%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LAT277-2 : 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 : n029.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 07:11:38 PM UTC 2025
% Result : Unsatisfiable 2.73s 1.70s
% Output : CNFRefutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 13 ( 13 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_Relation_Orefl > c_Pair > c_Tarski_Opotype_Opset > c_Tarski_Opotype_Oorder > tc_prod > tc_Tarski_Opotype_Opotype__ext__type > #nlpp > v_x > v_r > v_cl > v_A > tc_Product__Type_Ounit > t_a > c_Tarski_OPartialOrder
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(c_Tarski_Opotype_Opset,type,
c_Tarski_Opotype_Opset: ( $i * $i * $i ) > $i ).
tff(t_a,type,
t_a: $i ).
tff(v_cl,type,
v_cl: $i ).
tff(tc_prod,type,
tc_prod: ( $i * $i ) > $i ).
tff(tc_Product__Type_Ounit,type,
tc_Product__Type_Ounit: $i ).
tff(c_Relation_Orefl,type,
c_Relation_Orefl: ( $i * $i * $i ) > $o ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(c_Tarski_Opotype_Oorder,type,
c_Tarski_Opotype_Oorder: ( $i * $i * $i ) > $i ).
tff(v_r,type,
v_r: $i ).
tff(c_Pair,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(c_Tarski_OPartialOrder,type,
c_Tarski_OPartialOrder: $i ).
tff(v_A,type,
v_A: $i ).
tff(tc_Tarski_Opotype_Opotype__ext__type,type,
tc_Tarski_Opotype_Opotype__ext__type: ( $i * $i ) > $i ).
tff(f_43,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file(unknown,unknown) ).
tff(f_37,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file(unknown,unknown) ).
tff(f_44,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file(unknown,unknown) ).
tff(f_42,axiom,
! [V_P,T_a] :
( ~ c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))
| c_Relation_Orefl(c_Tarski_Opotype_Opset(V_P,T_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ),
file(unknown,unknown) ).
tff(f_26,axiom,
c_in(v_x,v_A,t_a),
file(unknown,unknown) ).
tff(f_36,axiom,
! [V_A,V_r,T_a,V_a] :
( ~ c_Relation_Orefl(V_A,V_r,T_a)
| ~ c_in(V_a,V_A,T_a)
| c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) ),
file(unknown,unknown) ).
tff(f_28,axiom,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file(unknown,unknown) ).
tff(c_12,plain,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_8,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_14,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_23,plain,
! [V_P_7,T_a_8] :
( c_Relation_Orefl(c_Tarski_Opotype_Opset(V_P_7,T_a_8,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(V_P_7,T_a_8,tc_Product__Type_Ounit),T_a_8)
| ~ c_in(V_P_7,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a_8,tc_Product__Type_Ounit)) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_26,plain,
( c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a)
| ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_23]) ).
tff(c_31,plain,
c_Relation_Orefl(v_A,v_r,t_a),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_8,c_26]) ).
tff(c_2,plain,
c_in(v_x,v_A,t_a),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_35,plain,
! [V_a_9,T_a_10,V_r_11,V_A_12] :
( c_in(c_Pair(V_a_9,V_a_9,T_a_10,T_a_10),V_r_11,tc_prod(T_a_10,T_a_10))
| ~ c_in(V_a_9,V_A_12,T_a_10)
| ~ c_Relation_Orefl(V_A_12,V_r_11,T_a_10) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_42,plain,
! [V_r_13] :
( c_in(c_Pair(v_x,v_x,t_a,t_a),V_r_13,tc_prod(t_a,t_a))
| ~ c_Relation_Orefl(v_A,V_r_13,t_a) ),
inference(resolution,[status(thm)],[c_2,c_35]) ).
tff(c_4,plain,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_47,plain,
~ c_Relation_Orefl(v_A,v_r,t_a),
inference(resolution,[status(thm)],[c_42,c_4]) ).
tff(c_52,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31,c_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LAT277-2 : TPTP v9.0.0. Released v3.2.0.
% 0.04/0.14 % 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
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 8 03:59:19 EDT 2025
% 0.14/0.35 % CPUTime :
% 2.73/1.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.73/1.71
% 2.73/1.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------