%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN728-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n012.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 10:04:18 PM UTC 2025
% Result : Unsatisfiable 2.46s 1.55s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p > q > m > f > #nlpp > sk1 > g > sk2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk1,type,
sk1: $i > $i ).
tff(sk2,type,
sk2: $i ).
tff(m,type,
m: $i > $o ).
tff(q,type,
q: $i > $o ).
tff(g,type,
g: $i > $i ).
tff(p,type,
p: ( $i * $i ) > $o ).
tff(f,type,
f: ( $i * $i ) > $i ).
tff(f_26,axiom,
! [C,A,B] :
( p(C,C)
| ~ p(A,B) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [A] :
( m(A)
| p(A,sk1(A)) ),
file(unknown,unknown) ).
tff(f_40,axiom,
! [A] :
( ~ m(g(A))
| ~ q(A) ),
file(unknown,unknown) ).
tff(f_34,axiom,
! [A] :
( q(f(A,sk1(A)))
| p(A,sk1(A)) ),
file(unknown,unknown) ).
tff(f_46,axiom,
! [A] :
( ~ p(sk2,sk2)
| ~ p(g(sk2),A) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [A_2,B_3,C_1] :
( ~ p(A_2,B_3)
| p(C_1,C_1) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_12,plain,
! [A_2,B_3] : ~ p(A_2,B_3),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_4,plain,
! [A_4] :
( p(A_4,sk1(A_4))
| m(A_4) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_14,plain,
! [A_4] : m(A_4),
inference(negUnitSimplification,[status(thm)],[c_12,c_4]) ).
tff(c_8,plain,
! [A_6] :
( ~ q(A_6)
| ~ m(g(A_6)) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_16,plain,
! [A_6] : ~ q(A_6),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_8]) ).
tff(c_6,plain,
! [A_5] :
( p(A_5,sk1(A_5))
| q(f(A_5,sk1(A_5))) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_19,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_12,c_6]) ).
tff(c_20,plain,
! [C_1] : p(C_1,C_1),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_10,plain,
! [A_7] :
( ~ p(g(sk2),A_7)
| ~ p(sk2,sk2) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_25,plain,
! [A_15] : ~ p(g(sk2),A_15),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_10]) ).
tff(c_35,plain,
$false,
inference(resolution,[status(thm)],[c_20,c_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN728-1 : TPTP v9.0.0. Released v2.5.0.
% 0.12/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 08:12:59 EDT 2025
% 0.18/0.34 % CPUTime :
% 2.46/1.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.46/1.56
% 2.46/1.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------