%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ANA012-2 : 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 : n018.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 05:37:33 PM UTC 2025
% Result : Unsatisfiable 2.70s 1.67s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 24 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 20 ( 20 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_lessequals > class_Ring__and__Field_Oordered__field > class_Ring__and__Field_Ofield > class_Orderings_Oorder > class_OrderedGroup_Olordered__ab__group__abs > c_times > c_HOL_Oinverse > c_HOL_Oabs > #nlpp > v_c > t_a > c_1 > c_0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_c,type,
v_c: $i ).
tff(class_OrderedGroup_Olordered__ab__group__abs,type,
class_OrderedGroup_Olordered__ab__group__abs: $i > $o ).
tff(t_a,type,
t_a: $i ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Ring__and__Field_Oordered__field,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(c_HOL_Oabs,type,
c_HOL_Oabs: ( $i * $i ) > $i ).
tff(c_0,type,
c_0: $i ).
tff(c_1,type,
c_1: $i ).
tff(c_times,type,
c_times: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Ofield,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(c_HOL_Oinverse,type,
c_HOL_Oinverse: ( $i * $i ) > $i ).
tff(f_27,axiom,
v_c != c_0,
file(unknown,unknown) ).
tff(f_31,axiom,
class_Ring__and__Field_Oordered__field(t_a),
file(unknown,unknown) ).
tff(f_61,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__field(T)
| class_OrderedGroup_Olordered__ab__group__abs(T) ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__field(T)
| class_Orderings_Oorder(T) ),
file(unknown,unknown) ).
tff(f_44,axiom,
! [T_a,V_x] :
( ~ class_Orderings_Oorder(T_a)
| c_lessequals(V_x,V_x,T_a) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [T] :
( ~ class_Ring__and__Field_Oordered__field(T)
| class_Ring__and__Field_Ofield(T) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [T_a,V_a] :
( ~ class_Ring__and__Field_Ofield(T_a)
| ( V_a = c_0 )
| ( c_times(c_HOL_Oinverse(V_a,T_a),V_a,T_a) = c_1 ) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [V_U] : ~ c_lessequals(c_1,c_times(V_U,c_HOL_Oabs(v_c,t_a),t_a),t_a),
file(unknown,unknown) ).
tff(f_39,axiom,
! [T_a,V_a] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
| ( c_HOL_Oabs(V_a,T_a) != c_0 )
| ( V_a = c_0 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
v_c != c_0,
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_6,plain,
class_Ring__and__Field_Oordered__field(t_a),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_19,plain,
! [T_11] :
( class_OrderedGroup_Olordered__ab__group__abs(T_11)
| ~ class_Ring__and__Field_Oordered__field(T_11) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_23,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(resolution,[status(thm)],[c_6,c_19]) ).
tff(c_24,plain,
! [T_12] :
( class_Orderings_Oorder(T_12)
| ~ class_Ring__and__Field_Oordered__field(T_12) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_28,plain,
class_Orderings_Oorder(t_a),
inference(resolution,[status(thm)],[c_6,c_24]) ).
tff(c_10,plain,
! [V_x_5,T_a_4] :
( c_lessequals(V_x_5,V_x_5,T_a_4)
| ~ class_Orderings_Oorder(T_a_4) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_29,plain,
! [T_13] :
( class_Ring__and__Field_Ofield(T_13)
| ~ class_Ring__and__Field_Oordered__field(T_13) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_33,plain,
class_Ring__and__Field_Ofield(t_a),
inference(resolution,[status(thm)],[c_6,c_29]) ).
tff(c_38,plain,
! [V_a_19,T_a_20] :
( ( c_times(c_HOL_Oinverse(V_a_19,T_a_20),V_a_19,T_a_20) = c_1 )
| ( c_0 = V_a_19 )
| ~ class_Ring__and__Field_Ofield(T_a_20) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_4,plain,
! [V_U_1] : ~ c_lessequals(c_1,c_times(V_U_1,c_HOL_Oabs(v_c,t_a),t_a),t_a),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_45,plain,
( ~ c_lessequals(c_1,c_1,t_a)
| ( c_HOL_Oabs(v_c,t_a) = c_0 )
| ~ class_Ring__and__Field_Ofield(t_a) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_4]) ).
tff(c_51,plain,
( ~ c_lessequals(c_1,c_1,t_a)
| ( c_HOL_Oabs(v_c,t_a) = c_0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33,c_45]) ).
tff(c_53,plain,
~ c_lessequals(c_1,c_1,t_a),
inference(splitLeft,[status(thm)],[c_51]) ).
tff(c_56,plain,
~ class_Orderings_Oorder(t_a),
inference(resolution,[status(thm)],[c_10,c_53]) ).
tff(c_60,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_56]) ).
tff(c_61,plain,
c_HOL_Oabs(v_c,t_a) = c_0,
inference(splitRight,[status(thm)],[c_51]) ).
tff(c_8,plain,
! [V_a_3,T_a_2] :
( ( c_0 = V_a_3 )
| ( c_HOL_Oabs(V_a_3,T_a_2) != c_0 )
| ~ class_OrderedGroup_Olordered__ab__group__abs(T_a_2) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_66,plain,
( ( v_c = c_0 )
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(superposition,[status(thm),theory(equality)],[c_61,c_8]) ).
tff(c_71,plain,
v_c = c_0,
inference(demodulation,[status(thm),theory(equality)],[c_23,c_66]) ).
tff(c_73,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA012-2 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.13 % 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
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 14:50:17 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.70/1.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.70/1.67
% 2.70/1.67 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------