TSTP Solution File: PUZ047-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ047-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n022.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 11:47:33 EDT 2023
% Result : Unsatisfiable 3.13s 1.71s
% Output : Refutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 24
% Syntax : Number of formulae : 41 ( 5 unt; 8 typ; 0 def)
% Number of atoms : 61 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 386 ( 30 ~; 28 |; 0 &; 328 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 4 con; 0-5 aty)
% Number of variables : 38 ( 0 ^; 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $i > $i > $i > $i > $i > $o ).
thf(south_type,type,
south: $i ).
thf(start_type,type,
start: $i ).
thf(north_type,type,
north: $i ).
thf(go_alone_type,type,
go_alone: $i > $i ).
thf(take_wolf_type,type,
take_wolf: $i > $i ).
thf(take_goat_type,type,
take_goat: $i > $i ).
thf(take_cabbage_type,type,
take_cabbage: $i > $i ).
thf(10,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p @ north @ A @ north @ B @ ( take_goat @ C ) )
| ~ ( p @ south @ A @ south @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_10) ).
thf(18,plain,
! [C: $i,B: $i,A: $i] :
( ( p @ north @ A @ north @ B @ ( take_goat @ C ) )
| ~ ( p @ south @ A @ south @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(4,negated_conjecture,
! [A: $i] :
( ( p @ north @ south @ north @ south @ ( go_alone @ A ) )
| ~ ( p @ south @ south @ north @ south @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_4) ).
thf(31,plain,
! [A: $i] :
( ( p @ north @ south @ north @ south @ ( go_alone @ A ) )
| ~ ( p @ south @ south @ north @ south @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( p @ north @ north @ south @ north @ ( go_alone @ A ) )
| ~ ( p @ south @ north @ south @ north @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_2) ).
thf(24,plain,
! [A: $i] :
( ( p @ north @ north @ south @ north @ ( go_alone @ A ) )
| ~ ( p @ south @ north @ south @ north @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,negated_conjecture,
! [A: $i] :
( ( p @ north @ north @ south @ north @ ( take_cabbage @ A ) )
| ~ ( p @ south @ north @ south @ south @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_12) ).
thf(25,plain,
! [A: $i] :
( ( p @ north @ north @ south @ north @ ( take_cabbage @ A ) )
| ~ ( p @ south @ north @ south @ south @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,negated_conjecture,
p @ south @ south @ south @ south @ start,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_1) ).
thf(20,plain,
p @ south @ south @ south @ south @ start,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(11,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p @ south @ A @ south @ B @ ( take_goat @ C ) )
| ~ ( p @ north @ A @ north @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_11) ).
thf(29,plain,
! [C: $i,B: $i,A: $i] :
( ( p @ south @ A @ south @ B @ ( take_goat @ C ) )
| ~ ( p @ north @ A @ north @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(16,negated_conjecture,
! [A: $i] :
~ ( p @ north @ north @ north @ north @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_16) ).
thf(28,plain,
! [A: $i] :
~ ( p @ north @ north @ north @ north @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(6,negated_conjecture,
! [A: $i] :
( ( p @ north @ north @ south @ north @ ( take_wolf @ A ) )
| ~ ( p @ south @ south @ south @ north @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_6) ).
thf(21,plain,
! [A: $i] :
( ( p @ north @ north @ south @ north @ ( take_wolf @ A ) )
| ~ ( p @ south @ south @ south @ north @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(15,negated_conjecture,
! [A: $i] :
( ( p @ south @ south @ north @ south @ ( take_cabbage @ A ) )
| ~ ( p @ north @ south @ north @ north @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_15) ).
thf(32,plain,
! [A: $i] :
( ( p @ south @ south @ north @ south @ ( take_cabbage @ A ) )
| ~ ( p @ north @ south @ north @ north @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(5,negated_conjecture,
! [A: $i] :
( ( p @ south @ south @ north @ south @ ( go_alone @ A ) )
| ~ ( p @ north @ south @ north @ south @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_5) ).
thf(17,plain,
! [A: $i] :
( ( p @ south @ south @ north @ south @ ( go_alone @ A ) )
| ~ ( p @ north @ south @ north @ south @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,negated_conjecture,
! [A: $i] :
( ( p @ south @ south @ north @ south @ ( take_wolf @ A ) )
| ~ ( p @ north @ north @ north @ south @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_9) ).
thf(22,plain,
! [A: $i] :
( ( p @ south @ south @ north @ south @ ( take_wolf @ A ) )
| ~ ( p @ north @ north @ north @ south @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ( p @ south @ north @ south @ north @ ( go_alone @ A ) )
| ~ ( p @ north @ north @ south @ north @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_3) ).
thf(27,plain,
! [A: $i] :
( ( p @ south @ north @ south @ north @ ( go_alone @ A ) )
| ~ ( p @ north @ north @ south @ north @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,negated_conjecture,
! [A: $i] :
( ( p @ south @ south @ south @ north @ ( take_wolf @ A ) )
| ~ ( p @ north @ north @ south @ north @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_7) ).
thf(26,plain,
! [A: $i] :
( ( p @ south @ south @ south @ north @ ( take_wolf @ A ) )
| ~ ( p @ north @ north @ south @ north @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(13,negated_conjecture,
! [A: $i] :
( ( p @ south @ north @ south @ south @ ( take_cabbage @ A ) )
| ~ ( p @ north @ north @ south @ north @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_13) ).
thf(23,plain,
! [A: $i] :
( ( p @ south @ north @ south @ south @ ( take_cabbage @ A ) )
| ~ ( p @ north @ north @ south @ north @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,negated_conjecture,
! [A: $i] :
( ( p @ north @ north @ north @ south @ ( take_wolf @ A ) )
| ~ ( p @ south @ south @ north @ south @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_8) ).
thf(30,plain,
! [A: $i] :
( ( p @ north @ north @ north @ south @ ( take_wolf @ A ) )
| ~ ( p @ south @ south @ north @ south @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(14,negated_conjecture,
! [A: $i] :
( ( p @ north @ south @ north @ north @ ( take_cabbage @ A ) )
| ~ ( p @ south @ south @ north @ south @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_14) ).
thf(19,plain,
! [A: $i] :
( ( p @ north @ south @ north @ north @ ( take_cabbage @ A ) )
| ~ ( p @ south @ south @ north @ south @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(51,plain,
$false,
inference(e,[status(thm)],[18,31,24,25,20,29,28,21,32,17,22,27,26,23,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ047-1 : TPTP v8.1.2. Released v2.5.0.
% 0.16/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n022.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 19:53:18 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.92/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.27/0.97 % [INFO] Parsing done (112ms).
% 1.27/0.97 % [INFO] Running in sequential loop mode.
% 1.65/1.18 % [INFO] eprover registered as external prover.
% 1.65/1.18 % [INFO] cvc4 registered as external prover.
% 1.65/1.19 % [INFO] Scanning for conjecture ...
% 1.90/1.26 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.90/1.30 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.90/1.30 % [INFO] Problem is propositional (TPTP CNF).
% 1.90/1.30 % [INFO] Type checking passed.
% 1.90/1.30 % [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 ...
% 3.13/1.71 % External prover 'e' found a proof!
% 3.13/1.71 % [INFO] Killing All external provers ...
% 3.13/1.71 % Time passed: 1193ms (effective reasoning time: 732ms)
% 3.13/1.71 % 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)>
% 3.13/1.71 % Axioms used in derivation (0):
% 3.13/1.71 % No. of inferences in proof: 33
% 3.13/1.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1193 ms resp. 732 ms w/o parsing
% 3.39/1.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.39/1.79 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------