%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : COL059-1 : 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 : n021.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 05:47:54 PM UTC 2025
% Result : Unsatisfiable 3.94s 2.02s
% Output : CNFRefutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 50 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ response > #nlpp > x2 > lark > l3 > l2 > kestrel
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(l2,type,
l2: $i ).
tff(response,type,
response: ( $i * $i ) > $i ).
tff(kestrel,type,
kestrel: $i ).
tff(l3,type,
l3: $i ).
tff(lark,type,
lark: $i ).
tff(x2,type,
x2: $i ).
tff(f_37,axiom,
response(l3,l3) = l3,
file(unknown,unknown) ).
tff(f_36,axiom,
response(l2,lark) = l3,
file(unknown,unknown) ).
tff(f_35,axiom,
response(lark,lark) = l2,
file(unknown,unknown) ).
tff(f_28,axiom,
! [X1,X2] : ( response(response(lark,X1),X2) = response(X1,response(X2,X2)) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [X1,X2] : ( response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)) ),
file(unknown,unknown) ).
tff(f_32,axiom,
! [X1,X2] : ( response(response(response(response(lark,lark),lark),X1),X2) = response(response(response(X1,X1),response(X1,X1)),response(x2,x2)) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [X1,X2] : ( response(response(kestrel,X1),X2) = X1 ),
file(unknown,unknown) ).
tff(f_34,axiom,
response(l2,l2) != l2,
file(unknown,unknown) ).
tff(c_16,plain,
response(l3,l3) = l3,
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_14,plain,
response(l2,lark) = l3,
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_12,plain,
response(lark,lark) = l2,
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_41,plain,
! [X1_11,X2_12] : ( response(response(lark,X1_11),X2_12) = response(X1_11,response(X2_12,X2_12)) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_130,plain,
! [X2_15] : ( response(lark,response(X2_15,X2_15)) = response(l2,X2_15) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_41]) ).
tff(c_165,plain,
response(lark,l2) = response(l2,lark),
inference(superposition,[status(thm),theory(equality)],[c_12,c_130]) ).
tff(c_174,plain,
response(lark,l2) = l3,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_165]) ).
tff(c_4,plain,
! [X1_3,X2_4] : ( response(response(lark,X1_3),X2_4) = response(X1_3,response(X2_4,X2_4)) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_226,plain,
! [X2_18] : ( response(l2,response(X2_18,X2_18)) = response(l3,X2_18) ),
inference(superposition,[status(thm),theory(equality)],[c_174,c_4]) ).
tff(c_269,plain,
response(l3,l3) = response(l2,l3),
inference(superposition,[status(thm),theory(equality)],[c_16,c_226]) ).
tff(c_275,plain,
response(l2,l3) = l3,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_269]) ).
tff(c_6,plain,
! [X1_5,X2_6] : ( response(response(response(lark,lark),X1_5),X2_6) = response(response(X1_5,X1_5),response(X2_6,X2_6)) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_281,plain,
! [X1_19,X2_20] : ( response(response(X1_19,X1_19),response(X2_20,X2_20)) = response(response(l2,X1_19),X2_20) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_6]) ).
tff(c_371,plain,
! [X2_20] : ( response(response(l2,l3),X2_20) = response(l3,response(X2_20,X2_20)) ),
inference(superposition,[status(thm),theory(equality)],[c_16,c_281]) ).
tff(c_388,plain,
! [X2_20] : ( response(l3,response(X2_20,X2_20)) = response(l3,X2_20) ),
inference(demodulation,[status(thm),theory(equality)],[c_275,c_371]) ).
tff(c_18,plain,
! [X1_5,X2_6] : ( response(response(X1_5,X1_5),response(X2_6,X2_6)) = response(response(l2,X1_5),X2_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_6]) ).
tff(c_8,plain,
! [X1_7,X2_8] : ( response(response(response(response(lark,lark),lark),X1_7),X2_8) = response(response(response(X1_7,X1_7),response(X1_7,X1_7)),response(x2,x2)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_17,plain,
! [X1_7,X2_8] : ( response(response(response(X1_7,X1_7),response(X1_7,X1_7)),response(x2,x2)) = response(response(l3,X1_7),X2_8) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_12,c_8]) ).
