TSTP Solution File: SYO043^1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO043^1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 21 08:59:05 EDT 2024
% Result : Unsatisfiable 2.65s 1.64s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 3 typ; 0 def)
% Number of atoms : 81 ( 6 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 67 ( 15 ~; 4 |; 4 &; 44 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
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thf(f_type,type,
f: $o > $o ).
thf(q_type,type,
q: ( $o > $o ) > $o > $o ).
thf(x_type,type,
x: $o ).
thf(1,axiom,
( ( q @ f @ x )
& ( f @ ( f @ x ) )
& ( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',5) ).
thf(2,plain,
( ( q @ f @ x )
& ( f @ ( f @ x ) )
& ( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,plain,
f @ ( f @ x ),
inference(cnf,[status(esa)],[2]) ).
thf(3,plain,
( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ),
inference(cnf,[status(esa)],[2]) ).
thf(6,plain,
( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ),
inference(lifteq,[status(thm)],[3]) ).
thf(5,plain,
q @ f @ x,
inference(cnf,[status(esa)],[2]) ).
thf(9,plain,
( ( f @ x )
!= ( f @ $true ) ),
inference(rewrite,[status(thm)],[6,5]) ).
thf(10,plain,
~ x,
inference(simp,[status(thm)],[9]) ).
thf(15,plain,
f @ ( f @ $false ),
inference(rewrite,[status(thm)],[4,10]) ).
thf(11,plain,
( ~ ( f @ x )
| ~ ( f @ $true ) ),
inference(bool_ext,[status(thm)],[9]) ).
thf(18,plain,
( ~ ( f @ $false )
| ~ ( f @ $true ) ),
inference(rewrite,[status(thm)],[11,10]) ).
thf(27,plain,
( ~ ( f @ $false )
| ( ( f @ ( f @ $false ) )
!= ( f @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[15,18]) ).
thf(31,plain,
( ~ ( f @ $false )
| ~ ( f @ $false ) ),
inference(simp,[status(thm)],[27]) ).
thf(33,plain,
~ ( f @ $false ),
inference(simp,[status(thm)],[31]) ).
thf(35,plain,
f @ $false,
inference(rewrite,[status(thm)],[15,33]) ).
thf(39,plain,
$false,
inference(rewrite,[status(thm)],[35,33]) ).
thf(40,plain,
$false,
inference(simp,[status(thm)],[39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO043^1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n011.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 20 08:54:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 1.01/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/1.04 % [INFO] Parsing done (115ms).
% 1.22/1.05 % [INFO] Running in sequential loop mode.
% 1.65/1.27 % [INFO] nitpick registered as external prover.
% 1.65/1.27 % [INFO] Scanning for conjecture ...
% 1.65/1.30 % [INFO] 1 axioms and no conjecture found.
% 1.65/1.31 % [INFO] Problem is higher-order (TPTP THF).
% 1.65/1.32 % [INFO] Type checking passed.
% 1.65/1.32 % [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 ...
% 2.65/1.63 % [INFO] Killing All external provers ...
% 2.65/1.63 % Time passed: 1106ms (effective reasoning time: 582ms)
% 2.65/1.64 % Axioms used in derivation (1): 5
% 2.65/1.64 % No. of inferences in proof: 17
% 2.65/1.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1106 ms resp. 582 ms w/o parsing
% 2.65/1.66 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.65/1.66 % [INFO] Killing All external provers ...
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