%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN622-1 : 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 : n024.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 29.70s 17.99s
% Output : CNFRefutation 29.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 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 : 18 ( 18 usr; 6 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p8 > p3 > p22 > p20 > p2 > p19 > p11 > p21 > f18 > f17 > f16 > f12 > #nlpp > f7 > f6 > f5 > f4 > f15 > f14 > f13 > f10 > c28 > c27 > c26 > c25 > c24 > c23
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p22,type,
p22: ( $i * $i ) > $o ).
tff(f12,type,
f12: ( $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(p20,type,
p20: ( $i * $i ) > $o ).
tff(c23,type,
c23: $i ).
tff(f13,type,
f13: $i > $i ).
tff(f17,type,
f17: ( $i * $i ) > $i ).
tff(p11,type,
p11: ( $i * $i ) > $o ).
tff(p8,type,
p8: ( $i * $i ) > $o ).
tff(c27,type,
c27: $i ).
tff(f18,type,
f18: ( $i * $i ) > $i ).
tff(f5,type,
f5: $i > $i ).
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(f4,type,
f4: $i > $i ).
tff(f16,type,
f16: ( $i * $i ) > $i ).
tff(c28,type,
c28: $i ).
tff(p21,type,
p21: $i > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(c24,type,
c24: $i ).
tff(f10,type,
f10: $i > $i ).
tff(f15,type,
f15: $i > $i ).
tff(f_23,axiom,
! [X0] : p11(X0,X0),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X50,X51] : p8(f16(X50,f17(X51,X50)),X51),
file(unknown,unknown) ).
tff(f_127,axiom,
! [X43] : p8(f12(f13(c23),X43),f12(f13(c26),f16(c27,X43))),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X36] : p8(X36,X36),
file(unknown,unknown) ).
tff(f_109,axiom,
! [X37,X38,X36] :
( p8(X37,X38)
| ~ p8(X36,X37)
| ~ p8(X36,X38) ),
file(unknown,unknown) ).
tff(f_180,axiom,
! [X39,X40,X41,X42] :
( p8(f12(X39,X40),f12(X41,X42))
| ~ p11(X39,X41)
| ~ p8(X40,X42) ),
file(unknown,unknown) ).
tff(f_131,axiom,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
file(unknown,unknown) ).
tff(c_2,plain,
! [X0_1] : p11(X0_1,X0_1),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_16,plain,
! [X50_6,X51_7] : p8(f16(X50_6,f17(X51_7,X50_6)),X51_7),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_341,plain,
! [X43_147] : p8(f12(f13(c23),X43_147),f12(f13(c26),f16(c27,X43_147))),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_6,plain,
! [X36_3] : p8(X36_3,X36_3),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_92,plain,
! [X36_98,X38_99,X37_100] :
( ~ p8(X36_98,X38_99)
| ~ p8(X36_98,X37_100)
| p8(X37_100,X38_99) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_101,plain,
! [X36_3,X37_100] :
( ~ p8(X36_3,X37_100)
| p8(X37_100,X36_3) ),
inference(resolution,[status(thm)],[c_6,c_92]) ).
tff(c_1921,plain,
! [X43_307] : p8(f12(f13(c26),f16(c27,X43_307)),f12(f13(c23),X43_307)),
inference(resolution,[status(thm)],[c_341,c_101]) ).
tff(c_822,plain,
! [X40_214,X42_215,X39_216,X41_217] :
( ~ p8(X40_214,X42_215)
| ~ p11(X39_216,X41_217)
| p8(f12(X39_216,X40_214),f12(X41_217,X42_215)) ),
inference(cnfTransformation,[status(thm)],[f_180]) ).
tff(c_42,plain,
! [X36_34,X38_33,X37_32] :
( ~ p8(X36_34,X38_33)
| ~ p8(X36_34,X37_32)
| p8(X37_32,X38_33) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_832,plain,
! [X42_215,X40_214,X37_32,X41_217,X39_216] :
( ~ p8(f12(X39_216,X40_214),X37_32)
| p8(X37_32,f12(X41_217,X42_215))
| ~ p8(X40_214,X42_215)
| ~ p11(X39_216,X41_217) ),
inference(resolution,[status(thm)],[c_822,c_42]) ).
tff(c_87036,plain,
! [X43_1578,X41_1579,X42_1580] :
( p8(f12(f13(c23),X43_1578),f12(X41_1579,X42_1580))
| ~ p8(f16(c27,X43_1578),X42_1580)
| ~ p11(f13(c26),X41_1579) ),
inference(resolution,[status(thm)],[c_1921,c_832]) ).
tff(c_52,plain,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_87083,plain,
( ~ p8(f16(c27,f17(c28,c27)),c28)
| ~ p11(f13(c26),f13(c26)) ),
inference(resolution,[status(thm)],[c_87036,c_52]) ).
tff(c_87113,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16,c_87083]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN622-1 : TPTP v9.0.0. Released v2.5.0.
% 0.06/0.12 % 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
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Apr 9 08:04:36 EDT 2025
% 0.12/0.33 % CPUTime :
% 29.70/17.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.70/17.99
% 29.70/17.99 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------