TSTP Solution File: SYN735-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN735-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 12:24:03 EDT 2022
% Result : Satisfiable 0.18s 0.49s
% Output : Saturation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 815)
% Comments :
%------------------------------------------------------------------------------
cnf(818,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssPv4(w)
| ~ ssRr(u,x)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(x)
| ssPv1(u)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[815]),
[iquote('0:Obv:815.6')] ).
cnf(762,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssPv1(w)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(skf1(u))
| ssPv4(skf1(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,480]),
[iquote('0:Res:1.0,480.3')] ).
cnf(179,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(u,w)
| ~ ssRr(u,x)
| ~ ssRr(u,v)
| ssPv2(w)
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[172,12]),
[iquote('0:MRR:172.6,12.1')] ).
cnf(693,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssPv1(w)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(skf1(u))
| ssPv2(u)
| ssPv1(u) ),
inference(mrr,[status(thm)],[670,12]),
[iquote('0:MRR:670.1,12.4')] ).
cnf(868,plain,
( ~ ssPv2(u)
| ~ ssPv4(u)
| ssPv2(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,862]),
[iquote('0:Res:1.0,862.2')] ).
cnf(862,plain,
( ~ ssPv2(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv2(skf1(u))
| ssPv4(v) ),
inference(con,[status(thm)],[861]),
[iquote('0:Con:861.2')] ).
cnf(409,plain,
( ~ ssPv2(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ~ ssRr(u,x)
| ssPv2(v)
| ssPv4(x) ),
inference(mrr,[status(thm)],[408,19]),
[iquote('0:MRR:408.6,19.1')] ).
cnf(668,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssPv4(u)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv3(w)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[666]),
[iquote('0:Obv:666.6')] ).
cnf(817,plain,
( ~ ssPv4(u)
| ~ ssPv1(skf1(v))
| ~ ssRr(v,u)
| ssPv3(skf1(v))
| ssPv2(v)
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[1,593]),
[iquote('0:Res:1.0,593.2')] ).
cnf(825,plain,
( ~ ssPv1(u)
| ~ ssPv4(u)
| ssPv2(skf1(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,813]),
[iquote('0:Res:1.0,813.2')] ).
cnf(593,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv3(skf1(w))
| ssPv2(w)
| ssPv1(w) ),
inference(mrr,[status(thm)],[574,156]),
[iquote('0:MRR:574.0,156.2')] ).
cnf(393,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(v)
| ssPv2(u) ),
inference(mrr,[status(thm)],[392,391]),
[iquote('0:MRR:392.0,391.4')] ).
cnf(641,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv2(v)
| ssPv1(v)
| ssPv3(w)
| ssPv1(skf1(v)) ),
inference(mrr,[status(thm)],[640,11]),
[iquote('0:MRR:640.4,11.0')] ).
cnf(769,plain,
( ~ ssPv4(skf1(u))
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv4(v)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,518]),
[iquote('0:Res:1.0,518.2')] ).
cnf(518,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv1(v)
| ssPv4(w)
| ssPv3(v) ),
inference(obv,[status(thm),theory(equality)],[504]),
[iquote('0:Obv:504.5')] ).
cnf(480,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssPv1(w)
| ~ ssRr(u,x)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(skf1(u))
| ssPv4(x)
| ssPv2(u) ),
inference(mrr,[status(thm)],[448,270]),
[iquote('0:MRR:448.9,270.0')] ).
cnf(708,plain,
( ~ ssPv4(u)
| ~ ssPv1(skf1(v))
| ~ ssRr(v,u)
| ssPv3(skf1(v))
| ssPv4(skf1(v))
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[1,193]),
[iquote('0:Res:1.0,193.2')] ).
cnf(729,plain,
( ssPv2(skf1(u))
| ssPv1(u)
| ssPv3(u)
| ssPv4(u) ),
inference(obv,[status(thm),theory(equality)],[719]),
[iquote('0:Obv:719.2')] ).
