! [B: $i,A: $i] :
( ~ ( at @ A @ here @ B )
| ( red @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( answer @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer_situation) ).
thf(11,plain,
! [A: $i] :
~ ( answer @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C )
| ~ ( grabbed @ A @ C )
| ( put @ A @ D @ ( go @ D @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',can_put_somewhere_if_grab_and_go_there) ).
thf(26,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( at @ A @ B @ C )
| ~ ( grabbed @ A @ C )
| ( put @ A @ D @ ( go @ D @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(32,plain,
$false,
inference(e,[status(thm)],[24,14,20,28,13,22,18,16,11,26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MSC002-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n005.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 : Thu May 18 15:14:39 EDT 2023
% 0.16/0.36 % CPUTime :
% 1.02/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/1.06 % [INFO] Parsing done (131ms).
% 1.30/1.06 % [INFO] Running in sequential loop mode.
% 1.70/1.30 % [INFO] eprover registered as external prover.
% 1.87/1.30 % [INFO] cvc4 registered as external prover.
% 1.87/1.31 % [INFO] Scanning for conjecture ...
% 1.87/1.36 % [INFO] Found a conjecture and 9 axioms. Running axiom selection ...
% 2.03/1.38 % [INFO] Axiom selection finished. Selected 9 axioms (removed 0 axioms).
% 2.03/1.40 % [INFO] Problem is propositional (TPTP CNF).
% 2.03/1.40 % [INFO] Type checking passed.
% 2.03/1.40 % [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 ...
% 3.22/1.79 % External prover 'e' found a proof!
% 3.22/1.79 % [INFO] Killing All external provers ...
% 3.22/1.80 % Time passed: 1272ms (effective reasoning time: 728ms)
% 3.22/1.80 % 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)>
% 3.22/1.80 % Axioms used in derivation (9): situation_let_go, something_is_here_now, answer_if_red_and_put_there, can_grab_if_previously_let_go, cant_hold_and_let_go, can_put_somewhere_if_grab_and_go_there, thing_either_held_or_went_there, everything_is_red, situation_pick_up
% 3.22/1.80 % No. of inferences in proof: 21
% 3.22/1.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1272 ms resp. 728 ms w/o parsing
% 3.36/1.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.36/1.84 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------