%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN156-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 43
% Syntax : Number of clauses : 93 ( 45 unt; 0 nHn; 93 RR)
% Number of literals : 166 ( 0 equ; 76 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 27 ( 26 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,
~ n4(a,e),
file('SYN156-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN156-1.p',unknown),
[] ).
cnf(4,axiom,
n0(d,e),
file('SYN156-1.p',unknown),
[] ).
cnf(6,axiom,
s0(b),
file('SYN156-1.p',unknown),
[] ).
cnf(10,axiom,
r0(b),
file('SYN156-1.p',unknown),
[] ).
cnf(12,axiom,
n0(e,b),
file('SYN156-1.p',unknown),
[] ).
cnf(14,axiom,
r0(e),
file('SYN156-1.p',unknown),
[] ).
cnf(15,axiom,
p0(b,u),
file('SYN156-1.p',unknown),
[] ).
cnf(16,axiom,
n0(a,b),
file('SYN156-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN156-1.p',unknown),
[] ).
cnf(20,axiom,
m0(u,d,v),
file('SYN156-1.p',unknown),
[] ).
cnf(29,axiom,
k0(e),
file('SYN156-1.p',unknown),
[] ).
cnf(32,axiom,
m0(b,b,e),
file('SYN156-1.p',unknown),
[] ).
cnf(33,axiom,
k0(b),
file('SYN156-1.p',unknown),
[] ).
cnf(35,axiom,
n0(c,d),
file('SYN156-1.p',unknown),
[] ).
cnf(38,axiom,
n0(b,a),
file('SYN156-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN156-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ n0(u,v)
| l1(v,v) ),
file('SYN156-1.p',unknown),
[] ).
cnf(75,axiom,
( ~ m0(b,u,v)
| n1(v,v,u) ),
file('SYN156-1.p',unknown),
[] ).
cnf(124,axiom,
( ~ p0(u,v)
| p1(v,v,v) ),
file('SYN156-1.p',unknown),
[] ).
cnf(131,axiom,
( ~ p0(u,v)
| ~ n0(w,x)
| q1(v,x,v) ),
file('SYN156-1.p',unknown),
[] ).
cnf(160,axiom,
( ~ m0(u,v,w)
| q1(w,w,w) ),
file('SYN156-1.p',unknown),
[] ).
cnf(163,axiom,
( ~ q0(u,v)
| ~ s0(d)
| ~ q1(d,v,d)
| r1(u) ),
file('SYN156-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ p0(u,u)
| s1(u) ),
file('SYN156-1.p',unknown),
[] ).
cnf(175,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN156-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN156-1.p',unknown),
[] ).
cnf(180,axiom,
( ~ q1(u,a,u)
| p2(u,a,u) ),
file('SYN156-1.p',unknown),
[] ).
cnf(194,axiom,
( ~ k1(u)
| ~ p2(e,v,w)
| p2(v,w,w) ),
file('SYN156-1.p',unknown),
[] ).
cnf(213,axiom,
( ~ n2(u)
| ~ k1(e)
| p2(u,u,u) ),
file('SYN156-1.p',unknown),
[] ).
cnf(220,axiom,
( ~ p1(u,u,u)
| q2(u,u,u) ),
file('SYN156-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ l1(u,v)
| q2(v,v,u) ),
file('SYN156-1.p',unknown),
[] ).
cnf(226,axiom,
( ~ k0(u)
| ~ r1(u)
| ~ q2(u,u,u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
file('SYN156-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ s1(b)
| ~ q2(b,u,b)
| s2(u) ),
file('SYN156-1.p',unknown),
[] ).
cnf(275,axiom,
( ~ n2(u)
| m3(u,u,u) ),
file('SYN156-1.p',unknown),
[] ).
cnf(279,axiom,
( ~ p2(u,v,w)
| n3(w) ),
file('SYN156-1.p',unknown),
[] ).
cnf(283,axiom,
( ~ n2(u)
| p3(u,u,u) ),
file('SYN156-1.p',unknown),
[] ).
cnf(290,axiom,
( ~ p2(u,v,w)
| ~ m3(v,x,w)
| p3(u,v,v) ),
file('SYN156-1.p',unknown),
[] ).
cnf(294,axiom,
( ~ n0(u,v)
| ~ q2(u,v,w)
| q3(v,w) ),
file('SYN156-1.p',unknown),
[] ).
cnf(296,axiom,
( ~ s2(u)
| ~ q3(v,u)
| ~ n1(w,u,v)
| q3(u,v) ),
file('SYN156-1.p',unknown),
[] ).
cnf(313,axiom,
( ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e)
| k4(c) ),
file('SYN156-1.p',unknown),
[] ).
cnf(320,axiom,
( ~ n4(u,u)
| ~ p3(u,v,v)
| n4(u,v) ),
file('SYN156-1.p',unknown),
[] ).
cnf(323,axiom,
( ~ k4(u)
| ~ m3(v,v,v)
| n4(v,v) ),
file('SYN156-1.p',unknown),
[] ).
