%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYO612-1 : TPTP v9.0.0. Released v7.1.0.
% 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 10:37:58 PM UTC 2025
% Result : Unsatisfiable 3.47s 1.88s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 96 ( 52 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 86 ( 86 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ le > eq > max > #nlpp > s > f > a0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(le,type,
le: ( $i * $i ) > $o ).
tff(s,type,
s: $i > $i ).
tff(f,type,
f: $i > $i ).
tff(a0,type,
a0: $i ).
tff(max,type,
max: ( $i * $i ) > $i ).
tff(eq,type,
eq: ( $i * $i ) > $o ).
tff(f_25,axiom,
! [A] : le(A,A),
file(unknown,unknown) ).
tff(f_35,axiom,
! [A,B,C] :
( ~ le(max(A,B),C)
| le(B,C) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [A,B,C] :
( ~ le(max(A,B),C)
| le(A,C) ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [A] : eq(f(A),a0),
file(unknown,unknown) ).
tff(f_76,axiom,
! [A5,A2,A4,A6,A3,A1,A0] :
( ~ eq(f(A0),a0)
| ~ eq(f(A1),a0)
| ~ eq(f(A2),a0)
| ~ eq(f(A3),a0)
| ~ eq(f(A4),a0)
| ~ eq(f(A5),a0)
| ~ eq(f(A6),a0)
| ~ le(s(A0),A1)
| ~ le(s(A1),A2)
| ~ le(s(A2),A3)
| ~ le(s(A3),A4)
| ~ le(s(A4),A5)
| ~ le(s(A5),A6) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1] : le(A_1,A_1),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_33,plain,
! [B_26,C_27,A_28] :
( le(B_26,C_27)
| ~ le(max(A_28,B_26),C_27) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_49,plain,
! [B_29,A_30] : le(B_29,max(A_30,B_29)),
inference(resolution,[status(thm)],[c_2,c_33]) ).
tff(c_4,plain,
! [A_2,C_4,B_3] :
( le(A_2,C_4)
| ~ le(max(A_2,B_3),C_4) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_82,plain,
! [A_37,A_38,B_39] : le(A_37,max(A_38,max(A_37,B_39))),
inference(resolution,[status(thm)],[c_49,c_4]) ).
tff(c_6,plain,
! [B_6,C_7,A_5] :
( le(B_6,C_7)
| ~ le(max(A_5,B_6),C_7) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_126,plain,
! [B_52,A_53,A_54,B_55] : le(B_52,max(A_53,max(max(A_54,B_52),B_55))),
inference(resolution,[status(thm)],[c_82,c_6]) ).
tff(c_135,plain,
! [B_6,A_53,A_5,B_55,A_54] : le(B_6,max(A_53,max(max(A_54,max(A_5,B_6)),B_55))),
inference(resolution,[status(thm)],[c_126,c_6]) ).
tff(c_71,plain,
! [B_34,A_35,A_36] : le(B_34,max(A_35,max(A_36,B_34))),
inference(resolution,[status(thm)],[c_49,c_6]) ).
tff(c_80,plain,
! [B_6,A_35,A_36,A_5] : le(B_6,max(A_35,max(A_36,max(A_5,B_6)))),
inference(resolution,[status(thm)],[c_71,c_6]) ).
tff(c_59,plain,
! [A_2,A_30,B_3] : le(A_2,max(A_30,max(A_2,B_3))),
inference(resolution,[status(thm)],[c_49,c_4]) ).
tff(c_48,plain,
! [B_26,A_28] : le(B_26,max(A_28,B_26)),
inference(resolution,[status(thm)],[c_2,c_33]) ).
tff(c_8,plain,
! [A_8] : eq(f(A_8),a0),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_10,plain,
! [A2_10,A3_13,A6_12,A1_14,A4_11,A0_15,A5_9] :
( ~ le(s(A5_9),A6_12)
| ~ le(s(A4_11),A5_9)
| ~ le(s(A3_13),A4_11)
| ~ le(s(A2_10),A3_13)
| ~ le(s(A1_14),A2_10)
| ~ le(s(A0_15),A1_14)
| ~ eq(f(A6_12),a0)
| ~ eq(f(A5_9),a0)
| ~ eq(f(A4_11),a0)
| ~ eq(f(A3_13),a0)
| ~ eq(f(A2_10),a0)
| ~ eq(f(A1_14),a0)
| ~ eq(f(A0_15),a0) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_148,plain,
! [A1_64,A5_66,A4_60,A0_65,A6_62,A2_63,A3_61] :
( ~ le(s(A5_66),A6_62)
| ~ le(s(A4_60),A5_66)
| ~ le(s(A3_61),A4_60)
| ~ le(s(A2_63),A3_61)
| ~ le(s(A1_64),A2_63)
| ~ le(s(A0_65),A1_64) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_8,c_8,c_8,c_8,c_8,c_8,c_10]) ).
tff(c_311,plain,
! [A0_111,A3_110,A4_109,A1_112,A5_113,A2_114] :
( ~ le(s(A4_109),A5_113)
| ~ le(s(A3_110),A4_109)
| ~ le(s(A2_114),A3_110)
| ~ le(s(A1_112),A2_114)
| ~ le(s(A0_111),A1_112) ),
inference(resolution,[status(thm)],[c_2,c_148]) ).
tff(c_501,plain,
! [A4_163,A2_160,A3_164,A0_162,A1_161] :
( ~ le(s(A3_164),A4_163)
| ~ le(s(A2_160),A3_164)
| ~ le(s(A1_161),A2_160)
| ~ le(s(A0_162),A1_161) ),
inference(resolution,[status(thm)],[c_48,c_311]) ).
tff(c_606,plain,
! [A2_170,A3_171,A1_172,A0_173] :
( ~ le(s(A2_170),A3_171)
| ~ le(s(A1_172),A2_170)
| ~ le(s(A0_173),A1_172) ),
inference(resolution,[status(thm)],[c_59,c_501]) ).
tff(c_700,plain,
! [A1_174,A2_175,A0_176] :
( ~ le(s(A1_174),A2_175)
| ~ le(s(A0_176),A1_174) ),
inference(resolution,[status(thm)],[c_80,c_606]) ).
tff(c_794,plain,
! [A0_177,A1_178] : ~ le(s(A0_177),A1_178),
inference(resolution,[status(thm)],[c_2,c_700]) ).
tff(c_889,plain,
$false,
inference(resolution,[status(thm)],[c_135,c_794]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO612-1 : TPTP v9.0.0. Released v7.1.0.
% 0.03/0.13 % 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
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Apr 9 09:35:49 EDT 2025
% 0.13/0.35 % CPUTime :
% 3.47/1.88 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.47/1.89
% 3.47/1.89 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------