%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PUZ038-1 : TPTP v9.0.0. Released v2.4.0.
% 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 : n028.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 08:25:08 PM UTC 2025
% Result : Unsatisfiable 7.84s 2.78s
% Output : CNFRefutation 8.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-12 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ state > v4 > v3 > v2 > v1 > s4 > s3 > s2 > s1 > h > e2 > e1 > bb > #nlpp > s > o
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(h,type,
h: ( $i * $i ) > $i ).
tff(v1,type,
v1: ( $i * $i ) > $i ).
tff(s2,type,
s2: ( $i * $i ) > $i ).
tff(state,type,
state: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(s3,type,
s3: ( $i * $i ) > $i ).
tff(s,type,
s: $i > $i ).
tff(s4,type,
s4: ( $i * $i ) > $i ).
tff(s1,type,
s1: ( $i * $i ) > $i ).
tff(v3,type,
v3: ( $i * $i ) > $i ).
tff(bb,type,
bb: ( $i * $i ) > $i ).
tff(v2,type,
v2: ( $i * $i ) > $i ).
tff(v4,type,
v4: ( $i * $i ) > $i ).
tff(e1,type,
e1: ( $i * $i ) > $i ).
tff(e2,type,
e2: ( $i * $i ) > $i ).
tff(o,type,
o: $i ).
tff(f_259,axiom,
! [E2,S1,H,E1,B,S4,S3,V1,V2,V4,S2] : ~ state(B,V1,V2,v3(s(s(s(o))),o),V4,H,S1,S2,S3,S4,E1,E2),
file(unknown,unknown) ).
tff(f_256,axiom,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
file(unknown,unknown) ).
tff(f_183,axiom,
! [E2,S1,H,B,S4,S3,V1,X,Y,V2,V4,S2] :
( ~ state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)
| state(B,V1,V2,v3(s(X),Y),V4,H,S1,S2,S3,S4,e1(X,Y),E2) ),
file(unknown,unknown) ).
tff(c_86,plain,
! [V2_489,H_483,S3_487,E1_484,V1_488,E2_481,S1_482,S4_486,B_485,V4_490,S2_491] : ~ state(B_485,V1_488,V2_489,v3(s(s(s(o))),o),V4_490,H_483,S1_482,S2_491,S3_487,S4_486,E1_484,E2_481),
inference(cnfTransformation,[status(thm)],[f_259]) ).
tff(c_84,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(cnfTransformation,[status(thm)],[f_256]) ).
tff(c_54,plain,
! [S2_318,H_309,S4_311,V4_317,X_314,S1_308,Y_315,B_310,S3_312,V2_316,V1_313,E2_307] :
( state(B_310,V1_313,V2_316,v3(s(X_314),Y_315),V4_317,H_309,S1_308,S2_318,S3_312,S4_311,e1(X_314,Y_315),E2_307)
| ~ state(B_310,V1_313,V2_316,v3(X_314,Y_315),V4_317,H_309,S1_308,S2_318,S3_312,S4_311,e1(s(s(X_314)),Y_315),E2_307) ),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_5141,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(resolution,[status(thm)],[c_84,c_54]) ).
tff(c_5150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_5141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ038-1 : TPTP v9.0.0. Released v2.4.0.
% 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 : n028.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 : Tue Apr 8 17:13:19 EDT 2025
% 0.14/0.34 % CPUTime :
% 7.84/2.78 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.84/2.78
% 7.84/2.78 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------