%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : COL019-1 : 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 : n019.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 05:47:48 PM UTC 2025
% Result : Unsatisfiable 4.29s 2.06s
% Output : CNFRefutation 4.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ apply > #nlpp > t > s > combinator > b
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(t,type,
t: $i ).
tff(apply,type,
apply: ( $i * $i ) > $i ).
tff(s,type,
s: $i ).
tff(combinator,type,
combinator: $i ).
tff(b,type,
b: $i ).
tff(f_28,axiom,
! [X,Y,Z] : ( apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_32,axiom,
! [X,Y] : ( apply(apply(t,X),Y) = apply(Y,X) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [X,Y,Z] : ( apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [Y] : ( Y != apply(combinator,Y) ),
file(unknown,unknown) ).
tff(c_28,plain,
! [X_16,Y_17,Z_18] : ( apply(apply(apply(s,X_16),Y_17),Z_18) = apply(apply(X_16,Z_18),apply(Y_17,Z_18)) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_6,plain,
! [X_7,Y_8] : ( apply(apply(t,X_7),Y_8) = apply(Y_8,X_7) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_109,plain,
! [Y_19,Z_20] : ( apply(apply(apply(s,t),Y_19),Z_20) = apply(apply(Y_19,Z_20),Z_20) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_4,plain,
! [X_4,Y_5,Z_6] : ( apply(apply(apply(b,X_4),Y_5),Z_6) = apply(X_4,apply(Y_5,Z_6)) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_1027,plain,
! [X_31,Z_32] : ( apply(apply(apply(s,t),apply(b,X_31)),Z_32) = apply(X_31,apply(Z_32,Z_32)) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).
tff(c_8,plain,
! [Y_9] : ( apply(combinator,Y_9) != Y_9 ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_1220,plain,
! [Z_32] : ( apply(apply(apply(s,t),apply(b,combinator)),Z_32) != apply(Z_32,Z_32) ),
inference(superposition,[status(thm),theory(equality)],[c_1027,c_8]) ).
tff(c_1356,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_1220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COL019-1 : TPTP v9.0.0. Released v1.0.0.
% 0.10/0.13 % 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
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 15:54:02 EDT 2025
% 0.13/0.34 % CPUTime :
% 4.29/2.06 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.29/2.06
% 4.29/2.06 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------