%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL323-3 : TPTP v9.3.1. Released v2.3.0.
% 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 : n013.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 11:11:43 AM UTC 2026
% Result : Unsatisfiable 17.02s 7.51s
% Output : CNFRefutation 17.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 68 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 32 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 87 ( 87 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > implies > #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(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_50,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))),
file(unknown,unknown) ).
tff(f_48,axiom,
! [A,B] : axiom(implies(A,or(B,A))),
file(unknown,unknown) ).
tff(f_61,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y] : ( implies(X,Y) = or(not(X),Y) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file(unknown,unknown) ).
tff(f_69,axiom,
! [X,Y] :
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))),
file(unknown,unknown) ).
tff(f_77,axiom,
~ theorem(or(implies(p,q),implies(q,r))),
file(unknown,unknown) ).
tff(c_6,plain,
! [A_4,B_5] : axiom(implies(or(A_4,B_5),or(B_5,A_4))),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_4,plain,
! [A_2,B_3] : axiom(implies(A_2,or(B_3,A_2))),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_14,plain,
! [X_14] :
( ~ axiom(X_14)
| theorem(X_14) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_12,plain,
! [X_12,Y_13] : ( or(not(X_12),Y_13) = implies(X_12,Y_13) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_55,plain,
! [A_29,B_30,C_31] : axiom(implies(implies(A_29,B_30),implies(or(C_31,A_29),or(C_31,B_30)))),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_61,plain,
! [A_29,Y_13,X_12] : axiom(implies(implies(A_29,Y_13),implies(or(not(X_12),A_29),implies(X_12,Y_13)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_55]) ).
tff(c_367,plain,
! [A_75,Y_76,X_77] : axiom(implies(implies(A_75,Y_76),implies(implies(X_77,A_75),implies(X_77,Y_76)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_61]) ).
tff(c_50,plain,
! [Y_27,X_28] :
( ~ theorem(Y_27)
| ~ theorem(implies(Y_27,X_28))
| theorem(X_28) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_54,plain,
! [Y_27,X_28] :
( ~ theorem(Y_27)
| theorem(X_28)
| ~ axiom(implies(Y_27,X_28)) ),
inference(resolution,[status(thm)],[c_14,c_50]) ).
tff(c_1152,plain,
! [A_162,Y_163,X_164] :
( ~ theorem(implies(A_162,Y_163))
| theorem(implies(implies(X_164,A_162),implies(X_164,Y_163))) ),
inference(resolution,[status(thm)],[c_367,c_54]) ).
tff(c_16,plain,
! [Y_16,X_15] :
( ~ theorem(Y_16)
| ~ theorem(implies(Y_16,X_15))
| theorem(X_15) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_3290,plain,
! [X_304,A_305,Y_306] :
( ~ theorem(implies(X_304,A_305))
| theorem(implies(X_304,Y_306))
| ~ theorem(implies(A_305,Y_306)) ),
inference(resolution,[status(thm)],[c_1152,c_16]) ).
tff(c_4657,plain,
! [X_379,Y_380,A_381] :
( theorem(implies(X_379,Y_380))
| ~ theorem(implies(A_381,Y_380))
| ~ axiom(implies(X_379,A_381)) ),
inference(resolution,[status(thm)],[c_14,c_3290]) ).
tff(c_20005,plain,
! [X_993,Y_994,A_995] :
( theorem(implies(X_993,Y_994))
| ~ axiom(implies(X_993,A_995))
| ~ axiom(implies(A_995,Y_994)) ),
inference(resolution,[status(thm)],[c_14,c_4657]) ).
tff(c_20188,plain,
! [A_1000,Y_1001,B_1002] :
( theorem(implies(A_1000,Y_1001))
| ~ axiom(implies(or(B_1002,A_1000),Y_1001)) ),
inference(resolution,[status(thm)],[c_4,c_20005]) ).
tff(c_20218,plain,
! [B_5,A_4] : theorem(implies(B_5,or(B_5,A_4))),
inference(resolution,[status(thm)],[c_6,c_20188]) ).
tff(c_120,plain,
! [A_39,B_40,C_41] : axiom(implies(or(A_39,or(B_40,C_41)),or(B_40,or(A_39,C_41)))),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_130,plain,
! [X_12,B_40,C_41] : axiom(implies(implies(X_12,or(B_40,C_41)),or(B_40,or(not(X_12),C_41)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_120]) ).
tff(c_316,plain,
! [X_64,B_65,C_66] : axiom(implies(implies(X_64,or(B_65,C_66)),or(B_65,implies(X_64,C_66)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_130]) ).
tff(c_533,plain,
! [X_107,B_108,C_109] :
( ~ theorem(implies(X_107,or(B_108,C_109)))
| theorem(or(B_108,implies(X_107,C_109))) ),
inference(resolution,[status(thm)],[c_316,c_54]) ).
tff(c_64,plain,
! [Y_32,X_33] :
( ~ theorem(Y_32)
| theorem(X_33)
| ~ axiom(implies(Y_32,X_33)) ),
inference(resolution,[status(thm)],[c_14,c_50]) ).
tff(c_81,plain,
! [A_4,B_5] :
( ~ theorem(or(A_4,B_5))
| theorem(or(B_5,A_4)) ),
inference(resolution,[status(thm)],[c_6,c_64]) ).
tff(c_1640,plain,
! [X_214,C_215,B_216] :
( theorem(or(implies(X_214,C_215),B_216))
| ~ theorem(implies(X_214,or(B_216,C_215))) ),
inference(resolution,[status(thm)],[c_533,c_81]) ).
tff(c_84,plain,
! [A_2,B_3] :
( ~ theorem(A_2)
| theorem(or(B_3,A_2)) ),
inference(resolution,[status(thm)],[c_4,c_64]) ).
tff(c_444,plain,
! [A_92,B_93,C_94] :
( ~ theorem(or(A_92,or(B_93,C_94)))
| theorem(or(B_93,or(A_92,C_94))) ),
inference(resolution,[status(thm)],[c_120,c_54]) ).
tff(c_615,plain,
! [B_116,B_117,C_118] :
( theorem(or(B_116,or(B_117,C_118)))
| ~ theorem(or(B_116,C_118)) ),
inference(resolution,[status(thm)],[c_84,c_444]) ).
tff(c_635,plain,
! [B_119,C_120,B_121] :
( theorem(or(or(B_119,C_120),B_121))
| ~ theorem(or(B_121,C_120)) ),
inference(resolution,[status(thm)],[c_615,c_81]) ).
tff(c_868,plain,
! [X_139,Y_140,B_141] :
( theorem(or(implies(X_139,Y_140),B_141))
| ~ theorem(or(B_141,Y_140)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_635]) ).
tff(c_18,plain,
~ theorem(or(implies(p,q),implies(q,r))),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_903,plain,
~ theorem(or(implies(q,r),q)),
inference(resolution,[status(thm)],[c_868,c_18]) ).
tff(c_1679,plain,
~ theorem(implies(q,or(q,r))),
inference(resolution,[status(thm)],[c_1640,c_903]) ).
tff(c_20225,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20218,c_1679]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL323-3 : TPTP v9.3.1. Released v2.3.0.
% 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
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 6 02:06:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 17.02/7.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.02/7.52
% 17.02/7.52 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------