%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN189-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 12:19:19 EDT 2022
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 15 RR)
% Number of literals : 25 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ r2(c),
file('SYN189-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN189-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN189-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN189-1.p',unknown),
[] ).
cnf(25,axiom,
l0(c),
file('SYN189-1.p',unknown),
[] ).
cnf(160,axiom,
( ~ m0(u,v,w)
| q1(w,w,w) ),
file('SYN189-1.p',unknown),
[] ).
cnf(163,axiom,
( ~ q0(u,v)
| ~ s0(d)
| ~ q1(d,v,d)
| r1(u) ),
file('SYN189-1.p',unknown),
[] ).
cnf(227,axiom,
( ~ l0(u)
| ~ r1(u)
| r2(u) ),
file('SYN189-1.p',unknown),
[] ).
cnf(401,plain,
( ~ q0(u,v)
| ~ q1(d,v,d)
| r1(u) ),
inference(mrr,[status(thm)],[163,2]),
[iquote('0:MRR:163.1,2.0')] ).
cnf(419,plain,
( ~ r1(c)
| ~ l0(c) ),
inference(res,[status(thm),theory(equality)],[227,1]),
[iquote('0:Res:227.2,1.0')] ).
cnf(420,plain,
~ r1(c),
inference(mrr,[status(thm)],[419,25]),
[iquote('0:MRR:419.1,25.0')] ).
cnf(651,plain,
q1(u,u,u),
inference(res,[status(thm),theory(equality)],[20,160]),
[iquote('0:Res:20.0,160.0')] ).
cnf(679,plain,
( ~ q0(u,d)
| r1(u) ),
inference(res,[status(thm),theory(equality)],[651,401]),
[iquote('0:Res:651.0,401.1')] ).
cnf(680,plain,
r1(u),
inference(mrr,[status(thm)],[679,18]),
[iquote('0:MRR:679.0,18.0')] ).
cnf(681,plain,
$false,
inference(unc,[status(thm)],[680,420]),
[iquote('0:UnC:680.0,420.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN189-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 15:38:19 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/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 SPASS derived 225 clauses, backtracked 0 clauses, performed 0 splits and kept 453 clauses.
% 0.19/0.47 SPASS allocated 76188 KBytes.
% 0.19/0.47 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.47 0:00:00.04 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 0:00:00.04 for the reduction.
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Here is a proof with depth 2, length 15 :
% 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_17 axiom_19 axiom_24 rule_121 rule_124 rule_188
% 0.19/0.47
%------------------------------------------------------------------------------