TSTP Solution File: SYN772-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN772-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 12:24:16 EDT 2022
% Result : Satisfiable 0.20s 0.60s
% Output : Saturation 0.54s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 640)
% Comments :
%------------------------------------------------------------------------------
cnf(663,plain,
( ~ ssPv5(skf2(u))
| ~ ssPv8(skf2(u))
| ~ ssPv8(u)
| ~ ssPv3(u)
| ~ ssPv1(skf3(skf2(u)))
| ~ ssPv3(v)
| ~ ssRr(skf3(skf2(u)),v)
| ~ ssRr(w,skf3(skf2(u)))
| ssPv3(skf2(u))
| ssPv2(skf3(skf2(u)))
| ssPv6(skf2(u))
| ssPv5(u)
| ssPv2(skf2(u))
| ssPv4(skf3(skf2(u)))
| ssPv5(skf3(skf3(skf2(u))))
| ssPv7(skf3(skf2(u)))
| ssPv7(w)
| ssPv3(skf3(skf2(u))) ),
inference(obv,[status(thm),theory(equality)],[640]),
[iquote('0:Obv:640.10')] ).
cnf(1192,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv8(skf3(u))
| ~ ssPv4(u)
| ~ ssPv8(u)
| ~ ssPv7(u)
| ~ ssRr(v,skf3(skf3(u)))
| ssPv6(skf3(skf3(u)))
| ssPv3(v)
| ssPv3(skf3(skf3(u)))
| ssPv6(skf3(u))
| ssPv1(skf3(skf3(u)))
| ssPv3(skf3(u))
| ssPv3(u)
| ssPv6(u)
| ssPv1(skf3(u)) ),
inference(mrr,[status(thm)],[1191,356]),
[iquote('0:MRR:1191.2,356.2')] ).
cnf(1190,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv8(skf3(u))
| ~ ssPv4(u)
| ~ ssPv8(u)
| ~ ssPv5(u)
| ~ ssRr(v,skf3(skf3(u)))
| ssPv6(skf3(skf3(u)))
| ssPv3(v)
| ssPv3(skf3(skf3(u)))
| ssPv6(skf3(u))
| ssPv1(skf3(skf3(u)))
| ssPv3(skf3(u))
| ssPv3(u)
| ssPv6(u)
| ssPv1(skf3(u)) ),
inference(mrr,[status(thm)],[1189,356]),
[iquote('0:MRR:1189.2,356.2')] ).
cnf(1168,plain,
( ~ ssPv6(u)
| ~ ssPv8(skf3(v))
| ~ ssPv4(skf3(v))
| ~ ssPv4(v)
| ~ ssPv8(v)
| ~ ssPv7(v)
| ~ ssRr(skf3(skf3(v)),u)
| ssPv2(skf3(skf3(v)))
| ssPv6(skf3(v))
| ssPv3(skf3(skf3(v)))
| ssPv3(skf3(v))
| ssPv3(v)
| ssPv6(v)
| ssPv1(skf3(v)) ),
inference(mrr,[status(thm)],[1167,153]),
[iquote('0:MRR:1167.0,153.4')] ).
cnf(690,plain,
( ~ ssPv5(skf2(u))
| ~ ssPv8(skf2(u))
| ~ ssPv8(u)
| ~ ssPv3(u)
| ~ ssPv1(skf3(skf2(u)))
| ~ ssPv3(v)
| ~ ssRr(skf3(skf2(u)),v)
| ssPv3(skf2(u))
| ssPv2(skf3(skf2(u)))
| ssPv6(skf2(u))
| ssPv5(u)
| ssPv2(skf2(u))
| ssPv4(skf3(skf2(u)))
| ssPv5(skf3(skf3(skf2(u))))
| ssPv7(skf3(skf2(u)))
| ssPv7(skf3(skf3(skf2(u))))
| ssPv3(skf3(skf2(u))) ),
inference(obv,[status(thm),theory(equality)],[667]),
[iquote('0:Obv:667.9')] ).