cnf(717,plain,
( ~ ssPv1(skf1(u))
| ssPv1(u)
| ssPv2(skf1(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,700]),
[iquote('0:Res:1.0,700.1')] ).
cnf(700,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv1(v)
| ssPv2(skf1(v))
| ssPv3(v) ),
inference(mrr,[status(thm)],[527,699]),
[iquote('0:MRR:527.5,699.0')] ).
cnf(193,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv3(skf1(w))
| ssPv4(skf1(w))
| ssPv1(w) ),
inference(mrr,[status(thm)],[189,81]),
[iquote('0:MRR:189.4,81.0')] ).
cnf(667,plain,
( ~ ssPv4(u)
| ~ ssPv2(skf1(u))
| ~ ssPv3(u)
| ssPv1(skf1(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,650]),
[iquote('0:Res:1.0,650.3')] ).
cnf(650,plain,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv1(skf1(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,561]),
[iquote('0:Res:1.0,561.3')] ).
cnf(647,plain,
( ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(u)
| ssPv3(skf1(u))
| ssPv4(v) ),
inference(obv,[status(thm),theory(equality)],[646]),
[iquote('0:Obv:646.1')] ).
cnf(561,plain,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssPv3(u)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(w)
| ssPv2(u) ),
inference(con,[status(thm)],[560]),
[iquote('0:Con:560.5')] ).
cnf(628,plain,
( ~ ssRr(u,v)
| ssPv1(skf1(u))
| ssPv4(skf1(u))
| ssPv3(v)
| ssPv1(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,471]),
[iquote('0:Res:1.0,471.0')] ).
cnf(471,plain,
( ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv1(skf1(u))
| ssPv4(v)
| ssPv3(w)
| ssPv1(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[452,67,7]),
[iquote('0:MRR:452.0,452.5,67.0,7.0')] ).
cnf(609,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssPv4(u)
| ssPv1(skf1(u))
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,531]),
[iquote('0:Res:1.0,531.3')] ).
cnf(494,plain,
( ~ ssPv1(skf1(u))
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv2(skf1(u))
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,207]),
[iquote('0:Res:1.0,207.2')] ).
cnf(572,plain,
( ~ ssPv3(u)
| ~ ssPv2(skf1(u))
| ssPv3(skf1(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,559]),
[iquote('0:Res:1.0,559.2')] ).
cnf(559,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ssPv3(skf1(u))
| ssPv2(u) ),
inference(con,[status(thm)],[558]),
[iquote('0:Con:558.2')] ).
cnf(551,plain,
( ~ ssPv4(u)
| ssPv2(skf1(u))
| ssPv4(skf1(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,547]),
[iquote('0:Res:1.0,547.1')] ).
cnf(547,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv2(skf1(u))
| ssPv4(v)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,490]),
[iquote('0:Res:1.0,490.1')] ).
cnf(490,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(v)
| ssPv4(w)
| ssPv3(u) ),
inference(con,[status(thm)],[489]),
[iquote('0:Con:489.3')] ).
cnf(525,plain,
( ssPv2(u)
| ssPv2(skf1(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[524,235,243]),
[iquote('0:MRR:524.0,524.4,235.1,243.0')] ).
cnf(257,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv1(v)
| ssPv3(skf1(u)) ),
inference(mrr,[status(thm)],[251,115]),
[iquote('0:MRR:251.6,115.2')] ).
cnf(512,plain,
( ~ ssPv4(u)
| ssPv1(skf1(u))
| ssPv3(u)
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,502]),
[iquote('0:Res:1.0,502.1')] ).
cnf(502,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv1(skf1(u))
| ssPv3(u)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,486]),
[iquote('0:Res:1.0,486.1')] ).
cnf(486,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv1(v)
| ssPv3(u)
| ssPv4(w) ),
inference(mrr,[status(thm)],[485,184]),
[iquote('0:MRR:485.3,184.0')] ).
