%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN596-1 : 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/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 : n018.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 10:04:00 PM UTC 2025
% Result : Unsatisfiable 113.27s 89.53s
% Output : CNFRefutation 113.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p9 > p3 > p2 > p18 > p17 > p16 > p12 > p10 > f11 > f14 > f13 > #nlpp > f8 > f7 > f6 > f5 > f4 > f15 > c24 > c23 > c22 > c21 > c20 > c19
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p16,type,
p16: ( $i * $i ) > $o ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(f7,type,
f7: $i > $i ).
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(p17,type,
p17: ( $i * $i ) > $o ).
tff(c22,type,
c22: $i ).
tff(f11,type,
f11: ( $i * $i * $i ) > $i ).
tff(f5,type,
f5: $i > $i ).
tff(f6,type,
f6: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(f8,type,
f8: $i > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(c19,type,
c19: $i ).
tff(c20,type,
c20: $i ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(p9,type,
p9: ( $i * $i ) > $o ).
tff(p18,type,
p18: ( $i * $i ) > $o ).
tff(c24,type,
c24: $i ).
tff(f15,type,
f15: $i > $i ).
tff(f_105,axiom,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file(unknown,unknown) ).
tff(f_29,axiom,
! [X28] : p2(X28,X28),
file(unknown,unknown) ).
tff(f_168,axiom,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file(unknown,unknown) ).
tff(f_23,axiom,
! [X0] : p10(X0,X0),
file(unknown,unknown) ).
tff(f_72,axiom,
! [X1,X2,X0] :
( p10(X1,X2)
| ~ p10(X0,X1)
| ~ p10(X0,X2) ),
file(unknown,unknown) ).
tff(f_129,axiom,
! [X24,X25,X27,X26] :
( p18(X24,X25)
| ~ p18(X27,X26)
| ~ p2(X27,X24)
| ~ p10(X26,X25) ),
file(unknown,unknown) ).
tff(f_107,axiom,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file(unknown,unknown) ).
tff(c_40,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_8,plain,
! [X28_4] : p2(X28_4,X28_4),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_56,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_2,plain,
! [X0_1] : p10(X0_1,X0_1),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_68,plain,
! [X0_76,X2_77,X1_78] :
( ~ p10(X0_76,X2_77)
| ~ p10(X0_76,X1_78)
| p10(X1_78,X2_77) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_71,plain,
! [X0_1,X1_78] :
( ~ p10(X0_1,X1_78)
| p10(X1_78,X0_1) ),
inference(resolution,[status(thm)],[c_2,c_68]) ).
tff(c_695,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(resolution,[status(thm)],[c_56,c_71]) ).
tff(c_46,plain,
! [X26_40,X25_38,X27_39,X24_37] :
( ~ p10(X26_40,X25_38)
| ~ p2(X27_39,X24_37)
| ~ p18(X27_39,X26_40)
| p18(X24_37,X25_38) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_31522,plain,
! [X27_1749,X24_1750] :
( ~ p2(X27_1749,X24_1750)
| ~ p18(X27_1749,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| p18(X24_1750,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) ),
inference(resolution,[status(thm)],[c_695,c_46]) ).
tff(c_195303,plain,
! [X28_6189] :
( ~ p18(X28_6189,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
| p18(X28_6189,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) ),
inference(resolution,[status(thm)],[c_8,c_31522]) ).
tff(c_42,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_195331,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(resolution,[status(thm)],[c_195303,c_42]) ).
tff(c_195344,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40,c_195331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN596-1 : TPTP v9.0.0. Released v2.5.0.
% 0.00/0.10 % 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
% 0.08/0.30 % Computer : n018.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Wed Apr 9 08:02:32 EDT 2025
% 0.08/0.31 % CPUTime :
% 113.27/89.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.27/89.54
% 113.27/89.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------