cnf(1166,plain,
( ~ ssPv6(u)
| ~ ssPv8(skf3(v))
| ~ ssPv4(skf3(v))
| ~ ssPv4(v)
| ~ ssPv8(v)
| ~ ssPv5(v)
| ~ ssRr(skf3(skf3(v)),u)
| ssPv2(skf3(skf3(v)))
| ssPv6(skf3(v))
| ssPv3(skf3(skf3(v)))
| ssPv3(skf3(v))
| ssPv3(v)
| ssPv6(v)
| ssPv1(skf3(v)) ),
inference(mrr,[status(thm)],[1165,153]),
[iquote('0:MRR:1165.0,153.4')] ).
cnf(1150,plain,
( ~ ssPv3(u)
| ~ ssPv5(skf2(u))
| ~ ssPv7(skf2(u))
| ~ ssRr(v,skf2(skf3(skf2(u))))
| ssPv6(skf2(skf3(skf2(u))))
| ssPv3(v)
| ssPv6(skf2(u))
| ssPv5(u)
| ssPv2(skf2(u))
| ssPv4(skf3(skf2(u)))
| ssPv8(skf2(u))
| ssPv4(skf2(u))
| ssPv8(skf2(skf2(u))) ),
inference(mrr,[status(thm)],[1147,119]),
[iquote('0:MRR:1147.0,119.3')] ).
cnf(1306,plain,
( ~ ssPv8(u)
| ~ ssPv3(u)
| ssPv6(skf2(skf3(skf2(u))))
| ssPv6(skf2(u))
| ssPv5(u)
| ssPv2(skf2(u))
| ssPv4(skf3(skf2(u)))
| ssPv3(skf2(u))
| ssPv3(skf3(skf2(u)))
| ssPv5(skf3(skf2(u))) ),
inference(obv,[status(thm),theory(equality)],[1305]),
[iquote('0:Obv:1305.3')] ).
cnf(236,plain,
( ~ ssPv8(skf3(skf2(u)))
| ~ ssPv8(u)
| ~ ssPv3(u)
| ~ ssRr(v,skf2(skf3(skf2(u))))
| ssPv6(skf2(skf3(skf2(u))))
| ssPv3(v)
| ssPv6(skf2(u))
| ssPv2(skf2(u))
| ssPv4(u)
| ssPv4(skf3(skf2(u))) ),
inference(sor,[status(thm)],[98,207]),
[iquote('0:SoR:98.0,207.3')] ).
cnf(1295,plain,
( ~ ssPv4(u)
| ~ ssPv5(skf2(skf3(u)))
| ~ ssPv1(u)
| ssPv7(u)
| ssPv6(skf2(u))
| ssPv3(u)
| ssPv5(u)
| ssPv8(u)
| ssPv5(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,1293]),
[iquote('0:Res:2.0,1293.3')] ).
cnf(1293,plain,
( ~ ssPv4(u)
| ~ ssPv5(v)
| ~ ssPv1(u)
| ~ ssRr(skf3(u),v)
| ssPv7(u)
| ssPv6(skf2(u))
| ssPv3(u)
| ssPv5(u)
| ssPv8(u)
| ssPv5(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[1291]),
[iquote('0:Obv:1291.4')] ).
cnf(932,plain,
( ~ ssPv7(skf2(u))
| ~ ssPv5(skf2(u))
| ~ ssPv2(skf2(u))
| ~ ssPv6(skf2(u))
| ~ ssRr(skf2(u),v)
| ssPv1(skf2(u))
| ssPv8(u)
| ssPv8(skf2(skf2(u)))
| ssPv5(v)
| ssPv8(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,565]),
[iquote('0:Res:2.0,565.4')] ).
cnf(774,plain,
( ~ ssPv8(skf3(skf2(u)))
| ~ ssPv8(u)
| ~ ssPv6(v)
| ~ ssPv5(u)
| ~ ssPv7(u)
| ~ ssRr(w,skf2(skf3(skf2(u))))
| ~ ssRr(u,v)
| ssPv6(skf2(skf3(skf2(u))))
| ssPv3(w)
| ssPv6(skf2(u))
| ssPv2(skf2(u))
| ssPv4(skf3(skf2(u))) ),
inference(sor,[status(thm)],[98,228]),
[iquote('0:SoR:98.0,228.7')] ).
