TSTP Solution File: PUZ047+1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% 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 : n007.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 : Theorem 3.20s 1.85s
% Output : Refutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 12 ( 1 unt; 8 typ; 0 def)
% Number of atoms : 91 ( 0 equ; 0 cnn)
% Maximal formula atoms : 30 ( 22 avg)
% Number of connectives : 581 ( 2 ~; 0 |; 42 &; 492 @)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 18 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 : 57 ( 0 ^; 54 !; 3 ?; 57 :)
% 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(1,conjecture,
( ( ( p @ south @ south @ south @ south @ start )
& ! [A: $i] :
( ( p @ south @ north @ south @ north @ A )
=> ( p @ north @ north @ south @ north @ ( go_alone @ A ) ) )
& ! [A: $i] :
( ( p @ north @ north @ south @ north @ A )
=> ( p @ south @ north @ south @ north @ ( go_alone @ A ) ) )
& ! [A: $i] :
( ( p @ south @ south @ north @ south @ A )
=> ( p @ north @ south @ north @ south @ ( go_alone @ A ) ) )
& ! [A: $i] :
( ( p @ north @ south @ north @ south @ A )
=> ( p @ south @ south @ north @ south @ ( go_alone @ A ) ) )
& ! [A: $i] :
( ( p @ south @ south @ south @ north @ A )
=> ( p @ north @ north @ south @ north @ ( take_wolf @ A ) ) )
& ! [A: $i] :
( ( p @ north @ north @ south @ north @ A )
=> ( p @ south @ south @ south @ north @ ( take_wolf @ A ) ) )
& ! [A: $i] :
( ( p @ south @ south @ north @ south @ A )
=> ( p @ north @ north @ north @ south @ ( take_wolf @ A ) ) )
& ! [A: $i] :
( ( p @ north @ north @ north @ south @ A )
=> ( p @ south @ south @ north @ south @ ( take_wolf @ A ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( p @ south @ A @ south @ B @ C )
=> ( p @ north @ A @ north @ B @ ( take_goat @ C ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( p @ north @ A @ north @ B @ C )
=> ( p @ south @ A @ south @ B @ ( take_goat @ C ) ) )
& ! [A: $i] :
( ( p @ south @ north @ south @ south @ A )
=> ( p @ north @ north @ south @ north @ ( take_cabbage @ A ) ) )
& ! [A: $i] :
( ( p @ north @ north @ south @ north @ A )
=> ( p @ south @ north @ south @ south @ ( take_cabbage @ A ) ) )
& ! [A: $i] :
( ( p @ south @ south @ north @ south @ A )
=> ( p @ north @ south @ north @ north @ ( take_cabbage @ A ) ) )
& ! [A: $i] :
( ( p @ north @ south @ north @ north @ A )
=> ( p @ south @ south @ north @ south @ ( take_cabbage @ A ) ) ) )
=> ? [A: $i] : ( p @ north @ north @ north @ north @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm100) ).
thf(2,negated_conjecture,
~ ( ( ( p @ south @ south @ south @ south @ start )
& ! [A: $i] :
( ( p @ south @ north @ south @ north @ A )
=> ( p @ north @ north @ south @ north @ ( go_alone @ A ) ) )
& ! [A: $i] :
( ( p @ north @ north @ south @ north @ A )
=> ( p @ south @ north @ south @ north @ ( go_alone @ A ) ) )
& ! [A: $i] :
( ( p @ south @ south @ north @ south @ A )
=> ( p @ north @ south @ north @ south @ ( go_alone @ A ) ) )
& ! [A: $i] :
( ( p @ north @ south @ north @ south @ A )
=> ( p @ south @ south @ north @ south @ ( go_alone @ A ) ) )
& ! [A: $i] :
( ( p @ south @ south @ south @ north @ A )
=> ( p @ north @ north @ south @ north @ ( take_wolf @ A ) ) )
& ! [A: $i] :
( ( p @ north @ north @ south @ north @ A )
=> ( p @ south @ south @ south @ north @ ( take_wolf @ A ) ) )
& ! [A: $i] :
( ( p @ south @ south @ north @ south @ A )
=> ( p @ north @ north @ north @ south @ ( take_wolf @ A ) ) )
& ! [A: $i] :
( ( p @ north @ north @ north @ south @ A )
=> ( p @ south @ south @ north @ south @ ( take_wolf @ A ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( p @ south @ A @ south @ B @ C )
=> ( p @ north @ A @ north @ B @ ( take_goat @ C ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( p @ north @ A @ north @ B @ C )
=> ( p @ south @ A @ south @ B @ ( take_goat @ C ) ) )
& ! [A: $i] :
( ( p @ south @ north @ south @ south @ A )
=> ( p @ north @ north @ south @ north @ ( take_cabbage @ A ) ) )
