TSTP Solution File: SYN173-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN173-1 : 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 12:19:12 EDT 2022
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 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(e,a,e),
file('SYN173-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN173-1.p',unknown),
[] ).
cnf(38,axiom,
n0(b,a),
file('SYN173-1.p',unknown),
[] ).
cnf(131,axiom,
( ~ p0(u,v)
| ~ n0(w,x)
| q1(v,x,v) ),
file('SYN173-1.p',unknown),
[] ).
cnf(420,plain,
( ~ p0(u,e)
| ~ n0(v,a) ),
inference(res,[status(thm),theory(equality)],[131,1]),
[iquote('0:Res:131.2,1.0')] ).
cnf(493,plain,
~ n0(u,a),
inference(res,[status(thm),theory(equality)],[15,420]),
[iquote('0:Res:15.0,420.0')] ).
cnf(494,plain,
$false,
inference(unc,[status(thm)],[493,38]),
[iquote('0:UnC:493.0,38.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN173-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % 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 : Tue Jul 12 01:21:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46
% 0.18/0.46 SPASS V 3.9
% 0.18/0.46 SPASS beiseite: Proof found.
% 0.18/0.46 % SZS status Theorem
% 0.18/0.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 SPASS derived 42 clauses, backtracked 0 clauses, performed 0 splits and kept 368 clauses.
% 0.18/0.46 SPASS allocated 76126 KBytes.
% 0.18/0.46 SPASS spent 0:00:00.11 on the problem.
% 0.18/0.46 0:00:00.04 for the input.
% 0.18/0.46 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.46 0:00:00.00 for inferences.
% 0.18/0.46 0:00:00.00 for the backtracking.
% 0.18/0.46 0:00:00.03 for the reduction.
% 0.18/0.46
% 0.18/0.46
% 0.18/0.46 Here is a proof with depth 2, length 7 :
% 0.18/0.46 % SZS output start Refutation
% See solution above
% 0.18/0.46 Formulae used in the proof : prove_this axiom_14 axiom_37 rule_092
% 0.18/0.46
%------------------------------------------------------------------------------