cnf(338,axiom,
( ~ l1(u,v)
| ~ p3(w,v,x)
| s4(u) ),
file('SYN156-1.p',unknown),
[] ).
cnf(394,plain,
( ~ n3(e)
| ~ q3(e,b)
| 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(419,plain,
( ~ n4(a,a)
| ~ p3(a,e,e) ),
inference(res,[status(thm),theory(equality)],[320,1]),
[iquote('0:Res:320.2,1.0')] ).
cnf(454,plain,
s1(b),
inference(res,[status(thm),theory(equality)],[15,164]),
[iquote('0:Res:15.0,164.0')] ).
cnf(455,plain,
( ~ q2(b,u,b)
| s2(u) ),
inference(mrr,[status(thm)],[228,454]),
[iquote('0:MRR:228.0,454.0')] ).
cnf(459,plain,
k1(e),
inference(res,[status(thm),theory(equality)],[4,40]),
[iquote('0:Res:4.0,40.0')] ).
cnf(460,plain,
k1(b),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.0,40.0')] ).
cnf(467,plain,
( ~ n2(u)
| p2(u,u,u) ),
inference(mrr,[status(thm)],[213,459]),
[iquote('0:MRR:213.1,459.0')] ).
cnf(468,plain,
m2(b),
inference(mrr,[status(thm)],[175,460]),
[iquote('0:MRR:175.0,460.0')] ).
cnf(474,plain,
l1(e,e),
inference(res,[status(thm),theory(equality)],[4,41]),
[iquote('0:Res:4.0,41.0')] ).
cnf(475,plain,
l1(b,b),
inference(res,[status(thm),theory(equality)],[16,41]),
[iquote('0:Res:16.0,41.0')] ).
cnf(491,plain,
( ~ n2(u)
| n3(u) ),
inference(res,[status(thm),theory(equality)],[467,279]),
[iquote('0:Res:467.1,279.0')] ).
cnf(501,plain,
q2(b,b,b),
inference(res,[status(thm),theory(equality)],[475,225]),
[iquote('0:Res:475.0,225.0')] ).
cnf(503,plain,
s2(b),
inference(res,[status(thm),theory(equality)],[501,455]),
[iquote('0:Res:501.0,455.0')] ).
cnf(541,plain,
p1(u,u,u),
inference(res,[status(thm),theory(equality)],[15,124]),
[iquote('0:Res:15.0,124.0')] ).
cnf(542,plain,
q2(u,u,u),
inference(mrr,[status(thm)],[220,541]),
[iquote('0:MRR:220.0,541.0')] ).
cnf(544,plain,
( ~ k0(u)
| ~ r1(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[226,542]),
[iquote('0:MRR:226.2,542.0')] ).
cnf(545,plain,
n2(u),
inference(res,[status(thm),theory(equality)],[541,176]),
[iquote('0:Res:541.0,176.0')] ).
cnf(547,plain,
p3(u,u,u),
inference(mrr,[status(thm)],[283,545]),
[iquote('0:MRR:283.0,545.0')] ).
cnf(548,plain,
m3(u,u,u),
inference(mrr,[status(thm)],[275,545]),
[iquote('0:MRR:275.0,545.0')] ).
cnf(552,plain,
n3(u),
inference(mrr,[status(thm)],[491,545]),
[iquote('0:MRR:491.0,545.0')] ).
cnf(563,plain,
( ~ q3(e,b)
| k4(c) ),
inference(mrr,[status(thm)],[394,552]),
[iquote('0:MRR:394.0,552.0')] ).
cnf(566,plain,
( ~ k4(u)
| n4(v,v) ),
inference(mrr,[status(thm)],[323,548]),
[iquote('0:MRR:323.1,548.0')] ).
cnf(622,plain,
n1(e,e,b),
inference(res,[status(thm),theory(equality)],[32,75]),
[iquote('0:Res:32.0,75.0')] ).
cnf(651,plain,
q1(u,u,u),
inference(res,[status(thm),theory(equality)],[20,160]),
[iquote('0:Res:20.0,160.0')] ).
cnf(679,plain,
( ~ q0(u,d)
| r1(u) ),
inference(res,[status(thm),theory(equality)],[651,401]),
[iquote('0:Res:651.0,401.1')] ).
cnf(680,plain,
r1(u),
inference(mrr,[status(thm)],[679,18]),
[iquote('0:MRR:679.0,18.0')] ).
cnf(684,plain,
( ~ k0(u)
| ~ m0(v,w,x)
| q2(x,u,x) ),
inference(mrr,[status(thm)],[544,680]),
[iquote('0:MRR:544.1,680.0')] ).
cnf(733,plain,
( ~ l1(u,v)
| s4(u) ),
inference(res,[status(thm),theory(equality)],[547,338]),
[iquote('0:Res:547.0,338.1')] ).
cnf(737,plain,
s4(e),
inference(res,[status(thm),theory(equality)],[474,733]),
[iquote('0:Res:474.0,733.0')] ).
cnf(738,plain,
s4(b),
inference(res,[status(thm),theory(equality)],[475,733]),
[iquote('0:Res:475.0,733.0')] ).
cnf(783,plain,
( ~ p2(e,u,v)
| p2(u,v,v) ),
inference(ems,[status(thm)],[194,460]),
[iquote('0:EmS:194.0,460.0')] ).
