%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN613-1 : TPTP v9.0.0. Released v2.5.0.
% 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 : n009.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 10:04:02 PM UTC 2025
% Result : Unsatisfiable 12.39s 4.42s
% Output : CNFRefutation 12.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 49 ( 26 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 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 : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p17 > p6 > p5 > p3 > p2 > p18 > p16 > p11 > f8 > f7 > f14 > #nlpp > f9 > f4 > f15 > f13 > f12 > f10 > c25 > c24 > c23 > c22 > c21 > c20 > c19
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f12,type,
f12: $i > $i ).
tff(p16,type,
p16: ( $i * $i ) > $o ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c21,type,
c21: $i ).
tff(f14,type,
f14: ( $i * $i ) > $i ).
tff(c23,type,
c23: $i ).
tff(f13,type,
f13: $i > $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(c22,type,
c22: $i ).
tff(f7,type,
f7: ( $i * $i ) > $i ).
tff(p5,type,
p5: ( $i * $i ) > $o ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(c25,type,
c25: $i ).
tff(f9,type,
f9: $i > $i ).
tff(f4,type,
f4: $i > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(p17,type,
p17: ( $i * $i * $i ) > $o ).
tff(c19,type,
c19: $i ).
tff(c20,type,
c20: $i ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(c24,type,
c24: $i ).
tff(f10,type,
f10: $i > $i ).
tff(f15,type,
f15: $i > $i ).
tff(f_33,axiom,
! [X14] : p16(X14,X14),
file(unknown,unknown) ).
tff(f_34,axiom,
p11(c23,f12(f9(c21))),
file(unknown,unknown) ).
tff(f_23,axiom,
! [X0] : p11(X0,X0),
file(unknown,unknown) ).
tff(f_73,axiom,
! [X1,X2,X0] :
( p11(X1,X2)
| ~ p11(X0,X1)
| ~ p11(X0,X2) ),
file(unknown,unknown) ).
tff(f_35,axiom,
p11(c24,f12(f9(c21))),
file(unknown,unknown) ).
tff(f_29,axiom,
! [X36] : p3(X36,X36),
file(unknown,unknown) ).
tff(f_114,axiom,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
file(unknown,unknown) ).
tff(f_175,axiom,
! [X22,X17,X21,X20,X19,X18] :
( p17(X17,X18,X19)
| ~ p3(X22,X18)
| ~ p16(X21,X17)
| ~ p11(X20,X19)
| ~ p17(X21,X22,X20) ),
file(unknown,unknown) ).
tff(f_116,axiom,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
file(unknown,unknown) ).
tff(c_12,plain,
! [X14_6] : p16(X14_6,X14_6),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_14,plain,
p11(c23,f12(f9(c21))),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_2,plain,
! [X0_1] : p11(X0_1,X0_1),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_93,plain,
! [X0_91,X2_92,X1_93] :
( ~ p11(X0_91,X2_92)
| ~ p11(X0_91,X1_93)
| p11(X1_93,X2_92) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_119,plain,
! [X0_97,X1_98] :
( ~ p11(X0_97,X1_98)
| p11(X1_98,X0_97) ),
inference(resolution,[status(thm)],[c_2,c_93]) ).
tff(c_136,plain,
p11(f12(f9(c21)),c23),
inference(resolution,[status(thm)],[c_14,c_119]) ).
tff(c_16,plain,
p11(c24,f12(f9(c21))),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_135,plain,
p11(f12(f9(c21)),c24),
inference(resolution,[status(thm)],[c_16,c_119]) ).
tff(c_30,plain,
! [X0_21,X2_20,X1_19] :
( ~ p11(X0_21,X2_20)
| ~ p11(X0_21,X1_19)
| p11(X1_19,X2_20) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_261,plain,
! [X1_127] :
( ~ p11(f12(f9(c21)),X1_127)
| p11(X1_127,c24) ),
inference(resolution,[status(thm)],[c_135,c_30]) ).
tff(c_303,plain,
p11(c23,c24),
inference(resolution,[status(thm)],[c_136,c_261]) ).
tff(c_111,plain,
! [X0_1,X1_93] :
( ~ p11(X0_1,X1_93)
| p11(X1_93,X0_1) ),
inference(resolution,[status(thm)],[c_2,c_93]) ).
tff(c_313,plain,
p11(c24,c23),
inference(resolution,[status(thm)],[c_303,c_111]) ).
tff(c_8,plain,
! [X36_4] : p3(X36_4,X36_4),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_42,plain,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_787,plain,
! [X18_179,X21_178,X22_176,X19_175,X20_174,X17_177] :
( ~ p17(X21_178,X22_176,X20_174)
| ~ p11(X20_174,X19_175)
| ~ p16(X21_178,X17_177)
| ~ p3(X22_176,X18_179)
| p17(X17_177,X18_179,X19_175) ),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_3115,plain,
! [X19_287,X17_288,X18_289] :
( ~ p11(c24,X19_287)
| ~ p16(c19,X17_288)
| ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),X18_289)
| p17(X17_288,X18_289,X19_287) ),
inference(resolution,[status(thm)],[c_42,c_787]) ).
tff(c_9492,plain,
! [X19_441,X17_442] :
( ~ p11(c24,X19_441)
| ~ p16(c19,X17_442)
| p17(X17_442,f4(f7(f10(c20),f8(f9(c21),c22))),X19_441) ),
inference(resolution,[status(thm)],[c_8,c_3115]) ).
tff(c_44,plain,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_9497,plain,
( ~ p11(c24,c23)
| ~ p16(c19,c19) ),
inference(resolution,[status(thm)],[c_9492,c_44]) ).
tff(c_9502,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_313,c_9497]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN613-1 : TPTP v9.0.0. Released v2.5.0.
% 0.11/0.13 % 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 : n009.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 08:04:11 EDT 2025
% 0.13/0.36 % CPUTime :
% 12.39/4.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.39/4.42
% 12.39/4.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------