TSTP Solution File: SYN009-4 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : SYN009-4 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 08:27:04 EDT 2024
% Result : Unsatisfiable 2.67s 1.60s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 18
% Syntax : Number of formulae : 28 ( 9 unt; 9 typ; 0 def)
% Number of atoms : 43 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 140 ( 26 ~; 24 |; 0 &; 90 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 30 ( 0 ^ 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_type,type,
p: $i > $i > $i > $o ).
thf(m_type,type,
m: $i > $i > $i > $o ).
thf(q_type,type,
q: $i > $i > $i > $o ).
thf(r_type,type,
r: $i > $i > $i > $o ).
thf(s_type,type,
s: $i > $o ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(c_type,type,
c: $i ).
thf(n_type,type,
n: $i > $i > $i > $o ).
thf(5,negated_conjecture,
s @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(10,plain,
s @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( q @ A @ B @ C )
| ~ ( m @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(14,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( q @ A @ B @ C )
| ~ ( m @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( s @ A )
| ~ ( s @ B )
| ~ ( s @ C )
| ( m @ A @ B @ C )
| ( n @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( s @ A )
| ~ ( s @ B )
| ~ ( s @ C )
| ( m @ A @ B @ C )
| ( n @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( s @ A )
| ~ ( s @ B )
| ~ ( s @ C )
| ( p @ A @ B @ C )
| ( q @ A @ B @ C )
| ( r @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
thf(17,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( s @ A )
| ~ ( s @ B )
| ~ ( s @ C )
| ( p @ A @ B @ C )
| ( q @ A @ B @ C )
| ( r @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,negated_conjecture,
s @ c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(12,plain,
s @ c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,negated_conjecture,
s @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(18,plain,
s @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( r @ A @ B @ C )
| ~ ( m @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(16,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( r @ A @ B @ C )
| ~ ( m @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C )
| ~ ( m @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p @ A @ B @ C )
| ~ ( m @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,negated_conjecture,
~ ( n @ c @ c @ c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(15,plain,
~ ( n @ c @ c @ c ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(25,plain,
$false,
inference(e,[status(thm)],[10,14,13,17,12,18,16,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN009-4 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n016.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 13:42:39 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.90/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.96 % [INFO] Parsing done (110ms).
% 1.19/0.97 % [INFO] Running in sequential loop mode.
% 1.67/1.19 % [INFO] eprover registered as external prover.
% 1.67/1.19 % [INFO] cvc4 registered as external prover.
% 1.67/1.20 % [INFO] Scanning for conjecture ...
% 1.85/1.26 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.91/1.30 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.91/1.30 % [INFO] Problem is propositional (TPTP CNF).
% 1.91/1.30 % [INFO] Type checking passed.
% 1.91/1.30 % [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 ...
% 2.67/1.60 % External prover 'e' found a proof!
% 2.67/1.60 % [INFO] Killing All external provers ...
% 2.67/1.60 % Time passed: 1076ms (effective reasoning time: 624ms)
% 2.67/1.60 % 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)>
% 2.67/1.60 % Axioms used in derivation (0):
% 2.67/1.60 % No. of inferences in proof: 19
% 2.67/1.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1076 ms resp. 624 ms w/o parsing
% 2.67/1.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.67/1.63 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------