& ! [A: $i] :
( ( p @ north @ north @ south @ north @ A )
=> ( p @ south @ north @ south @ south @ ( take_cabbage @ A ) ) )
& ! [A: $i] :
( ( p @ south @ south @ north @ south @ A )
=> ( p @ north @ south @ north @ north @ ( take_cabbage @ A ) ) )
& ! [A: $i] :
( ( p @ north @ south @ north @ north @ A )
=> ( p @ south @ south @ north @ south @ ( take_cabbage @ A ) ) ) )
=> ? [A: $i] : ( p @ north @ north @ north @ north @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ( p @ south @ south @ south @ south @ start )
& ! [A: $i] :
( ( p @ south @ north @ south @ north @ A )
=> ( p @ north @ north @ south @ north @ ( go_alone @ A ) ) )
& ! [A: $i] :
( ( p @ north @ north @ south @ north @ A )
=> ( p @ south @ north @ south @ north @ ( go_alone @ A ) ) )
& ! [A: $i] :
( ( p @ south @ south @ north @ south @ A )
=> ( p @ north @ south @ north @ south @ ( go_alone @ A ) ) )
& ! [A: $i] :
( ( p @ north @ south @ north @ south @ A )
=> ( p @ south @ south @ north @ south @ ( go_alone @ A ) ) )
& ! [A: $i] :
( ( p @ south @ south @ south @ north @ A )
=> ( p @ north @ north @ south @ north @ ( take_wolf @ A ) ) )
& ! [A: $i] :
( ( p @ north @ north @ south @ north @ A )
=> ( p @ south @ south @ south @ north @ ( take_wolf @ A ) ) )
& ! [A: $i] :
( ( p @ south @ south @ north @ south @ A )
=> ( p @ north @ north @ north @ south @ ( take_wolf @ A ) ) )
& ! [A: $i] :
( ( p @ north @ north @ north @ south @ A )
=> ( p @ south @ south @ north @ south @ ( take_wolf @ A ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( p @ south @ A @ south @ B @ C )
=> ( p @ north @ A @ north @ B @ ( take_goat @ C ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( p @ north @ A @ north @ B @ C )
=> ( p @ south @ A @ south @ B @ ( take_goat @ C ) ) )
& ! [A: $i] :
( ( p @ south @ north @ south @ south @ A )
=> ( p @ north @ north @ south @ north @ ( take_cabbage @ A ) ) )
& ! [A: $i] :
( ( p @ north @ north @ south @ north @ A )
=> ( p @ south @ north @ south @ south @ ( take_cabbage @ A ) ) )
& ! [A: $i] :
( ( p @ south @ south @ north @ south @ A )
=> ( p @ north @ south @ north @ north @ ( take_cabbage @ A ) ) )
& ! [A: $i] :
( ( p @ north @ south @ north @ north @ A )
=> ( p @ south @ south @ north @ south @ ( take_cabbage @ A ) ) ) )
=> ? [A: $i] : ( p @ north @ north @ north @ north @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(34,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% 0.16/0.16 % Command : run_Leo-III %s %d
% 0.18/0.38 % Computer : n007.cluster.edu
% 0.18/0.38 % Model : x86_64 x86_64
% 0.18/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.38 % Memory : 8042.1875MB
% 0.18/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.38 % CPULimit : 300
% 0.18/0.38 % WCLimit : 300
% 0.18/0.38 % DateTime : Thu May 18 19:47:09 EDT 2023
% 0.18/0.38 % CPUTime :
% 0.92/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.35/1.05 % [INFO] Parsing done (140ms).
% 1.35/1.06 % [INFO] Running in sequential loop mode.
% 1.73/1.28 % [INFO] eprover registered as external prover.
% 1.73/1.28 % [INFO] cvc4 registered as external prover.
% 1.73/1.29 % [INFO] Scanning for conjecture ...
% 2.01/1.38 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.01/1.42 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.01/1.42 % [INFO] Problem is first-order (TPTP FOF).
% 2.01/1.42 % [INFO] Type checking passed.
% 2.01/1.42 % [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 ...
% 3.15/1.84 % External prover 'e' found a proof!
% 3.15/1.84 % [INFO] Killing All external provers ...
% 3.20/1.84 % Time passed: 1286ms (effective reasoning time: 781ms)
% 3.20/1.84 % 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)>
% 3.20/1.85 % Axioms used in derivation (0):
% 3.20/1.85 % No. of inferences in proof: 4
% 3.20/1.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1286 ms resp. 781 ms w/o parsing
% 3.20/1.92 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.20/1.92 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------