TSTP Solution File: COL120-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : COL120-2 : 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 : n005.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 10:35:09 EDT 2023
% Result : Unsatisfiable 2.20s 1.55s
% Output : CNFRefutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 16 ( 6 unt; 8 typ; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 4 >; 7 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 8 (; 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_Pair > tc_prod > c_Transitive__Closure_Ortrancl > #nlpp > v_y > v_x > v_r > t_a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(c_Transitive__Closure_Ortrancl,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(v_y,type,
v_y: $i ).
tff(t_a,type,
t_a: $i ).
tff(tc_prod,type,
tc_prod: ( $i * $i ) > $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(v_r,type,
v_r: $i ).
tff(c_Pair,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(f_34,axiom,
! [V_a,T_a,V_r] : c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)),
file(unknown,unknown) ).
tff(f_26,axiom,
c_in(c_Pair(v_y,v_x,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
file(unknown,unknown) ).
tff(f_32,axiom,
! [V_U] :
( ~ c_in(c_Pair(v_x,V_U,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_y,V_U,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
file(unknown,unknown) ).
tff(c_6,plain,
! [V_a_2,T_a_3,V_r_4] : c_in(c_Pair(V_a_2,V_a_2,T_a_3,T_a_3),c_Transitive__Closure_Ortrancl(V_r_4,T_a_3),tc_prod(T_a_3,T_a_3)),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_2,plain,
c_in(c_Pair(v_y,v_x,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_8,plain,
! [V_U_8] :
( ~ c_in(c_Pair(v_y,V_U_8,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_x,V_U_8,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_11,plain,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
inference(resolution,[status(thm)],[c_2,c_8]) ).
tff(c_19,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : COL120-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % 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
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 18:11:41 EDT 2023
% 0.14/0.36 % CPUTime :
% 2.20/1.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.20/1.56
% 2.20/1.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.20/1.58
% 2.20/1.58 Inference rules
% 2.20/1.58 ----------------------
% 2.20/1.58 #Ref : 0
% 2.20/1.58 #Sup : 2
% 2.20/1.58 #Fact : 0
% 2.20/1.58 #Define : 0
% 2.20/1.58 #Split : 0
% 2.20/1.58 #Chain : 0
% 2.20/1.58 #Close : 0
% 2.20/1.58
% 2.20/1.58 Ordering : KBO
% 2.20/1.58
% 2.20/1.58 Simplification rules
% 2.20/1.58 ----------------------
% 2.20/1.58 #Subsume : 0
% 2.20/1.58 #Demod : 1
% 2.20/1.58 #Tautology : 0
% 2.20/1.58 #SimpNegUnit : 0
% 2.20/1.58 #BackRed : 0
% 2.20/1.58
% 2.20/1.58 #Partial instantiations: 0
% 2.20/1.58 #Strategies tried : 1
% 2.20/1.58
% 2.20/1.58 Timing (in seconds)
% 2.20/1.58 ----------------------
% 2.20/1.58 Preprocessing : 0.38
% 2.20/1.58 Parsing : 0.21
% 2.20/1.58 CNF conversion : 0.02
% 2.20/1.58 Main loop : 0.13
% 2.20/1.58 Inferencing : 0.07
% 2.20/1.58 Reduction : 0.03
% 2.20/1.58 Demodulation : 0.02
% 2.20/1.58 BG Simplification : 0.01
% 2.20/1.58 Subsumption : 0.03
% 2.20/1.58 Abstraction : 0.00
% 2.20/1.58 MUC search : 0.00
% 2.20/1.58 Cooper : 0.00
% 2.20/1.58 Total : 0.56
% 2.20/1.58 Index Insertion : 0.00
% 2.20/1.58 Index Deletion : 0.00
% 2.20/1.58 Index Matching : 0.00
% 2.20/1.58 BG Taut test : 0.00
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