%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL198-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:11:28 AM UTC 2026
% Result : Unsatisfiable 33.60s 21.80s
% Output : CNFRefutation 33.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 34 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 83 ( 83 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > #nlpp > not > q > p
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(theorem,type,
theorem: $i > $o ).
tff(or,type,
or: ( $i * $i ) > $i ).
tff(not,type,
not: $i > $i ).
tff(q,type,
q: $i ).
tff(axiom,type,
axiom: $i > $o ).
tff(p,type,
p: $i ).
tff(f_58,axiom,
! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
file(unknown,unknown) ).
tff(f_56,axiom,
! [A,B] : axiom(or(not(A),or(B,A))),
file(unknown,unknown) ).
tff(f_67,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file(unknown,unknown) ).
tff(f_83,axiom,
! [X,Z,Y] :
( theorem(or(not(X),Z))
| ~ axiom(or(not(X),Y))
| ~ theorem(or(not(Y),Z)) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [A,B,C] : axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
file(unknown,unknown) ).
tff(f_75,axiom,
! [X,Y] :
( theorem(X)
| ~ axiom(or(not(Y),X))
| ~ theorem(Y) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
file(unknown,unknown) ).
tff(f_54,axiom,
! [A] : axiom(or(not(or(A,A)),A)),
file(unknown,unknown) ).
tff(f_87,axiom,
~ theorem(or(not(or(not(p),or(not(p),q))),or(not(p),q))),
file(unknown,unknown) ).
tff(c_6,plain,
! [A_4,B_5] : axiom(or(not(or(A_4,B_5)),or(B_5,A_4))),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_4,plain,
! [A_2,B_3] : axiom(or(not(A_2),or(B_3,A_2))),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_12,plain,
! [X_12] :
( ~ axiom(X_12)
| theorem(X_12) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_174,plain,
! [Y_51,Z_52,X_53] :
( ~ theorem(or(not(Y_51),Z_52))
| ~ axiom(or(not(X_53),Y_51))
| theorem(or(not(X_53),Z_52)) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_497,plain,
! [X_95,Y_96,Z_97] :
( ~ axiom(or(not(X_95),Y_96))
| theorem(or(not(X_95),Z_97))
| ~ axiom(or(not(Y_96),Z_97)) ),
inference(resolution,[status(thm)],[c_12,c_174]) ).
tff(c_534,plain,
! [A_103,Z_104,B_105] :
( theorem(or(not(A_103),Z_104))
| ~ axiom(or(not(or(B_105,A_103)),Z_104)) ),
inference(resolution,[status(thm)],[c_4,c_497]) ).
tff(c_553,plain,
! [B_5,A_4] : theorem(or(not(B_5),or(B_5,A_4))),
inference(resolution,[status(thm)],[c_6,c_534]) ).
tff(c_161,plain,
! [A_48,B_49,C_50] : axiom(or(not(or(not(A_48),B_49)),or(not(or(C_50,A_48)),or(C_50,B_49)))),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_14,plain,
! [Y_14,X_13] :
( ~ theorem(Y_14)
| ~ axiom(or(not(Y_14),X_13))
| theorem(X_13) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_319,plain,
! [A_68,B_69,C_70] :
( ~ theorem(or(not(A_68),B_69))
| theorem(or(not(or(C_70,A_68)),or(C_70,B_69))) ),
inference(resolution,[status(thm)],[c_161,c_14]) ).
tff(c_16,plain,
! [Y_17,Z_16,X_15] :
( ~ theorem(or(not(Y_17),Z_16))
| ~ axiom(or(not(X_15),Y_17))
| theorem(or(not(X_15),Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_1155,plain,
! [X_200,C_201,A_202,B_203] :
( ~ axiom(or(not(X_200),or(C_201,A_202)))
| theorem(or(not(X_200),or(C_201,B_203)))
| ~ theorem(or(not(A_202),B_203)) ),
inference(resolution,[status(thm)],[c_319,c_16]) ).
tff(c_2568,plain,
! [A_345,B_346,B_347] :
( theorem(or(not(or(A_345,B_346)),or(B_346,B_347)))
| ~ theorem(or(not(A_345),B_347)) ),
inference(resolution,[status(thm)],[c_6,c_1155]) ).
tff(c_56,plain,
! [A_32,B_33,C_34] : axiom(or(not(or(A_32,or(B_33,C_34))),or(B_33,or(A_32,C_34)))),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_60,plain,
! [A_32,B_33,C_34] :
( ~ theorem(or(A_32,or(B_33,C_34)))
| theorem(or(B_33,or(A_32,C_34))) ),
inference(resolution,[status(thm)],[c_56,c_14]) ).
tff(c_9536,plain,
! [B_993,A_994,B_995] :
( theorem(or(B_993,or(not(or(A_994,B_993)),B_995)))
| ~ theorem(or(not(A_994),B_995)) ),
inference(resolution,[status(thm)],[c_2568,c_60]) ).
tff(c_36,plain,
! [A_25,B_26] : axiom(or(not(or(A_25,B_26)),or(B_26,A_25))),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_40,plain,
! [A_25,B_26] :
( ~ theorem(or(A_25,B_26))
| theorem(or(B_26,A_25)) ),
inference(resolution,[status(thm)],[c_36,c_14]) ).
tff(c_30047,plain,
! [A_3072,B_3073,B_3074] :
( theorem(or(or(not(or(A_3072,B_3073)),B_3074),B_3073))
| ~ theorem(or(not(A_3072),B_3074)) ),
inference(resolution,[status(thm)],[c_9536,c_40]) ).
tff(c_22,plain,
! [Y_22,X_23] :
( ~ theorem(Y_22)
| ~ axiom(or(not(Y_22),X_23))
| theorem(X_23) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_30,plain,
! [A_2,B_3] :
( ~ theorem(A_2)
| theorem(or(B_3,A_2)) ),
inference(resolution,[status(thm)],[c_4,c_22]) ).
tff(c_79,plain,
! [A_39,B_40,C_41] :
( ~ theorem(or(A_39,or(B_40,C_41)))
| theorem(or(B_40,or(A_39,C_41))) ),
inference(resolution,[status(thm)],[c_56,c_14]) ).
tff(c_195,plain,
! [B_54,B_55,C_56] :
( theorem(or(B_54,or(B_55,C_56)))
| ~ theorem(or(B_54,C_56)) ),
inference(resolution,[status(thm)],[c_30,c_79]) ).
tff(c_2,plain,
! [A_1] : axiom(or(not(or(A_1,A_1)),A_1)),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_29,plain,
! [A_1] :
( ~ theorem(or(A_1,A_1))
| theorem(A_1) ),
inference(resolution,[status(thm)],[c_2,c_22]) ).
tff(c_214,plain,
! [B_55,C_56] :
( theorem(or(B_55,C_56))
| ~ theorem(or(or(B_55,C_56),C_56)) ),
inference(resolution,[status(thm)],[c_195,c_29]) ).
tff(c_30069,plain,
! [A_3075,B_3076] :
( theorem(or(not(or(A_3075,B_3076)),B_3076))
| ~ theorem(or(not(A_3075),B_3076)) ),
inference(resolution,[status(thm)],[c_30047,c_214]) ).
tff(c_18,plain,
~ theorem(or(not(or(not(p),or(not(p),q))),or(not(p),q))),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_30084,plain,
~ theorem(or(not(not(p)),or(not(p),q))),
inference(resolution,[status(thm)],[c_30069,c_18]) ).
tff(c_30100,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_553,c_30084]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL198-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % 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
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 00:35:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 33.60/21.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.60/21.82
% 33.60/21.82 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------