%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : COM009-2 : 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/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 : n006.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 05:50:34 PM UTC 2025
% Result : Unsatisfiable 2.50s 1.61s
% Output : CNFRefutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_UNITY_Oall__total > c_UNITY_Ototalize > #nlpp > v_F > t_a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_UNITY_Oall__total,type,
c_UNITY_Oall__total: ( $i * $i ) > $o ).
tff(t_a,type,
t_a: $i ).
tff(v_F,type,
v_F: $i ).
tff(c_UNITY_Ototalize,type,
c_UNITY_Ototalize: ( $i * $i ) > $i ).
tff(f_30,axiom,
( ( c_UNITY_Ototalize(v_F,t_a) != v_F )
| ~ c_UNITY_Oall__total(v_F,t_a) ),
file(unknown,unknown) ).
tff(f_33,axiom,
( c_UNITY_Oall__total(v_F,t_a)
| ( c_UNITY_Ototalize(v_F,t_a) = v_F ) ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [V_F,T_a] :
( ~ c_UNITY_Oall__total(V_F,T_a)
| ( c_UNITY_Ototalize(V_F,T_a) = V_F ) ),
file(unknown,unknown) ).
tff(f_40,axiom,
! [V_F,T_a] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F,T_a),T_a),
file(unknown,unknown) ).
tff(c_2,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| ( c_UNITY_Ototalize(v_F,t_a) != v_F ) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_10,plain,
c_UNITY_Ototalize(v_F,t_a) != v_F,
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_4,plain,
( ( c_UNITY_Ototalize(v_F,t_a) = v_F )
| c_UNITY_Oall__total(v_F,t_a) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_11,plain,
c_UNITY_Oall__total(v_F,t_a),
inference(negUnitSimplification,[status(thm)],[c_10,c_4]) ).
tff(c_12,plain,
! [V_F_7,T_a_8] :
( ( c_UNITY_Ototalize(V_F_7,T_a_8) = V_F_7 )
| ~ c_UNITY_Oall__total(V_F_7,T_a_8) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_15,plain,
c_UNITY_Ototalize(v_F,t_a) = v_F,
inference(resolution,[status(thm)],[c_11,c_12]) ).
tff(c_22,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10,c_15]) ).
tff(c_23,plain,
~ c_UNITY_Oall__total(v_F,t_a),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_24,plain,
c_UNITY_Ototalize(v_F,t_a) = v_F,
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_8,plain,
! [V_F_3,T_a_4] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F_3,T_a_4),T_a_4),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_28,plain,
c_UNITY_Oall__total(v_F,t_a),
inference(superposition,[status(thm),theory(equality)],[c_24,c_8]) ).
tff(c_32,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23,c_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM009-2 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.13 % 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
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 7 16:11:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.50/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.50/1.61
% 2.50/1.61 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------