TSTP Solution File: SYN293-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN293-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 12:20:01 EDT 2022
% Result : Unsatisfiable 0.18s 0.45s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 18 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ q1(d,d,a),
file('SYN293-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN293-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN293-1.p',unknown),
[] ).
cnf(35,axiom,
n0(c,d),
file('SYN293-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN293-1.p',unknown),
[] ).
cnf(148,axiom,
( ~ k1(u)
| ~ p0(v,v)
| ~ q0(w,u)
| q1(u,u,w) ),
file('SYN293-1.p',unknown),
[] ).
cnf(419,plain,
( ~ k1(d)
| ~ q0(a,d)
| ~ p0(u,u) ),
inference(res,[status(thm),theory(equality)],[148,1]),
[iquote('0:Res:148.3,1.0')] ).
cnf(423,plain,
( ~ k1(d)
| ~ p0(u,u) ),
inference(mrr,[status(thm)],[419,18]),
[iquote('0:MRR:419.1,18.0')] ).
cnf(461,plain,
k1(d),
inference(res,[status(thm),theory(equality)],[35,40]),
[iquote('0:Res:35.0,40.0')] ).
cnf(469,plain,
~ p0(u,u),
inference(mrr,[status(thm)],[423,461]),
[iquote('0:MRR:423.0,461.0')] ).
cnf(476,plain,
$false,
inference(unc,[status(thm)],[469,15]),
[iquote('0:UnC:469.0,15.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN293-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n005.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 : Mon Jul 11 22:52:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45
% 0.18/0.45 SPASS V 3.9
% 0.18/0.45 SPASS beiseite: Proof found.
% 0.18/0.45 % SZS status Theorem
% 0.18/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 SPASS derived 22 clauses, backtracked 0 clauses, performed 0 splits and kept 352 clauses.
% 0.18/0.45 SPASS allocated 76108 KBytes.
% 0.18/0.45 SPASS spent 0:00:00.11 on the problem.
% 0.18/0.45 0:00:00.04 for the input.
% 0.18/0.45 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.45 0:00:00.00 for inferences.
% 0.18/0.45 0:00:00.00 for the backtracking.
% 0.18/0.45 0:00:00.03 for the reduction.
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 Here is a proof with depth 1, length 11 :
% 0.18/0.45 % SZS output start Refutation
% See solution above
% 0.18/0.45 Formulae used in the proof : prove_this axiom_14 axiom_17 axiom_34 rule_001 rule_109
% 0.18/0.45
%------------------------------------------------------------------------------