TSTP Solution File: SET838-2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET838-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n026.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 : Tue Aug 22 10:57:08 EDT 2023
% Result : Unsatisfiable 2.13s 1.61s
% Output : CNFRefutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 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 : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 8 (; 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > v_xa > v_g > v_f > v_x
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(v_xa,type,
v_xa: $i > $i ).
tff(v_g,type,
v_g: $i > $i ).
tff(v_f,type,
v_f: $i > $i ).
tff(f_26,axiom,
v_f(v_g(v_x)) = v_x,
file(unknown,unknown) ).
tff(f_42,axiom,
! [V_U] :
( ( v_xa(V_U) != V_U )
| ( v_g(v_f(V_U)) != V_U ) ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [V_U] :
( ( v_g(v_f(v_xa(V_U))) = v_xa(V_U) )
| ( v_g(v_f(V_U)) != V_U ) ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [V_U] :
( ( V_U = v_x )
| ( v_f(v_g(V_U)) != V_U ) ),
file(unknown,unknown) ).
tff(c_2,plain,
v_f(v_g(v_x)) = v_x,
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_19,plain,
! [V_U_5] :
( ( v_g(v_f(V_U_5)) != V_U_5 )
| ( v_xa(V_U_5) != V_U_5 ) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_23,plain,
v_xa(v_g(v_x)) != v_g(v_x),
inference(superposition,[status(thm),theory(equality)],[c_2,c_19]) ).
tff(c_24,plain,
! [V_U_6] :
( ( v_g(v_f(V_U_6)) != V_U_6 )
| ( v_g(v_f(v_xa(V_U_6))) = v_xa(V_U_6) ) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_4,plain,
! [V_U_1] :
( ( v_f(v_g(V_U_1)) != V_U_1 )
| ( v_x = V_U_1 ) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_41,plain,
! [V_U_7] :
( ( v_f(v_xa(V_U_7)) = v_x )
| ( v_g(v_f(V_U_7)) != V_U_7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_4]) ).
tff(c_49,plain,
v_f(v_xa(v_g(v_x))) = v_x,
inference(superposition,[status(thm),theory(equality)],[c_2,c_41]) ).
tff(c_6,plain,
! [V_U_2] :
( ( v_g(v_f(V_U_2)) != V_U_2 )
| ( v_g(v_f(v_xa(V_U_2))) = v_xa(V_U_2) ) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_56,plain,
( ( v_g(v_f(v_g(v_x))) != v_g(v_x) )
| ( v_xa(v_g(v_x)) = v_g(v_x) ) ),
inference(superposition,[status(thm),theory(equality)],[c_49,c_6]) ).
tff(c_63,plain,
v_xa(v_g(v_x)) = v_g(v_x),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_56]) ).
tff(c_65,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET838-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % 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
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 17:20:16 EDT 2023
% 0.14/0.34 % CPUTime :
% 2.13/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/1.61
% 2.13/1.61 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.76/1.64
% 2.76/1.64 Inference rules
% 2.76/1.64 ----------------------
% 2.76/1.64 #Ref : 0
% 2.76/1.64 #Sup : 15
% 2.76/1.64 #Fact : 0
% 2.76/1.64 #Define : 0
% 2.76/1.64 #Split : 0
% 2.76/1.64 #Chain : 0
% 2.76/1.64 #Close : 0
% 2.76/1.64
% 2.76/1.64 Ordering : KBO
% 2.76/1.64
% 2.76/1.64 Simplification rules
% 2.76/1.64 ----------------------
% 2.76/1.64 #Subsume : 1
% 2.76/1.64 #Demod : 1
% 2.76/1.64 #Tautology : 6
% 2.76/1.64 #SimpNegUnit : 1
% 2.76/1.64 #BackRed : 0
% 2.76/1.64
% 2.76/1.64 #Partial instantiations: 0
% 2.76/1.64 #Strategies tried : 1
% 2.76/1.64
% 2.76/1.64 Timing (in seconds)
% 2.76/1.64 ----------------------
% 2.76/1.64 Preprocessing : 0.40
% 2.76/1.64 Parsing : 0.22
% 2.76/1.64 CNF conversion : 0.02
% 2.76/1.64 Main loop : 0.18
% 2.76/1.64 Inferencing : 0.08
% 2.76/1.65 Reduction : 0.03
% 2.76/1.65 Demodulation : 0.02
% 2.76/1.65 BG Simplification : 0.01
% 2.76/1.65 Subsumption : 0.04
% 2.76/1.65 Abstraction : 0.01
% 2.76/1.65 MUC search : 0.00
% 2.76/1.65 Cooper : 0.00
% 2.76/1.65 Total : 0.62
% 2.76/1.65 Index Insertion : 0.00
% 2.76/1.65 Index Deletion : 0.00
% 2.76/1.65 Index Matching : 0.00
% 2.76/1.65 BG Taut test : 0.00
%------------------------------------------------------------------------------