%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LDA007-3 : TPTP v9.0.0. Released v1.0.0.
% 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 : n023.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 07:40:37 PM UTC 2025
% Result : Unsatisfiable 3.81s 2.46s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ f > #nlpp > tt_ts > tt > tsk > ts > tk > t > s > k
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(tsk,type,
tsk: $i ).
tff(t,type,
t: $i ).
tff(tt_ts,type,
tt_ts: $i ).
tff(s,type,
s: $i ).
tff(k,type,
k: $i ).
tff(ts,type,
ts: $i ).
tff(tt,type,
tt: $i ).
tff(tk,type,
tk: $i ).
tff(f,type,
f: ( $i * $i ) > $i ).
tff(f_34,axiom,
f(t,tsk) != f(tt_ts,tk),
file(unknown,unknown) ).
tff(f_31,axiom,
tsk = f(ts,k),
file(unknown,unknown) ).
tff(f_28,axiom,
ts = f(t,s),
file(unknown,unknown) ).
tff(f_29,axiom,
tt_ts = f(tt,ts),
file(unknown,unknown) ).
tff(f_27,axiom,
tt = f(t,t),
file(unknown,unknown) ).
tff(f_26,axiom,
! [X,Y,Z] : ( f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)) ),
file(unknown,unknown) ).
tff(f_30,axiom,
tk = f(t,k),
file(unknown,unknown) ).
tff(c_14,plain,
f(tt_ts,tk) != f(t,tsk),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_12,plain,
f(ts,k) = tsk,
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_6,plain,
f(t,s) = ts,
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_8,plain,
f(tt,ts) = tt_ts,
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_4,plain,
f(t,t) = tt,
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_35,plain,
! [X_4,Y_5,Z_6] : ( f(f(X_4,Y_5),f(X_4,Z_6)) = f(X_4,f(Y_5,Z_6)) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_180,plain,
! [Y_9] : ( f(f(t,Y_9),ts) = f(t,f(Y_9,s)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_35]) ).
tff(c_210,plain,
f(t,f(t,s)) = f(tt,ts),
inference(superposition,[status(thm),theory(equality)],[c_4,c_180]) ).
tff(c_214,plain,
f(t,ts) = tt_ts,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_8,c_210]) ).
tff(c_10,plain,
f(t,k) = tk,
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_416,plain,
! [Y_12] : ( f(f(t,Y_12),tk) = f(t,f(Y_12,k)) ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_35]) ).
tff(c_449,plain,
f(t,f(ts,k)) = f(tt_ts,tk),
inference(superposition,[status(thm),theory(equality)],[c_214,c_416]) ).
tff(c_470,plain,
f(tt_ts,tk) = f(t,tsk),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_449]) ).
tff(c_472,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_470]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LDA007-3 : TPTP v9.0.0. Released v1.0.0.
% 0.00/0.10 % 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
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 8 07:40:39 EDT 2025
% 0.09/0.30 % CPUTime :
% 3.81/2.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.81/2.46
% 3.81/2.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------