cnf(711,plain,
( ~ ssPv8(skf3(u))
| ~ ssPv4(u)
| ~ ssPv8(u)
| ~ ssPv5(u)
| ~ ssRr(v,skf3(u))
| ssPv6(skf3(u))
| ssPv3(v)
| ssPv3(skf3(u))
| ssPv3(u)
| ssPv6(u)
| ssPv1(skf3(u)) ),
inference(sor,[status(thm)],[97,707]),
[iquote('0:SoR:97.1,707.4')] ).
cnf(634,plain,
( ~ ssPv8(skf3(u))
| ~ ssPv4(u)
| ~ ssPv8(u)
| ~ ssPv7(u)
| ~ ssRr(v,skf3(u))
| ssPv6(skf3(u))
| ssPv3(v)
| ssPv3(skf3(u))
| ssPv3(u)
| ssPv6(u)
| ssPv1(skf3(u)) ),
inference(sor,[status(thm)],[97,630]),
[iquote('0:SoR:97.1,630.4')] ).
cnf(345,plain,
( ~ ssPv8(skf3(u))
| ~ ssPv8(u)
| ~ ssPv5(u)
| ~ ssRr(v,skf2(skf3(u)))
| ssPv6(skf2(skf3(u)))
| ssPv3(v)
| ssPv6(u)
| ssPv3(u)
| ssPv7(u)
| ssPv2(u)
| ssPv4(skf3(u)) ),
inference(sor,[status(thm)],[98,331]),
[iquote('0:SoR:98.0,331.4')] ).
cnf(469,plain,
( ~ ssPv5(u)
| ~ ssPv6(v)
| ~ ssPv7(skf3(u))
| ~ ssPv5(skf3(u))
| ~ ssPv8(skf3(u))
| ~ ssRr(skf3(u),v)
| ssPv3(u)
| ssPv6(u)
| ssPv2(skf3(u))
| ssPv3(skf3(u)) ),
inference(mrr,[status(thm)],[468,112]),
[iquote('0:MRR:468.1,112.4')] ).
cnf(237,plain,
( ~ ssPv8(skf3(skf2(u)))
| ~ ssPv8(u)
| ~ ssPv3(u)
| ~ ssRr(v,skf2(skf3(skf2(u))))
| ssPv6(skf2(skf3(skf2(u))))
| ssPv3(v)
| ssPv6(skf2(u))
| ssPv5(u)
| ssPv2(skf2(u))
| ssPv4(skf3(skf2(u))) ),
inference(sor,[status(thm)],[98,208]),
[iquote('0:SoR:98.0,208.4')] ).
cnf(1142,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv3(u)
| ~ ssPv1(skf3(u))
| ssPv5(skf3(skf3(u)))
| ssPv6(skf2(skf3(u)))
| ssPv7(skf3(u))
| ssPv8(skf3(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,1104]),
[iquote('0:Res:1.0,1104.3')] ).
cnf(1143,plain,
( ~ ssPv4(u)
| ~ ssPv3(skf2(u))
| ~ ssPv1(u)
| ssPv5(skf3(u))
| ssPv6(skf2(u))
| ssPv7(u)
| ssPv8(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,1104]),
[iquote('0:Res:2.0,1104.3')] ).
cnf(1104,plain,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv5(skf3(u))
| ssPv6(skf2(u))
| ssPv7(u)
| ssPv8(skf3(u)) ),
inference(con,[status(thm)],[1103]),
[iquote('0:Con:1103.3')] ).
cnf(1048,plain,
( ~ ssPv4(u)
| ~ ssPv5(skf2(skf3(u)))
| ~ ssPv3(v)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv7(u)
| ssPv6(skf2(u))
| ssPv5(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,1046]),
[iquote('0:Res:2.0,1046.4')] ).
cnf(808,plain,
( ~ ssPv7(skf3(u))
| ~ ssPv5(skf3(u))
| ~ ssPv6(u)
| ~ ssPv8(skf3(u))
| ssPv4(skf3(skf2(skf3(u))))
| ssPv2(skf2(skf3(u)))
| ssPv8(skf2(skf3(skf2(skf3(u)))))
| ssPv6(skf2(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,228]),
[iquote('0:Res:1.0,228.4')] ).
