%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV253-2 : TPTP v9.0.0. Released v3.2.0.
% 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 : n010.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 : Wed Apr 9 09:29:54 PM UTC 2025
% Result : Unsatisfiable 2.45s 1.52s
% Output : CNFRefutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 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 : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 2 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > c_Message_OinvKey > v_K_H > v_K
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_K,type,
v_K: $i ).
tff(v_K_H,type,
v_K_H: $i ).
tff(c_Message_OinvKey,type,
c_Message_OinvKey: $i > $i ).
tff(f_30,axiom,
( ( v_K != v_K_H )
| ( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [V_y] : ( c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y ),
file(unknown,unknown) ).
tff(f_33,axiom,
( ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) )
| ( v_K = v_K_H ) ),
file(unknown,unknown) ).
tff(c_2,plain,
( ( c_Message_OinvKey(v_K_H) != c_Message_OinvKey(v_K) )
| ( v_K_H != v_K ) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_24,plain,
v_K_H != v_K,
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_6,plain,
! [V_y_1] : ( c_Message_OinvKey(c_Message_OinvKey(V_y_1)) = V_y_1 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_4,plain,
( ( v_K_H = v_K )
| ( c_Message_OinvKey(v_K_H) = c_Message_OinvKey(v_K) ) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_25,plain,
c_Message_OinvKey(v_K_H) = c_Message_OinvKey(v_K),
inference(negUnitSimplification,[status(thm)],[c_24,c_4]) ).
tff(c_29,plain,
c_Message_OinvKey(c_Message_OinvKey(v_K)) = v_K_H,
inference(superposition,[status(thm),theory(equality)],[c_25,c_6]) ).
tff(c_32,plain,
v_K_H = v_K,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_29]) ).
tff(c_34,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24,c_32]) ).
tff(c_36,plain,
v_K_H = v_K,
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_35,plain,
c_Message_OinvKey(v_K_H) != c_Message_OinvKey(v_K),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_42,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV253-2 : TPTP v9.0.0. Released v3.2.0.
% 0.12/0.14 % 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
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Apr 9 02:53:48 EDT 2025
% 0.13/0.35 % CPUTime :
% 2.45/1.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.45/1.52
% 2.45/1.52 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------