%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN334+1 : TPTP v9.0.0. Released v2.0.0.
% 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 : n011.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 10:03:14 PM UTC 2025
% Result : Theorem 2.91s 1.75s
% Output : CNFRefutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 54 ( 25 ~; 22 |; 0 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 36 ( 34 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_g > big_f > #nlpp > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(big_g,type,
big_g: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(big_f,type,
big_f: ( $i * $i ) > $o ).
tff(f_42,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( ( big_f(X,Y)
=> ( big_f(X,Z)
<=> big_g(Y,Z) ) )
=> ( ( big_f(X,Y)
<=> ( big_f(Z,Z)
=> big_g(Z,Z) ) )
=> ( big_g(X,Y)
<=> big_g(Z,Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_14_6) ).
tff(c_21,plain,
! [X_8,Y_9] :
( big_g(X_8,Y_9)
| big_g('#skF_1'(X_8,Y_9),'#skF_1'(X_8,Y_9)) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_12,plain,
! [X_1,Y_2] :
( ~ big_g('#skF_1'(X_1,Y_2),'#skF_1'(X_1,Y_2))
| big_f(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_25,plain,
! [X_8,Y_9] :
( big_f(X_8,Y_9)
| big_g(X_8,Y_9) ),
inference(resolution,[status(thm)],[c_21,c_12]) ).
tff(c_42,plain,
! [X_18,Y_19] :
( big_f(X_18,'#skF_1'(X_18,Y_19))
| ~ big_g(Y_19,'#skF_1'(X_18,Y_19))
| ~ big_f(X_18,Y_19) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_46,plain,
! [X_18,X_8] :
( big_f(X_18,'#skF_1'(X_18,X_8))
| ~ big_f(X_18,X_8)
| big_f(X_8,'#skF_1'(X_18,X_8)) ),
inference(resolution,[status(thm)],[c_25,c_42]) ).
tff(c_59,plain,
! [X_18] :
( ~ big_f(X_18,X_18)
| big_f(X_18,'#skF_1'(X_18,X_18)) ),
inference(factorization,[status(thm),theory(equality)],[c_46]) ).
tff(c_75,plain,
! [X_24] :
( ~ big_f(X_24,X_24)
| big_f(X_24,'#skF_1'(X_24,X_24)) ),
inference(factorization,[status(thm),theory(equality)],[c_46]) ).
tff(c_18,plain,
! [Y_2,X_1] :
( big_g(Y_2,'#skF_1'(X_1,Y_2))
| ~ big_f(X_1,'#skF_1'(X_1,Y_2))
| ~ big_f(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_78,plain,
! [X_24] :
( big_g(X_24,'#skF_1'(X_24,X_24))
| ~ big_f(X_24,X_24) ),
inference(resolution,[status(thm)],[c_75,c_18]) ).
tff(c_31,plain,
! [X_12,Y_13] :
( ~ big_g('#skF_1'(X_12,Y_13),'#skF_1'(X_12,Y_13))
| ~ big_g(X_12,Y_13) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_38,plain,
! [X_12,Y_13] :
( ~ big_g(X_12,Y_13)
| big_f('#skF_1'(X_12,Y_13),'#skF_1'(X_12,Y_13)) ),
inference(resolution,[status(thm)],[c_25,c_31]) ).
tff(c_66,plain,
! [X_22,Y_23] :
( big_g('#skF_1'(X_22,Y_23),'#skF_1'(X_22,Y_23))
| ~ big_f('#skF_1'(X_22,Y_23),'#skF_1'(X_22,Y_23))
| ~ big_f(X_22,Y_23) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_4,plain,
! [X_1,Y_2] :
( ~ big_g('#skF_1'(X_1,Y_2),'#skF_1'(X_1,Y_2))
| ~ big_g(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_83,plain,
! [X_26,Y_27] :
( ~ big_g(X_26,Y_27)
| ~ big_f('#skF_1'(X_26,Y_27),'#skF_1'(X_26,Y_27))
| ~ big_f(X_26,Y_27) ),
inference(resolution,[status(thm)],[c_66,c_4]) ).
tff(c_92,plain,
! [X_28,Y_29] :
( ~ big_f(X_28,Y_29)
| ~ big_g(X_28,Y_29) ),
inference(resolution,[status(thm)],[c_38,c_83]) ).
tff(c_118,plain,
! [X_32] :
( ~ big_f(X_32,'#skF_1'(X_32,X_32))
| ~ big_f(X_32,X_32) ),
inference(resolution,[status(thm)],[c_78,c_92]) ).
tff(c_126,plain,
! [X_18] : ~ big_f(X_18,X_18),
inference(resolution,[status(thm)],[c_59,c_118]) ).
tff(c_14,plain,
! [X_1,Y_2] :
( big_f('#skF_1'(X_1,Y_2),'#skF_1'(X_1,Y_2))
| big_f(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_128,plain,
! [X_1,Y_2] : big_f(X_1,Y_2),
inference(negUnitSimplification,[status(thm)],[c_126,c_14]) ).
tff(c_142,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_128,c_126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN334+1 : TPTP v9.0.0. Released v2.0.0.
% 0.12/0.13 % 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 : n011.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
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Apr 9 07:18:48 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.91/1.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.91/1.76
% 2.91/1.76 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------