TSTP Solution File: COM009-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : COM009-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.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 10:13:52 EDT 2023
% Result : Unsatisfiable 3.35s 1.71s
% Output : Refutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of formulae : 13 ( 3 unt; 4 typ; 0 def)
% Number of atoms : 15 ( 6 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 44 ( 6 ~; 6 |; 0 &; 32 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_UNITY_Ototalize_type,type,
c_UNITY_Ototalize: $i > $i > $i ).
thf(v_F_type,type,
v_F: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(c_UNITY_Oall__total_type,type,
c_UNITY_Oall__total: $i > $i > $o ).
thf(1,negated_conjecture,
( ( ( c_UNITY_Ototalize @ v_F @ t_a )
!= v_F )
| ~ ( c_UNITY_Oall__total @ v_F @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(5,plain,
( ( ( c_UNITY_Ototalize @ v_F @ t_a )
!= v_F )
| ~ ( c_UNITY_Oall__total @ v_F @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
( ( c_UNITY_Oall__total @ v_F @ t_a )
| ( ( c_UNITY_Ototalize @ v_F @ t_a )
= v_F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(6,plain,
( ( c_UNITY_Oall__total @ v_F @ t_a )
| ( ( c_UNITY_Ototalize @ v_F @ t_a )
= v_F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ~ ( c_UNITY_Oall__total @ A @ B )
| ( ( c_UNITY_Ototalize @ A @ B )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oall__total__imp__totalize_0) ).
thf(11,plain,
! [B: $i,A: $i] :
( ~ ( c_UNITY_Oall__total @ A @ B )
| ( ( c_UNITY_Ototalize @ A @ B )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [B: $i,A: $i] : ( c_UNITY_Oall__total @ ( c_UNITY_Ototalize @ A @ B ) @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oall__total__totalize_0) ).
thf(14,plain,
! [B: $i,A: $i] : ( c_UNITY_Oall__total @ ( c_UNITY_Ototalize @ A @ B ) @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(18,plain,
$false,
inference(e,[status(thm)],[5,6,11,14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM009-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 19 03:33:44 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.84/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.90/1.09 % [INFO] Parsing done (247ms).
% 1.90/1.10 % [INFO] Running in sequential loop mode.
% 2.28/1.29 % [INFO] eprover registered as external prover.
% 2.28/1.29 % [INFO] cvc4 registered as external prover.
% 2.28/1.30 % [INFO] Scanning for conjecture ...
% 2.82/1.40 % [INFO] Found a conjecture and 1369 axioms. Running axiom selection ...
% 2.82/1.44 % [INFO] Axiom selection finished. Selected 2 axioms (removed 1367 axioms).
% 2.82/1.44 % [INFO] Problem is propositional (TPTP CNF).
% 2.82/1.45 % [INFO] Type checking passed.
% 2.82/1.45 % [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 ...
% 3.35/1.71 % External prover 'e' found a proof!
% 3.35/1.71 % [INFO] Killing All external provers ...
% 3.35/1.71 % Time passed: 1191ms (effective reasoning time: 609ms)
% 3.35/1.71 % 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)>
% 3.35/1.71 % Axioms used in derivation (2): cls_UNITY_Oall__total__imp__totalize_0, cls_UNITY_Oall__total__totalize_0
% 3.35/1.71 % No. of inferences in proof: 9
% 3.35/1.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1191 ms resp. 609 ms w/o parsing
% 3.97/1.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.97/1.79 % [INFO] Killing All external provers ...
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