%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN155-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 12:19:05 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 28
% Syntax : Number of clauses : 63 ( 29 unt; 0 nHn; 63 RR)
% Number of literals : 115 ( 0 equ; 59 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ n4(u,a),
file('SYN155-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN155-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN155-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN155-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN155-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN155-1.p',unknown),
[] ).
cnf(21,axiom,
l0(a),
file('SYN155-1.p',unknown),
[] ).
cnf(38,axiom,
n0(b,a),
file('SYN155-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN155-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN155-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN155-1.p',unknown),
[] ).
cnf(131,axiom,
( ~ p0(u,v)
| ~ n0(w,x)
| q1(v,x,v) ),
file('SYN155-1.p',unknown),
[] ).
cnf(160,axiom,
( ~ m0(u,v,w)
| q1(w,w,w) ),
file('SYN155-1.p',unknown),
[] ).
cnf(163,axiom,
( ~ q0(u,v)
| ~ s0(d)
| ~ q1(d,v,d)
| r1(u) ),
file('SYN155-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN155-1.p',unknown),
[] ).
cnf(165,axiom,
( ~ s1(u)
| ~ q0(v,w)
| s1(v) ),
file('SYN155-1.p',unknown),
[] ).
cnf(172,axiom,
( ~ s1(u)
| ~ p0(v,v)
| ~ m0(w,u,x)
| l2(x,x) ),
file('SYN155-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN155-1.p',unknown),
[] ).
cnf(180,axiom,
( ~ q1(u,a,u)
| p2(u,a,u) ),
file('SYN155-1.p',unknown),
[] ).
cnf(194,axiom,
( ~ k1(u)
| ~ p2(e,v,w)
| p2(v,w,w) ),
file('SYN155-1.p',unknown),
[] ).
cnf(227,axiom,
( ~ l0(u)
| ~ r1(u)
| r2(u) ),
file('SYN155-1.p',unknown),
[] ).
cnf(275,axiom,
( ~ n2(u)
| m3(u,u,u) ),
file('SYN155-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN155-1.p',unknown),
[] ).
cnf(297,axiom,
( ~ s1(u)
| ~ r2(v)
| ~ l2(w,w)
| q3(v,v) ),
file('SYN155-1.p',unknown),
[] ).
cnf(306,axiom,
( ~ p2(u,v,w)
| r3(u,w,u) ),
file('SYN155-1.p',unknown),
[] ).
cnf(315,axiom,
( ~ q3(u,u)
| ~ r3(u,e,v)
| ~ q1(a,a,v)
| k4(e) ),
file('SYN155-1.p',unknown),
[] ).
cnf(323,axiom,
( ~ k4(u)
| ~ m3(v,v,v)
| n4(v,v) ),
file('SYN155-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN155-1.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(420,plain,
( ~ k4(u)
| ~ m3(a,a,a) ),
inference(res,[status(thm),theory(equality)],[323,1]),
[iquote('0:Res:323.2,1.0')] ).
cnf(455,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(457,plain,
k1(a),
inference(res,[status(thm),theory(equality)],[38,40]),
[iquote('0:Res:38.0,40.0')] ).
cnf(461,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(472,plain,
l1(a,a),
inference(res,[status(thm),theory(equality)],[38,41]),
[iquote('0:Res:38.0,41.0')] ).
cnf(542,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(546,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[542,176]),
[iquote('0:Res:542.0,176.0')] ).
cnf(548,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,546]),
[iquote('0:MRR:283.0,546.0')] ).
cnf(549,plain,
m3(u,u,u),
inference(mrr,[status(thm)],[275,546]),
[iquote('0:MRR:275.0,546.0')] ).
cnf(567,plain,
~ k4(u),
inference(mrr,[status(thm)],[420,549]),
[iquote('0:MRR:420.1,549.0')] ).
cnf(569,plain,
( ~ q3(u,u)
| ~ r3(u,e,v)
| ~ q1(a,a,v) ),
inference(mrr,[status(thm)],[315,567]),
[iquote('0:MRR:315.3,567.0')] ).
cnf(607,plain,
( ~ q0(u,v)
| s1(u) ),
inference(ems,[status(thm)],[165,455]),
[iquote('0:EmS:165.0,455.0')] ).
cnf(613,plain,
s1(u),
inference(res,[status(thm),theory(equality)],[18,607]),
[iquote('0:Res:18.0,607.0')] ).
cnf(617,plain,
( ~ r2(u)
| ~ l2(v,v)
| q3(u,u) ),
inference(mrr,[status(thm)],[297,613]),
[iquote('0:MRR:297.0,613.0')] ).
