TSTP Solution File: SYN620-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN620-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 12:23:15 EDT 2022
% Result : Unsatisfiable 3.35s 3.54s
% Output : Refutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 8 unt; 0 nHn; 15 RR)
% Number of literals : 26 ( 0 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p10(u,u),
file('SYN620-1.p',unknown),
[] ).
cnf(5,axiom,
p11(u,u),
file('SYN620-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ p10(u,v)
| p11(f12(u),f12(v)) ),
file('SYN620-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ p10(u,v)
| ~ p10(u,w)
| p10(w,v) ),
file('SYN620-1.p',unknown),
[] ).
cnf(24,axiom,
p10(f13(f6(c22),u),f13(f6(c24),f16(c26,u))),
file('SYN620-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ p11(u,v)
| ~ p20(u,w)
| ~ p11(w,x)
| p20(v,x) ),
file('SYN620-1.p',unknown),
[] ).
cnf(32,axiom,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),u))),
file('SYN620-1.p',unknown),
[] ).
cnf(33,axiom,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
file('SYN620-1.p',unknown),
[] ).
cnf(58,plain,
( ~ p10(u,v)
| p10(v,u) ),
inference(res,[status(thm),theory(equality)],[1,19]),
[iquote('0:Res:1.0,19.0')] ).
cnf(63,plain,
p10(f13(f6(c24),f16(c26,u)),f13(f6(c22),u)),
inference(res,[status(thm),theory(equality)],[24,58]),
[iquote('0:Res:24.0,58.0')] ).
cnf(218,plain,
( ~ p20(u,v)
| ~ p11(v,w)
| p20(u,w) ),
inference(res,[status(thm),theory(equality)],[5,28]),
[iquote('0:Res:5.0,28.0')] ).
cnf(223,plain,
( ~ p11(f12(f13(f6(c24),u)),v)
| p20(f12(f13(f6(c22),f14(f15(f7(c25))))),v) ),
inference(res,[status(thm),theory(equality)],[32,218]),
[iquote('0:Res:32.0,218.0')] ).
cnf(1186,plain,
( ~ p10(f13(f6(c24),u),v)
| p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(v)) ),
inference(res,[status(thm),theory(equality)],[18,223]),
[iquote('0:Res:18.1,223.0')] ).
cnf(7180,plain,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),u))),
inference(res,[status(thm),theory(equality)],[63,1186]),
[iquote('0:Res:63.0,1186.0')] ).
cnf(7188,plain,
$false,
inference(unc,[status(thm)],[7180,33]),
[iquote('0:UnC:7180.0,33.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN620-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.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 : Tue Jul 12 01:42:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.35/3.54
% 3.35/3.54 SPASS V 3.9
% 3.35/3.54 SPASS beiseite: Proof found.
% 3.35/3.54 % SZS status Theorem
% 3.35/3.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.35/3.54 SPASS derived 7104 clauses, backtracked 0 clauses, performed 0 splits and kept 4945 clauses.
% 3.35/3.54 SPASS allocated 80293 KBytes.
% 3.35/3.54 SPASS spent 0:00:03.18 on the problem.
% 3.35/3.54 0:00:00.04 for the input.
% 3.35/3.54 0:00:00.00 for the FLOTTER CNF translation.
% 3.35/3.54 0:00:00.07 for inferences.
% 3.35/3.54 0:00:00.00 for the backtracking.
% 3.35/3.54 0:00:03.01 for the reduction.
% 3.35/3.54
% 3.35/3.54
% 3.35/3.54 Here is a proof with depth 4, length 15 :
% 3.35/3.54 % SZS output start Refutation
% See solution above
% 3.35/3.54 Formulae used in the proof : p10_1 p11_5 p11_18 p10_19 p10_24 p20_28 p20_32 not_p20_33
% 3.35/3.54
%------------------------------------------------------------------------------