cnf(484,plain,
( ~ ssPv4(u)
| ssPv4(skf1(u))
| ssPv3(skf1(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,467]),
[iquote('0:Res:1.0,467.1')] ).
cnf(207,plain,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssRr(w,u)
| ~ ssRr(w,v)
| ssPv1(w)
| ssPv2(skf1(w))
| ssPv3(skf1(w)) ),
inference(mrr,[status(thm)],[194,205]),
[iquote('0:MRR:194.7,205.1')] ).
cnf(467,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv4(v)
| ssPv3(skf1(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[466,165,184]),
[iquote('0:MRR:466.2,466.5,165.0,184.0')] ).
cnf(441,plain,
( ~ ssPv4(u)
| ~ ssPv2(skf1(u))
| ~ ssRr(u,v)
| ssPv1(skf1(u))
| ssPv4(v)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,380]),
[iquote('0:Res:1.0,380.2')] ).
cnf(380,plain,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv1(skf1(u))
| ssPv4(w)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,127]),
[iquote('0:Res:1.0,127.2')] ).
cnf(430,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(v)
| ssPv2(w)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,259]),
[iquote('0:Res:1.0,259.2')] ).
cnf(423,plain,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ssPv2(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,413]),
[iquote('0:Res:1.0,413.2')] ).
cnf(413,plain,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv2(skf1(u))
| ssPv4(w) ),
inference(res,[status(thm),theory(equality)],[1,410]),
[iquote('0:Res:1.0,410.2')] ).
cnf(410,plain,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(u,w)
| ~ ssRr(u,x)
| ~ ssRr(u,v)
| ssPv2(w)
| ssPv4(x) ),
inference(mrr,[status(thm)],[183,409]),
[iquote('0:MRR:183.7,409.0')] ).
cnf(338,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(v)
| ssPv4(w)
| ssPv1(skf1(u)) ),
inference(mrr,[status(thm)],[335,184,9]),
[iquote('0:MRR:335.2,335.7,184.4,9.1')] ).
cnf(391,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv3(v)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[390]),
[iquote('0:Obv:390.5')] ).
cnf(381,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv3(u)
| ssPv1(skf1(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,379]),
[iquote('0:Res:1.0,379.3')] ).
cnf(379,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv1(v)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[377]),
[iquote('0:Obv:377.4')] ).
cnf(127,plain,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ~ ssRr(u,x)
| ssPv1(w)
| ssPv4(x)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[125]),
[iquote('0:Obv:125.5')] ).
cnf(374,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ssPv2(u)
| ssPv3(skf1(u)) ),
inference(obv,[status(thm),theory(equality)],[373]),
[iquote('0:Obv:373.2')] ).
cnf(358,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssPv1(skf1(u))
| ~ ssRr(u,v)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,221]),
[iquote('0:Res:1.0,221.4')] ).
cnf(221,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssPv1(w)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[219]),
[iquote('0:Obv:219.6')] ).
cnf(344,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssPv1(skf1(u))
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,192]),
[iquote('0:Res:1.0,192.3')] ).
cnf(348,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv2(skf1(u))
| ssPv3(v)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,334]),
[iquote('0:Res:1.0,334.1')] ).
cnf(334,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(v)
| ssPv3(w)
| ssPv1(u) ),
inference(mrr,[status(thm)],[333,4]),
[iquote('0:MRR:333.1,4.2')] ).
cnf(342,plain,
( ~ ssPv2(u)
| ssPv2(skf1(u))
| ssPv1(u)
| ssPv3(skf1(u)) ),
inference(obv,[status(thm),theory(equality)],[341]),
[iquote('0:Obv:341.2')] ).
cnf(192,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssPv1(w)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(u) ),
inference(mrr,[status(thm)],[190,12]),
[iquote('0:MRR:190.1,12.5')] ).
cnf(329,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ssPv1(skf1(u))
| ssPv3(skf1(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,308]),
[iquote('0:Res:1.0,308.2')] ).
