%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL201-1 : 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 : n018.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 11:11:29 AM UTC 2026
% Result : Unsatisfiable 210.96s 189.45s
% Output : CNFRefutation 211.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 39 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 114 ( 114 !; 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_57,axiom,
! [A,B] : axiom(or(not(or(A,B)),or(B,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_59,axiom,
! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
file(unknown,unknown) ).
tff(f_74,axiom,
! [X,Y] :
( theorem(X)
| ~ axiom(or(not(Y),X))
| ~ theorem(Y) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [A] : axiom(or(not(or(A,A)),A)),
file(unknown,unknown) ).
tff(f_86,axiom,
~ theorem(or(not(not(or(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_57]) ).
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_128,plain,
! [Y_42,Z_43,X_44] :
( ~ theorem(or(not(Y_42),Z_43))
| ~ axiom(or(not(X_44),Y_42))
| theorem(or(not(X_44),Z_43)) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_406,plain,
! [X_84,Y_85,Z_86] :
( ~ axiom(or(not(X_84),Y_85))
| theorem(or(not(X_84),Z_86))
| ~ axiom(or(not(Y_85),Z_86)) ),
inference(resolution,[status(thm)],[c_12,c_128]) ).
tff(c_442,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_406]) ).
tff(c_475,plain,
! [B_93,A_94] : theorem(or(not(B_93),or(B_93,A_94))),
inference(resolution,[status(thm)],[c_6,c_442]) ).
tff(c_93,plain,
! [A_34,B_35,C_36] : axiom(or(not(or(A_34,or(B_35,C_36))),or(B_35,or(A_34,C_36)))),
inference(cnfTransformation,[status(thm)],[f_59]) ).
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_97,plain,
! [A_34,B_35,C_36] :
( ~ theorem(or(A_34,or(B_35,C_36)))
| theorem(or(B_35,or(A_34,C_36))) ),
inference(resolution,[status(thm)],[c_93,c_14]) ).
tff(c_482,plain,
! [B_93,A_94] : theorem(or(B_93,or(not(B_93),A_94))),
inference(resolution,[status(thm)],[c_475,c_97]) ).
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_74]) ).
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_145,plain,
! [A_45,B_46,C_47] :
( ~ theorem(or(A_45,or(B_46,C_47)))
| theorem(or(B_46,or(A_45,C_47))) ),
inference(resolution,[status(thm)],[c_93,c_14]) ).
tff(c_215,plain,
! [B_57,B_58,C_59] :
( theorem(or(B_57,or(B_58,C_59)))
| ~ theorem(or(B_57,C_59)) ),
inference(resolution,[status(thm)],[c_30,c_145]) ).
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_4078,plain,
! [X_539,Y_540,B_541,C_542] :
( ~ axiom(or(not(X_539),Y_540))
| theorem(or(not(X_539),or(B_541,C_542)))
| ~ theorem(or(not(Y_540),C_542)) ),
inference(resolution,[status(thm)],[c_215,c_16]) ).
tff(c_12086,plain,
! [A_1306,B_1307,B_1308,C_1309] :
( theorem(or(not(or(A_1306,B_1307)),or(B_1308,C_1309)))
| ~ theorem(or(not(or(B_1307,A_1306)),C_1309)) ),
inference(resolution,[status(thm)],[c_6,c_4078]) ).
tff(c_140492,plain,
! [C_7559,X_7562,B_7561,A_7560,B_7558] :
( ~ axiom(or(not(X_7562),or(A_7560,B_7558)))
| theorem(or(not(X_7562),or(B_7561,C_7559)))
| ~ theorem(or(not(or(B_7558,A_7560)),C_7559)) ),
inference(resolution,[status(thm)],[c_12086,c_16]) ).
