%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN986+1.000 : TPTP v9.0.0. Released v4.0.0.
% 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 : n027.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 10:08:36 PM UTC 2025
% Result : Theorem 3.00s 2.19s
% Output : CNFRefutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 4 ( 3 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r > #nlpp > succ > zero
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(r,type,
r: ( $i * $i * $i ) > $o ).
tff(succ,type,
succ: $i > $i ).
tff(zero,type,
zero: $i ).
tff(f_57,axiom,
! [Y] : r(Y,zero,succ(Y)),
file('/export/starexec/sandbox/benchmark/Axioms/SYN002+0.ax',hyp1) ).
tff(f_68,negated_conjecture,
~ ? [Z0] : r(zero,zero,Z0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ck) ).
tff(c_8,plain,
! [Y_8] : r(Y_8,zero,succ(Y_8)),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_6,plain,
! [Z0_6] : ~ r(zero,zero,Z0_6),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_13,plain,
$false,
inference(resolution,[status(thm)],[c_8,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN986+1.000 : TPTP v9.0.0. Released v4.0.0.
% 0.04/0.13 % 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
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 08:43:35 EDT 2025
% 0.13/0.35 % CPUTime :
% 3.00/2.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.00/2.19
% 3.00/2.19 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------