%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n016.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 11:11:53 AM UTC 2026
% Result : Theorem 3.31s 2.22s
% Output : CNFRefutation 3.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 24 ( 12 ~; 8 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 26 ( 25 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ a_truth > implies > #nlpp > not > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(not,type,
not: $i > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(a_truth,type,
a_truth: $i > $o ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_47,negated_conjecture,
~ ~ ( ! [P,Q] :
( ~ a_truth(implies(P,Q))
| ~ a_truth(P)
| a_truth(Q) )
& ! [P,Q] : a_truth(implies(P,implies(Q,P)))
& ! [P,Q,R] : a_truth(implies(implies(P,implies(Q,R)),implies(implies(P,Q),implies(P,R))))
& ! [P,Q] : a_truth(implies(implies(not(P),not(Q)),implies(Q,P)))
& ? [A] : ~ a_truth(implies(A,A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147) ).
tff(c_8,plain,
! [P_3,Q_4] : a_truth(implies(P_3,implies(Q_4,P_3))),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_49,plain,
! [P_22,Q_23,R_24] : a_truth(implies(implies(P_22,implies(Q_23,R_24)),implies(implies(P_22,Q_23),implies(P_22,R_24)))),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_10,plain,
! [Q_2,P_1] :
( a_truth(Q_2)
| ~ a_truth(P_1)
| ~ a_truth(implies(P_1,Q_2)) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_57,plain,
! [P_28,Q_29,R_30] :
( a_truth(implies(implies(P_28,Q_29),implies(P_28,R_30)))
| ~ a_truth(implies(P_28,implies(Q_29,R_30))) ),
inference(resolution,[status(thm)],[c_49,c_10]) ).
tff(c_62,plain,
! [P_31,R_32,Q_33] :
( a_truth(implies(P_31,R_32))
| ~ a_truth(implies(P_31,Q_33))
| ~ a_truth(implies(P_31,implies(Q_33,R_32))) ),
inference(resolution,[status(thm)],[c_57,c_10]) ).
tff(c_89,plain,
! [P_34,Q_35] :
( a_truth(implies(P_34,P_34))
| ~ a_truth(implies(P_34,Q_35)) ),
inference(resolution,[status(thm)],[c_8,c_62]) ).
tff(c_107,plain,
! [P_3] : a_truth(implies(P_3,P_3)),
inference(resolution,[status(thm)],[c_8,c_89]) ).
tff(c_2,plain,
~ a_truth(implies('#skF_1','#skF_1')),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_111,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % 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
% 0.08/0.37 % Computer : n016.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sat Sep 5 13:04:14 UTC 2026
% 0.08/0.37 % CPUTime :
% 3.31/2.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.31/2.22
% 3.31/2.22 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------