cnf(619,plain,
( ~ p0(u,u)
| ~ m0(v,w,x)
| l2(x,x) ),
inference(mrr,[status(thm)],[172,613]),
[iquote('0:MRR:172.0,613.0')] ).
cnf(655,plain,
q1(u,u,u),
inference(res,[status(thm),theory(equality)],[20,160]),
[iquote('0:Res:20.0,160.0')] ).
cnf(683,plain,
( ~ q0(u,d)
| r1(u) ),
inference(res,[status(thm),theory(equality)],[655,401]),
[iquote('0:Res:655.0,401.1')] ).
cnf(684,plain,
r1(u),
inference(mrr,[status(thm)],[683,18]),
[iquote('0:MRR:683.0,18.0')] ).
cnf(685,plain,
( ~ l0(u)
| r2(u) ),
inference(mrr,[status(thm)],[227,684]),
[iquote('0:MRR:227.1,684.0')] ).
cnf(737,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[548,338]),
[iquote('0:Res:548.0,338.1')] ).
cnf(741,plain,
s4(a),
inference(res,[status(thm),theory(equality)],[472,737]),
[iquote('0:Res:472.0,737.0')] ).
cnf(787,plain,
( ~ p2(e,u,v)
| p2(u,v,v) ),
inference(ems,[status(thm)],[194,461]),
[iquote('0:EmS:194.0,461.0')] ).
cnf(953,plain,
( ~ n0(u,v)
| q1(w,v,w) ),
inference(res,[status(thm),theory(equality)],[15,131]),
[iquote('0:Res:15.0,131.0')] ).
cnf(956,plain,
q1(u,a,u),
inference(res,[status(thm),theory(equality)],[38,953]),
[iquote('0:Res:38.0,953.0')] ).
cnf(964,plain,
p2(u,a,u),
inference(mrr,[status(thm)],[180,956]),
[iquote('0:MRR:180.0,956.0')] ).
cnf(969,plain,
p2(a,e,e),
inference(res,[status(thm),theory(equality)],[964,787]),
[iquote('0:Res:964.0,787.0')] ).
cnf(973,plain,
r3(a,e,a),
inference(res,[status(thm),theory(equality)],[969,306]),
[iquote('0:Res:969.0,306.0')] ).
cnf(993,plain,
( ~ p0(u,u)
| l2(v,v) ),
inference(res,[status(thm),theory(equality)],[20,619]),
[iquote('0:Res:20.0,619.1')] ).
cnf(1002,plain,
l2(u,u),
inference(res,[status(thm),theory(equality)],[15,993]),
[iquote('0:Res:15.0,993.0')] ).
cnf(1003,plain,
( ~ r2(u)
| q3(u,u) ),
inference(mrr,[status(thm)],[617,1002]),
[iquote('0:MRR:617.1,1002.0')] ).
cnf(1226,plain,
( ~ q3(a,a)
| ~ q1(a,a,a) ),
inference(res,[status(thm),theory(equality)],[973,569]),
[iquote('0:Res:973.0,569.1')] ).
cnf(1229,plain,
~ q3(a,a),
inference(mrr,[status(thm)],[1226,956]),
[iquote('0:MRR:1226.1,956.0')] ).
cnf(1232,plain,
~ r2(a),
inference(res,[status(thm),theory(equality)],[1003,1229]),
[iquote('0:Res:1003.1,1229.0')] ).
cnf(1233,plain,
$false,
inference(ssi,[status(thm)],[1232,685,21,457,741]),
[iquote('0:SSi:1232.0,685.0,21.0,457.0,741.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN155-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 01:32:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51
% 0.19/0.51 SPASS V 3.9
% 0.19/0.51 SPASS beiseite: Proof found.
% 0.19/0.51 % SZS status Theorem
% 0.19/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 SPASS derived 711 clauses, backtracked 0 clauses, performed 0 splits and kept 698 clauses.
% 0.19/0.51 SPASS allocated 76500 KBytes.
% 0.19/0.51 SPASS spent 0:00:00.16 on the problem.
% 0.19/0.51 0:00:00.04 for the input.
% 0.19/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.51 0:00:00.01 for inferences.
% 0.19/0.51 0:00:00.00 for the backtracking.
% 0.19/0.51 0:00:00.06 for the reduction.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 Here is a proof with depth 6, length 63 :
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 Formulae used in the proof : prove_this axiom_1 axiom_14 axiom_15 axiom_17 axiom_19 axiom_20 axiom_37 rule_001 rule_002 rule_085 rule_092 rule_121 rule_124 rule_125 rule_126 rule_133 rule_137 rule_141 rule_155 rule_188 rule_236 rule_244 rule_258 rule_267 rule_276 rule_284 rule_299
% 0.19/0.51
%------------------------------------------------------------------------------