TSTP Solution File: PUZ037-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ037-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 : 600s
% DateTime : Mon Jul 18 18:27:22 EDT 2022
% Result : Unsatisfiable 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-54 aty)
% Number of functors : 60 ( 60 usr; 60 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,r,r,r,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg),
file('PUZ037-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ state(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48)
| state(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x25,x26,x27,x16,x17,x18,x19,x20,x21,x22,x23,x24,x28,x29,x30,x31,x32,x33,x34,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48) ),
file('PUZ037-1.p',unknown),
[] ).
cnf(20,axiom,
~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg),
file('PUZ037-1.p',unknown),
[] ).
cnf(23,plain,
~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,r,r,r,r,r,r,g,g,g,o,o,o,y__dfg,y__dfg,y__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg,w__dfg),
inference(res,[status(thm),theory(equality)],[12,20]),
[iquote('0:Res:12.1,20.0')] ).
cnf(39,plain,
$false,
inference(mrr,[status(thm)],[23,1]),
[iquote('0:MRR:23.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ037-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 20:05:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44
% 0.18/0.44 SPASS V 3.9
% 0.18/0.44 SPASS beiseite: Proof found.
% 0.18/0.44 % SZS status Theorem
% 0.18/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 SPASS derived 18 clauses, backtracked 0 clauses, performed 0 splits and kept 36 clauses.
% 0.18/0.44 SPASS allocated 63313 KBytes.
% 0.18/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.18/0.44 0:00:00.05 for the input.
% 0.18/0.44 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.44 0:00:00.00 for inferences.
% 0.18/0.44 0:00:00.00 for the backtracking.
% 0.18/0.44 0:00:00.01 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 1, length 5 :
% 0.18/0.44 % SZS output start Refutation
% See solution above
% 0.18/0.44 Formulae used in the proof : start_with_this myx make_like_this
% 0.18/0.44
%------------------------------------------------------------------------------