%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL196-3 : 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/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 : n028.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 54.47s 37.44s
% Output : CNFRefutation 54.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 92 ( 47 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 131 ( 131 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > implies > #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(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_54,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file(unknown,unknown) ).
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_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_46,axiom,
! [A] : axiom(implies(or(A,A),A)),
file(unknown,unknown) ).
tff(f_77,axiom,
~ theorem(implies(or(p,or(p,q)),or(p,q))),
file(unknown,unknown) ).
tff(c_10,plain,
! [A_9,B_10,C_11] : axiom(implies(implies(A_9,B_10),implies(or(C_11,A_9),or(C_11,B_10)))),
inference(cnfTransformation,[status(thm)],[f_54]) ).
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_102,plain,
! [A_36,B_37,C_38] : axiom(implies(implies(A_36,B_37),implies(or(C_38,A_36),or(C_38,B_37)))),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_108,plain,
! [Y_13,B_37,X_12] : axiom(implies(implies(Y_13,B_37),implies(implies(X_12,Y_13),or(not(X_12),B_37)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_102]) ).
tff(c_305,plain,
! [Y_66,B_67,X_68] : axiom(implies(implies(Y_66,B_67),implies(implies(X_68,Y_66),implies(X_68,B_67)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_108]) ).
tff(c_39,plain,
! [Y_25,X_26] :
( ~ theorem(Y_25)
| ~ theorem(implies(Y_25,X_26))
| theorem(X_26) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_43,plain,
! [Y_25,X_26] :
( ~ theorem(Y_25)
| theorem(X_26)
| ~ axiom(implies(Y_25,X_26)) ),
inference(resolution,[status(thm)],[c_14,c_39]) ).
tff(c_1987,plain,
! [Y_245,B_246,X_247] :
( ~ theorem(implies(Y_245,B_246))
| theorem(implies(implies(X_247,Y_245),implies(X_247,B_246))) ),
inference(resolution,[status(thm)],[c_305,c_43]) ).
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_2531,plain,
! [X_279,Y_280,B_281] :
( ~ theorem(implies(X_279,Y_280))
| theorem(implies(X_279,B_281))
| ~ theorem(implies(Y_280,B_281)) ),
inference(resolution,[status(thm)],[c_1987,c_16]) ).
tff(c_6786,plain,
! [X_512,B_513,Y_514] :
( theorem(implies(X_512,B_513))
| ~ theorem(implies(Y_514,B_513))
| ~ axiom(implies(X_512,Y_514)) ),
inference(resolution,[status(thm)],[c_14,c_2531]) ).
tff(c_19236,plain,
! [X_973,B_974,Y_975] :
( theorem(implies(X_973,B_974))
| ~ axiom(implies(X_973,Y_975))
| ~ axiom(implies(Y_975,B_974)) ),
inference(resolution,[status(thm)],[c_14,c_6786]) ).
tff(c_21011,plain,
! [A_1011,B_1012,B_1013] :
( theorem(implies(A_1011,B_1012))
| ~ axiom(implies(or(B_1013,A_1011),B_1012)) ),
inference(resolution,[status(thm)],[c_4,c_19236]) ).
tff(c_21041,plain,
! [B_5,A_4] : theorem(implies(B_5,or(B_5,A_4))),
inference(resolution,[status(thm)],[c_6,c_21011]) ).
tff(c_129,plain,
! [A_40,B_41,C_42] : axiom(implies(or(A_40,or(B_41,C_42)),or(B_41,or(A_40,C_42)))),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_142,plain,
! [X_12,B_41,Y_13] : axiom(implies(or(not(X_12),or(B_41,Y_13)),or(B_41,implies(X_12,Y_13)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_129]) ).
tff(c_456,plain,
! [X_92,B_93,Y_94] : axiom(implies(implies(X_92,or(B_93,Y_94)),or(B_93,implies(X_92,Y_94)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_142]) ).
tff(c_467,plain,
! [X_92,B_93,Y_94] :
( ~ theorem(implies(X_92,or(B_93,Y_94)))
| theorem(or(B_93,implies(X_92,Y_94))) ),
inference(resolution,[status(thm)],[c_456,c_43]) ).
tff(c_2147,plain,
! [A_258,B_259,C_260] :
( ~ theorem(implies(A_258,B_259))
| theorem(implies(or(C_260,A_258),or(C_260,B_259))) ),
inference(resolution,[status(thm)],[c_102,c_43]) ).
tff(c_2296,plain,
! [C_267,A_268,B_269] :
( ~ theorem(or(C_267,A_268))
| theorem(or(C_267,B_269))
| ~ theorem(implies(A_268,B_269)) ),
inference(resolution,[status(thm)],[c_2147,c_16]) ).
tff(c_11532,plain,
! [B_695,B_696,X_697,Y_698] :
( theorem(or(B_695,B_696))
| ~ theorem(implies(implies(X_697,Y_698),B_696))
| ~ theorem(implies(X_697,or(B_695,Y_698))) ),
inference(resolution,[status(thm)],[c_467,c_2296]) ).
