TSTP Solution File: PUZ037-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ037-2 : 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 8.49s 8.67s
% Output : Refutation 8.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 12 ( 0 equ; 5 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(y__dfg,b,y__dfg,y__dfg,b,y__dfg,y__dfg,b,y__dfg,r,r,r,b,g,b,o,o,o,w__dfg,y__dfg,w__dfg,w__dfg,y__dfg,w__dfg,r,r,r,b,g,b,o,o,o,r,r,r,b,g,b,o,o,o,w__dfg,y__dfg,w__dfg,g,w__dfg,g,g,w__dfg,g,g,w__dfg,g),
file('PUZ037-2.p',unknown),
[] ).
cnf(3,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,x19,x20,x21,x22,x23,x24,x25,x26,x27,x16,x17,x18,x28,x29,x30,x31,x32,x33,x34,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48) ),
file('PUZ037-2.p',unknown),
[] ).
cnf(8,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(x7,v,w,x19,y,z,x31,x2,x3,x6,x18,x30,x40,x8,x9,x10,x11,x12,x13,x14,x1,x5,x17,x29,x43,x20,x21,x22,x23,x24,x25,x26,x,x4,x16,x28,x46,x32,x33,x34,x35,x36,x37,x38,u,x39,x41,x42,x27,x44,x45,x15,x47,x48) ),
file('PUZ037-2.p',unknown),
[] ).
cnf(10,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,x9,x,y,x21,x1,x2,x33,x4,x5,x6,x7,x8,x42,x34,x22,x10,x3,x14,x15,x16,x17,x18,x19,x20,x45,x35,x23,x11,z,x26,x27,x28,x29,x30,x31,x32,x48,x36,x24,x12,w,x38,x39,x40,x41,x37,x43,x44,x25,x46,x47,x13) ),
file('PUZ037-2.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('PUZ037-2.p',unknown),
[] ).
cnf(30,plain,
~ state(y__dfg,b,b,y__dfg,b,b,y__dfg,b,b,r,r,r,b,g,g,o,o,o,y__dfg,y__dfg,w__dfg,r,r,r,b,g,g,o,o,o,y__dfg,y__dfg,w__dfg,r,r,r,b,g,g,o,o,o,y__dfg,y__dfg,w__dfg,g,w__dfg,w__dfg,g,w__dfg,w__dfg,g,w__dfg,w__dfg),
inference(res,[status(thm),theory(equality)],[8,20]),
[iquote('0:Res:8.1,20.0')] ).
cnf(1063,plain,
state(y__dfg,b,y__dfg,y__dfg,b,y__dfg,y__dfg,b,y__dfg,r,r,r,b,g,b,o,o,o,w__dfg,y__dfg,w__dfg,r,r,r,b,g,b,o,o,o,w__dfg,y__dfg,w__dfg,r,r,r,b,g,b,o,o,o,w__dfg,y__dfg,w__dfg,g,w__dfg,g,g,w__dfg,g,g,w__dfg,g),
inference(res,[status(thm),theory(equality)],[1,3]),
[iquote('0:Res:1.0,3.0')] ).
cnf(2153,plain,
state(y__dfg,b,b,y__dfg,b,b,y__dfg,b,b,r,r,r,b,g,g,o,o,o,y__dfg,y__dfg,w__dfg,r,r,r,b,g,g,o,o,o,y__dfg,y__dfg,w__dfg,r,r,r,b,g,g,o,o,o,y__dfg,y__dfg,w__dfg,g,w__dfg,w__dfg,g,w__dfg,w__dfg,g,w__dfg,w__dfg),
inference(res,[status(thm),theory(equality)],[1063,10]),
[iquote('0:Res:1063.0,10.0')] ).
cnf(2163,plain,
$false,
inference(mrr,[status(thm)],[2153,30]),
[iquote('0:MRR:2153.0,30.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ037-2 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun May 29 00:31:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 8.49/8.67
% 8.49/8.67 SPASS V 3.9
% 8.49/8.67 SPASS beiseite: Proof found.
% 8.49/8.67 % SZS status Theorem
% 8.49/8.67 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.49/8.67 SPASS derived 2142 clauses, backtracked 0 clauses, performed 0 splits and kept 1811 clauses.
% 8.49/8.67 SPASS allocated 70267 KBytes.
% 8.49/8.67 SPASS spent 0:00:01.44 on the problem.
% 8.49/8.67 0:00:00.06 for the input.
% 8.49/8.67 0:00:00.00 for the FLOTTER CNF translation.
% 8.49/8.67 0:00:00.05 for inferences.
% 8.49/8.67 0:00:00.00 for the backtracking.
% 8.49/8.67 0:00:00.78 for the reduction.
% 8.49/8.67
% 8.49/8.67
% 8.49/8.67 Here is a proof with depth 2, length 9 :
% 8.49/8.67 % SZS output start Refutation
% See solution above
% 8.49/8.67 Formulae used in the proof : start_with_this mxy lzx rzx make_like_this
% 8.49/8.67
%------------------------------------------------------------------------------