TSTP Solution File: SYN584-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN584-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 : Thu Jul 21 12:23:02 EDT 2022
% Result : Unsatisfiable 35.31s 35.53s
% Output : Refutation 35.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 13 RR)
% Number of literals : 22 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p12(u,u),
file('SYN584-1.p',unknown),
[] ).
cnf(4,axiom,
p3(u,u),
file('SYN584-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ p12(u,v)
| ~ p12(u,w)
| p12(w,v) ),
file('SYN584-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ p12(u,v)
| ~ p3(w,x)
| ~ p15(u,w)
| p15(v,x) ),
file('SYN584-1.p',unknown),
[] ).
cnf(21,axiom,
p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
file('SYN584-1.p',unknown),
[] ).
cnf(23,axiom,
p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22),
file('SYN584-1.p',unknown),
[] ).
cnf(25,axiom,
~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
file('SYN584-1.p',unknown),
[] ).
cnf(35,plain,
( ~ p12(u,v)
| p12(v,u) ),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(257,plain,
p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))),
inference(res,[status(thm),theory(equality)],[23,35]),
[iquote('0:Res:23.0,35.0')] ).
cnf(802,plain,
( ~ p3(u,v)
| ~ p15(c22,u)
| p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),v) ),
inference(res,[status(thm),theory(equality)],[257,15]),
[iquote('0:Res:257.0,15.0')] ).
cnf(4529,plain,
( ~ p15(c22,u)
| p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),u) ),
inference(res,[status(thm),theory(equality)],[4,802]),
[iquote('0:Res:4.0,802.0')] ).
cnf(15002,plain,
~ p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
inference(res,[status(thm),theory(equality)],[4529,25]),
[iquote('0:Res:4529.1,25.0')] ).
cnf(15006,plain,
$false,
inference(mrr,[status(thm)],[15002,21]),
[iquote('0:MRR:15002.0,21.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN584-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 16:17:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 35.31/35.53
% 35.31/35.53 SPASS V 3.9
% 35.31/35.53 SPASS beiseite: Proof found.
% 35.31/35.53 % SZS status Theorem
% 35.31/35.53 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.31/35.53 SPASS derived 14980 clauses, backtracked 0 clauses, performed 0 splits and kept 6571 clauses.
% 35.31/35.53 SPASS allocated 75427 KBytes.
% 35.31/35.53 SPASS spent 0:0:34.60 on the problem.
% 35.31/35.53 0:00:00.04 for the input.
% 35.31/35.53 0:00:00.00 for the FLOTTER CNF translation.
% 35.31/35.53 0:00:00.20 for inferences.
% 35.31/35.53 0:00:00.00 for the backtracking.
% 35.31/35.53 0:0:34.27 for the reduction.
% 35.31/35.53
% 35.31/35.53
% 35.31/35.53 Here is a proof with depth 5, length 13 :
% 35.31/35.53 % SZS output start Refutation
% See solution above
% 35.31/35.53 Formulae used in the proof : p12_1 p3_4 p12_9 p15_15 p15_21 p12_23 not_p15_25
% 35.31/35.53
%------------------------------------------------------------------------------