cnf(308,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv1(skf1(u))
| ssPv3(v)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,258]),
[iquote('0:Res:1.0,258.2')] ).
cnf(307,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ssPv1(skf1(u))
| ssPv2(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,166]),
[iquote('0:Res:1.0,166.2')] ).
cnf(258,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv1(v)
| ssPv3(w)
| ssPv1(u) ),
inference(con,[status(thm)],[249]),
[iquote('0:Con:249.4')] ).
cnf(166,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(w)
| ssPv2(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[164]),
[iquote('0:Obv:164.4')] ).
cnf(283,plain,
( ~ ssPv1(skf1(u))
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv2(v)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,113]),
[iquote('0:Res:1.0,113.2')] ).
cnf(278,plain,
( ~ ssPv1(u)
| ~ ssPv4(u)
| ssPv2(u)
| ssPv1(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,270]),
[iquote('0:Res:1.0,270.2')] ).
cnf(113,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv3(v)
| ssPv2(w)
| ssPv2(v) ),
inference(obv,[status(thm),theory(equality)],[108]),
[iquote('0:Obv:108.5')] ).
cnf(270,plain,
( ~ ssPv1(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv1(skf1(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,106]),
[iquote('0:Res:1.0,106.2')] ).
cnf(106,plain,
( ~ ssPv1(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(u)
| ssPv1(v)
| ssPv4(w) ),
inference(obv,[status(thm),theory(equality)],[105]),
[iquote('0:Obv:105.0')] ).
cnf(263,plain,
( ~ ssPv1(u)
| ~ ssPv1(skf1(u))
| ~ ssPv3(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv2(w) ),
inference(res,[status(thm),theory(equality)],[1,21]),
[iquote('0:Res:1.0,21.3')] ).
cnf(240,plain,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv2(w)
| ssPv3(skf1(w)) ),
inference(res,[status(thm),theory(equality)],[1,18]),
[iquote('0:Res:1.0,18.2')] ).
cnf(21,axiom,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssPv3(w)
| ~ ssRr(u,v)
| ~ ssRr(u,x)
| ~ ssRr(u,w)
| ssPv2(x) ),
file('SYN735-1.p',unknown),
[] ).
cnf(217,plain,
( ~ ssPv2(u)
| ~ ssPv1(skf1(u))
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(v)
| ssPv3(w) ),
inference(res,[status(thm),theory(equality)],[1,16]),
[iquote('0:Res:1.0,16.2')] ).
cnf(208,plain,
( ~ ssPv3(u)
| ~ ssPv4(skf1(u))
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv1(v)
| ssPv3(w) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.2')] ).
cnf(18,axiom,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(w,x)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv2(w)
| ssPv3(x) ),
file('SYN735-1.p',unknown),
[] ).
cnf(220,plain,
( ~ ssPv1(u)
| ~ ssPv3(skf1(v))
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(skf1(v)) ),
inference(res,[status(thm),theory(equality)],[1,185]),
[iquote('0:Res:1.0,185.2')] ).
cnf(185,plain,
( ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv3(w)
| ssPv2(skf1(w)) ),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.2')] ).
cnf(16,axiom,
( ~ ssPv2(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ~ ssRr(u,x)
| ssPv2(w)
| ssPv3(x) ),
file('SYN735-1.p',unknown),
[] ).
cnf(209,plain,
( ~ ssPv1(skf1(u))
| ~ ssPv4(u)
| ~ ssPv2(u)
| ssPv1(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,204]),
[iquote('0:Res:1.0,204.3')] ).
cnf(204,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssPv2(v)
| ~ ssRr(v,u)
| ssPv1(v)
| ssPv3(v) ),
inference(mrr,[status(thm)],[202,68]),
[iquote('0:MRR:202.5,68.2')] ).
cnf(15,axiom,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ~ ssRr(u,x)
| ssPv1(w)
| ssPv3(x) ),
file('SYN735-1.p',unknown),
[] ).
