TSTP Solution File: COL112-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : COL112-2 : 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 : n020.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 10:35:07 EDT 2023
% Result : Unsatisfiable 2.47s 1.62s
% Output : CNFRefutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of formulae : 17 ( 6 unt; 9 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 : 4 ( 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 : 8 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 8 (; 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_in > c_Pair > tc_prod > c_Comb_Ocomb_Oop_A_D_D > #nlpp > v_ya > v_x > tc_Comb_Ocomb > c_Comb_Oparcontract > c_Comb_Ocomb_OK
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(c_Comb_Ocomb_OK,type,
c_Comb_Ocomb_OK: $i ).
tff(tc_prod,type,
tc_prod: ( $i * $i ) > $i ).
tff(v_ya,type,
v_ya: $i ).
tff(c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(c_Comb_Oparcontract,type,
c_Comb_Oparcontract: $i ).
tff(c_Pair,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(c_Comb_Ocomb_Oop_A_D_D,type,
c_Comb_Ocomb_Oop_A_D_D: ( $i * $i ) > $i ).
tff(tc_Comb_Ocomb,type,
tc_Comb_Ocomb: $i ).
tff(f_33,axiom,
! [V_x] : c_in(c_Pair(V_x,V_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file(unknown,unknown) ).
tff(f_35,axiom,
! [V_x,V_y] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_x),V_y),V_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file(unknown,unknown) ).
tff(f_31,axiom,
! [V_U] :
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),V_U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_x,V_U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file(unknown,unknown) ).
tff(c_4,plain,
! [V_x_2] : c_in(c_Pair(V_x_2,V_x_2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_6,plain,
! [V_x_3,V_y_4] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,V_x_3),V_y_4),V_x_3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_9,plain,
! [V_U_8] :
( ~ c_in(c_Pair(v_x,V_U_8,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),V_U_8,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_13,plain,
~ c_in(c_Pair(v_x,v_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolution,[status(thm)],[c_6,c_9]) ).
tff(c_21,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : COL112-2 : 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
% 0.13/0.36 % Computer : n020.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 18:10:52 EDT 2023
% 0.13/0.36 % CPUTime :
% 2.47/1.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.47/1.62
% 2.47/1.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.47/1.66
% 2.47/1.66 Inference rules
% 2.47/1.66 ----------------------
% 2.47/1.66 #Ref : 0
% 2.47/1.66 #Sup : 2
% 2.47/1.66 #Fact : 0
% 2.47/1.66 #Define : 0
% 2.47/1.66 #Split : 0
% 2.47/1.66 #Chain : 0
% 2.47/1.66 #Close : 0
% 2.47/1.66
% 2.47/1.66 Ordering : KBO
% 2.47/1.66
% 2.47/1.66 Simplification rules
% 2.47/1.66 ----------------------
% 2.47/1.66 #Subsume : 0
% 2.47/1.66 #Demod : 1
% 2.47/1.66 #Tautology : 0
% 2.47/1.66 #SimpNegUnit : 0
% 2.47/1.66 #BackRed : 0
% 2.47/1.66
% 2.47/1.66 #Partial instantiations: 0
% 2.47/1.66 #Strategies tried : 1
% 2.47/1.66
% 2.47/1.66 Timing (in seconds)
% 2.47/1.66 ----------------------
% 2.62/1.66 Preprocessing : 0.40
% 2.62/1.66 Parsing : 0.22
% 2.62/1.66 CNF conversion : 0.02
% 2.62/1.66 Main loop : 0.12
% 2.62/1.66 Inferencing : 0.05
% 2.62/1.66 Reduction : 0.03
% 2.62/1.66 Demodulation : 0.02
% 2.62/1.66 BG Simplification : 0.01
% 2.62/1.66 Subsumption : 0.03
% 2.62/1.66 Abstraction : 0.00
% 2.62/1.66 MUC search : 0.00
% 2.62/1.66 Cooper : 0.00
% 2.62/1.66 Total : 0.58
% 2.62/1.66 Index Insertion : 0.00
% 2.62/1.66 Index Deletion : 0.00
% 2.62/1.66 Index Matching : 0.00
% 2.62/1.66 BG Taut test : 0.00
%------------------------------------------------------------------------------