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(954,plain,
q1(u,a,u),
inference(res,[status(thm),theory(equality)],[38,953]),
[iquote('0:Res:38.0,953.0')] ).
cnf(962,plain,
p2(u,a,u),
inference(mrr,[status(thm)],[180,954]),
[iquote('0:MRR:180.0,954.0')] ).
cnf(967,plain,
p2(a,e,e),
inference(res,[status(thm),theory(equality)],[962,783]),
[iquote('0:Res:962.0,783.0')] ).
cnf(1037,plain,
( ~ k0(u)
| q2(v,u,v) ),
inference(res,[status(thm),theory(equality)],[20,684]),
[iquote('0:Res:20.0,684.1')] ).
cnf(1038,plain,
( ~ k0(u)
| s2(u) ),
inference(res,[status(thm),theory(equality)],[1037,455]),
[iquote('0:Res:1037.1,455.0')] ).
cnf(1039,plain,
( ~ k0(u)
| ~ n0(v,u)
| q3(u,v) ),
inference(res,[status(thm),theory(equality)],[1037,294]),
[iquote('0:Res:1037.1,294.1')] ).
cnf(1092,plain,
( ~ k0(b)
| q3(b,e) ),
inference(res,[status(thm),theory(equality)],[12,1039]),
[iquote('0:Res:12.0,1039.1')] ).
cnf(1097,plain,
q3(b,e),
inference(ssi,[status(thm)],[1092,6,33,10,468,460,503,738]),
[iquote('0:SSi:1092.0,6.0,33.0,10.0,468.0,460.0,503.0,738.0')] ).
cnf(1283,plain,
( ~ m3(e,u,e)
| p3(a,e,e) ),
inference(res,[status(thm),theory(equality)],[967,290]),
[iquote('0:Res:967.0,290.0')] ).
cnf(1340,plain,
p3(a,e,e),
inference(res,[status(thm),theory(equality)],[548,1283]),
[iquote('0:Res:548.0,1283.0')] ).
cnf(1347,plain,
~ n4(a,a),
inference(mrr,[status(thm)],[419,1340]),
[iquote('0:MRR:419.1,1340.0')] ).
cnf(1401,plain,
( ~ s2(e)
| ~ q3(b,e)
| q3(e,b) ),
inference(res,[status(thm),theory(equality)],[622,296]),
[iquote('0:Res:622.0,296.2')] ).
cnf(1417,plain,
( ~ q3(b,e)
| q3(e,b) ),
inference(ssi,[status(thm)],[1401,1038,29,14,459,737]),
[iquote('0:SSi:1401.0,1038.0,29.0,14.0,459.0,737.1')] ).
cnf(1418,plain,
q3(e,b),
inference(mrr,[status(thm)],[1417,1097]),
[iquote('0:MRR:1417.0,1097.0')] ).
cnf(1419,plain,
k4(c),
inference(mrr,[status(thm)],[563,1418]),
[iquote('0:MRR:563.0,1418.0')] ).
cnf(1422,plain,
n4(u,u),
inference(ems,[status(thm)],[566,1419]),
[iquote('0:EmS:566.0,1419.0')] ).
cnf(1423,plain,
$false,
inference(unc,[status(thm)],[1422,1347]),
[iquote('0:UnC:1422.0,1347.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN156-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.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 : Mon Jul 11 19:43:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51
% 0.18/0.51 SPASS V 3.9
% 0.18/0.51 SPASS beiseite: Proof found.
% 0.18/0.51 % SZS status Theorem
% 0.18/0.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 SPASS derived 889 clauses, backtracked 0 clauses, performed 0 splits and kept 773 clauses.
% 0.18/0.51 SPASS allocated 76628 KBytes.
% 0.18/0.51 SPASS spent 0:00:00.17 on the problem.
% 0.18/0.51 0:00:00.04 for the input.
% 0.18/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.51 0:00:00.01 for inferences.
% 0.18/0.51 0:00:00.00 for the backtracking.
% 0.18/0.51 0:00:00.07 for the reduction.
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 Here is a proof with depth 5, length 93 :
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 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 axiom_37 rule_001 rule_002 rule_036 rule_085 rule_092 rule_121 rule_124 rule_125 rule_136 rule_137 rule_141 rule_155 rule_174 rule_181 rule_186 rule_187 rule_189 rule_236 rule_240 rule_244 rule_251 rule_255 rule_257 rule_274 rule_281 rule_284 rule_299
% 0.18/0.51
%------------------------------------------------------------------------------