%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN263-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 12:19:49 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 12 unt; 0 nHn; 18 RR)
% Number of literals : 26 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 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,
~ p1(d,d,a),
file('SYN263-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN263-1.p',unknown),
[] ).
cnf(13,axiom,
m0(a,u,a),
file('SYN263-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN263-1.p',unknown),
[] ).
cnf(21,axiom,
l0(a),
file('SYN263-1.p',unknown),
[] ).
cnf(39,axiom,
m0(b,a,a),
file('SYN263-1.p',unknown),
[] ).
cnf(121,axiom,
( ~ p1(u,v,w)
| ~ m0(u,v,w)
| p1(v,x,u) ),
file('SYN263-1.p',unknown),
[] ).
cnf(126,axiom,
( ~ r0(b)
| ~ p1(a,a,a)
| p1(a,b,a) ),
file('SYN263-1.p',unknown),
[] ).
cnf(127,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('SYN263-1.p',unknown),
[] ).
cnf(371,plain,
p1(a,a,a),
inference(mrr,[status(thm)],[127,21]),
[iquote('0:MRR:127.0,21.0')] ).
cnf(389,plain,
p1(a,b,a),
inference(mrr,[status(thm)],[126,10,371]),
[iquote('0:MRR:126.0,126.1,10.0,371.0')] ).
cnf(421,plain,
( ~ m0(a,d,u)
| ~ p1(a,d,u) ),
inference(res,[status(thm),theory(equality)],[121,1]),
[iquote('0:Res:121.2,1.0')] ).
cnf(423,plain,
~ p1(a,d,u),
inference(mrr,[status(thm)],[421,20]),
[iquote('0:MRR:421.0,20.0')] ).
cnf(1262,plain,
( ~ m0(a,b,a)
| p1(b,u,a) ),
inference(res,[status(thm),theory(equality)],[389,121]),
[iquote('0:Res:389.0,121.0')] ).
cnf(1276,plain,
p1(b,u,a),
inference(mrr,[status(thm)],[1262,13]),
[iquote('0:MRR:1262.0,13.0')] ).
cnf(1277,plain,
( ~ m0(b,u,a)
| p1(u,v,b) ),
inference(res,[status(thm),theory(equality)],[1276,121]),
[iquote('0:Res:1276.0,121.0')] ).
cnf(1529,plain,
p1(a,u,b),
inference(res,[status(thm),theory(equality)],[39,1277]),
[iquote('0:Res:39.0,1277.0')] ).
cnf(1531,plain,
$false,
inference(unc,[status(thm)],[1529,423]),
[iquote('0:UnC:1529.0,423.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN263-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 11:19:02 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.53
% 0.20/0.53 SPASS V 3.9
% 0.20/0.53 SPASS beiseite: Proof found.
% 0.20/0.53 % SZS status Theorem
% 0.20/0.53 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53 SPASS derived 988 clauses, backtracked 0 clauses, performed 0 splits and kept 814 clauses.
% 0.20/0.53 SPASS allocated 76696 KBytes.
% 0.20/0.53 SPASS spent 0:00:00.18 on the problem.
% 0.20/0.53 0:00:00.04 for the input.
% 0.20/0.53 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.53 0:00:00.01 for inferences.
% 0.20/0.53 0:00:00.00 for the backtracking.
% 0.20/0.53 0:00:00.07 for the reduction.
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 Here is a proof with depth 3, length 18 :
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.54 Formulae used in the proof : prove_this axiom_9 axiom_12 axiom_19 axiom_20 axiom_38 rule_082 rule_087 rule_088
% 0.20/0.54
%------------------------------------------------------------------------------