TSTP Solution File: SYN236-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN236-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 12:19:39 EDT 2022
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 17 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ l3(e,e),
file('SYN236-1.p',unknown),
[] ).
cnf(4,axiom,
n0(d,e),
file('SYN236-1.p',unknown),
[] ).
cnf(14,axiom,
r0(e),
file('SYN236-1.p',unknown),
[] ).
cnf(29,axiom,
k0(e),
file('SYN236-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN236-1.p',unknown),
[] ).
cnf(198,axiom,
( ~ k1(u)
| p2(u,u,u) ),
file('SYN236-1.p',unknown),
[] ).
cnf(254,axiom,
( ~ r0(u)
| ~ p2(u,v,u)
| l3(u,v) ),
file('SYN236-1.p',unknown),
[] ).
cnf(424,plain,
( ~ r0(e)
| ~ p2(e,e,e) ),
inference(res,[status(thm),theory(equality)],[254,1]),
[iquote('0:Res:254.2,1.0')] ).
cnf(426,plain,
~ p2(e,e,e),
inference(mrr,[status(thm)],[424,14]),
[iquote('0:MRR:424.0,14.0')] ).
cnf(467,plain,
k1(e),
inference(res,[status(thm),theory(equality)],[4,40]),
[iquote('0:Res:4.0,40.0')] ).
cnf(483,plain,
~ k1(e),
inference(res,[status(thm),theory(equality)],[198,426]),
[iquote('0:Res:198.1,426.0')] ).
cnf(484,plain,
$false,
inference(ssi,[status(thm)],[483,29,14,467]),
[iquote('0:SSi:483.0,29.0,14.0,467.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN236-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n004.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 01:55:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46
% 0.18/0.46 SPASS V 3.9
% 0.18/0.46 SPASS beiseite: Proof found.
% 0.18/0.46 % SZS status Theorem
% 0.18/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 SPASS derived 31 clauses, backtracked 0 clauses, performed 0 splits and kept 359 clauses.
% 0.18/0.46 SPASS allocated 76116 KBytes.
% 0.18/0.46 SPASS spent 0:00:00.11 on the problem.
% 0.18/0.46 0:00:00.04 for the input.
% 0.18/0.46 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.46 0:00:00.00 for inferences.
% 0.18/0.46 0:00:00.00 for the backtracking.
% 0.18/0.46 0:00:00.03 for the reduction.
% 0.18/0.46
% 0.18/0.46
% 0.18/0.46 Here is a proof with depth 2, length 12 :
% 0.18/0.46 % SZS output start Refutation
% See solution above
% 0.18/0.46 Formulae used in the proof : prove_this axiom_3 axiom_13 axiom_28 rule_001 rule_159 rule_215
% 0.18/0.46
%------------------------------------------------------------------------------