%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% 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 : n028.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 11:13:05 AM UTC 2026
% Result : Theorem 3.93s 2.56s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 7 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > not > #skF_2 > #skF_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(not,type,
not: $i > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_35,axiom,
! [A,B,C,D,E] : is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(D,E)),implies(B,implies(not(D),not(A)))),implies(A,D)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5) ).
tff(f_33,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
tff(f_38,negated_conjecture,
~ ! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_1) ).
tff(c_4,plain,
! [A_3,D_6,C_5,E_7,B_4] : is_a_theorem(implies(implies(A_3,B_4),implies(implies(implies(C_5,implies(D_6,E_7)),implies(B_4,implies(not(D_6),not(A_3)))),implies(A_3,D_6)))),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_8,plain,
! [D_11,B_14,E_10,A_12,C_13] : is_a_theorem(implies(implies(A_12,B_14),implies(implies(implies(C_13,implies(D_11,E_10)),implies(B_14,implies(not(D_11),not(A_12)))),implies(A_12,D_11)))),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( is_a_theorem(Y_2)
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(implies(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_12,plain,
! [D_11,B_14,E_10,A_12,C_13] :
( is_a_theorem(implies(implies(implies(C_13,implies(D_11,E_10)),implies(B_14,implies(not(D_11),not(A_12)))),implies(A_12,D_11)))
| ~ is_a_theorem(implies(A_12,B_14)) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_13,plain,
! [E_18,D_19,C_16,A_17,B_15] :
( is_a_theorem(implies(implies(implies(C_16,implies(D_19,E_18)),implies(B_15,implies(not(D_19),not(A_17)))),implies(A_17,D_19)))
| ~ is_a_theorem(implies(A_17,B_15)) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_18,plain,
! [A_21,D_24,C_22,E_20,B_23] :
( is_a_theorem(implies(A_21,D_24))
| ~ is_a_theorem(implies(implies(C_22,implies(D_24,E_20)),implies(B_23,implies(not(D_24),not(A_21)))))
| ~ is_a_theorem(implies(A_21,B_23)) ),
inference(resolution,[status(thm)],[c_13,c_2]) ).
tff(c_29,plain,
! [A_25,B_26,A_27] :
( is_a_theorem(implies(A_25,B_26))
| ~ is_a_theorem(implies(A_25,A_27))
| ~ is_a_theorem(implies(A_27,B_26)) ),
inference(resolution,[status(thm)],[c_12,c_18]) ).
tff(c_37,plain,
! [E_33,B_38,A_36,C_37,D_34,B_35] :
( is_a_theorem(implies(implies(A_36,B_38),B_35))
| ~ is_a_theorem(implies(implies(implies(implies(C_37,implies(D_34,E_33)),implies(B_38,implies(not(D_34),not(A_36)))),implies(A_36,D_34)),B_35)) ),
inference(resolution,[status(thm)],[c_4,c_29]) ).
tff(c_48,plain,
! [B_39,D_40,A_41] :
( is_a_theorem(implies(implies(B_39,D_40),implies(A_41,D_40)))
| ~ is_a_theorem(implies(A_41,B_39)) ),
inference(resolution,[status(thm)],[c_12,c_37]) ).
tff(c_35,plain,
! [A_3,D_6,C_5,E_7,B_4,B_26] :
( is_a_theorem(implies(implies(A_3,B_4),B_26))
| ~ is_a_theorem(implies(implies(implies(implies(C_5,implies(D_6,E_7)),implies(B_4,implies(not(D_6),not(A_3)))),implies(A_3,D_6)),B_26)) ),
inference(resolution,[status(thm)],[c_4,c_29]) ).
tff(c_357,plain,
! [A_143,C_144,D_142,E_141,B_145,A_140] :
( is_a_theorem(implies(implies(A_143,B_145),implies(A_140,implies(A_143,D_142))))
| ~ is_a_theorem(implies(A_140,implies(implies(C_144,implies(D_142,E_141)),implies(B_145,implies(not(D_142),not(A_143)))))) ),
inference(resolution,[status(thm)],[c_48,c_35]) ).
tff(c_377,plain,
! [A_143,A_3,B_4] : is_a_theorem(implies(implies(A_143,A_3),implies(implies(A_3,B_4),implies(A_143,B_4)))),
inference(resolution,[status(thm)],[c_4,c_357]) ).
tff(c_6,plain,
~ is_a_theorem(implies(implies('#skF_1','#skF_2'),implies(implies('#skF_2','#skF_3'),implies('#skF_1','#skF_3')))),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_380,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_377,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% 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
% 0.07/0.35 % Computer : n028.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 16:16:44 UTC 2026
% 0.14/0.36 % CPUTime :
% 3.93/2.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.93/2.57
% 3.93/2.57 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------