cnf(1086,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv5(skf3(u))
| ~ ssPv3(u)
| ~ ssPv1(skf3(u))
| ssPv7(skf3(u))
| ssPv6(skf2(skf3(u)))
| ssPv5(skf3(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,1047]),
[iquote('0:Res:1.0,1047.4')] ).
cnf(1087,plain,
( ~ ssPv4(u)
| ~ ssPv5(u)
| ~ ssPv3(skf2(u))
| ~ ssPv1(u)
| ssPv7(u)
| ssPv6(skf2(u))
| ssPv5(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,1047]),
[iquote('0:Res:2.0,1047.4')] ).
cnf(1047,plain,
( ~ ssPv4(u)
| ~ ssPv5(u)
| ~ ssPv3(v)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv7(u)
| ssPv6(skf2(u))
| ssPv5(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,1046]),
[iquote('0:Res:1.0,1046.4')] ).
cnf(1046,plain,
( ~ ssPv4(u)
| ~ ssPv5(v)
| ~ ssPv3(w)
| ~ ssPv1(u)
| ~ ssRr(skf3(u),v)
| ~ ssRr(u,w)
| ssPv7(u)
| ssPv6(skf2(u))
| ssPv5(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[1044]),
[iquote('0:Obv:1044.6')] ).
cnf(706,plain,
( ~ ssPv7(u)
| ~ ssPv5(u)
| ~ ssPv2(u)
| ~ ssPv6(u)
| ssPv8(skf3(skf2(u)))
| ssPv5(skf3(skf2(u)))
| ssPv2(skf2(u))
| ssPv8(skf2(u))
| ssPv7(skf2(u))
| ssPv3(skf2(u)) ),
inference(sor,[status(thm)],[70,696]),
[iquote('0:SoR:70.0,696.5')] ).
cnf(949,plain,
( ~ ssPv7(skf3(u))
| ~ ssPv5(skf3(u))
| ~ ssPv2(skf3(u))
| ~ ssPv6(skf3(u))
| ssPv1(skf3(u))
| ssPv8(skf3(skf3(u)))
| ssPv8(skf2(skf3(u)))
| ssPv5(u)
| ssPv8(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,931]),
[iquote('0:Res:1.0,931.4')] ).
cnf(871,plain,
( ~ ssPv7(skf2(u))
| ~ ssPv5(skf2(u))
| ~ ssPv2(skf2(u))
| ~ ssPv6(skf2(u))
| ssPv1(skf2(u))
| ssPv8(u)
| ssPv8(skf2(skf2(u)))
| ssPv5(skf2(skf2(u)))
| ssPv8(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,628]),
[iquote('0:Res:2.0,628.4')] ).
cnf(931,plain,
( ~ ssPv7(u)
| ~ ssPv5(u)
| ~ ssPv2(u)
| ~ ssPv6(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv8(skf3(u))
| ssPv8(skf2(u))
| ssPv5(v)
| ssPv8(u) ),
inference(res,[status(thm),theory(equality)],[1,565]),
[iquote('0:Res:1.0,565.4')] ).
cnf(225,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv5(v)
| ~ ssPv7(u)
| ~ ssPv5(u)
| ~ ssPv6(w)
| ~ ssPv8(u)
| ~ ssRr(v,skf2(u))
| ~ ssRr(u,w)
| ssPv5(skf2(u))
| ssPv6(skf2(u)) ),
inference(sor,[status(thm)],[109,197]),
[iquote('0:SoR:109.1,197.6')] ).
cnf(565,plain,
( ~ ssPv7(u)
| ~ ssPv5(u)
| ~ ssPv2(u)
| ~ ssPv6(u)
| ~ ssRr(v,u)
| ~ ssRr(u,w)
| ssPv1(u)
| ssPv8(v)
| ssPv8(skf2(u))
| ssPv5(w)
| ssPv8(u) ),
inference(obv,[status(thm),theory(equality)],[501]),
[iquote('0:Obv:501.0')] ).
