TSTP Solution File: SYN345-1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN345-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n006.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 12:28:27 EDT 2023
% Result : Unsatisfiable 2.76s 1.59s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of formulae : 21 ( 1 unt; 4 typ; 0 def)
% Number of atoms : 49 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 220 ( 24 ~; 32 |; 0 &; 164 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(f_type,type,
f: $i > $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(z_type,type,
z: $i > $i > $i ).
thf(1,negated_conjecture,
! [A: $i] :
( ( f @ a @ b @ A )
| ~ ( f @ a @ a @ b )
| ( f @ a @ b @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
thf(10,plain,
! [A: $i] :
( ( f @ a @ b @ A )
| ~ ( f @ a @ a @ b )
| ( f @ a @ b @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,negated_conjecture,
! [B: $i,A: $i] :
( ( f @ b @ A @ B )
| ( f @ a @ a @ b )
| ~ ( f @ a @ b @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
thf(14,plain,
! [B: $i,A: $i] :
( ( f @ b @ A @ B )
| ( f @ a @ a @ b )
| ~ ( f @ a @ b @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,negated_conjecture,
! [B: $i,A: $i] :
( ( f @ A @ B @ ( z @ A @ B ) )
| ( f @ a @ a @ b )
| ( f @ a @ b @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( f @ A @ B @ ( z @ A @ B ) )
| ( f @ a @ a @ b )
| ( f @ a @ b @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
! [A: $i] :
( ~ ( f @ b @ b @ A )
| ( f @ a @ a @ b )
| ( f @ a @ b @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
thf(13,plain,
! [A: $i] :
( ~ ( f @ b @ b @ A )
| ( f @ a @ a @ b )
| ( f @ a @ b @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( f @ A @ B @ ( z @ B @ A ) )
| ~ ( f @ a @ a @ b )
| ( f @ a @ b @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
thf(12,plain,
! [B: $i,A: $i] :
( ~ ( f @ A @ B @ ( z @ B @ A ) )
| ~ ( f @ a @ a @ b )
| ( f @ a @ b @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( f @ A @ ( z @ A @ B ) @ ( z @ A @ B ) )
| ( f @ a @ a @ b )
| ~ ( f @ a @ b @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
thf(16,plain,
! [B: $i,A: $i] :
( ~ ( f @ A @ ( z @ A @ B ) @ ( z @ A @ B ) )
| ( f @ a @ a @ b )
| ~ ( f @ a @ b @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,negated_conjecture,
! [B: $i,A: $i] :
( ( f @ A @ B @ ( z @ A @ B ) )
| ~ ( f @ a @ a @ b )
| ~ ( f @ a @ b @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( f @ A @ B @ ( z @ A @ B ) )
| ~ ( f @ a @ a @ b )
| ~ ( f @ a @ b @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(8,negated_conjecture,
! [A: $i] :
( ~ ( f @ b @ b @ A )
| ~ ( f @ a @ a @ b )
| ~ ( f @ a @ b @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
thf(15,plain,
! [A: $i] :
( ~ ( f @ b @ b @ A )
| ~ ( f @ a @ a @ b )
| ~ ( f @ a @ b @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(33,plain,
$false,
inference(e,[status(thm)],[10,14,9,13,12,16,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN345-1 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.14 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 19:31:07 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.85/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/0.95 % [INFO] Parsing done (103ms).
% 1.24/0.96 % [INFO] Running in sequential loop mode.
% 1.49/1.14 % [INFO] eprover registered as external prover.
% 1.49/1.15 % [INFO] cvc4 registered as external prover.
% 1.49/1.15 % [INFO] Scanning for conjecture ...
% 1.75/1.21 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.85/1.24 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.85/1.24 % [INFO] Problem is propositional (TPTP CNF).
% 1.85/1.24 % [INFO] Type checking passed.
% 1.85/1.24 % [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 ...
% 2.76/1.54 % External prover 'e' found a proof!
% 2.76/1.55 % [INFO] Killing All external provers ...
% 2.76/1.55 % Time passed: 1024ms (effective reasoning time: 582ms)
% 2.76/1.55 % 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)>
% 2.76/1.55 % Axioms used in derivation (0):
% 2.76/1.55 % No. of inferences in proof: 17
% 2.76/1.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1024 ms resp. 582 ms w/o parsing
% 3.03/1.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.03/1.61 % [INFO] Killing All external provers ...
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