%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN283-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 12:19:57 EDT 2022
% Result : Unsatisfiable 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 10 RR)
% Number of literals : 18 ( 0 equ; 12 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ q1(a,b,a),
file('SYN283-1.p',unknown),
[] ).
cnf(7,axiom,
q0(b,b),
file('SYN283-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN283-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN283-1.p',unknown),
[] ).
cnf(21,axiom,
l0(a),
file('SYN283-1.p',unknown),
[] ).
cnf(143,axiom,
( ~ r0(u)
| ~ l0(v)
| ~ q0(w,w)
| ~ p0(x,v)
| q1(v,w,v) ),
file('SYN283-1.p',unknown),
[] ).
cnf(420,plain,
( ~ l0(a)
| ~ r0(u)
| ~ p0(v,a)
| ~ q0(b,b) ),
inference(res,[status(thm),theory(equality)],[143,1]),
[iquote('0:Res:143.4,1.0')] ).
cnf(421,plain,
( ~ r0(u)
| ~ p0(v,a) ),
inference(mrr,[status(thm)],[420,21,7]),
[iquote('0:MRR:420.0,420.3,21.0,7.0')] ).
cnf(473,plain,
~ p0(u,a),
inference(ems,[status(thm)],[421,10]),
[iquote('0:EmS:421.0,10.0')] ).
cnf(475,plain,
$false,
inference(unc,[status(thm)],[473,15]),
[iquote('0:UnC:473.0,15.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN283-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n028.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 : Mon Jul 11 16:31:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.46
% 0.19/0.46 SPASS V 3.9
% 0.19/0.46 SPASS beiseite: Proof found.
% 0.19/0.46 % SZS status Theorem
% 0.19/0.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 SPASS derived 22 clauses, backtracked 0 clauses, performed 0 splits and kept 352 clauses.
% 0.19/0.46 SPASS allocated 76111 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.11 on the problem.
% 0.19/0.46 0:00:00.04 for the input.
% 0.19/0.46 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.46 0:00:00.00 for inferences.
% 0.19/0.46 0:00:00.00 for the backtracking.
% 0.19/0.46 0:00:00.03 for the reduction.
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 Here is a proof with depth 2, length 10 :
% 0.19/0.46 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : prove_this axiom_6 axiom_9 axiom_14 axiom_20 rule_104
% 0.19/0.46
%------------------------------------------------------------------------------