%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYO899_8 : TPTP v9.0.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n010.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 : Wed Apr 9 10:38:31 PM UTC 2025
% Result : Theorem 2.76s 1.67s
% Output : CNFRefutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 20 ( 8 ~; 5 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 6 ( 6 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 10 ( 8 !; 2 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
%$ q > p > #nlpp > #skF_1
%Foreground sorts:
tff($ki_world,type,
$ki_world: $tType ).
%Background operators:
%Foreground operators:
tff(p,type,
p: $ki_world > $o ).
tff(q,type,
q: $ki_world > $o ).
tff('#skF_1',type,
'#skF_1': $ki_world ).
tff(f_50,negated_conjecture,
~ ( ? [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
& ( p(W)
=> ! [W0: $ki_world] :
( $ki_accessible(W,W0)
=> q(W0) ) ) )
=> ( ! [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
=> p(W) )
=> ? [W: $ki_world] :
( $ki_accessible($ki_local_world,W)
& q(W) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f_30,axiom,
! [W: $ki_world] : $ki_accessible(W,W),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(c_10,plain,
$ki_accessible($ki_local_world,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_12,plain,
! [W_7: $ki_world] :
( ~ q(W_7)
| ~ $ki_accessible($ki_local_world,W_7) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_21,plain,
~ q('#skF_1'),
inference(resolution,[status(thm)],[c_10,c_12]) ).
tff(c_2,plain,
! [W_1: $ki_world] : $ki_accessible(W_1,W_1),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_22,plain,
! [W_8: $ki_world] :
( p(W_8)
| ~ $ki_accessible($ki_local_world,W_8) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_31,plain,
p('#skF_1'),
inference(resolution,[status(thm)],[c_10,c_22]) ).
tff(c_8,plain,
! [W0_3: $ki_world] :
( q(W0_3)
| ~ $ki_accessible('#skF_1',W0_3)
| ~ p('#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_34,plain,
! [W0_9: $ki_world] :
( q(W0_9)
| ~ $ki_accessible('#skF_1',W0_9) ),
inference(demodulation,[status(thm),theory(equality)],[c_31,c_8]) ).
tff(c_38,plain,
q('#skF_1'),
inference(resolution,[status(thm)],[c_2,c_34]) ).
tff(c_42,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21,c_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO899_8 : TPTP v9.0.0. Released v8.2.0.
% 0.11/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Apr 9 10:24:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 2.76/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.76/1.67
% 2.76/1.67 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------