%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN062+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/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 : n031.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 10:02:21 PM UTC 2025
% Result : Theorem 2.62s 1.72s
% Output : CNFRefutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 7 ( 7 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_k > big_j > big_i > big_h > big_g > big_f > #nlpp > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(big_h,type,
big_h: $i > $o ).
tff(big_g,type,
big_g: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(big_i,type,
big_i: $i > $o ).
tff(big_f,type,
big_f: $i > $o ).
tff(big_j,type,
big_j: $i > $o ).
tff(big_k,type,
big_k: $i > $o ).
tff(f_51,negated_conjecture,
~ ! [X] :
( ( big_f(X)
& big_k(X) )
=> big_j(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel32) ).
tff(f_44,axiom,
! [X] :
( big_k(X)
=> big_h(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel32_3) ).
tff(f_34,axiom,
! [X] :
( ( big_f(X)
& ( big_g(X)
| big_h(X) ) )
=> big_i(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel32_1) ).
tff(f_40,axiom,
! [X] :
( ( big_i(X)
& big_h(X) )
=> big_j(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel32_2) ).
tff(c_14,plain,
big_f('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_12,plain,
big_k('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_15,plain,
! [X_4] :
( big_h(X_4)
| ~ big_k(X_4) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_19,plain,
big_h('#skF_1'),
inference(resolution,[status(thm)],[c_12,c_15]) ).
tff(c_27,plain,
! [X_6] :
( ~ big_h(X_6)
| big_i(X_6)
| ~ big_f(X_6) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_20,plain,
! [X_5] :
( big_j(X_5)
| ~ big_h(X_5)
| ~ big_i(X_5) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_10,plain,
~ big_j('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_23,plain,
( ~ big_h('#skF_1')
| ~ big_i('#skF_1') ),
inference(resolution,[status(thm)],[c_20,c_10]) ).
tff(c_26,plain,
~ big_i('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_19,c_23]) ).
tff(c_30,plain,
( ~ big_h('#skF_1')
| ~ big_f('#skF_1') ),
inference(resolution,[status(thm)],[c_27,c_26]) ).
tff(c_34,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_19,c_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN062+1 : TPTP v9.0.0. Released v2.0.0.
% 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
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Apr 9 06:54:52 EDT 2025
% 0.15/0.35 % CPUTime :
% 2.62/1.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.62/1.72
% 2.62/1.72 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------