TSTP Solution File: COL089-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : COL089-1 : TPTP v8.1.2. Released v2.7.0.
% 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 : n016.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 10:35:02 EDT 2023
% Result : Unsatisfiable 18.44s 7.59s
% Output : CNFRefutation 18.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 31
% Syntax : Number of formulae : 55 ( 15 unt; 21 typ; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 91 ( 49 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 13 >; 19 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 41 (; 41 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ap_contractE_c4 > ap_contractE_c3 > ap_contractE_c2 > ap_contractE_c1 > member > trans > ap_contractE_sk3q > ap_contractE_sk2q > ap_contractE_sk1q > ap_contractE_sk1p > pair > comb_app > #nlpp > rtrancl > z > y > r > p > contract > combS > combK > comb
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(r,type,
r: $i ).
tff(comb_app,type,
comb_app: ( $i * $i ) > $i ).
tff(ap_contractE_sk1q,type,
ap_contractE_sk1q: ( $i * $i * $i ) > $i ).
tff(trans,type,
trans: $i > $o ).
tff(ap_contractE_sk2q,type,
ap_contractE_sk2q: ( $i * $i * $i ) > $i ).
tff(rtrancl,type,
rtrancl: $i > $i ).
tff(ap_contractE_sk3q,type,
ap_contractE_sk3q: ( $i * $i * $i ) > $i ).
tff(y,type,
y: $i ).
tff(combS,type,
combS: $i ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff(ap_contractE_c3,type,
ap_contractE_c3: ( $i * $i * $i ) > $o ).
tff(ap_contractE_c4,type,
ap_contractE_c4: ( $i * $i * $i ) > $o ).
tff(pair,type,
pair: ( $i * $i ) > $i ).
tff(contract,type,
contract: $i ).
tff(ap_contractE_c2,type,
ap_contractE_c2: ( $i * $i * $i ) > $o ).
tff(z,type,
z: $i ).
tff(combK,type,
combK: $i ).
tff(p,type,
p: $i ).
tff(ap_contractE_sk1p,type,
ap_contractE_sk1p: ( $i * $i * $i ) > $i ).
tff(comb,type,
comb: $i ).
tff(ap_contractE_c1,type,
ap_contractE_c1: ( $i * $i * $i ) > $o ).
tff(f_262,axiom,
member(r,comb),
file(unknown,unknown) ).
tff(f_265,axiom,
member(pair(y,z),contract),
file(unknown,unknown) ).
tff(f_261,axiom,
! [A,B] :
( ~ member(pair(A,B),contract)
| member(B,comb) ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [P,Q] :
( ~ member(P,comb)
| ~ member(Q,comb)
| member(comb_app(P,Q),comb) ),
file(unknown,unknown) ).
tff(f_77,axiom,
! [A] :
( ~ member(A,comb)
| member(pair(A,A),rtrancl(contract)) ),
file(unknown,unknown) ).
tff(f_238,axiom,
! [P3,Q3,R3,C] :
( ~ member(pair(P3,Q3),contract)
| ~ member(R3,comb)
| ~ member(pair(comb_app(R3,Q3),C),rtrancl(contract))
| member(pair(comb_app(R3,P3),C),rtrancl(contract)) ),
file(unknown,unknown) ).
tff(f_268,axiom,
~ member(pair(comb_app(r,p),comb_app(r,z)),rtrancl(contract)),
file(unknown,unknown) ).
tff(f_266,axiom,
member(pair(comb_app(r,p),comb_app(r,y)),rtrancl(contract)),
file(unknown,unknown) ).
tff(f_243,axiom,
! [R] : trans(rtrancl(R)),
file(unknown,unknown) ).
tff(f_255,axiom,
! [R,A,B,C] :
( ~ trans(R)
| ~ member(pair(A,B),R)
| ~ member(pair(B,C),R)
| member(pair(A,C),R) ),
file(unknown,unknown) ).
tff(c_79,plain,
member(r,comb),
inference(cnfTransformation,[status(thm)],[f_262]) ).
tff(c_85,plain,
member(pair(y,z),contract),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_105,plain,
! [B_124,A_125] :
( member(B_124,comb)
| ~ member(pair(A_125,B_124),contract) ),
inference(cnfTransformation,[status(thm)],[f_261]) ).
tff(c_109,plain,
member(z,comb),
inference(resolution,[status(thm)],[c_85,c_105]) ).
tff(c_23,plain,
! [P_21,Q_22] :
( member(comb_app(P_21,Q_22),comb)
| ~ member(Q_22,comb)
| ~ member(P_21,comb) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_25,plain,
! [A_23] :
( member(pair(A_23,A_23),rtrancl(contract))
| ~ member(A_23,comb) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_587,plain,
! [R3_289,P3_290,C_291,Q3_292] :
( member(pair(comb_app(R3_289,P3_290),C_291),rtrancl(contract))
| ~ member(pair(comb_app(R3_289,Q3_292),C_291),rtrancl(contract))
| ~ member(R3_289,comb)
| ~ member(pair(P3_290,Q3_292),contract) ),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_1916,plain,
! [R3_756,P3_757,Q3_758] :
( member(pair(comb_app(R3_756,P3_757),comb_app(R3_756,Q3_758)),rtrancl(contract))
| ~ member(R3_756,comb)
| ~ member(pair(P3_757,Q3_758),contract)
| ~ member(comb_app(R3_756,Q3_758),comb) ),
inference(resolution,[status(thm)],[c_25,c_587]) ).
