%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN141-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 12:18:59 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 36
% Syntax : Number of clauses : 74 ( 37 unt; 0 nHn; 74 RR)
% Number of literals : 131 ( 0 equ; 61 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 25 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,
~ m5(c,u),
file('SYN141-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN141-1.p',unknown),
[] ).
cnf(4,axiom,
n0(d,e),
file('SYN141-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN141-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN141-1.p',unknown),
[] ).
cnf(12,axiom,
n0(e,b),
file('SYN141-1.p',unknown),
[] ).
cnf(14,axiom,
r0(e),
file('SYN141-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN141-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN141-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN141-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN141-1.p',unknown),
[] ).
cnf(29,axiom,
k0(e),
file('SYN141-1.p',unknown),
[] ).
cnf(32,axiom,
m0(b,b,e),
file('SYN141-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN141-1.p',unknown),
[] ).
cnf(35,axiom,
n0(c,d),
file('SYN141-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN141-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN141-1.p',unknown),
[] ).
cnf(75,axiom,
( ~ m0(b,u,v)
| n1(v,v,u) ),
file('SYN141-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN141-1.p',unknown),
[] ).
cnf(160,axiom,
( ~ m0(u,v,w)
| q1(w,w,w) ),
file('SYN141-1.p',unknown),
[] ).
cnf(163,axiom,
( ~ q0(u,v)
| ~ s0(d)
| ~ q1(d,v,d)
| r1(u) ),
file('SYN141-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN141-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN141-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN141-1.p',unknown),
[] ).
cnf(213,axiom,
( ~ n2(u)
| ~ k1(e)
| p2(u,u,u) ),
file('SYN141-1.p',unknown),
[] ).
cnf(220,axiom,
( ~ p1(u,u,u)
| q2(u,u,u) ),
file('SYN141-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN141-1.p',unknown),
[] ).
cnf(226,axiom,
( ~ k0(u)
| ~ r1(u)
| ~ q2(u,u,u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
file('SYN141-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN141-1.p',unknown),
[] ).
cnf(279,axiom,
( ~ p2(u,v,w)
| n3(w) ),
file('SYN141-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN141-1.p',unknown),
[] ).
cnf(294,axiom,
( ~ n0(u,v)
| ~ q2(u,v,w)
| q3(v,w) ),
file('SYN141-1.p',unknown),
[] ).
cnf(296,axiom,
( ~ s2(u)
| ~ q3(v,u)
| ~ n1(w,u,v)
| q3(u,v) ),
file('SYN141-1.p',unknown),
[] ).
cnf(313,axiom,
( ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e)
| k4(c) ),
file('SYN141-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN141-1.p',unknown),
[] ).
cnf(343,axiom,
( ~ k4(u)
| m5(u,u) ),
file('SYN141-1.p',unknown),
[] ).
cnf(394,plain,
( ~ q3(e,b)
| ~ n3(e)
| k4(c) ),
inference(mrr,[status(thm)],[313,35]),
[iquote('0:MRR:313.0,35.0')] ).
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(c),
inference(res,[status(thm),theory(equality)],[343,1]),
[iquote('0:Res:343.1,1.0')] ).
cnf(423,plain,
( ~ n3(e)
| ~ q3(e,b) ),
inference(mrr,[status(thm)],[394,420]),
[iquote('0:MRR:394.2,420.0')] ).
cnf(458,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(459,plain,
( ~ q2(b,u,b)
| s2(u) ),
inference(mrr,[status(thm)],[228,458]),
[iquote('0:MRR:228.0,458.0')] ).
cnf(463,plain,
k1(e),
inference(res,[status(thm),theory(equality)],[4,40]),
[iquote('0:Res:4.0,40.0')] ).
cnf(464,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(471,plain,
( ~ n2(u)
| p2(u,u,u) ),
inference(mrr,[status(thm)],[213,463]),
[iquote('0:MRR:213.1,463.0')] ).
cnf(472,plain,
m2(b),
inference(mrr,[status(thm)],[175,464]),
[iquote('0:MRR:175.0,464.0')] ).
cnf(478,plain,
l1(e,e),
inference(res,[status(thm),theory(equality)],[4,41]),
[iquote('0:Res:4.0,41.0')] ).
cnf(479,plain,
l1(b,b),
inference(res,[status(thm),theory(equality)],[16,41]),
[iquote('0:Res:16.0,41.0')] ).
cnf(495,plain,
( ~ n2(u)
| n3(u) ),
inference(res,[status(thm),theory(equality)],[471,279]),
[iquote('0:Res:471.1,279.0')] ).
cnf(505,plain,
q2(b,b,b),
inference(res,[status(thm),theory(equality)],[479,225]),
[iquote('0:Res:479.0,225.0')] ).
