%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0.
% 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 : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 06:56:40 PM UTC 2026
% Result : Unsatisfiable 2.38s 1.58s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ eq > cons > aux > #nlpp > prop1 > h > g > f > nil > btrue > bfalse
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(eq,type,
eq: ( $i * $i ) > $i ).
tff(prop1,type,
prop1: $i > $i ).
tff(f,type,
f: $i > $i ).
tff(g,type,
g: $i > $i ).
tff(aux,type,
aux: ( $i * $i ) > $i ).
tff(h,type,
h: $i > $i ).
tff(cons,type,
cons: ( $i * $i ) > $i ).
tff(bfalse,type,
bfalse: $i ).
tff(nil,type,
nil: $i ).
tff(btrue,type,
btrue: $i ).
tff(f_39,axiom,
! [X] : ( eq(X,X) = btrue ),
file(unknown,unknown) ).
tff(f_37,axiom,
eq(btrue,bfalse) = bfalse,
file(unknown,unknown) ).
tff(f_31,axiom,
f(nil) = btrue,
file(unknown,unknown) ).
tff(f_35,axiom,
! [X] : ( prop1(X) = eq(f(X),bfalse) ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [X] : ( eq(prop1(X),bfalse) != btrue ),
file(unknown,unknown) ).
tff(c_24,plain,
! [X_8] : ( eq(X_8,X_8) = btrue ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_22,plain,
eq(btrue,bfalse) = bfalse,
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_14,plain,
f(nil) = btrue,
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_82,plain,
! [X_16] : ( eq(f(X_16),bfalse) = prop1(X_16) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_91,plain,
eq(btrue,bfalse) = prop1(nil),
inference(superposition,[status(thm),theory(equality)],[c_14,c_82]) ).
tff(c_94,plain,
prop1(nil) = bfalse,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_91]) ).
tff(c_26,plain,
! [X_9] : ( eq(prop1(X_9),bfalse) != btrue ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_97,plain,
eq(bfalse,bfalse) != btrue,
inference(superposition,[status(thm),theory(equality)],[c_94,c_26]) ).
tff(c_102,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.13 % 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
% 0.16/0.34 % Computer : n031.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 13:09:09 EDT 2026
% 0.16/0.34 % CPUTime :
% 2.38/1.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.38/1.58
% 2.38/1.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------