tff(c_515,plain,
! [X1_23,X2_24] : ( response(response(response(l2,X1_23),X1_23),response(x2,x2)) = response(response(l3,X1_23),X2_24) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_17]) ).
tff(c_525,plain,
! [X2_6] : ( response(response(response(l2,l3),l3),response(x2,x2)) = response(response(l2,l3),X2_6) ),
inference(superposition,[status(thm),theory(equality)],[c_515,c_18]) ).
tff(c_600,plain,
! [X2_25] : ( response(l3,x2) = response(l3,X2_25) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_275,c_16,c_275,c_525]) ).
tff(c_588,plain,
! [X2_6] : ( response(l3,x2) = response(l3,X2_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_275,c_16,c_275,c_525]) ).
tff(c_657,plain,
! [X2_28,X2_27] : ( response(l3,X2_28) = response(l3,X2_27) ),
inference(superposition,[status(thm),theory(equality)],[c_600,c_588]) ).
tff(c_725,plain,
! [X2_28] : ( response(l3,X2_28) = l3 ),
inference(superposition,[status(thm),theory(equality)],[c_657,c_16]) ).
tff(c_168,plain,
response(lark,l3) = response(l2,l3),
inference(superposition,[status(thm),theory(equality)],[c_16,c_130]) ).
tff(c_276,plain,
response(lark,l3) = l3,
inference(demodulation,[status(thm),theory(equality)],[c_275,c_168]) ).
tff(c_2,plain,
! [X1_1,X2_2] : ( response(response(kestrel,X1_1),X2_2) = X1_1 ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_263,plain,
! [X1_1] : ( response(l3,response(kestrel,X1_1)) = response(l2,X1_1) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_226]) ).
tff(c_771,plain,
! [X1_1] : ( response(l2,X1_1) = l3 ),
inference(demodulation,[status(thm),theory(equality)],[c_725,c_263]) ).
tff(c_63,plain,
! [X1_1,X2_12] : ( response(response(lark,response(kestrel,X1_1)),X2_12) = X1_1 ),
inference(superposition,[status(thm),theory(equality)],[c_41,c_2]) ).
tff(c_189,plain,
! [X2_16] : ( response(response(l2,kestrel),X2_16) = kestrel ),
inference(superposition,[status(thm),theory(equality)],[c_130,c_63]) ).
tff(c_209,plain,
! [X2_4] : ( response(response(lark,response(l2,kestrel)),X2_4) = kestrel ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_189]) ).
tff(c_886,plain,
! [X2_4] : ( response(response(lark,l3),X2_4) = kestrel ),
inference(demodulation,[status(thm),theory(equality)],[c_771,c_209]) ).
tff(c_895,plain,
l3 = kestrel,
inference(demodulation,[status(thm),theory(equality)],[c_725,c_276,c_886]) ).
tff(c_10,plain,
response(l2,l2) != l2,
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_892,plain,
l3 != l2,
inference(demodulation,[status(thm),theory(equality)],[c_771,c_10]) ).
tff(c_922,plain,
l2 != kestrel,
inference(demodulation,[status(thm),theory(equality)],[c_895,c_892]) ).
tff(c_162,plain,
! [X1_1] : ( response(l2,response(kestrel,X1_1)) = response(lark,X1_1) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_130]) ).
tff(c_889,plain,
! [X1_1] : ( response(lark,X1_1) = l3 ),
inference(demodulation,[status(thm),theory(equality)],[c_771,c_162]) ).
tff(c_964,plain,
! [X1_1] : ( response(lark,X1_1) = kestrel ),
inference(demodulation,[status(thm),theory(equality)],[c_895,c_889]) ).
tff(c_967,plain,
l2 = kestrel,
inference(demodulation,[status(thm),theory(equality)],[c_964,c_12]) ).
tff(c_969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_922,c_967]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL059-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.13 % 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
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 7 15:59:28 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.94/2.02 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.94/2.03
% 3.94/2.03 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------