%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN620-1 : 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 : n029.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 10:04:03 PM UTC 2025
% Result : Unsatisfiable 164.99s 131.34s
% Output : CNFRefutation 164.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p5 > p3 > p21 > p20 > p2 > p19 > p11 > p10 > p18 > f17 > f16 > f13 > #nlpp > f9 > f8 > f7 > f6 > f4 > f15 > f14 > f12 > c27 > c26 > c25 > c24 > c23 > c22
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f12,type,
f12: $i > $i ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(f7,type,
f7: $i > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c26,type,
c26: $i ).
tff(f14,type,
f14: $i > $i ).
tff(p21,type,
p21: ( $i * $i ) > $o ).
tff(p20,type,
p20: ( $i * $i ) > $o ).
tff(p18,type,
p18: $i > $o ).
tff(c23,type,
c23: $i ).
tff(f17,type,
f17: ( $i * $i ) > $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(c22,type,
c22: $i ).
tff(c27,type,
c27: $i ).
tff(p5,type,
p5: ( $i * $i ) > $o ).
tff(f6,type,
f6: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(c25,type,
c25: $i ).
tff(f9,type,
f9: $i > $i ).
tff(f8,type,
f8: $i > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(f16,type,
f16: ( $i * $i ) > $i ).
tff(c24,type,
c24: $i ).
tff(f15,type,
f15: $i > $i ).
tff(f_127,axiom,
! [X9] : p10(f13(f6(c22),X9),f13(f6(c24),f16(c26,X9))),
file(unknown,unknown) ).
tff(f_23,axiom,
! [X0] : p10(X0,X0),
file(unknown,unknown) ).
tff(f_93,axiom,
! [X1,X2,X0] :
( p10(X1,X2)
| ~ p10(X0,X1)
| ~ p10(X0,X2) ),
file(unknown,unknown) ).
tff(f_85,axiom,
! [X23,X24] :
( p11(f12(X23),f12(X24))
| ~ p10(X23,X24) ),
file(unknown,unknown) ).
tff(f_188,axiom,
! [X40] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X40))),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X20] : p11(X20,X20),
file(unknown,unknown) ).
tff(f_162,axiom,
! [X36,X37,X39,X38] :
( p20(X36,X37)
| ~ p11(X39,X37)
| ~ p20(X38,X39)
| ~ p11(X38,X36) ),
file(unknown,unknown) ).
tff(f_190,axiom,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
file(unknown,unknown) ).
tff(c_299,plain,
! [X9_130] : p10(f13(f6(c22),X9_130),f13(f6(c24),f16(c26,X9_130))),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_2,plain,
! [X0_1] : p10(X0_1,X0_1),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_270,plain,
! [X0_121,X2_122,X1_123] :
( ~ p10(X0_121,X2_122)
| ~ p10(X0_121,X1_123)
| p10(X1_123,X2_122) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_276,plain,
! [X0_1,X1_123] :
( ~ p10(X0_1,X1_123)
| p10(X1_123,X0_1) ),
inference(resolution,[status(thm)],[c_2,c_270]) ).
tff(c_304,plain,
! [X9_130] : p10(f13(f6(c24),f16(c26,X9_130)),f13(f6(c22),X9_130)),
inference(resolution,[status(thm)],[c_299,c_276]) ).
tff(c_36,plain,
! [X23_22,X24_23] :
( ~ p10(X23_22,X24_23)
| p11(f12(X23_22),f12(X24_23)) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_1010,plain,
! [X40_231] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X40_231))),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_10,plain,
! [X20_5] : p11(X20_5,X20_5),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_546,plain,
! [X38_163,X36_164,X39_165,X37_166] :
( ~ p11(X38_163,X36_164)
| ~ p20(X38_163,X39_165)
| ~ p11(X39_165,X37_166)
| p20(X36_164,X37_166) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_561,plain,
! [X20_5,X39_165,X37_166] :
( ~ p20(X20_5,X39_165)
| ~ p11(X39_165,X37_166)
| p20(X20_5,X37_166) ),
inference(resolution,[status(thm)],[c_10,c_546]) ).
tff(c_4818,plain,
! [X40_443,X37_444] :
( ~ p11(f12(f13(f6(c24),X40_443)),X37_444)
| p20(f12(f13(f6(c22),f14(f15(f7(c25))))),X37_444) ),
inference(resolution,[status(thm)],[c_1010,c_561]) ).
tff(c_75726,plain,
! [X24_1387,X40_1388] :
( p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(X24_1387))
| ~ p10(f13(f6(c24),X40_1388),X24_1387) ),
inference(resolution,[status(thm)],[c_36,c_4818]) ).
tff(c_75759,plain,
! [X9_130] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),X9_130))),
inference(resolution,[status(thm)],[c_304,c_75726]) ).
tff(c_66,plain,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_340672,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75759,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN620-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.12 % 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
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Apr 9 08:04:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 164.99/131.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 164.99/131.35
% 164.99/131.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------