cnf(563,plain,
( ~ ssPv6(skf3(u))
| ~ ssPv2(skf3(u))
| ~ ssPv5(skf3(u))
| ~ ssPv7(skf3(u))
| ssPv8(skf3(u))
| ssPv5(u)
| ssPv7(skf2(skf3(u)))
| ssPv8(skf2(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,126]),
[iquote('0:Res:1.0,126.4')] ).
cnf(870,plain,
( ~ ssPv7(u)
| ~ ssPv5(u)
| ~ ssPv2(u)
| ~ ssPv6(u)
| ssPv1(u)
| ssPv8(skf3(u))
| ssPv8(skf2(u))
| ssPv5(skf2(u))
| ssPv8(u) ),
inference(res,[status(thm),theory(equality)],[1,628]),
[iquote('0:Res:1.0,628.4')] ).
cnf(628,plain,
( ~ ssPv7(u)
| ~ ssPv5(u)
| ~ ssPv2(u)
| ~ ssPv6(u)
| ~ ssRr(v,u)
| ssPv1(u)
| ssPv8(v)
| ssPv8(skf2(u))
| ssPv5(skf2(u))
| ssPv8(u) ),
inference(obv,[status(thm),theory(equality)],[566]),
[iquote('0:Obv:566.0')] ).
cnf(226,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv7(u)
| ~ ssPv5(u)
| ~ ssPv6(v)
| ~ ssPv8(u)
| ~ ssRr(w,skf2(u))
| ~ ssRr(u,v)
| ssPv2(skf2(u))
| ssPv5(w)
| ssPv6(skf2(u)) ),
inference(sor,[status(thm)],[94,197]),
[iquote('0:SoR:94.1,197.6')] ).
cnf(661,plain,
( ~ ssPv3(u)
| ~ ssPv1(skf2(v))
| ~ ssRr(skf2(v),u)
| ssPv3(skf2(v))
| ssPv7(v)
| ssPv7(skf2(v))
| ssPv6(skf2(skf2(v)))
| ssPv5(skf3(skf2(v))) ),
inference(res,[status(thm),theory(equality)],[2,183]),
[iquote('0:Res:2.0,183.2')] ).
cnf(824,plain,
( ~ ssPv3(u)
| ~ ssPv1(skf3(u))
| ssPv8(skf3(skf3(u)))
| ssPv5(skf2(skf3(skf3(u))))
| ssPv7(skf3(u))
| ssPv6(skf2(skf3(u)))
| ssPv5(skf3(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,719]),
[iquote('0:Res:1.0,719.2')] ).
cnf(825,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv1(u)
| ssPv8(skf3(u))
| ssPv5(skf2(skf3(u)))
| ssPv7(u)
| ssPv6(skf2(u))
| ssPv5(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,719]),
[iquote('0:Res:2.0,719.2')] ).
cnf(719,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssRr(v,u)
| ssPv8(skf3(v))
| ssPv5(skf2(skf3(v)))
| ssPv7(v)
| ssPv6(skf2(v))
| ssPv5(skf3(v)) ),
inference(res,[status(thm),theory(equality)],[2,184]),
[iquote('0:Res:2.0,184.2')] ).
cnf(228,plain,
( ~ ssPv7(u)
| ~ ssPv5(u)
| ~ ssPv6(v)
| ~ ssPv8(u)
| ~ ssRr(u,v)
| ssPv4(skf3(skf2(u)))
| ssPv2(skf2(u))
| ssPv8(skf2(skf3(skf2(u))))
| ssPv6(skf2(u)) ),
inference(sor,[status(thm)],[87,197]),
[iquote('0:SoR:87.0,197.6')] ).
cnf(767,plain,
( ~ ssPv3(u)
| ~ ssPv1(skf3(u))
| ssPv8(skf3(skf3(u)))
| ssPv5(skf3(u))
| ssPv7(skf3(u))
| ssPv6(skf2(skf3(u)))
| ssPv5(skf3(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,718]),
[iquote('0:Res:1.0,718.2')] ).
cnf(768,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv1(u)
| ssPv8(skf3(u))
| ssPv5(u)
| ssPv7(u)
| ssPv6(skf2(u))
| ssPv5(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,718]),
[iquote('0:Res:2.0,718.2')] ).
