TSTP Solution File: SET824-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET824-2 : 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/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 : n027.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 10:57:05 EDT 2023
% Result : Unsatisfiable 2.03s 1.53s
% Output : CNFRefutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 11 ( 4 unt; 5 typ; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 (; 9 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_uminus > #nlpp > tc_set > v_a > tc_IntDef_Oint
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(tc_set,type,
tc_set: $i > $i ).
tff(tc_IntDef_Oint,type,
tc_IntDef_Oint: $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(v_a,type,
v_a: $i ).
tff(c_uminus,type,
c_uminus: ( $i * $i ) > $i ).
tff(f_33,axiom,
! [V_U] : c_in(v_a,V_U,tc_IntDef_Oint),
file(unknown,unknown) ).
tff(f_31,axiom,
! [V_c,V_A,T_a] :
( ~ c_in(V_c,V_A,T_a)
| ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [V_U_4] : c_in(v_a,V_U_4,tc_IntDef_Oint),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_6,plain,
! [V_c_6,V_A_7,T_a_8] :
( ~ c_in(V_c_6,c_uminus(V_A_7,tc_set(T_a_8)),T_a_8)
| ~ c_in(V_c_6,V_A_7,T_a_8) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_10,plain,
! [V_A_7] : ~ c_in(v_a,V_A_7,tc_IntDef_Oint),
inference(resolution,[status(thm)],[c_4,c_6]) ).
tff(c_14,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET824-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 : n027.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 : Thu Aug 3 16:37:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 2.03/1.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.03/1.53
% 2.03/1.53 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.24/1.57
% 2.24/1.57 Inference rules
% 2.24/1.57 ----------------------
% 2.24/1.57 #Ref : 0
% 2.24/1.57 #Sup : 1
% 2.24/1.57 #Fact : 0
% 2.24/1.57 #Define : 0
% 2.24/1.57 #Split : 0
% 2.24/1.57 #Chain : 0
% 2.24/1.57 #Close : 0
% 2.24/1.57
% 2.24/1.57 Ordering : KBO
% 2.24/1.57
% 2.24/1.57 Simplification rules
% 2.24/1.57 ----------------------
% 2.24/1.57 #Subsume : 0
% 2.24/1.57 #Demod : 1
% 2.24/1.57 #Tautology : 0
% 2.24/1.57 #SimpNegUnit : 0
% 2.24/1.57 #BackRed : 0
% 2.24/1.57
% 2.24/1.57 #Partial instantiations: 0
% 2.24/1.57 #Strategies tried : 1
% 2.24/1.57
% 2.24/1.57 Timing (in seconds)
% 2.24/1.57 ----------------------
% 2.24/1.57 Preprocessing : 0.38
% 2.24/1.57 Parsing : 0.21
% 2.24/1.57 CNF conversion : 0.02
% 2.24/1.57 Main loop : 0.12
% 2.24/1.57 Inferencing : 0.06
% 2.24/1.57 Reduction : 0.02
% 2.24/1.57 Demodulation : 0.02
% 2.24/1.57 BG Simplification : 0.01
% 2.24/1.57 Subsumption : 0.02
% 2.24/1.57 Abstraction : 0.00
% 2.24/1.57 MUC search : 0.00
% 2.24/1.57 Cooper : 0.00
% 2.24/1.57 Total : 0.56
% 2.24/1.57 Index Insertion : 0.00
% 2.24/1.57 Index Deletion : 0.00
% 2.24/1.57 Index Matching : 0.00
% 2.24/1.57 BG Taut test : 0.00
%------------------------------------------------------------------------------