%------------------------------------------------------------------------------
% 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 : n011.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 : Unsatisfiable 2.94s 2.20s
% Output : CNFRefutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 23 ( 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ a_truth > implies > #nlpp > not > sk1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk1,type,
sk1: $i ).
tff(not,type,
not: $i > $i ).
tff(a_truth,type,
a_truth: $i > $o ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_31,axiom,
! [A,B] : a_truth(implies(A,implies(B,A))),
file(unknown,unknown) ).
tff(f_33,axiom,
! [A,B,C] : a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
file(unknown,unknown) ).
tff(f_29,axiom,
! [B,A] :
( a_truth(B)
| ~ a_truth(A)
| ~ a_truth(implies(A,B)) ),
file(unknown,unknown) ).
tff(f_37,axiom,
~ a_truth(implies(sk1,sk1)),
file(unknown,unknown) ).
tff(c_4,plain,
! [A_3,B_4] : a_truth(implies(A_3,implies(B_4,A_3))),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_49,plain,
! [A_22,B_23,C_24] : a_truth(implies(implies(A_22,implies(B_23,C_24)),implies(implies(A_22,B_23),implies(A_22,C_24)))),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_2,plain,
! [A_2,B_1] :
( ~ a_truth(implies(A_2,B_1))
| ~ a_truth(A_2)
| a_truth(B_1) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_57,plain,
! [A_28,B_29,C_30] :
( ~ a_truth(implies(A_28,implies(B_29,C_30)))
| a_truth(implies(implies(A_28,B_29),implies(A_28,C_30))) ),
inference(resolution,[status(thm)],[c_49,c_2]) ).
tff(c_62,plain,
! [A_31,B_32,C_33] :
( ~ a_truth(implies(A_31,B_32))
| a_truth(implies(A_31,C_33))
| ~ a_truth(implies(A_31,implies(B_32,C_33))) ),
inference(resolution,[status(thm)],[c_57,c_2]) ).
tff(c_89,plain,
! [A_34,B_35] :
( ~ a_truth(implies(A_34,B_35))
| a_truth(implies(A_34,A_34)) ),
inference(resolution,[status(thm)],[c_4,c_62]) ).
tff(c_107,plain,
! [A_3] : a_truth(implies(A_3,A_3)),
inference(resolution,[status(thm)],[c_4,c_89]) ).
tff(c_10,plain,
~ a_truth(implies(sk1,sk1)),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_111,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107,c_10]) ).
%------------------------------------------------------------------------------
%----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
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 20:09:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 2.94/2.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.08/2.20
% 3.08/2.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------