%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LDA003-1 : TPTP v9.0.0. Released v1.0.0.
% 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 : n008.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 07:40:36 PM UTC 2025
% Result : Unsatisfiable 2.74s 1.69s
% Output : CNFRefutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ left > f > #nlpp > u > n3 > n2 > n1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(u,type,
u: $i ).
tff(n3,type,
n3: $i ).
tff(n1,type,
n1: $i ).
tff(left,type,
left: ( $i * $i ) > $o ).
tff(n2,type,
n2: $i ).
tff(f,type,
f: ( $i * $i ) > $i ).
tff(f_42,axiom,
~ left(n3,u),
file(unknown,unknown) ).
tff(f_39,axiom,
u = f(n2,n2),
file(unknown,unknown) ).
tff(f_37,axiom,
n2 = f(n1,n1),
file(unknown,unknown) ).
tff(f_38,axiom,
n3 = f(n2,n1),
file(unknown,unknown) ).
tff(f_24,axiom,
! [X,Y,Z] : ( f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X,Y] : left(X,f(X,Y)),
file(unknown,unknown) ).
tff(c_14,plain,
~ left(n3,u),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_12,plain,
f(n2,n2) = u,
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_8,plain,
f(n1,n1) = n2,
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_10,plain,
f(n2,n1) = n3,
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_50,plain,
! [X_14,Y_15,Z_16] : ( f(f(X_14,Y_15),f(X_14,Z_16)) = f(X_14,f(Y_15,Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_4,plain,
! [X_4,Y_5] : left(X_4,f(X_4,Y_5)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_128,plain,
! [X_23,Y_24,Z_25] : left(f(X_23,Y_24),f(X_23,f(Y_24,Z_25))),
inference(superposition,[status(thm),theory(equality)],[c_50,c_4]) ).
tff(c_159,plain,
! [Z_26] : left(n3,f(n2,f(n1,Z_26))),
inference(superposition,[status(thm),theory(equality)],[c_10,c_128]) ).
tff(c_163,plain,
left(n3,f(n2,n2)),
inference(superposition,[status(thm),theory(equality)],[c_8,c_159]) ).
tff(c_165,plain,
left(n3,u),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_163]) ).
tff(c_167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LDA003-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % 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
% 0.13/0.33 % Computer : n008.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 : Tue Apr 8 07:38:17 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.74/1.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.74/1.70
% 2.74/1.70 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------