TSTP Solution File: SYN272-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN272-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 12:19:53 EDT 2022
% Result : Unsatisfiable 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 28 ( 16 unt; 0 nHn; 28 RR)
% Number of literals : 44 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p4(d,e,u),
file('SYN272-1.p',unknown),
[] ).
cnf(13,axiom,
m0(a,u,a),
file('SYN272-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN272-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN272-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN272-1.p',unknown),
[] ).
cnf(36,axiom,
m0(d,e,c),
file('SYN272-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN272-1.p',unknown),
[] ).
cnf(121,axiom,
( ~ p1(u,v,w)
| ~ m0(u,v,w)
| p1(v,x,u) ),
file('SYN272-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN272-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN272-1.p',unknown),
[] ).
cnf(240,axiom,
( ~ m2(u)
| ~ m2(v)
| ~ p1(w,v,x)
| k3(x,x,w) ),
file('SYN272-1.p',unknown),
[] ).
cnf(326,axiom,
( ~ k3(u,u,v)
| p4(u,v,u) ),
file('SYN272-1.p',unknown),
[] ).
cnf(406,plain,
( ~ m2(u)
| ~ p1(v,u,w)
| k3(w,w,v) ),
inference(con,[status(thm)],[240]),
[iquote('0:Con:240.0')] ).
cnf(420,plain,
~ k3(d,d,e),
inference(res,[status(thm),theory(equality)],[326,1]),
[iquote('0:Res:326.1,1.0')] ).
cnf(461,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(469,plain,
m2(b),
inference(mrr,[status(thm)],[175,461]),
[iquote('0:MRR:175.0,461.0')] ).
cnf(542,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(1262,plain,
( ~ m0(u,u,u)
| p1(u,v,u) ),
inference(res,[status(thm),theory(equality)],[542,121]),
[iquote('0:Res:542.0,121.0')] ).
cnf(1692,plain,
p1(a,u,a),
inference(res,[status(thm),theory(equality)],[13,1262]),
[iquote('0:Res:13.0,1262.0')] ).
cnf(1695,plain,
( ~ m0(a,u,a)
| p1(u,v,a) ),
inference(res,[status(thm),theory(equality)],[1692,121]),
[iquote('0:Res:1692.0,121.0')] ).
cnf(1697,plain,
p1(u,v,a),
inference(mrr,[status(thm)],[1695,13]),
[iquote('0:MRR:1695.0,13.0')] ).
cnf(1699,plain,
( ~ m0(u,v,a)
| p1(v,w,u) ),
inference(res,[status(thm),theory(equality)],[1697,121]),
[iquote('0:Res:1697.0,121.0')] ).
cnf(1722,plain,
p1(d,u,v),
inference(res,[status(thm),theory(equality)],[20,1699]),
[iquote('0:Res:20.0,1699.0')] ).
cnf(1754,plain,
( ~ m0(d,u,v)
| p1(u,w,d) ),
inference(res,[status(thm),theory(equality)],[1722,121]),
[iquote('0:Res:1722.0,121.0')] ).
cnf(1853,plain,
p1(e,u,d),
inference(res,[status(thm),theory(equality)],[36,1754]),
[iquote('0:Res:36.0,1754.0')] ).
cnf(1870,plain,
( ~ m2(u)
| k3(d,d,e) ),
inference(res,[status(thm),theory(equality)],[1853,406]),
[iquote('0:Res:1853.0,406.1')] ).
cnf(1873,plain,
~ m2(u),
inference(mrr,[status(thm)],[1870,420]),
[iquote('0:MRR:1870.1,420.0')] ).
cnf(1874,plain,
$false,
inference(unc,[status(thm)],[1873,469]),
[iquote('0:UnC:1873.0,469.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN272-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n020.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 00:31:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.54
% 0.18/0.54 SPASS V 3.9
% 0.18/0.54 SPASS beiseite: Proof found.
% 0.18/0.54 % SZS status Theorem
% 0.18/0.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.54 SPASS derived 1304 clauses, backtracked 0 clauses, performed 0 splits and kept 965 clauses.
% 0.18/0.54 SPASS allocated 76904 KBytes.
% 0.18/0.54 SPASS spent 0:00:00.19 on the problem.
% 0.18/0.54 0:00:00.04 for the input.
% 0.18/0.54 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.54 0:00:00.01 for inferences.
% 0.18/0.54 0:00:00.00 for the backtracking.
% 0.18/0.54 0:00:00.09 for the reduction.
% 0.18/0.54
% 0.18/0.54
% 0.18/0.54 Here is a proof with depth 9, length 28 :
% 0.18/0.54 % SZS output start Refutation
% See solution above
% 0.18/0.54 Formulae used in the proof : prove_this axiom_12 axiom_14 axiom_15 axiom_19 axiom_35 rule_001 rule_082 rule_085 rule_136 rule_201 rule_287
% 0.18/0.54
%------------------------------------------------------------------------------