TSTP Solution File: SYN262-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN262-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 18 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 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(b,c,b),
file('SYN262-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN262-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN262-1.p',unknown),
[] ).
cnf(21,axiom,
l0(a),
file('SYN262-1.p',unknown),
[] ).
cnf(108,axiom,
( ~ p0(u,v)
| p1(v,v,u) ),
file('SYN262-1.p',unknown),
[] ).
cnf(110,axiom,
( ~ l0(u)
| ~ p1(v,w,x)
| ~ s0(b)
| p1(x,v,x) ),
file('SYN262-1.p',unknown),
[] ).
cnf(407,plain,
( ~ l0(u)
| ~ p1(v,w,x)
| p1(x,v,x) ),
inference(mrr,[status(thm)],[110,6]),
[iquote('0:MRR:110.2,6.0')] ).
cnf(420,plain,
( ~ l0(u)
| ~ p1(c,v,b) ),
inference(res,[status(thm),theory(equality)],[407,1]),
[iquote('0:Res:407.2,1.0')] ).
cnf(493,plain,
~ p1(c,u,b),
inference(ems,[status(thm)],[420,21]),
[iquote('0:EmS:420.0,21.0')] ).
cnf(511,plain,
p1(u,u,b),
inference(res,[status(thm),theory(equality)],[15,108]),
[iquote('0:Res:15.0,108.0')] ).
cnf(512,plain,
$false,
inference(unc,[status(thm)],[511,493]),
[iquote('0:UnC:511.0,493.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN262-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n008.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 20:46:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.48
% 0.21/0.48 SPASS V 3.9
% 0.21/0.48 SPASS beiseite: Proof found.
% 0.21/0.48 % SZS status Theorem
% 0.21/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 SPASS derived 58 clauses, backtracked 0 clauses, performed 0 splits and kept 382 clauses.
% 0.21/0.48 SPASS allocated 76136 KBytes.
% 0.21/0.48 SPASS spent 0:00:00.12 on the problem.
% 0.21/0.48 0:00:00.04 for the input.
% 0.21/0.48 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.48 0:00:00.00 for inferences.
% 0.21/0.48 0:00:00.00 for the backtracking.
% 0.21/0.48 0:00:00.03 for the reduction.
% 0.21/0.48
% 0.21/0.48
% 0.21/0.48 Here is a proof with depth 2, length 11 :
% 0.21/0.48 % SZS output start Refutation
% See solution above
% 0.21/0.48 Formulae used in the proof : prove_this axiom_5 axiom_14 axiom_20 rule_069 rule_071
% 0.21/0.48
%------------------------------------------------------------------------------