%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN134-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 12:18:56 EDT 2022
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ m2(d),
file('SYN134-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN134-1.p',unknown),
[] ).
cnf(8,axiom,
n0(d,b),
file('SYN134-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN134-1.p',unknown),
[] ).
cnf(174,axiom,
( ~ s0(u)
| ~ l1(v,w)
| m2(u) ),
file('SYN134-1.p',unknown),
[] ).
cnf(419,plain,
( ~ s0(d)
| ~ l1(u,v) ),
inference(res,[status(thm),theory(equality)],[174,1]),
[iquote('0:Res:174.2,1.0')] ).
cnf(420,plain,
~ l1(u,v),
inference(mrr,[status(thm)],[419,2]),
[iquote('0:MRR:419.0,2.0')] ).
cnf(421,plain,
~ n0(u,v),
inference(mrr,[status(thm)],[41,420]),
[iquote('0:MRR:41.1,420.0')] ).
cnf(423,plain,
$false,
inference(unc,[status(thm)],[421,8]),
[iquote('0:UnC:421.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN134-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n019.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 21:55:38 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.47
% 0.19/0.47 SPASS V 3.9
% 0.19/0.47 SPASS beiseite: Proof found.
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 335 clauses.
% 0.19/0.47 SPASS allocated 76098 KBytes.
% 0.19/0.47 SPASS spent 0:00:00.11 on the problem.
% 0.19/0.47 0:00:00.05 for the input.
% 0.19/0.47 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.47 0:00:00.00 for inferences.
% 0.19/0.47 0:00:00.00 for the backtracking.
% 0.19/0.47 0:00:00.03 for the reduction.
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Here is a proof with depth 1, length 9 :
% 0.19/0.47 % SZS output start Refutation
% See solution above
% 0.19/0.47 Formulae used in the proof : prove_this axiom_1 axiom_7 rule_002 rule_135
% 0.19/0.47
%------------------------------------------------------------------------------