cnf(507,plain,
s2(b),
inference(res,[status(thm),theory(equality)],[505,459]),
[iquote('0:Res:505.0,459.0')] ).
cnf(545,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(546,plain,
q2(u,u,u),
inference(mrr,[status(thm)],[220,545]),
[iquote('0:MRR:220.0,545.0')] ).
cnf(548,plain,
( ~ k0(u)
| ~ r1(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[226,546]),
[iquote('0:MRR:226.2,546.0')] ).
cnf(549,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[545,176]),
[iquote('0:Res:545.0,176.0')] ).
cnf(551,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,549]),
[iquote('0:MRR:283.0,549.0')] ).
cnf(556,plain,
n3(u),
inference(mrr,[status(thm)],[495,549]),
[iquote('0:MRR:495.0,549.0')] ).
cnf(563,plain,
~ q3(e,b),
inference(mrr,[status(thm)],[423,556]),
[iquote('0:MRR:423.0,556.0')] ).
cnf(626,plain,
n1(e,e,b),
inference(res,[status(thm),theory(equality)],[32,75]),
[iquote('0:Res:32.0,75.0')] ).
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(688,plain,
( ~ k0(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[548,684]),
[iquote('0:MRR:548.1,684.0')] ).
cnf(739,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[551,338]),
[iquote('0:Res:551.0,338.1')] ).
cnf(745,plain,
s4(e),
inference(res,[status(thm),theory(equality)],[478,739]),
[iquote('0:Res:478.0,739.0')] ).
cnf(746,plain,
s4(b),
inference(res,[status(thm),theory(equality)],[479,739]),
[iquote('0:Res:479.0,739.0')] ).
cnf(1007,plain,
( ~ k0(u)
| q2(v,u,v) ),
inference(res,[status(thm),theory(equality)],[20,688]),
[iquote('0:Res:20.0,688.1')] ).
cnf(1046,plain,
( ~ k0(u)
| s2(u) ),
inference(res,[status(thm),theory(equality)],[1007,459]),
[iquote('0:Res:1007.1,459.0')] ).
cnf(1047,plain,
( ~ k0(u)
| ~ n0(v,u)
| q3(u,v) ),
inference(res,[status(thm),theory(equality)],[1007,294]),
[iquote('0:Res:1007.1,294.1')] ).
cnf(1106,plain,
( ~ k0(b)
| q3(b,e) ),
inference(res,[status(thm),theory(equality)],[12,1047]),
[iquote('0:Res:12.0,1047.1')] ).
cnf(1111,plain,
q3(b,e),
inference(ssi,[status(thm)],[1106,6,33,10,472,464,507,746]),
[iquote('0:SSi:1106.0,6.0,33.0,10.0,472.0,464.0,507.0,746.0')] ).
cnf(1419,plain,
( ~ s2(e)
| ~ q3(b,e)
| q3(e,b) ),
inference(res,[status(thm),theory(equality)],[626,296]),
[iquote('0:Res:626.0,296.2')] ).
cnf(1428,plain,
( ~ q3(b,e)
| q3(e,b) ),
inference(ssi,[status(thm)],[1419,1046,29,14,463,745]),
[iquote('0:SSi:1419.0,1046.0,29.0,14.0,463.0,745.1')] ).
cnf(1429,plain,
$false,
inference(mrr,[status(thm)],[1428,1111,563]),
[iquote('0:MRR:1428.0,1428.1,1111.0,563.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN141-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n006.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 03:16:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.52
% 0.20/0.52 SPASS V 3.9
% 0.20/0.52 SPASS beiseite: Proof found.
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 SPASS derived 896 clauses, backtracked 0 clauses, performed 0 splits and kept 774 clauses.
% 0.20/0.52 SPASS allocated 76631 KBytes.
% 0.20/0.52 SPASS spent 0:00:00.17 on the problem.
% 0.20/0.52 0:00:00.04 for the input.
% 0.20/0.52 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.52 0:00:00.01 for inferences.
% 0.20/0.52 0:00:00.00 for the backtracking.
% 0.20/0.52 0:00:00.07 for the reduction.
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 Here is a proof with depth 3, length 74 :
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 Formulae used in the proof : prove_this axiom_1 axiom_3 axiom_5 axiom_9 axiom_11 axiom_13 axiom_14 axiom_15 axiom_17 axiom_19 axiom_28 axiom_31 axiom_32 axiom_34 rule_001 rule_002 rule_036 rule_085 rule_121 rule_124 rule_125 rule_136 rule_137 rule_174 rule_181 rule_186 rule_187 rule_189 rule_240 rule_244 rule_255 rule_257 rule_274 rule_299 rule_304
% 0.20/0.52
%------------------------------------------------------------------------------