%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : COL026-1 : 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/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 : n011.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 05:47:49 PM UTC 2025
% Result : Unsatisfiable 7.31s 2.86s
% Output : CNFRefutation 7.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 10 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 : 5 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ apply > #nlpp > w1 > combinator > b
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(w1,type,
w1: $i ).
tff(apply,type,
apply: ( $i * $i ) > $i ).
tff(combinator,type,
combinator: $i ).
tff(b,type,
b: $i ).
tff(f_28,axiom,
! [X,Y,Z] : ( apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [X,Y] : ( apply(apply(w1,X),Y) = apply(apply(Y,X),X) ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [Y] : ( Y != apply(combinator,Y) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1,Y_2,Z_3] : ( apply(apply(apply(b,X_1),Y_2),Z_3) = apply(X_1,apply(Y_2,Z_3)) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_90,plain,
! [X_11,Y_12,Z_13] : ( apply(apply(apply(b,X_11),Y_12),Z_13) = apply(X_11,apply(Y_12,Z_13)) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_4,plain,
! [X_4,Y_5] : ( apply(apply(w1,X_4),Y_5) = apply(apply(Y_5,X_4),X_4) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_941,plain,
! [Z_26,X_27,Y_28] : ( apply(apply(w1,Z_26),apply(apply(b,X_27),Y_28)) = apply(apply(X_27,apply(Y_28,Z_26)),Z_26) ),
inference(superposition,[status(thm),theory(equality)],[c_90,c_4]) ).
tff(c_3502,plain,
! [Z_46,X_47,Y_48] : ( apply(apply(w1,Z_46),apply(apply(b,apply(b,X_47)),Y_48)) = apply(X_47,apply(apply(Y_48,Z_46),Z_46)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_941]) ).
tff(c_6,plain,
! [Y_6] : ( apply(combinator,Y_6) != Y_6 ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_3830,plain,
! [Z_46,Y_48] : ( apply(apply(w1,Z_46),apply(apply(b,apply(b,combinator)),Y_48)) != apply(apply(Y_48,Z_46),Z_46) ),
inference(superposition,[status(thm),theory(equality)],[c_3502,c_6]) ).
tff(c_4213,plain,
$false,
inference(reflexivity,[status(thm),theory(equality)],[c_3830]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL026-1 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.13 % 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
% 0.13/0.32 % Computer : n011.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Mon Apr 7 15:55:03 EDT 2025
% 0.13/0.32 % CPUTime :
% 7.31/2.86 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.67/2.87
% 7.67/2.87 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------