%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN356+1 : TPTP v9.0.0. Released v2.0.0.
% 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 : n010.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 10:03:20 PM UTC 2025
% Result : Theorem 2.76s 1.73s
% Output : CNFRefutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 23 ( 10 ~; 6 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 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; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_r > big_q > #nlpp > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(big_r,type,
big_r: ( $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(big_q,type,
big_q: ( $i * $i ) > $o ).
tff(f_43,negated_conjecture,
~ ( ( big_r(a,b)
& ! [X,Y] :
( big_r(X,Y)
=> ( big_r(Y,X)
& big_q(X,Y) ) )
& ! [U,V] :
( big_q(U,V)
=> big_q(U,U) ) )
=> ( big_q(a,a)
& big_q(b,b) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2107) ).
tff(c_2,plain,
( ~ big_q(b,b)
| ~ big_q(a,a) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_11,plain,
~ big_q(a,a),
inference(splitLeft,[status(thm)],[c_2]) ).
tff(c_6,plain,
big_r(a,b),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_12,plain,
! [X_5,Y_6] :
( big_q(X_5,Y_6)
| ~ big_r(X_5,Y_6) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_16,plain,
big_q(a,b),
inference(resolution,[status(thm)],[c_6,c_12]) ).
tff(c_29,plain,
! [U_9,V_10] :
( big_q(U_9,U_9)
| ~ big_q(U_9,V_10) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_33,plain,
big_q(a,a),
inference(resolution,[status(thm)],[c_16,c_29]) ).
tff(c_38,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11,c_33]) ).
tff(c_39,plain,
~ big_q(b,b),
inference(splitRight,[status(thm)],[c_2]) ).
tff(c_55,plain,
! [Y_15,X_16] :
( big_r(Y_15,X_16)
| ~ big_r(X_16,Y_15) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_58,plain,
big_r(b,a),
inference(resolution,[status(thm)],[c_6,c_55]) ).
tff(c_8,plain,
! [X_1,Y_2] :
( big_q(X_1,Y_2)
| ~ big_r(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_66,plain,
big_q(b,a),
inference(resolution,[status(thm)],[c_58,c_8]) ).
tff(c_4,plain,
! [U_3,V_4] :
( big_q(U_3,U_3)
| ~ big_q(U_3,V_4) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_68,plain,
big_q(b,b),
inference(resolution,[status(thm)],[c_66,c_4]) ).
tff(c_72,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SYN356+1 : TPTP v9.0.0. Released v2.0.0.
% 0.09/0.13 % 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
% 0.14/0.33 % Computer : n010.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Apr 9 07:20:48 EDT 2025
% 0.14/0.33 % CPUTime :
% 2.76/1.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.76/1.73
% 2.76/1.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------