TSTP Solution File: COL064-10 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : COL064-10 : TPTP v8.2.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 May 20 19:04:31 EDT 2024
% Result : Unsatisfiable 23.26s 4.56s
% Output : Refutation 23.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 21 unt; 6 typ; 0 def)
% Number of atoms : 33 ( 32 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 522 ( 26 ~; 6 |; 0 &; 490 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 29 ( 0 ^ 29 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(apply_type,type,
apply: $i > $i > $i ).
thf(b_type,type,
b: $i ).
thf(t_type,type,
t: $i ).
thf(x_type,type,
x: $i ).
thf(y_type,type,
y: $i ).
thf(z_type,type,
z: $i ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( apply @ ( apply @ t @ A ) @ B )
= ( apply @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( apply @ ( apply @ t @ A ) @ B )
= ( apply @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,plain,
! [B: $i,A: $i] :
( ( apply @ ( apply @ t @ A ) @ B )
= ( apply @ B @ A ) ),
inference(lifteq,[status(thm)],[9]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( apply @ ( apply @ ( apply @ b @ A ) @ B ) @ C )
= ( apply @ A @ ( apply @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
thf(7,plain,
! [C: $i,B: $i,A: $i] :
( ( apply @ ( apply @ ( apply @ b @ A ) @ B ) @ C )
= ( apply @ A @ ( apply @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,plain,
! [C: $i,B: $i,A: $i] :
( ( apply @ ( apply @ ( apply @ b @ A ) @ B ) @ C )
= ( apply @ A @ ( apply @ B @ C ) ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(1,negated_conjecture,
( ( apply @ ( apply @ ( apply @ ( apply @ ( apply @ b @ ( apply @ ( apply @ b @ ( apply @ t @ ( apply @ ( apply @ b @ b ) @ t ) ) ) @ ( apply @ ( apply @ b @ b ) @ t ) ) ) @ t ) @ x ) @ y ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_combinator) ).
thf(4,plain,
( ( apply @ ( apply @ ( apply @ ( apply @ ( apply @ b @ ( apply @ ( apply @ b @ ( apply @ t @ ( apply @ ( apply @ b @ b ) @ t ) ) ) @ ( apply @ ( apply @ b @ b ) @ t ) ) ) @ t ) @ x ) @ y ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,plain,
( ( apply @ ( apply @ ( apply @ ( apply @ ( apply @ b @ ( apply @ ( apply @ b @ ( apply @ t @ ( apply @ ( apply @ b @ b ) @ t ) ) ) @ ( apply @ ( apply @ b @ b ) @ t ) ) ) @ t ) @ x ) @ y ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( apply @ ( apply @ ( apply @ ( apply @ ( apply @ b @ ( apply @ ( apply @ b @ ( apply @ t @ ( apply @ ( apply @ b @ b ) @ t ) ) ) @ ( apply @ ( apply @ b @ b ) @ t ) ) ) @ t ) @ x ) @ y ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(158,plain,
( ( apply @ ( apply @ ( apply @ ( apply @ ( apply @ b @ ( apply @ t @ ( apply @ ( apply @ b @ b ) @ t ) ) ) @ ( apply @ ( apply @ b @ b ) @ t ) ) @ ( apply @ t @ x ) ) @ y ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) ),
inference(rewrite,[status(thm)],[6,8]) ).
thf(166,plain,
! [C: $i,B: $i,A: $i] :
( ( ( apply @ ( apply @ ( apply @ A @ ( apply @ B @ C ) ) @ y ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) )
| ( ( apply @ ( apply @ ( apply @ b @ A ) @ B ) @ C )
!= ( apply @ ( apply @ ( apply @ b @ ( apply @ t @ ( apply @ ( apply @ b @ b ) @ t ) ) ) @ ( apply @ ( apply @ b @ b ) @ t ) ) @ ( apply @ t @ x ) ) ) ),
inference(paramod_ordered,[status(thm)],[8,158]) ).
thf(167,plain,
( ( apply @ ( apply @ ( apply @ ( apply @ t @ ( apply @ ( apply @ b @ b ) @ t ) ) @ ( apply @ ( apply @ ( apply @ b @ b ) @ t ) @ ( apply @ t @ x ) ) ) @ y ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) ),
inference(pattern_uni,[status(thm)],[166:[bind(A,$thf( apply @ t @ ( apply @ ( apply @ b @ b ) @ t ) )),bind(B,$thf( apply @ ( apply @ b @ b ) @ t )),bind(C,$thf( apply @ t @ x ))]]) ).
thf(1014,plain,
( ( apply @ ( apply @ ( apply @ ( apply @ t @ ( apply @ ( apply @ b @ b ) @ t ) ) @ ( apply @ b @ ( apply @ t @ ( apply @ t @ x ) ) ) ) @ y ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) ),
inference(rewrite,[status(thm)],[167,8]) ).
thf(1023,plain,
! [B: $i,A: $i] :
( ( ( apply @ ( apply @ ( apply @ B @ A ) @ y ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) )
| ( ( apply @ ( apply @ t @ A ) @ B )
!= ( apply @ ( apply @ t @ ( apply @ ( apply @ b @ b ) @ t ) ) @ ( apply @ b @ ( apply @ t @ ( apply @ t @ x ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[10,1014]) ).
