%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LAT272-2 : 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 : n015.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 07:11:37 PM UTC 2025
% Result : Unsatisfiable 2.54s 1.55s
% Output : CNFRefutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 7 ( 7 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Tarski_OisLub > c_in > c_Pair > tc_prod > #nlpp > v_x > v_r > v_cl > v_S > v_L > t_a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(v_S,type,
v_S: $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(v_L,type,
v_L: $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(v_r,type,
v_r: $i ).
tff(c_Pair,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(c_Tarski_OisLub,type,
c_Tarski_OisLub: ( $i * $i * $i * $i ) > $o ).
tff(f_26,axiom,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file(unknown,unknown) ).
tff(f_27,axiom,
c_in(v_x,v_S,t_a),
file(unknown,unknown) ).
tff(f_37,axiom,
! [V_S,V_L,V_y] :
( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)
| ~ c_in(V_y,V_S,t_a)
| c_in(c_Pair(V_y,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file(unknown,unknown) ).
tff(f_29,axiom,
~ c_in(c_Pair(v_x,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file(unknown,unknown) ).
tff(c_2,plain,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_4,plain,
c_in(v_x,v_S,t_a),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_9,plain,
! [V_y_4,V_L_5,V_S_6] :
( c_in(c_Pair(V_y_4,V_L_5,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(V_y_4,V_S_6,t_a)
| ~ c_Tarski_OisLub(V_S_6,v_cl,V_L_5,t_a) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_13,plain,
! [V_L_7] :
( c_in(c_Pair(v_x,V_L_7,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,V_L_7,t_a) ),
inference(resolution,[status(thm)],[c_4,c_9]) ).
tff(c_6,plain,
~ c_in(c_Pair(v_x,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_16,plain,
~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(resolution,[status(thm)],[c_13,c_6]) ).
tff(c_20,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT272-2 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.12 % 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
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 8 03:59:05 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.54/1.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.54/1.56
% 2.54/1.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------