tff(c_140721,plain,
! [A_7576,B_7577,C_7578,B_7579] :
( theorem(or(not(A_7576),or(B_7577,C_7578)))
| ~ theorem(or(not(or(A_7576,B_7579)),C_7578)) ),
inference(resolution,[status(thm)],[c_4,c_140492]) ).
tff(c_144628,plain,
! [A_7580,B_7581,B_7582,A_7583] : theorem(or(not(A_7580),or(B_7581,or(not(not(or(A_7580,B_7582))),A_7583)))),
inference(resolution,[status(thm)],[c_482,c_140721]) ).
tff(c_144832,plain,
! [B_7598,A_7599,B_7600,A_7601] : theorem(or(B_7598,or(not(A_7599),or(not(not(or(A_7599,B_7600))),A_7601)))),
inference(resolution,[status(thm)],[c_144628,c_97]) ).
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_57]) ).
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_233,plain,
! [B_58,C_59,B_57] :
( theorem(or(or(B_58,C_59),B_57))
| ~ theorem(or(B_57,C_59)) ),
inference(resolution,[status(thm)],[c_215,c_40]) ).
tff(c_301,plain,
! [B_65,C_66,B_67] :
( theorem(or(or(B_65,C_66),B_67))
| ~ theorem(or(B_67,C_66)) ),
inference(resolution,[status(thm)],[c_215,c_40]) ).
tff(c_7624,plain,
! [B_964,B_965,C_966,C_967] :
( theorem(or(B_964,or(or(B_965,C_966),C_967)))
| ~ theorem(or(or(B_964,C_967),C_966)) ),
inference(resolution,[status(thm)],[c_301,c_97]) ).
tff(c_33435,plain,
! [B_3402,C_3403,C_3404,B_3405] :
( theorem(or(or(or(B_3402,C_3403),C_3404),B_3405))
| ~ theorem(or(or(B_3405,C_3404),C_3403)) ),
inference(resolution,[status(thm)],[c_7624,c_40]) ).
tff(c_2,plain,
! [A_1] : axiom(or(not(or(A_1,A_1)),A_1)),
inference(cnfTransformation,[status(thm)],[f_53]) ).
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_234,plain,
! [B_58,C_59] :
( theorem(or(B_58,C_59))
| ~ theorem(or(or(B_58,C_59),C_59)) ),
inference(resolution,[status(thm)],[c_215,c_29]) ).
tff(c_33474,plain,
! [B_3406,C_3407,B_3408] :
( theorem(or(or(B_3406,C_3407),B_3408))
| ~ theorem(or(or(B_3408,B_3408),C_3407)) ),
inference(resolution,[status(thm)],[c_33435,c_234]) ).
tff(c_36529,plain,
! [B_3463,B_3464,C_3465] :
( theorem(or(or(B_3463,B_3464),C_3465))
| ~ theorem(or(B_3464,C_3465)) ),
inference(resolution,[status(thm)],[c_233,c_33474]) ).
tff(c_36571,plain,
! [B_3463,B_3464] :
( theorem(or(B_3463,B_3464))
| ~ theorem(or(B_3464,or(B_3463,B_3464))) ),
inference(resolution,[status(thm)],[c_36529,c_29]) ).
tff(c_145022,plain,
! [A_7606,B_7607,A_7608] : theorem(or(not(A_7606),or(not(not(or(A_7606,B_7607))),A_7608))),
inference(resolution,[status(thm)],[c_144832,c_36571]) ).
tff(c_145089,plain,
! [A_7606,B_7607,A_7608] : theorem(or(not(not(or(A_7606,B_7607))),or(not(A_7606),A_7608))),
inference(resolution,[status(thm)],[c_145022,c_97]) ).
tff(c_18,plain,
~ theorem(or(not(not(or(p,q))),or(not(p),q))),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_145095,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_145089,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL201-1 : 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
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 5 02:58:33 UTC 2026
% 0.10/0.38 % CPUTime :
% 210.96/189.45 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 210.96/189.46
% 210.96/189.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------