%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP700-10 : TPTP v9.0.0. Released v8.1.0.
% 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 06:27:00 PM UTC 2025
% Result : Unsatisfiable 5.33s 2.33s
% Output : CNFRefutation 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ tuple > rd > mult > ld > #nlpp > x0 > unit
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(ld,type,
ld: ( $i * $i ) > $i ).
tff(rd,type,
rd: ( $i * $i ) > $i ).
tff(tuple,type,
tuple: ( $i * $i ) > $i ).
tff(unit,type,
unit: $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(x0,type,
x0: $i ).
tff(f_33,axiom,
! [A] : ( mult(A,unit) = A ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A,B] : ( ld(A,mult(A,B)) = B ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A,B] : ( mult(A,ld(A,B)) = B ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [A] : ( mult(unit,A) = A ),
file(unknown,unknown) ).
tff(f_39,axiom,
! [A,B,C] : ( mult(mult(A,B),mult(B,mult(C,B))) = mult(mult(A,mult(B,mult(B,C))),B) ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [A,B] : ( rd(mult(A,B),B) = A ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A,B] : ( mult(rd(A,B),B) = A ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [X1] : ( tuple(mult(X1,x0),mult(x0,X1)) != tuple(unit,unit) ),
file(unknown,unknown) ).
tff(c_10,plain,
! [A_9] : ( mult(A_9,unit) = A_9 ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_132,plain,
! [A_27,B_28] : ( ld(A_27,mult(A_27,B_28)) = B_28 ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_155,plain,
! [A_9] : ( ld(A_9,A_9) = unit ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_132]) ).
tff(c_4,plain,
! [A_3,B_4] : ( ld(A_3,mult(A_3,B_4)) = B_4 ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_2,plain,
! [A_1,B_2] : ( mult(A_1,ld(A_1,B_2)) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_12,plain,
! [A_10] : ( mult(unit,A_10) = A_10 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_390,plain,
! [A_42,B_43,C_44] : ( mult(mult(A_42,mult(B_43,mult(B_43,C_44))),B_43) = mult(mult(A_42,B_43),mult(B_43,mult(C_44,B_43))) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_469,plain,
! [B_43,C_44] : ( mult(mult(unit,B_43),mult(B_43,mult(C_44,B_43))) = mult(mult(B_43,mult(B_43,C_44)),B_43) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_390]) ).
tff(c_824,plain,
! [B_52,C_53] : ( mult(mult(B_52,mult(B_52,C_53)),B_52) = mult(B_52,mult(B_52,mult(C_53,B_52))) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_469]) ).
tff(c_2700,plain,
! [A_82,B_83] : ( mult(A_82,mult(A_82,mult(ld(A_82,B_83),A_82))) = mult(mult(A_82,B_83),A_82) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_824]) ).
tff(c_8,plain,
! [A_7,B_8] : ( rd(mult(A_7,B_8),B_8) = A_7 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_3272,plain,
! [A_89,B_90] : ( rd(mult(mult(A_89,B_90),A_89),mult(A_89,mult(ld(A_89,B_90),A_89))) = A_89 ),
inference(superposition,[status(thm),theory(equality)],[c_2700,c_8]) ).
tff(c_3412,plain,
! [A_91] : ( rd(mult(A_91,A_91),mult(A_91,mult(ld(A_91,unit),A_91))) = A_91 ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_3272]) ).
tff(c_166,plain,
! [A_29,B_30] : ( mult(rd(A_29,B_30),B_30) = A_29 ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_172,plain,
! [A_29,B_30] : ( ld(rd(A_29,B_30),A_29) = B_30 ),
inference(superposition,[status(thm),theory(equality)],[c_166,c_4]) ).
tff(c_3418,plain,
! [A_91] : ( mult(A_91,mult(ld(A_91,unit),A_91)) = ld(A_91,mult(A_91,A_91)) ),
inference(superposition,[status(thm),theory(equality)],[c_3412,c_172]) ).
tff(c_3650,plain,
! [A_93] : ( mult(A_93,mult(ld(A_93,unit),A_93)) = A_93 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_3418]) ).
tff(c_866,plain,
! [B_52,C_53] : ( ld(mult(B_52,mult(B_52,C_53)),mult(B_52,mult(B_52,mult(C_53,B_52)))) = B_52 ),
inference(superposition,[status(thm),theory(equality)],[c_824,c_4]) ).
tff(c_3690,plain,
! [A_93] : ( ld(mult(mult(ld(A_93,unit),A_93),mult(mult(ld(A_93,unit),A_93),A_93)),mult(mult(ld(A_93,unit),A_93),mult(mult(ld(A_93,unit),A_93),A_93))) = mult(ld(A_93,unit),A_93) ),
inference(superposition,[status(thm),theory(equality)],[c_3650,c_866]) ).
tff(c_3814,plain,
! [A_94] : ( mult(ld(A_94,unit),A_94) = unit ),
inference(demodulation,[status(thm),theory(equality)],[c_155,c_3690]) ).
tff(c_283,plain,
! [X1_36] : ( tuple(mult(X1_36,x0),mult(x0,X1_36)) != tuple(unit,unit) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_291,plain,
! [B_2] : ( tuple(mult(ld(x0,B_2),x0),B_2) != tuple(unit,unit) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_283]) ).
tff(c_3965,plain,
$false,
inference(superposition,[status(thm),theory(equality)],[c_3814,c_291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP700-10 : TPTP v9.0.0. Released v8.1.0.
% 0.03/0.13 % 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
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 7 22:28:02 EDT 2025
% 0.12/0.34 % CPUTime :
% 5.33/2.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.33/2.34
% 5.33/2.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------