%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO079-1 : TPTP v9.0.0. Released v1.1.0.
% 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 : n018.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 06:13:42 PM UTC 2025
% Result : Unsatisfiable 2.51s 1.63s
% Output : CNFRefutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 6 ( 5 usr; 1 prp; 0-6 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 16 ( 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ eq > congruent > trapezoid > parallel > right_angle > #nlpp > d > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(right_angle,type,
right_angle: ( $i * $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(parallel,type,
parallel: ( $i * $i * $i * $i ) > $o ).
tff(eq,type,
eq: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(trapezoid,type,
trapezoid: ( $i * $i * $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(congruent,type,
congruent: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(d,type,
d: $i ).
tff(c,type,
c: $i ).
tff(f_46,axiom,
trapezoid(a,b,c,d),
file(unknown,unknown) ).
tff(f_40,axiom,
! [U,V,W,X] :
( ~ trapezoid(U,V,W,X)
| parallel(V,W,U,X) ),
file(unknown,unknown) ).
tff(f_45,axiom,
! [U,V,X,Y] :
( ~ parallel(U,V,X,Y)
| eq(X,V,U,V,X,Y) ),
file(unknown,unknown) ).
tff(f_48,axiom,
~ eq(a,c,b,c,a,d),
file(unknown,unknown) ).
tff(c_10,plain,
trapezoid(a,b,c,d),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_13,plain,
! [V_21,W_22,U_23,X_24] :
( parallel(V_21,W_22,U_23,X_24)
| ~ trapezoid(U_23,V_21,W_22,X_24) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_17,plain,
parallel(b,c,a,d),
inference(resolution,[status(thm)],[c_10,c_13]) ).
tff(c_18,plain,
! [X_25,V_26,U_27,Y_28] :
( eq(X_25,V_26,U_27,V_26,X_25,Y_28)
| ~ parallel(U_27,V_26,X_25,Y_28) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_12,plain,
~ eq(a,c,b,c,a,d),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_21,plain,
~ parallel(b,c,a,d),
inference(resolution,[status(thm)],[c_18,c_12]) ).
tff(c_25,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17,c_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO079-1 : TPTP v9.0.0. Released v1.1.0.
% 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
% 0.13/0.34 % Computer : n018.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 19:27:47 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.51/1.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.51/1.64
% 2.51/1.64 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------