thf(1024,plain,
( ( apply @ ( apply @ ( apply @ ( apply @ b @ ( apply @ t @ ( apply @ t @ x ) ) ) @ ( apply @ ( apply @ b @ b ) @ t ) ) @ y ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) ),
inference(pattern_uni,[status(thm)],[1023:[bind(A,$thf( apply @ ( apply @ b @ b ) @ t )),bind(B,$thf( apply @ b @ ( apply @ t @ ( apply @ t @ x ) ) ))]]) ).
thf(1256,plain,
( ( apply @ ( apply @ ( apply @ t @ ( apply @ t @ x ) ) @ ( apply @ ( apply @ ( apply @ b @ b ) @ t ) @ y ) ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) ),
inference(rewrite,[status(thm)],[1024,8]) ).
thf(1294,plain,
! [C: $i,B: $i,A: $i] :
( ( ( apply @ ( apply @ ( apply @ t @ ( apply @ t @ x ) ) @ ( apply @ A @ ( apply @ B @ C ) ) ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) )
| ( ( apply @ ( apply @ ( apply @ b @ A ) @ B ) @ C )
!= ( apply @ ( apply @ ( apply @ b @ b ) @ t ) @ y ) ) ),
inference(paramod_ordered,[status(thm)],[8,1256]) ).
thf(1295,plain,
( ( apply @ ( apply @ ( apply @ t @ ( apply @ t @ x ) ) @ ( apply @ b @ ( apply @ t @ y ) ) ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) ),
inference(pattern_uni,[status(thm)],[1294:[bind(A,$thf( b )),bind(B,$thf( t )),bind(C,$thf( y ))]]) ).
thf(1444,plain,
! [B: $i,A: $i] :
( ( ( apply @ ( apply @ B @ A ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) )
| ( ( apply @ ( apply @ t @ A ) @ B )
!= ( apply @ ( apply @ t @ ( apply @ t @ x ) ) @ ( apply @ b @ ( apply @ t @ y ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[10,1295]) ).
thf(1445,plain,
( ( apply @ ( apply @ ( apply @ b @ ( apply @ t @ y ) ) @ ( apply @ t @ x ) ) @ z )
!= ( apply @ ( apply @ z @ x ) @ y ) ),
inference(pattern_uni,[status(thm)],[1444:[bind(A,$thf( apply @ t @ x )),bind(B,$thf( apply @ b @ ( apply @ t @ y ) ))]]) ).
thf(1602,plain,
( ( apply @ ( apply @ z @ x ) @ y )
!= ( apply @ ( apply @ t @ y ) @ ( apply @ ( apply @ t @ x ) @ z ) ) ),
inference(rewrite,[status(thm)],[1445,8]) ).
thf(1607,plain,
! [B: $i,A: $i] :
( ( ( apply @ ( apply @ t @ A ) @ B )
!= ( apply @ ( apply @ t @ y ) @ ( apply @ ( apply @ t @ x ) @ z ) ) )
| ( ( apply @ B @ A )
!= ( apply @ ( apply @ z @ x ) @ y ) ) ),
inference(paramod_ordered,[status(thm)],[10,1602]) ).
thf(1608,plain,
( ( apply @ ( apply @ t @ y ) @ ( apply @ ( apply @ t @ x ) @ z ) )
!= ( apply @ ( apply @ t @ y ) @ ( apply @ z @ x ) ) ),
inference(pattern_uni,[status(thm)],[1607:[bind(A,$thf( y )),bind(B,$thf( apply @ z @ x ))]]) ).
thf(3664,plain,
! [B: $i,A: $i] :
( ( ( apply @ ( apply @ t @ y ) @ ( apply @ B @ A ) )
!= ( apply @ ( apply @ t @ y ) @ ( apply @ z @ x ) ) )
| ( ( apply @ ( apply @ t @ A ) @ B )
!= ( apply @ ( apply @ t @ x ) @ z ) ) ),
inference(paramod_ordered,[status(thm)],[10,1608]) ).
thf(3665,plain,
( ( apply @ ( apply @ t @ y ) @ ( apply @ z @ x ) )
!= ( apply @ ( apply @ t @ y ) @ ( apply @ z @ x ) ) ),
inference(pattern_uni,[status(thm)],[3664:[bind(A,$thf( x )),bind(B,$thf( z ))]]) ).
thf(3786,plain,
$false,
inference(simp,[status(thm)],[3665]) ).
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL064-10 : TPTP v8.2.0. Bugfixed v1.2.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n005.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat May 18 13:04:24 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.93/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.97 % [INFO] Parsing done (99ms).
% 1.23/0.97 % [INFO] Running in sequential loop mode.
% 1.60/1.19 % [INFO] nitpick registered as external prover.
% 1.72/1.19 % [INFO] Scanning for conjecture ...
% 1.84/1.25 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 1.84/1.27 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.84/1.27 % [INFO] Problem is propositional (TPTP CNF).
% 1.84/1.28 % [INFO] Type checking passed.
% 1.84/1.28 % [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 ...
% 23.26/4.54 % [INFO] Killing All external provers ...
% 23.26/4.54 % Time passed: 4008ms (effective reasoning time: 3563ms)
% 23.26/4.54 % Axioms used in derivation (2): t_definition, b_definition
% 23.26/4.54 % No. of inferences in proof: 27
% 23.26/4.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4008 ms resp. 3563 ms w/o parsing
% 23.26/4.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 23.26/4.65 % [INFO] Killing All external provers ...
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