cnf(191,plain,
( ~ ssPv1(u)
| ~ ssPv4(skf1(v))
| ~ ssRr(v,u)
| ssPv1(v)
| ssPv2(skf1(v)) ),
inference(res,[status(thm),theory(equality)],[1,167]),
[iquote('0:Res:1.0,167.2')] ).
cnf(167,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv1(w)
| ssPv2(skf1(w)) ),
inference(res,[status(thm),theory(equality)],[1,20]),
[iquote('0:Res:1.0,20.2')] ).
cnf(186,plain,
( ~ ssPv2(u)
| ~ ssPv4(u)
| ssPv4(skf1(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,184]),
[iquote('0:Res:1.0,184.2')] ).
cnf(184,plain,
( ~ ssPv2(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv4(v)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,178]),
[iquote('0:Res:1.0,178.2')] ).
cnf(17,axiom,
( ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssRr(w,x)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv3(w)
| ssPv2(x) ),
file('SYN735-1.p',unknown),
[] ).
cnf(152,plain,
( ~ ssPv4(u)
| ~ ssPv3(skf1(u))
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(v)
| ssPv4(w) ),
inference(res,[status(thm),theory(equality)],[1,19]),
[iquote('0:Res:1.0,19.2')] ).
cnf(169,plain,
( ssPv2(u)
| ssPv3(skf1(u))
| ssPv1(u)
| ssPv3(u)
| ssPv4(u) ),
inference(obv,[status(thm),theory(equality)],[168]),
[iquote('0:Obv:168.0')] ).
cnf(165,plain,
( ~ ssPv1(skf1(u))
| ssPv3(u)
| ssPv2(u)
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,156]),
[iquote('0:Res:1.0,156.1')] ).
cnf(20,axiom,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(w,x)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv1(w)
| ssPv2(x) ),
file('SYN735-1.p',unknown),
[] ).
cnf(156,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(v)
| ssPv3(skf1(v)) ),
inference(obv,[status(thm),theory(equality)],[154]),
[iquote('0:Obv:154.3')] ).
cnf(144,plain,
( ~ ssPv1(u)
| ssPv3(skf1(u))
| ssPv4(skf1(u))
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[136]),
[iquote('0:Obv:136.3')] ).
cnf(143,plain,
( ssPv3(skf1(u))
| ssPv4(skf1(u))
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[142,141]),
[iquote('0:MRR:142.0,141.2')] ).
cnf(19,axiom,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ~ ssRr(u,x)
| ssPv2(w)
| ssPv4(x) ),
file('SYN735-1.p',unknown),
[] ).
cnf(141,plain,
( ssPv4(skf1(u))
| ssPv3(skf1(u))
| ssPv1(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[140,81]),
[iquote('0:MRR:140.0,81.0')] ).
cnf(130,plain,
( ~ ssPv2(skf1(u))
| ssPv2(u)
| ssPv3(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,126]),
[iquote('0:Res:1.0,126.1')] ).
cnf(126,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(skf1(v))
| ssPv4(skf1(v)) ),
inference(res,[status(thm),theory(equality)],[1,124]),
[iquote('0:Res:1.0,124.1')] ).
cnf(124,plain,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(skf1(v))
| ssPv4(w) ),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.1')] ).
cnf(14,axiom,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,x)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(w)
| ssPv4(x) ),
file('SYN735-1.p',unknown),
[] ).
cnf(115,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.3')] ).
cnf(114,plain,
( ~ ssPv3(u)
| ~ ssPv1(skf1(u))
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.2')] ).
cnf(13,axiom,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv3(w) ),
file('SYN735-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(u)
| ssPv3(w) ),
file('SYN735-1.p',unknown),
[] ).
cnf(107,plain,
( ~ ssPv1(u)
| ~ ssPv4(skf1(v))
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.2')] ).
cnf(12,axiom,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv3(w)
| ssPv2(w) ),
file('SYN735-1.p',unknown),
[] ).
