%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG201+1 : TPTP v9.0.0. Released v2.7.0.
% 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 : n020.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 05:24:45 PM UTC 2025
% Result : Theorem 2.98s 1.73s
% Output : CNFRefutation 2.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 10 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 41 ( 18 ~; 8 |; 4 &)
% ( 0 <=>; 11 =>; 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sorti2 > sorti1 > op2 > op1 > #nlpp > j > h > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(op2,type,
op2: ( $i * $i ) > $i ).
tff(op1,type,
op1: ( $i * $i ) > $i ).
tff(sorti2,type,
sorti2: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(sorti1,type,
sorti1: $i > $o ).
tff(h,type,
h: $i > $i ).
tff(j,type,
j: $i > $i ).
tff(f_50,axiom,
~ ! [U] :
( sorti2(U)
=> ( op2(U,U) != U ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f_87,negated_conjecture,
~ ( ( ! [U] :
( sorti1(U)
=> sorti2(h(U)) )
& ! [V] :
( sorti2(V)
=> sorti1(j(V)) ) )
=> ~ ( ! [W] :
( sorti1(W)
=> ! [X] :
( sorti1(X)
=> ( h(op1(W,X)) = op2(h(W),h(X)) ) ) )
& ! [Y] :
( sorti2(Y)
=> ! [Z] :
( sorti2(Z)
=> ( j(op2(Y,Z)) = op1(j(Y),j(Z)) ) ) )
& ! [X1] :
( sorti2(X1)
=> ( h(j(X1)) = X1 ) )
& ! [X2] :
( sorti1(X2)
=> ( j(h(X2)) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_44,axiom,
! [U] :
( sorti1(U)
=> ( op1(U,U) != U ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(c_10,plain,
sorti2('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_20,plain,
! [V_9] :
( sorti1(j(V_9))
| ~ sorti2(V_9) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_8,plain,
op2('#skF_1','#skF_1') = '#skF_1',
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_69,plain,
! [Y_27,Z_28] :
( ( op1(j(Y_27),j(Z_28)) = j(op2(Y_27,Z_28)) )
| ~ sorti2(Z_28)
| ~ sorti2(Y_27) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_6,plain,
! [U_7] :
( ( op1(U_7,U_7) != U_7 )
| ~ sorti1(U_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_108,plain,
! [Z_31] :
( ( j(op2(Z_31,Z_31)) != j(Z_31) )
| ~ sorti1(j(Z_31))
| ~ sorti2(Z_31)
| ~ sorti2(Z_31) ),
inference(superposition,[status(thm),theory(equality)],[c_69,c_6]) ).
tff(c_113,plain,
( ~ sorti1(j('#skF_1'))
| ~ sorti2('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_108]) ).
tff(c_116,plain,
~ sorti1(j('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_113]) ).
tff(c_119,plain,
~ sorti2('#skF_1'),
inference(resolution,[status(thm)],[c_20,c_116]) ).
tff(c_123,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10,c_119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : ALG201+1 : TPTP v9.0.0. Released v2.7.0.
% 0.09/0.14 % 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
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Apr 6 07:08:49 EDT 2025
% 0.13/0.36 % CPUTime :
% 2.98/1.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.98/1.73
% 2.98/1.73 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------