TSTP Solution File: COL001-1 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : COL001-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% 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 : Mon Jun 24 04:48:39 EDT 2024
% Result : Unsatisfiable 3.15s 2.15s
% Output : Refutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 11 ( 7 unt; 4 typ; 0 def)
% Number of atoms : 7 ( 6 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 38 ( 2 ~; 0 |; 0 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 ^ 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(apply_type,type,
apply: $i > $i > $i ).
thf(combinator_type,type,
combinator: $i ).
thf(s_type,type,
s: $i ).
thf(k_type,type,
k: $i ).
thf(1,negated_conjecture,
! [A: $i] :
( A
!= ( apply @ combinator @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
thf(4,plain,
! [A: $i] :
( A
!= ( apply @ combinator @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( apply @ ( apply @ ( apply @ s @ A ) @ B ) @ C )
= ( apply @ ( apply @ A @ C ) @ ( apply @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_definition) ).
thf(7,plain,
! [C: $i,B: $i,A: $i] :
( ( apply @ ( apply @ ( apply @ s @ A ) @ B ) @ C )
= ( apply @ ( apply @ A @ C ) @ ( apply @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( apply @ ( apply @ k @ A ) @ B )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( apply @ ( apply @ k @ A ) @ B )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(19,plain,
$false,
inference(e,[status(thm)],[4,7,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : COL001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.10 % Command : run_Leo-III %s %d THM
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Jun 18 16:30:10 EDT 2024
% 0.10/0.31 % CPUTime :
% 1.04/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.13/1.12 % [INFO] Parsing done (153ms).
% 1.37/1.14 % [INFO] Running in sequential loop mode.
% 1.75/1.50 % [INFO] eprover registered as external prover.
% 1.75/1.51 % [INFO] Scanning for conjecture ...
% 2.06/1.58 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.06/1.62 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.06/1.63 % [INFO] Problem is propositional (TPTP CNF).
% 2.06/1.63 % [INFO] Type checking passed.
% 2.06/1.63 % [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 ...
% 3.15/2.15 % External prover 'e' found a proof!
% 3.15/2.15 % [INFO] Killing All external provers ...
% 3.15/2.15 % Time passed: 1662ms (effective reasoning time: 1004ms)
% 3.15/2.15 % Axioms used in derivation (2): s_definition, k_definition
% 3.15/2.15 % No. of inferences in proof: 7
% 3.15/2.15 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1662 ms resp. 1004 ms w/o parsing
% 3.15/2.19 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.15/2.19 % [INFO] Killing All external provers ...
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