%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL187-3 : TPTP v9.3.1. Released v2.3.0.
% 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 : 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 11:11:26 AM UTC 2026
% Result : Unsatisfiable 18.25s 6.75s
% Output : CNFRefutation 18.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 76 ( 76 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ theorem > axiom > or > implies > #nlpp > not > q > p
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(theorem,type,
theorem: $i > $o ).
tff(or,type,
or: ( $i * $i ) > $i ).
tff(not,type,
not: $i > $i ).
tff(q,type,
q: $i ).
tff(axiom,type,
axiom: $i > $o ).
tff(p,type,
p: $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(f_56,axiom,
! [X,Y] : ( implies(X,Y) = or(not(X),Y) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))),
file(unknown,unknown) ).
tff(f_48,axiom,
! [A,B] : axiom(implies(A,or(B,A))),
file(unknown,unknown) ).
tff(f_61,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file(unknown,unknown) ).
tff(f_69,axiom,
! [X,Y] :
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))),
file(unknown,unknown) ).
tff(f_77,axiom,
~ theorem(implies(p,implies(not(p),q))),
file(unknown,unknown) ).
tff(c_12,plain,
! [X_12,Y_13] : ( or(not(X_12),Y_13) = implies(X_12,Y_13) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_43,plain,
! [A_25,B_26] : axiom(implies(or(A_25,B_26),or(B_26,A_25))),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_49,plain,
! [Y_13,X_12] : axiom(implies(or(Y_13,not(X_12)),implies(X_12,Y_13))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_43]) ).
tff(c_4,plain,
! [A_2,B_3] : axiom(implies(A_2,or(B_3,A_2))),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_14,plain,
! [X_14] :
( ~ axiom(X_14)
| theorem(X_14) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_121,plain,
! [A_37,B_38,C_39] : axiom(implies(implies(A_37,B_38),implies(or(C_39,A_37),or(C_39,B_38)))),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_127,plain,
! [Y_13,B_38,X_12] : axiom(implies(implies(Y_13,B_38),implies(implies(X_12,Y_13),or(not(X_12),B_38)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_121]) ).
tff(c_656,plain,
! [Y_114,B_115,X_116] : axiom(implies(implies(Y_114,B_115),implies(implies(X_116,Y_114),implies(X_116,B_115)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_127]) ).
tff(c_50,plain,
! [Y_27,X_28] :
( ~ theorem(Y_27)
| ~ theorem(implies(Y_27,X_28))
| theorem(X_28) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_54,plain,
! [Y_27,X_28] :
( ~ theorem(Y_27)
| theorem(X_28)
| ~ axiom(implies(Y_27,X_28)) ),
inference(resolution,[status(thm)],[c_14,c_50]) ).
tff(c_1007,plain,
! [Y_160,B_161,X_162] :
( ~ theorem(implies(Y_160,B_161))
| theorem(implies(implies(X_162,Y_160),implies(X_162,B_161))) ),
inference(resolution,[status(thm)],[c_656,c_54]) ).
tff(c_16,plain,
! [Y_16,X_15] :
( ~ theorem(Y_16)
| ~ theorem(implies(Y_16,X_15))
| theorem(X_15) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_3503,plain,
! [X_314,Y_315,B_316] :
( ~ theorem(implies(X_314,Y_315))
| theorem(implies(X_314,B_316))
| ~ theorem(implies(Y_315,B_316)) ),
inference(resolution,[status(thm)],[c_1007,c_16]) ).
tff(c_5654,plain,
! [X_439,B_440,Y_441] :
( theorem(implies(X_439,B_440))
| ~ theorem(implies(Y_441,B_440))
| ~ axiom(implies(X_439,Y_441)) ),
inference(resolution,[status(thm)],[c_14,c_3503]) ).
tff(c_15750,plain,
! [X_852,B_853,Y_854] :
( theorem(implies(X_852,B_853))
| ~ axiom(implies(X_852,Y_854))
| ~ axiom(implies(Y_854,B_853)) ),
inference(resolution,[status(thm)],[c_14,c_5654]) ).
tff(c_16890,plain,
! [A_881,B_882,B_883] :
( theorem(implies(A_881,B_882))
| ~ axiom(implies(or(B_883,A_881),B_882)) ),
inference(resolution,[status(thm)],[c_4,c_15750]) ).
tff(c_17044,plain,
! [X_886,Y_887] : theorem(implies(not(X_886),implies(X_886,Y_887))),
inference(resolution,[status(thm)],[c_49,c_16890]) ).
tff(c_55,plain,
! [A_29,B_30,C_31] : axiom(implies(or(A_29,or(B_30,C_31)),or(B_30,or(A_29,C_31)))),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_58,plain,
! [A_29,X_12,Y_13] : axiom(implies(or(A_29,implies(X_12,Y_13)),or(not(X_12),or(A_29,Y_13)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_55]) ).
tff(c_385,plain,
! [A_80,X_81,Y_82] : axiom(implies(or(A_80,implies(X_81,Y_82)),implies(X_81,or(A_80,Y_82)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_58]) ).
tff(c_392,plain,
! [X_12,X_81,Y_82] : axiom(implies(implies(X_12,implies(X_81,Y_82)),implies(X_81,or(not(X_12),Y_82)))),
inference(superposition,[status(thm),theory(equality)],[c_12,c_385]) ).
tff(c_891,plain,
! [X_142,X_143,Y_144] : axiom(implies(implies(X_142,implies(X_143,Y_144)),implies(X_143,implies(X_142,Y_144)))),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_392]) ).
tff(c_895,plain,
! [X_142,X_143,Y_144] :
( ~ theorem(implies(X_142,implies(X_143,Y_144)))
| theorem(implies(X_143,implies(X_142,Y_144))) ),
inference(resolution,[status(thm)],[c_891,c_54]) ).
tff(c_17104,plain,
! [X_886,Y_887] : theorem(implies(X_886,implies(not(X_886),Y_887))),
inference(resolution,[status(thm)],[c_17044,c_895]) ).
tff(c_18,plain,
~ theorem(implies(p,implies(not(p),q))),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_17111,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17104,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL187-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % 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
% 0.11/0.37 % Computer : n028.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 4 13:33:43 UTC 2026
% 0.11/0.37 % CPUTime :
% 18.25/6.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.25/6.76
% 18.25/6.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------