%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PUZ047+1 : TPTP v9.0.0. Released v2.5.0.
% 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 : n016.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 08:25:09 PM UTC 2025
% Result : Theorem 2.91s 1.76s
% Output : CNFRefutation 3.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 52 ( 16 ~; 7 |; 14 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 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 : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 40 ( 39 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p > #nlpp > take_wolf > take_goat > take_cabbage > go_alone > start > south > north
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(take_cabbage,type,
take_cabbage: $i > $i ).
tff(go_alone,type,
go_alone: $i > $i ).
tff(take_goat,type,
take_goat: $i > $i ).
tff(start,type,
start: $i ).
tff(north,type,
north: $i ).
tff(take_wolf,type,
take_wolf: $i > $i ).
tff(south,type,
south: $i ).
tff(p,type,
p: ( $i * $i * $i * $i * $i ) > $o ).
tff(f_99,negated_conjecture,
~ ( ( p(south,south,south,south,start)
& ! [T] :
( p(south,north,south,north,T)
=> p(north,north,south,north,go_alone(T)) )
& ! [T1] :
( p(north,north,south,north,T1)
=> p(south,north,south,north,go_alone(T1)) )
& ! [T2] :
( p(south,south,north,south,T2)
=> p(north,south,north,south,go_alone(T2)) )
& ! [T3] :
( p(north,south,north,south,T3)
=> p(south,south,north,south,go_alone(T3)) )
& ! [T4] :
( p(south,south,south,north,T4)
=> p(north,north,south,north,take_wolf(T4)) )
& ! [T5] :
( p(north,north,south,north,T5)
=> p(south,south,south,north,take_wolf(T5)) )
& ! [T6] :
( p(south,south,north,south,T6)
=> p(north,north,north,south,take_wolf(T6)) )
& ! [T7] :
( p(north,north,north,south,T7)
=> p(south,south,north,south,take_wolf(T7)) )
& ! [X,Y,U] :
( p(south,X,south,Y,U)
=> p(north,X,north,Y,take_goat(U)) )
& ! [X1,Y1,V] :
( p(north,X1,north,Y1,V)
=> p(south,X1,south,Y1,take_goat(V)) )
& ! [T8] :
( p(south,north,south,south,T8)
=> p(north,north,south,north,take_cabbage(T8)) )
& ! [T9] :
( p(north,north,south,north,T9)
=> p(south,north,south,south,take_cabbage(T9)) )
& ! [U1] :
( p(south,south,north,south,U1)
=> p(north,south,north,north,take_cabbage(U1)) )
& ! [V1] :
( p(north,south,north,north,V1)
=> p(south,south,north,south,take_cabbage(V1)) ) )
=> ? [Z] : p(north,north,north,north,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100) ).
tff(c_14,plain,
! [X_9,Y_10,U_11] :
( p(north,X_9,north,Y_10,take_goat(U_11))
| ~ p(south,X_9,south,Y_10,U_11) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_12,plain,
! [X1_12,Y1_13,V_14] :
( p(south,X1_12,south,Y1_13,take_goat(V_14))
| ~ p(north,X1_12,north,Y1_13,V_14) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_40,plain,
! [X_29,Y_30,U_31] :
( p(north,X_29,north,Y_30,take_goat(U_31))
| ~ p(south,X_29,south,Y_30,U_31) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_2,plain,
! [Z_19] : ~ p(north,north,north,north,Z_19),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_45,plain,
! [U_31] : ~ p(south,north,south,north,U_31),
inference(resolution,[status(thm)],[c_40,c_2]) ).
tff(c_28,plain,
! [T1_2] :
( p(south,north,south,north,go_alone(T1_2))
| ~ p(north,north,south,north,T1_2) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_53,plain,
! [T1_2] : ~ p(north,north,south,north,T1_2),
inference(negUnitSimplification,[status(thm)],[c_45,c_28]) ).
tff(c_10,plain,
! [T8_15] :
( p(north,north,south,north,take_cabbage(T8_15))
| ~ p(south,north,south,south,T8_15) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_56,plain,
! [T8_35] : ~ p(south,north,south,south,T8_35),
inference(negUnitSimplification,[status(thm)],[c_53,c_10]) ).
tff(c_61,plain,
! [V_14] : ~ p(north,north,north,south,V_14),
inference(resolution,[status(thm)],[c_12,c_56]) ).
tff(c_18,plain,
! [T6_7] :
( p(north,north,north,south,take_wolf(T6_7))
| ~ p(south,south,north,south,T6_7) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_62,plain,
! [T6_7] : ~ p(south,south,north,south,T6_7),
inference(negUnitSimplification,[status(thm)],[c_61,c_18]) ).
tff(c_24,plain,
! [T3_4] :
( p(south,south,north,south,go_alone(T3_4))
| ~ p(north,south,north,south,T3_4) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_72,plain,
! [T3_38] : ~ p(north,south,north,south,T3_38),
inference(negUnitSimplification,[status(thm)],[c_62,c_24]) ).
tff(c_77,plain,
! [U_11] : ~ p(south,south,south,south,U_11),
inference(resolution,[status(thm)],[c_14,c_72]) ).
tff(c_32,plain,
p(south,south,south,south,start),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_85,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77,c_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : PUZ047+1 : TPTP v9.0.0. Released v2.5.0.
% 0.02/0.12 % 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
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 8 17:14:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 2.91/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.91/1.76
% 2.91/1.76 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------