tff(c_54750,plain,
! [B_1898,B_1899,X_1900,Y_1901] :
( theorem(or(B_1898,B_1899))
| ~ theorem(implies(X_1900,or(B_1898,Y_1901)))
| ~ axiom(implies(implies(X_1900,Y_1901),B_1899)) ),
inference(resolution,[status(thm)],[c_14,c_11532]) ).
tff(c_67632,plain,
! [B_2268,B_2269,A_2270] :
( theorem(or(B_2268,B_2269))
| ~ axiom(implies(implies(B_2268,A_2270),B_2269)) ),
inference(resolution,[status(thm)],[c_21041,c_54750]) ).
tff(c_68331,plain,
! [A_2280,C_2281,B_2282] : theorem(or(A_2280,implies(or(C_2281,A_2280),or(C_2281,B_2282)))),
inference(resolution,[status(thm)],[c_10,c_67632]) ).
tff(c_52,plain,
! [Y_30,X_31] :
( ~ theorem(Y_30)
| theorem(X_31)
| ~ axiom(implies(Y_30,X_31)) ),
inference(resolution,[status(thm)],[c_14,c_39]) ).
tff(c_72,plain,
! [A_2,B_3] :
( ~ theorem(A_2)
| theorem(or(B_3,A_2)) ),
inference(resolution,[status(thm)],[c_4,c_52]) ).
tff(c_380,plain,
! [A_80,B_81,C_82] :
( ~ theorem(or(A_80,or(B_81,C_82)))
| theorem(or(B_81,or(A_80,C_82))) ),
inference(resolution,[status(thm)],[c_129,c_43]) ).
tff(c_506,plain,
! [B_104,B_105,C_106] :
( theorem(or(B_104,or(B_105,C_106)))
| ~ theorem(or(B_104,C_106)) ),
inference(resolution,[status(thm)],[c_72,c_380]) ).
tff(c_521,plain,
! [X_12,B_105,C_106] :
( theorem(implies(X_12,or(B_105,C_106)))
| ~ theorem(or(not(X_12),C_106)) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_506]) ).
tff(c_668,plain,
! [X_119,B_120,C_121] :
( theorem(implies(X_119,or(B_120,C_121)))
| ~ theorem(implies(X_119,C_121)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_521]) ).
tff(c_868,plain,
! [X_139,B_140,C_141] :
( ~ theorem(X_139)
| theorem(or(B_140,C_141))
| ~ theorem(implies(X_139,C_141)) ),
inference(resolution,[status(thm)],[c_668,c_16]) ).
tff(c_900,plain,
! [X_144,B_145,C_146] :
( ~ theorem(X_144)
| theorem(or(B_145,C_146))
| ~ axiom(implies(X_144,C_146)) ),
inference(resolution,[status(thm)],[c_14,c_868]) ).
tff(c_1256,plain,
! [A_190,B_191,B_192] :
( ~ theorem(or(A_190,B_191))
| theorem(or(B_192,or(B_191,A_190))) ),
inference(resolution,[status(thm)],[c_6,c_900]) ).
tff(c_147,plain,
! [A_40,B_41,C_42] :
( ~ theorem(or(A_40,or(B_41,C_42)))
| theorem(or(B_41,or(A_40,C_42))) ),
inference(resolution,[status(thm)],[c_129,c_43]) ).
tff(c_1446,plain,
! [B_210,B_211,A_212] :
( theorem(or(B_210,or(B_211,A_212)))
| ~ theorem(or(A_212,B_210)) ),
inference(resolution,[status(thm)],[c_1256,c_147]) ).
tff(c_2,plain,
! [A_1] : axiom(implies(or(A_1,A_1),A_1)),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_71,plain,
! [A_1] :
( ~ theorem(or(A_1,A_1))
| theorem(A_1) ),
inference(resolution,[status(thm)],[c_2,c_52]) ).
tff(c_1551,plain,
! [B_220,A_221] :
( theorem(or(B_220,A_221))
| ~ theorem(or(A_221,or(B_220,A_221))) ),
inference(resolution,[status(thm)],[c_1446,c_71]) ).
tff(c_1626,plain,
! [X_12,Y_13] :
( theorem(or(not(X_12),Y_13))
| ~ theorem(or(Y_13,implies(X_12,Y_13))) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_1551]) ).
tff(c_1652,plain,
! [X_12,Y_13] :
( theorem(implies(X_12,Y_13))
| ~ theorem(or(Y_13,implies(X_12,Y_13))) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_1626]) ).
tff(c_68379,plain,
! [C_2281,B_2282] : theorem(implies(or(C_2281,or(C_2281,B_2282)),or(C_2281,B_2282))),
inference(resolution,[status(thm)],[c_68331,c_1652]) ).
tff(c_18,plain,
~ theorem(implies(or(p,or(p,q)),or(p,q))),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_83298,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68379,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL196-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.10/0.37 % Computer : n028.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 : Sat Sep 5 12:20:44 UTC 2026
% 0.10/0.38 % CPUTime :
% 54.47/37.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.47/37.45
% 54.47/37.45 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------