%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : COL100-1 : TPTP v9.0.0. Released v2.7.0.
% 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 : n025.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 05:48:03 PM UTC 2025
% Result : Unsatisfiable 14.88s 6.40s
% Output : CNFRefutation 14.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 105 ( 56 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 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 : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 60 ( 60 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ member > trans > diamond > diamond_strip_lemmaD_sk1 > pair > comb_app > #nlpp > trancl > sk1 > z > yp > ya > y > r > combS > combK
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(yp,type,
yp: $i ).
tff(sk1,type,
sk1: $i > $i ).
tff(r,type,
r: $i ).
tff(diamond_strip_lemmaD_sk1,type,
diamond_strip_lemmaD_sk1: ( $i * $i * $i * $i ) > $i ).
tff(diamond,type,
diamond: $i > $o ).
tff(comb_app,type,
comb_app: ( $i * $i ) > $i ).
tff(trans,type,
trans: $i > $o ).
tff(trancl,type,
trancl: $i > $i ).
tff(y,type,
y: $i ).
tff(combS,type,
combS: $i ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff(ya,type,
ya: $i ).
tff(pair,type,
pair: ( $i * $i ) > $i ).
tff(z,type,
z: $i ).
tff(combK,type,
combK: $i ).
tff(f_104,axiom,
member(pair(y,yp),trancl(r)),
file(unknown,unknown) ).
tff(f_93,axiom,
member(pair(ya,z),r),
file(unknown,unknown) ).
tff(f_98,axiom,
! [YP] :
( ~ member(pair(y,YP),trancl(r))
| member(pair(ya,sk1(YP)),trancl(r)) ),
file(unknown,unknown) ).
tff(f_91,axiom,
diamond(r),
file(unknown,unknown) ).
tff(f_90,axiom,
! [R,X,Y,YP] :
( ~ diamond(R)
| ~ member(pair(X,Y),trancl(R))
| ~ member(pair(X,YP),R)
| member(pair(Y,diamond_strip_lemmaD_sk1(X,Y,YP,R)),R) ),
file(unknown,unknown) ).
tff(f_103,axiom,
! [YP] :
( ~ member(pair(y,YP),trancl(r))
| member(pair(YP,sk1(YP)),trancl(r)) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [R] : trans(trancl(R)),
file(unknown,unknown) ).
tff(f_55,axiom,
! [A,B,R] :
( ~ member(pair(A,B),R)
| member(pair(A,B),trancl(R)) ),
file(unknown,unknown) ).
tff(f_68,axiom,
! [R,A,B,C] :
( ~ trans(R)
| ~ member(pair(A,B),R)
| ~ member(pair(B,C),R)
| member(pair(A,C),R) ),
file(unknown,unknown) ).
tff(f_79,axiom,
! [R,X,Y,YP] :
( ~ diamond(R)
| ~ member(pair(X,Y),trancl(R))
| ~ member(pair(X,YP),R)
| member(pair(YP,diamond_strip_lemmaD_sk1(X,Y,YP,R)),trancl(R)) ),
file(unknown,unknown) ).
tff(f_110,axiom,
! [ZA] :
( ~ member(pair(z,ZA),trancl(r))
| ~ member(pair(yp,ZA),trancl(r)) ),
file(unknown,unknown) ).
tff(c_35,plain,
member(pair(y,yp),trancl(r)),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_29,plain,
member(pair(ya,z),r),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_31,plain,
! [YP_33] :
( member(pair(ya,sk1(YP_33)),trancl(r))
| ~ member(pair(y,YP_33),trancl(r)) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_25,plain,
diamond(r),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_23,plain,
! [Y_31,X_30,YP_32,R_29] :
( member(pair(Y_31,diamond_strip_lemmaD_sk1(X_30,Y_31,YP_32,R_29)),R_29)
| ~ member(pair(X_30,YP_32),R_29)
| ~ member(pair(X_30,Y_31),trancl(R_29))
| ~ diamond(R_29) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_33,plain,
! [YP_34] :
( member(pair(YP_34,sk1(YP_34)),trancl(r))
| ~ member(pair(y,YP_34),trancl(r)) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_17,plain,
! [R_20] : trans(trancl(R_20)),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_15,plain,
! [A_17,B_18,R_19] :
( member(pair(A_17,B_18),trancl(R_19))
| ~ member(pair(A_17,B_18),R_19) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_276,plain,
! [A_79,C_80,R_81,B_82] :
( member(pair(A_79,C_80),R_81)
| ~ member(pair(B_82,C_80),R_81)
| ~ member(pair(A_79,B_82),R_81)
| ~ trans(R_81) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_282,plain,
! [A_79,B_18,R_19,A_17] :
( member(pair(A_79,B_18),trancl(R_19))
| ~ member(pair(A_79,A_17),trancl(R_19))
| ~ trans(trancl(R_19))
| ~ member(pair(A_17,B_18),R_19) ),
inference(resolution,[status(thm)],[c_15,c_276]) ).
