%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL231-1 : 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/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 : 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 11:11:34 AM UTC 2026
% Result : Unsatisfiable 26.52s 15.13s
% Output : CNFRefutation 26.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 30 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 7 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > #nlpp > not > r > q > p
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(r,type,
r: $i ).
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_53,axiom,
! [A] : axiom(or(not(or(A,A)),A)),
file(unknown,unknown) ).
tff(f_55,axiom,
! [A,B] : axiom(or(not(A),or(B,A))),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X,Z,Y] :
( theorem(or(not(X),Z))
| ~ axiom(or(not(X),Y))
| ~ theorem(or(not(Y),Z)) ),
file(unknown,unknown) ).
tff(f_61,axiom,
! [A,B,C] : axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
file(unknown,unknown) ).
tff(f_74,axiom,
! [X,Y] :
( theorem(X)
| ~ axiom(or(not(Y),X))
| ~ theorem(Y) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
file(unknown,unknown) ).
tff(f_86,axiom,
~ theorem(or(not(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r)))),
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1] : axiom(or(not(or(A_1,A_1)),A_1)),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [A_2,B_3] : axiom(or(not(A_2),or(B_3,A_2))),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_12,plain,
! [X_12] :
( ~ axiom(X_12)
| theorem(X_12) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_121,plain,
! [Y_48,Z_49,X_50] :
( ~ theorem(or(not(Y_48),Z_49))
| ~ axiom(or(not(X_50),Y_48))
| theorem(or(not(X_50),Z_49)) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_401,plain,
! [X_81,Y_82,Z_83] :
( ~ axiom(or(not(X_81),Y_82))
| theorem(or(not(X_81),Z_83))
| ~ axiom(or(not(Y_82),Z_83)) ),
inference(resolution,[status(thm)],[c_12,c_121]) ).
tff(c_470,plain,
! [A_89,Z_90,B_91] :
( theorem(or(not(A_89),Z_90))
| ~ axiom(or(not(or(B_91,A_89)),Z_90)) ),
inference(resolution,[status(thm)],[c_4,c_401]) ).
tff(c_490,plain,
! [A_1] : theorem(or(not(A_1),A_1)),
inference(resolution,[status(thm)],[c_2,c_470]) ).
tff(c_211,plain,
! [A_59,B_60,C_61] : axiom(or(not(or(not(A_59),B_60)),or(not(or(C_61,A_59)),or(C_61,B_60)))),
inference(cnfTransformation,[status(thm)],[f_61]) ).
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_74]) ).
tff(c_328,plain,
! [A_70,B_71,C_72] :
( ~ theorem(or(not(A_70),B_71))
| theorem(or(not(or(C_72,A_70)),or(C_72,B_71))) ),
inference(resolution,[status(thm)],[c_211,c_14]) ).
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_59]) ).
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_831,plain,
! [C_143,A_144,B_145] :
( theorem(or(C_143,or(not(or(C_143,A_144)),B_145)))
| ~ theorem(or(not(A_144),B_145)) ),
inference(resolution,[status(thm)],[c_328,c_60]) ).
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_82]) ).
tff(c_7415,plain,
! [X_881,Y_882,A_883,B_884] :
( ~ axiom(or(not(X_881),Y_882))
| theorem(or(not(X_881),or(not(or(not(Y_882),A_883)),B_884)))
| ~ theorem(or(not(A_883),B_884)) ),
inference(resolution,[status(thm)],[c_831,c_16]) ).
tff(c_23440,plain,
! [Y_2528,A_2529,X_2530,B_2531] :
( theorem(or(not(or(not(Y_2528),A_2529)),or(not(X_2530),B_2531)))
| ~ axiom(or(not(X_2530),Y_2528))
| ~ theorem(or(not(A_2529),B_2531)) ),
inference(resolution,[status(thm)],[c_7415,c_60]) ).
tff(c_8,plain,
! [A_6,B_7,C_8] : axiom(or(not(or(A_6,or(B_7,C_8))),or(B_7,or(A_6,C_8)))),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_1254,plain,
! [X_211,C_212,A_213,B_214] :
( ~ axiom(or(not(X_211),or(C_212,A_213)))
| theorem(or(not(X_211),or(C_212,B_214)))
| ~ theorem(or(not(A_213),B_214)) ),
inference(resolution,[status(thm)],[c_328,c_16]) ).
tff(c_4954,plain,
! [A_625,B_626,C_627,B_628] :
( theorem(or(not(or(A_625,or(B_626,C_627))),or(B_626,B_628)))
| ~ theorem(or(not(or(A_625,C_627)),B_628)) ),
inference(resolution,[status(thm)],[c_8,c_1254]) ).
tff(c_18,plain,
~ theorem(or(not(or(not(or(not(p),q)),or(not(p),r))),or(not(p),or(not(q),r)))),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_4964,plain,
~ theorem(or(not(or(not(or(not(p),q)),r)),or(not(q),r))),
inference(resolution,[status(thm)],[c_4954,c_18]) ).
tff(c_23448,plain,
( ~ axiom(or(not(q),or(not(p),q)))
| ~ theorem(or(not(r),r)) ),
inference(resolution,[status(thm)],[c_23440,c_4964]) ).
tff(c_23466,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_490,c_4,c_23448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL231-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 21:53:21 UTC 2026
% 0.10/0.35 % CPUTime :
% 26.52/15.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.52/15.14
% 26.52/15.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------