%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : RNG038-1 : 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 : n004.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 08:31:21 PM UTC 2025
% Result : Unsatisfiable 14.18s 5.23s
% Output : CNFRefutation 14.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 35 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sum > product > multiply > h > add > #nlpp > additive_inverse > b > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(h,type,
h: ( $i * $i ) > $i ).
tff(sum,type,
sum: ( $i * $i * $i ) > $o ).
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(b,type,
b: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_192,axiom,
b != additive_identity,
file(unknown,unknown) ).
tff(f_185,axiom,
! [X,Y] :
( ( X != additive_identity )
| product(X,h(X,Y),Y) ),
file(unknown,unknown) ).
tff(f_186,axiom,
product(a,b,additive_identity),
file(unknown,unknown) ).
tff(f_105,axiom,
! [W,U,Z,X,Y,V] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W)
| product(U,Z,W) ),
file(unknown,unknown) ).
tff(f_178,axiom,
! [X,Y,U,V] :
( ~ product(X,Y,U)
| ~ product(X,Y,V)
| ( U = V ) ),
file(unknown,unknown) ).
tff(f_50,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X] : sum(X,additive_identity,X),
file(unknown,unknown) ).
tff(f_46,axiom,
! [X] : sum(additive_identity,X,X),
file(unknown,unknown) ).
tff(f_133,axiom,
! [V3,Z,V1,X,Y,V2,V4] :
( ~ product(X,Y,V1)
| ~ product(X,Z,V2)
| ~ sum(Y,Z,V3)
| ~ sum(V1,V2,V4)
| product(X,V3,V4) ),
file(unknown,unknown) ).
tff(c_42,plain,
b != additive_identity,
inference(cnfTransformation,[status(thm)],[f_192]) ).
tff(c_36,plain,
! [Y_73] : product(additive_identity,h(additive_identity,Y_73),Y_73),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_38,plain,
product(a,b,additive_identity),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_508,plain,
! [Y_131,V_127,Z_128,W_130,X_129,U_126] :
( product(U_126,Z_128,W_130)
| ~ product(X_129,V_127,W_130)
| ~ product(Y_131,Z_128,V_127)
| ~ product(X_129,Y_131,U_126) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_588,plain,
! [U_141,Z_142,Y_143] :
( product(U_141,Z_142,additive_identity)
| ~ product(Y_143,Z_142,b)
| ~ product(a,Y_143,U_141) ),
inference(resolution,[status(thm)],[c_38,c_508]) ).
tff(c_612,plain,
! [U_150] :
( product(U_150,h(additive_identity,b),additive_identity)
| ~ product(a,additive_identity,U_150) ),
inference(resolution,[status(thm)],[c_36,c_588]) ).
tff(c_75,plain,
! [V_88,U_89,X_90,Y_91] :
( ( V_88 = U_89 )
| ~ product(X_90,Y_91,V_88)
| ~ product(X_90,Y_91,U_89) ),
inference(cnfTransformation,[status(thm)],[f_178]) ).
tff(c_82,plain,
! [Y_73,U_89] :
( ( Y_73 = U_89 )
| ~ product(additive_identity,h(additive_identity,Y_73),U_89) ),
inference(resolution,[status(thm)],[c_36,c_75]) ).
tff(c_619,plain,
( ( b = additive_identity )
| ~ product(a,additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[c_612,c_82]) ).
tff(c_629,plain,
~ product(a,additive_identity,additive_identity),
inference(negUnitSimplification,[status(thm)],[c_42,c_619]) ).
tff(c_6,plain,
! [X_3,Y_4] : product(X_3,Y_4,multiply(X_3,Y_4)),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_4,plain,
! [X_2] : sum(X_2,additive_identity,X_2),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_2,plain,
! [X_1] : sum(additive_identity,X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_1195,plain,
! [X_200,Y_196,V1_199,V3_195,V4_201,V2_197,Z_198] :
( product(X_200,V3_195,V4_201)
| ~ sum(V1_199,V2_197,V4_201)
| ~ sum(Y_196,Z_198,V3_195)
| ~ product(X_200,Z_198,V2_197)
| ~ product(X_200,Y_196,V1_199) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_10046,plain,
! [Z_425,Y_428,X_426,X_429,V3_427] :
( product(X_429,V3_427,X_426)
| ~ sum(Y_428,Z_425,V3_427)
| ~ product(X_429,Z_425,X_426)
| ~ product(X_429,Y_428,additive_identity) ),
inference(resolution,[status(thm)],[c_2,c_1195]) ).
tff(c_35940,plain,
! [X_743,X_744,X_745] :
( product(X_743,X_744,X_745)
| ~ product(X_743,additive_identity,X_745)
| ~ product(X_743,X_744,additive_identity) ),
inference(resolution,[status(thm)],[c_4,c_10046]) ).
tff(c_36182,plain,
! [X_750,X_751] :
( product(X_750,X_751,multiply(X_750,additive_identity))
| ~ product(X_750,X_751,additive_identity) ),
inference(resolution,[status(thm)],[c_6,c_35940]) ).
tff(c_84,plain,
! [U_89] :
( ( additive_identity = U_89 )
| ~ product(a,b,U_89) ),
inference(resolution,[status(thm)],[c_38,c_75]) ).
tff(c_36214,plain,
( ( multiply(a,additive_identity) = additive_identity )
| ~ product(a,b,additive_identity) ),
inference(resolution,[status(thm)],[c_36182,c_84]) ).
tff(c_36230,plain,
multiply(a,additive_identity) = additive_identity,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_36214]) ).
tff(c_36244,plain,
product(a,additive_identity,additive_identity),
inference(superposition,[status(thm),theory(equality)],[c_36230,c_6]) ).
tff(c_36248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_629,c_36244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG038-1 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 : n004.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 : Tue Apr 8 18:29:22 EDT 2025
% 0.13/0.34 % CPUTime :
% 14.18/5.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.32/5.23
% 14.32/5.23 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------