%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL181+1 : TPTP v9.3.1. 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:11:25 AM UTC 2026
% Result : Theorem 2.47s 1.85s
% Output : CNFRefutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 1 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 3 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > q > p
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p,type,
p: $o ).
tff(q,type,
q: $o ).
tff(f_38,negated_conjecture,
~ ( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel4) ).
tff(c_8,plain,
~ p,
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_18,plain,
( p
| q ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_19,plain,
q,
inference(negUnitSimplification,[status(thm)],[c_8,c_18]) ).
tff(c_4,plain,
~ q,
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_21,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % 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
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 4 23:22:19 UTC 2026
% 0.11/0.38 % CPUTime :
% 2.47/1.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.47/1.86
% 2.47/1.86 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------