tff(c_89,plain,
~ member(pair(comb_app(r,p),comb_app(r,z)),rtrancl(contract)),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_1928,plain,
( ~ member(r,comb)
| ~ member(pair(p,z),contract)
| ~ member(comb_app(r,z),comb) ),
inference(resolution,[status(thm)],[c_1916,c_89]) ).
tff(c_1979,plain,
( ~ member(pair(p,z),contract)
| ~ member(comb_app(r,z),comb) ),
inference(demodulation,[status(thm),theory(equality)],[c_79,c_1928]) ).
tff(c_1984,plain,
~ member(comb_app(r,z),comb),
inference(splitLeft,[status(thm)],[c_1979]) ).
tff(c_1987,plain,
( ~ member(z,comb)
| ~ member(r,comb) ),
inference(resolution,[status(thm)],[c_23,c_1984]) ).
tff(c_1991,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79,c_109,c_1987]) ).
tff(c_1993,plain,
member(comb_app(r,z),comb),
inference(splitRight,[status(thm)],[c_1979]) ).
tff(c_87,plain,
member(pair(comb_app(r,p),comb_app(r,y)),rtrancl(contract)),
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_73,plain,
! [R_91] : trans(rtrancl(R_91)),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_75,plain,
! [A_93,C_95,R_92,B_94] :
( member(pair(A_93,C_95),R_92)
| ~ member(pair(B_94,C_95),R_92)
| ~ member(pair(A_93,B_94),R_92)
| ~ trans(R_92) ),
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_1925,plain,
! [A_93,R3_756,Q3_758,P3_757] :
( member(pair(A_93,comb_app(R3_756,Q3_758)),rtrancl(contract))
| ~ member(pair(A_93,comb_app(R3_756,P3_757)),rtrancl(contract))
| ~ trans(rtrancl(contract))
| ~ member(R3_756,comb)
| ~ member(pair(P3_757,Q3_758),contract)
| ~ member(comb_app(R3_756,Q3_758),comb) ),
inference(resolution,[status(thm)],[c_1916,c_75]) ).
tff(c_22344,plain,
! [A_2906,R3_2907,Q3_2908,P3_2909] :
( member(pair(A_2906,comb_app(R3_2907,Q3_2908)),rtrancl(contract))
| ~ member(pair(A_2906,comb_app(R3_2907,P3_2909)),rtrancl(contract))
| ~ member(R3_2907,comb)
| ~ member(pair(P3_2909,Q3_2908),contract)
| ~ member(comb_app(R3_2907,Q3_2908),comb) ),
inference(demodulation,[status(thm),theory(equality)],[c_73,c_1925]) ).
tff(c_22472,plain,
! [Q3_2908] :
( member(pair(comb_app(r,p),comb_app(r,Q3_2908)),rtrancl(contract))
| ~ member(r,comb)
| ~ member(pair(y,Q3_2908),contract)
| ~ member(comb_app(r,Q3_2908),comb) ),
inference(resolution,[status(thm)],[c_87,c_22344]) ).
tff(c_22536,plain,
! [Q3_2910] :
( member(pair(comb_app(r,p),comb_app(r,Q3_2910)),rtrancl(contract))
| ~ member(pair(y,Q3_2910),contract)
| ~ member(comb_app(r,Q3_2910),comb) ),
inference(demodulation,[status(thm),theory(equality)],[c_79,c_22472]) ).
tff(c_22576,plain,
( ~ member(pair(y,z),contract)
| ~ member(comb_app(r,z),comb) ),
inference(resolution,[status(thm)],[c_22536,c_89]) ).
tff(c_22620,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1993,c_85,c_22576]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : COL089-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 18:41:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 18.44/7.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.44/7.60
% 18.44/7.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.44/7.62
% 18.44/7.62 Inference rules
% 18.44/7.62 ----------------------
% 18.44/7.62 #Ref : 47
% 18.44/7.62 #Sup : 6764
% 18.44/7.62 #Fact : 0
% 18.44/7.62 #Define : 0
% 18.44/7.62 #Split : 31
% 18.44/7.62 #Chain : 0
% 18.44/7.62 #Close : 0
% 18.44/7.62
% 18.44/7.62 Ordering : KBO
% 18.44/7.62
% 18.44/7.62 Simplification rules
% 18.44/7.62 ----------------------
% 18.44/7.62 #Subsume : 1460
% 18.44/7.62 #Demod : 408
% 18.44/7.62 #Tautology : 140
% 18.44/7.62 #SimpNegUnit : 216
% 18.44/7.62 #BackRed : 0
% 18.44/7.62
% 18.44/7.62 #Partial instantiations: 0
% 18.44/7.62 #Strategies tried : 1
% 18.44/7.62
% 18.44/7.62 Timing (in seconds)
% 18.44/7.62 ----------------------
% 18.44/7.63 Preprocessing : 0.61
% 18.44/7.63 Parsing : 0.32
% 18.44/7.63 CNF conversion : 0.03
% 18.44/7.63 Main loop : 5.94
% 18.44/7.63 Inferencing : 1.36
% 18.44/7.63 Reduction : 1.28
% 18.44/7.63 Demodulation : 0.76
% 18.44/7.63 BG Simplification : 0.15
% 18.44/7.63 Subsumption : 2.73
% 18.44/7.63 Abstraction : 0.12
% 18.44/7.63 MUC search : 0.00
% 18.44/7.63 Cooper : 0.00
% 18.44/7.63 Total : 6.59
% 18.44/7.63 Index Insertion : 0.00
% 18.44/7.63 Index Deletion : 0.00
% 18.44/7.63 Index Matching : 0.00
% 18.44/7.63 BG Taut test : 0.00
%------------------------------------------------------------------------------