%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN918+1 : TPTP v9.0.0. Released v3.1.0.
% 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 : n024.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 10:08:26 PM UTC 2025
% Result : Theorem 2.59s 1.60s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 59 ( 27 ~; 19 |; 6 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 25 ( 23 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ h > g > f > #nlpp > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(h,type,
h: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(g,type,
g: $i > $o ).
tff(f,type,
f: $i > $o ).
tff(f_63,negated_conjecture,
~ ( ( ! [X] :
( ( ( f(X)
& g(X) )
=> h(X) )
=> ? [Y] :
( f(Y)
& ~ g(Y) ) )
& ( ! [W] :
( f(W)
=> g(W) )
| ! [Z] :
( f(Z)
=> h(Z) ) ) )
=> ( ! [R] :
( ( f(R)
& h(R) )
=> g(R) )
=> ? [V] :
( f(V)
& g(V)
& ~ h(V) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tff(c_14,plain,
! [X_1] :
( ~ h(X_1)
| f('#skF_1'(X_1)) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_6,plain,
! [Z_4,W_3] :
( h(Z_4)
| ~ f(Z_4)
| g(W_3)
| ~ f(W_3) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_31,plain,
! [W_3] :
( g(W_3)
| ~ f(W_3) ),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_32,plain,
! [W_15] :
( g(W_15)
| ~ f(W_15) ),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_8,plain,
! [X_1] :
( ~ h(X_1)
| ~ g('#skF_1'(X_1)) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_45,plain,
! [X_16] :
( ~ h(X_16)
| ~ f('#skF_1'(X_16)) ),
inference(resolution,[status(thm)],[c_32,c_8]) ).
tff(c_55,plain,
! [X_1] : ~ h(X_1),
inference(resolution,[status(thm)],[c_14,c_45]) ).
tff(c_2,plain,
! [V_6] :
( h(V_6)
| ~ g(V_6)
| ~ f(V_6) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_60,plain,
! [V_18] :
( ~ g(V_18)
| ~ f(V_18) ),
inference(negUnitSimplification,[status(thm)],[c_55,c_2]) ).
tff(c_64,plain,
! [W_3] : ~ f(W_3),
inference(resolution,[status(thm)],[c_31,c_60]) ).
tff(c_18,plain,
! [X_1] :
( f(X_1)
| f('#skF_1'(X_1)) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_68,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_64,c_18]) ).
tff(c_70,plain,
! [Z_19] :
( h(Z_19)
| ~ f(Z_19) ),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_4,plain,
! [R_5] :
( g(R_5)
| ~ h(R_5)
| ~ f(R_5) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_75,plain,
! [Z_20] :
( g(Z_20)
| ~ f(Z_20) ),
inference(resolution,[status(thm)],[c_70,c_4]) ).
tff(c_88,plain,
! [X_21] :
( ~ h(X_21)
| ~ f('#skF_1'(X_21)) ),
inference(resolution,[status(thm)],[c_75,c_8]) ).
tff(c_98,plain,
! [X_1] : ~ h(X_1),
inference(resolution,[status(thm)],[c_14,c_88]) ).
tff(c_69,plain,
! [Z_4] :
( h(Z_4)
| ~ f(Z_4) ),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_101,plain,
! [Z_4] : ~ f(Z_4),
inference(negUnitSimplification,[status(thm)],[c_98,c_69]) ).
tff(c_106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101,c_101,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN918+1 : TPTP v9.0.0. Released v3.1.0.
% 0.11/0.12 % 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
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Apr 9 08:41:06 EDT 2025
% 0.11/0.33 % CPUTime :
% 2.59/1.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.59/1.60
% 2.59/1.60 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------