tff(c_414,plain,
! [A_94,B_95,R_96,A_97] :
( member(pair(A_94,B_95),trancl(R_96))
| ~ member(pair(A_94,A_97),trancl(R_96))
| ~ member(pair(A_97,B_95),R_96) ),
inference(demodulation,[status(thm),theory(equality)],[c_17,c_282]) ).
tff(c_989,plain,
! [YP_137,B_138] :
( member(pair(YP_137,B_138),trancl(r))
| ~ member(pair(sk1(YP_137),B_138),r)
| ~ member(pair(y,YP_137),trancl(r)) ),
inference(resolution,[status(thm)],[c_33,c_414]) ).
tff(c_993,plain,
! [YP_137,X_30,YP_32] :
( member(pair(YP_137,diamond_strip_lemmaD_sk1(X_30,sk1(YP_137),YP_32,r)),trancl(r))
| ~ member(pair(y,YP_137),trancl(r))
| ~ member(pair(X_30,YP_32),r)
| ~ member(pair(X_30,sk1(YP_137)),trancl(r))
| ~ diamond(r) ),
inference(resolution,[status(thm)],[c_23,c_989]) ).
tff(c_22531,plain,
! [YP_833,X_834,YP_835] :
( member(pair(YP_833,diamond_strip_lemmaD_sk1(X_834,sk1(YP_833),YP_835,r)),trancl(r))
| ~ member(pair(y,YP_833),trancl(r))
| ~ member(pair(X_834,YP_835),r)
| ~ member(pair(X_834,sk1(YP_833)),trancl(r)) ),
inference(demodulation,[status(thm),theory(equality)],[c_25,c_993]) ).
tff(c_357,plain,
! [YP_88,X_89,Y_90,R_91] :
( member(pair(YP_88,diamond_strip_lemmaD_sk1(X_89,Y_90,YP_88,R_91)),trancl(R_91))
| ~ member(pair(X_89,YP_88),R_91)
| ~ member(pair(X_89,Y_90),trancl(R_91))
| ~ diamond(R_91) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_37,plain,
! [ZA_35] :
( ~ member(pair(yp,ZA_35),trancl(r))
| ~ member(pair(z,ZA_35),trancl(r)) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_367,plain,
! [X_89,Y_90] :
( ~ member(pair(yp,diamond_strip_lemmaD_sk1(X_89,Y_90,z,r)),trancl(r))
| ~ member(pair(X_89,z),r)
| ~ member(pair(X_89,Y_90),trancl(r))
| ~ diamond(r) ),
inference(resolution,[status(thm)],[c_357,c_37]) ).
tff(c_376,plain,
! [X_89,Y_90] :
( ~ member(pair(yp,diamond_strip_lemmaD_sk1(X_89,Y_90,z,r)),trancl(r))
| ~ member(pair(X_89,z),r)
| ~ member(pair(X_89,Y_90),trancl(r)) ),
inference(demodulation,[status(thm),theory(equality)],[c_25,c_367]) ).
tff(c_22695,plain,
! [X_834] :
( ~ member(pair(y,yp),trancl(r))
| ~ member(pair(X_834,z),r)
| ~ member(pair(X_834,sk1(yp)),trancl(r)) ),
inference(resolution,[status(thm)],[c_22531,c_376]) ).
tff(c_22809,plain,
! [X_836] :
( ~ member(pair(X_836,z),r)
| ~ member(pair(X_836,sk1(yp)),trancl(r)) ),
inference(demodulation,[status(thm),theory(equality)],[c_35,c_22695]) ).
tff(c_22884,plain,
( ~ member(pair(ya,z),r)
| ~ member(pair(y,yp),trancl(r)) ),
inference(resolution,[status(thm)],[c_31,c_22809]) ).
tff(c_22930,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35,c_29,c_22884]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : COL100-1 : TPTP v9.0.0. Released v2.7.0.
% 0.00/0.09 % 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
% 0.08/0.28 % Computer : n025.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon Apr 7 16:04:50 EDT 2025
% 0.08/0.28 % CPUTime :
% 14.88/6.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.88/6.41
% 14.88/6.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------