cnf(103,plain,
( ~ ssPv4(u)
| ~ ssPv3(skf1(u))
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.2')] ).
cnf(10,axiom,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(u)
| ssPv1(w) ),
file('SYN735-1.p',unknown),
[] ).
cnf(100,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ssPv3(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,98]),
[iquote('0:Res:1.0,98.2')] ).
cnf(98,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv3(skf1(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.2')] ).
cnf(8,axiom,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(v)
| ssPv4(w) ),
file('SYN735-1.p',unknown),
[] ).
cnf(90,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ssPv2(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,88]),
[iquote('0:Res:1.0,88.2')] ).
cnf(88,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv2(skf1(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.2')] ).
cnf(9,axiom,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(v)
| ssPv4(w) ),
file('SYN735-1.p',unknown),
[] ).
cnf(81,plain,
( ~ ssPv2(u)
| ssPv1(u)
| ssPv3(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,79]),
[iquote('0:Res:1.0,79.1')] ).
cnf(79,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv3(v)
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.1')] ).
cnf(6,axiom,
( ~ ssPv4(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(v)
| ssPv2(w) ),
file('SYN735-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv1(u)
| ssPv3(w)
| ssPv4(v) ),
file('SYN735-1.p',unknown),
[] ).
cnf(72,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv3(v)
| ssPv1(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[70]),
[iquote('0:Obv:70.3')] ).
cnf(76,plain,
( ~ ssPv1(u)
| ssPv2(u)
| ssPv2(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,75]),
[iquote('0:Res:1.0,75.1')] ).
cnf(75,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv2(v)
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,5]),
[iquote('0:Res:1.0,5.1')] ).
cnf(5,axiom,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(u)
| ssPv2(w)
| ssPv4(v) ),
file('SYN735-1.p',unknown),
[] ).
cnf(74,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ssPv3(skf1(u))
| ssPv1(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[73]),
[iquote('0:Obv:73.2')] ).
cnf(71,plain,
( ssPv3(u)
| ssPv1(u)
| ssPv2(skf1(u))
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,69]),
[iquote('0:Res:1.0,69.0')] ).
cnf(69,plain,
( ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(u)
| ssPv2(skf1(u))
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[1,4]),
[iquote('0:Res:1.0,4.0')] ).
cnf(68,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv2(skf1(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,3]),
[iquote('0:Res:1.0,3.3')] ).
cnf(4,axiom,
( ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv1(u)
| ssPv2(v)
| ssPv3(w) ),
file('SYN735-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ssPv3(u) ),
file('SYN735-1.p',unknown),
[] ).
cnf(67,plain,
( ssPv4(u)
| ssPv3(u)
| ssPv1(u)
| ssPv1(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,2]),
[iquote('0:Res:1.0,2.0')] ).
cnf(2,axiom,
( ~ ssRr(u,v)
| ssPv4(u)
| ssPv3(u)
| ssPv1(u)
| ssPv1(v) ),
file('SYN735-1.p',unknown),
[] ).
cnf(1,axiom,
ssRr(u,skf1(u)),
file('SYN735-1.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN735-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n003.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 05:10:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49
% 0.18/0.49 SPASS V 3.9
% 0.18/0.49 SPASS beiseite: Completion found.
% 0.18/0.49 % SZS status CounterSatisfiable
% 0.18/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 SPASS derived 564 clauses, backtracked 0 clauses, performed 0 splits and kept 175 clauses.
% 0.18/0.49 SPASS allocated 76367 KBytes.
% 0.18/0.49 SPASS spent 0:00:00.15 on the problem.
% 0.18/0.49 0:00:00.04 for the input.
% 0.18/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.49 0:00:00.02 for inferences.
% 0.18/0.49 0:00:00.00 for the backtracking.
% 0.18/0.49 0:00:00.07 for the reduction.
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 The saturated set of worked-off clauses is :
% 0.18/0.49 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------