TSTP Solution File: PUZ063-2 by Leo-III---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : PUZ063-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 08:03:44 EDT 2024
% Result : Unsatisfiable 2.24s 1.41s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of formulae : 15 ( 7 unt; 8 typ; 0 def)
% Number of atoms : 7 ( 2 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 38 ( 2 ~; 0 |; 0 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 4 ( 0 ^ 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(v_u_type,type,
v_u: $i ).
thf(c_Mutil_Otiling_type,type,
c_Mutil_Otiling: $i > $i > $i ).
thf(v_A_type,type,
v_A: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(tc_set_type,type,
tc_set: $i > $i ).
thf(c_union_type,type,
c_union: $i > $i > $i > $i ).
thf(c_emptyset_type,type,
c_emptyset: $i ).
thf(1,negated_conjecture,
c_in @ v_u @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(4,plain,
c_in @ v_u @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
~ ( c_in @ ( c_union @ c_emptyset @ v_u @ t_a ) @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(5,plain,
~ ( c_in @ ( c_union @ c_emptyset @ v_u @ t_a ) @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( c_union @ c_emptyset @ A @ B )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).
thf(7,plain,
! [B: $i,A: $i] :
( ( c_union @ c_emptyset @ A @ B )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(12,plain,
$false,
inference(e,[status(thm)],[4,5,7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ063-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n014.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 : Mon May 6 13:42:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.87/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.15/0.90 % [INFO] Parsing done (112ms).
% 1.15/0.90 % [INFO] Running in sequential loop mode.
% 1.47/1.09 % [INFO] eprover registered as external prover.
% 1.47/1.09 % [INFO] cvc4 registered as external prover.
% 1.47/1.10 % [INFO] Scanning for conjecture ...
% 1.47/1.14 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.47/1.16 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.47/1.17 % [INFO] Problem is propositional (TPTP CNF).
% 1.47/1.17 % [INFO] Type checking passed.
% 1.47/1.17 % [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 ...
% 2.24/1.41 % External prover 'e' found a proof!
% 2.24/1.41 % [INFO] Killing All external provers ...
% 2.24/1.41 % Time passed: 954ms (effective reasoning time: 506ms)
% 2.24/1.41 % 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)>
% 2.24/1.41 % Axioms used in derivation (1): cls_Set_OUn__empty__left_0
% 2.24/1.41 % No. of inferences in proof: 7
% 2.24/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 954 ms resp. 506 ms w/o parsing
% 2.24/1.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.24/1.43 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------