%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL196-1 : 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 : n005.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 36.66s 23.43s
% Output : CNFRefutation 36.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 91 ( 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 : 5 ( 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 : 127 ( 127 !; 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_59,axiom,
! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
file(unknown,unknown) ).
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_74,axiom,
! [X,Y] :
( theorem(X)
| ~ axiom(or(not(Y),X))
| ~ theorem(Y) ),
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_86,axiom,
~ theorem(or(not(or(p,or(p,q))),or(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_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_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_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_381,plain,
! [X_72,Y_73,Z_74] :
( ~ axiom(or(not(X_72),Y_73))
| theorem(or(not(X_72),Z_74))
| ~ axiom(or(not(Y_73),Z_74)) ),
inference(resolution,[status(thm)],[c_12,c_128]) ).
tff(c_446,plain,
! [A_87,Z_88,B_89] :
( theorem(or(not(A_87),Z_88))
| ~ axiom(or(not(or(B_89,A_87)),Z_88)) ),
inference(resolution,[status(thm)],[c_4,c_381]) ).
tff(c_468,plain,
! [A_90] : theorem(or(not(A_90),A_90)),
inference(resolution,[status(thm)],[c_2,c_446]) ).
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_566,plain,
! [B_105,C_106] : theorem(or(B_105,or(not(or(B_105,C_106)),C_106))),
inference(resolution,[status(thm)],[c_468,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_577,plain,
! [B_105,C_106] : theorem(or(or(not(or(B_105,C_106)),C_106),B_105)),
inference(resolution,[status(thm)],[c_566,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_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_160,plain,
! [B_46,B_3,C_47] :
( theorem(or(B_46,or(B_3,C_47)))
| ~ theorem(or(B_46,C_47)) ),
inference(resolution,[status(thm)],[c_30,c_145]) ).
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_29,plain,
! [A_1] :
( ~ theorem(or(A_1,A_1))
| theorem(A_1) ),
inference(resolution,[status(thm)],[c_2,c_22]) ).
tff(c_251,plain,
! [B_60,C_61] :
( theorem(or(B_60,C_61))
| ~ theorem(or(or(B_60,C_61),C_61)) ),
inference(resolution,[status(thm)],[c_215,c_29]) ).
tff(c_7605,plain,
! [B_945,B_946,C_947] :
( theorem(or(B_945,or(B_946,C_947)))
| ~ theorem(or(or(B_945,or(B_946,C_947)),C_947)) ),
inference(resolution,[status(thm)],[c_160,c_251]) ).
tff(c_8442,plain,
! [B_948,B_949] : theorem(or(not(or(B_948,or(B_949,B_948))),or(B_949,B_948))),
inference(resolution,[status(thm)],[c_577,c_7605]) ).
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_15284,plain,
! [X_1676,B_1677,B_1678] :
( ~ axiom(or(not(X_1676),or(B_1677,or(B_1678,B_1677))))
| theorem(or(not(X_1676),or(B_1678,B_1677))) ),
inference(resolution,[status(thm)],[c_8442,c_16]) ).
tff(c_15312,plain,
! [A_1679,C_1680] : theorem(or(not(or(A_1679,or(C_1680,C_1680))),or(A_1679,C_1680))),
inference(resolution,[status(thm)],[c_8,c_15284]) ).
tff(c_17122,plain,
! [X_1868,A_1869,C_1870] :
( ~ axiom(or(not(X_1868),or(A_1869,or(C_1870,C_1870))))
| theorem(or(not(X_1868),or(A_1869,C_1870))) ),
inference(resolution,[status(thm)],[c_15312,c_16]) ).
tff(c_17146,plain,
! [C_1870,B_5] : theorem(or(not(or(or(C_1870,C_1870),B_5)),or(B_5,C_1870))),
inference(resolution,[status(thm)],[c_6,c_17122]) ).
tff(c_106,plain,
! [A_37,B_38,C_39] : axiom(or(not(or(not(A_37),B_38)),or(not(or(C_39,A_37)),or(C_39,B_38)))),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_291,plain,
! [A_62,B_63,C_64] :
( ~ theorem(or(not(A_62),B_63))
| theorem(or(not(or(C_64,A_62)),or(C_64,B_63))) ),
inference(resolution,[status(thm)],[c_106,c_14]) ).
tff(c_1199,plain,
! [X_205,C_206,A_207,B_208] :
( ~ axiom(or(not(X_205),or(C_206,A_207)))
| theorem(or(not(X_205),or(C_206,B_208)))
| ~ theorem(or(not(A_207),B_208)) ),
inference(resolution,[status(thm)],[c_291,c_16]) ).
tff(c_5318,plain,
! [A_657,B_658,C_659,B_660] :
( theorem(or(not(or(A_657,or(B_658,C_659))),or(B_658,B_660)))
| ~ theorem(or(not(or(A_657,C_659)),B_660)) ),
inference(resolution,[status(thm)],[c_8,c_1199]) ).
tff(c_23846,plain,
! [B_2494,X_2497,B_2495,C_2498,A_2496] :
( ~ axiom(or(not(X_2497),or(A_2496,or(B_2494,C_2498))))
| theorem(or(not(X_2497),or(B_2494,B_2495)))
| ~ theorem(or(not(or(A_2496,C_2498)),B_2495)) ),
inference(resolution,[status(thm)],[c_5318,c_16]) ).
tff(c_23981,plain,
! [B_2511,C_2512,B_2513,B_2514] :
( theorem(or(not(or(B_2511,C_2512)),or(B_2511,B_2513)))
| ~ theorem(or(not(or(B_2514,C_2512)),B_2513)) ),
inference(resolution,[status(thm)],[c_4,c_23846]) ).
tff(c_25460,plain,
! [B_2515,B_2516,C_2517] : theorem(or(not(or(B_2515,B_2516)),or(B_2515,or(B_2516,C_2517)))),
inference(resolution,[status(thm)],[c_17146,c_23981]) ).
tff(c_25482,plain,
! [B_2518,B_2519,C_2520] : theorem(or(B_2518,or(not(or(B_2518,B_2519)),or(B_2519,C_2520)))),
inference(resolution,[status(thm)],[c_25460,c_97]) ).
tff(c_25612,plain,
! [B_2539,B_2540,C_2541] : theorem(or(or(not(or(B_2539,B_2540)),or(B_2540,C_2541)),B_2539)),
inference(resolution,[status(thm)],[c_25482,c_40]) ).
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_25636,plain,
! [B_2542,C_2543] : theorem(or(not(or(or(B_2542,C_2543),B_2542)),or(B_2542,C_2543))),
inference(resolution,[status(thm)],[c_25612,c_234]) ).
tff(c_35728,plain,
! [X_3148,B_3149,C_3150] :
( ~ axiom(or(not(X_3148),or(or(B_3149,C_3150),B_3149)))
| theorem(or(not(X_3148),or(B_3149,C_3150))) ),
inference(resolution,[status(thm)],[c_25636,c_16]) ).
tff(c_35746,plain,
! [A_4,C_3150] : theorem(or(not(or(A_4,or(A_4,C_3150))),or(A_4,C_3150))),
inference(resolution,[status(thm)],[c_6,c_35728]) ).
tff(c_18,plain,
~ theorem(or(not(or(p,or(p,q))),or(p,q))),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_36010,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_35746,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL196-1 : 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
% 0.10/0.37 % Computer : n005.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 04:10:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 36.66/23.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.66/23.44
% 36.66/23.44 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------