cnf(718,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssRr(v,u)
| ssPv8(skf3(v))
| ssPv5(v)
| ssPv7(v)
| ssPv6(skf2(v))
| ssPv5(skf3(v)) ),
inference(res,[status(thm),theory(equality)],[1,184]),
[iquote('0:Res:1.0,184.2')] ).
cnf(717,plain,
( ~ ssPv1(u)
| ssPv8(skf3(u))
| ssPv7(u)
| ssPv6(skf2(u))
| ssPv3(u)
| ssPv5(u)
| ssPv8(u)
| ssPv5(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[715]),
[iquote('0:Obv:715.2')] ).
cnf(184,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssRr(skf3(v),w)
| ~ ssRr(v,u)
| ssPv8(skf3(v))
| ssPv5(w)
| ssPv7(v)
| ssPv6(skf2(v))
| ssPv5(skf3(v)) ),
inference(obv,[status(thm),theory(equality)],[179]),
[iquote('0:Obv:179.0')] ).
cnf(707,plain,
( ~ ssPv5(u)
| ~ ssPv8(u)
| ~ ssPv4(u)
| ssPv1(skf3(u))
| ssPv8(skf3(skf3(u)))
| ssPv6(u)
| ssPv3(u)
| ssPv3(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,695]),
[iquote('0:Res:1.0,695.3')] ).
cnf(695,plain,
( ~ ssPv5(u)
| ~ ssPv8(u)
| ~ ssPv4(u)
| ~ ssRr(v,skf3(u))
| ssPv1(skf3(u))
| ssPv8(v)
| ssPv6(u)
| ssPv3(u)
| ssPv3(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[694]),
[iquote('0:Obv:694.9')] ).
cnf(696,plain,
( ~ ssPv6(u)
| ~ ssPv2(u)
| ~ ssPv5(u)
| ~ ssPv7(u)
| ssPv3(skf2(u))
| ssPv7(skf3(skf2(u)))
| ssPv7(skf2(u))
| ssPv8(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[1,127]),
[iquote('0:Res:1.0,127.4')] ).
cnf(127,plain,
( ~ ssPv6(u)
| ~ ssPv2(u)
| ~ ssPv5(u)
| ~ ssPv7(u)
| ~ ssRr(v,skf2(u))
| ssPv3(skf2(u))
| ssPv7(v)
| ssPv7(skf2(u))
| ssPv8(skf2(u)) ),
inference(sor,[status(thm)],[90,121]),
[iquote('0:SoR:90.0,121.4')] ).
cnf(423,plain,
( ~ ssPv7(skf3(u))
| ~ ssPv8(u)
| ~ ssPv5(u)
| ~ ssRr(v,skf3(u))
| ssPv1(skf3(u))
| ssPv8(v)
| ssPv6(u)
| ssPv3(skf3(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[108,402]),
[iquote('0:SoR:108.1,402.2')] ).
cnf(687,plain,
( ~ ssPv3(u)
| ~ ssPv1(skf3(u))
| ssPv3(skf3(u))
| ssPv7(skf3(skf3(u)))
| ssPv7(skf3(u))
| ssPv6(skf2(skf3(u)))
| ssPv5(skf3(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,660]),
[iquote('0:Res:1.0,660.2')] ).
cnf(688,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv1(u)
| ssPv3(u)
| ssPv7(skf3(u))
| ssPv7(u)
| ssPv6(skf2(u))
| ssPv5(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,660]),
[iquote('0:Res:2.0,660.2')] ).
cnf(660,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv7(skf3(v))
| ssPv7(v)
| ssPv6(skf2(v))
| ssPv5(skf3(v)) ),
inference(res,[status(thm),theory(equality)],[1,183]),
[iquote('0:Res:1.0,183.2')] ).
cnf(183,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssRr(w,v)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv7(w)
| ssPv7(v)
| ssPv6(skf2(v))
| ssPv5(skf3(v)) ),
inference(obv,[status(thm),theory(equality)],[180]),
[iquote('0:Obv:180.0')] ).
cnf(630,plain,
( ~ ssPv7(u)
| ~ ssPv8(u)
| ~ ssPv4(u)
| ssPv1(skf3(u))
| ssPv8(skf3(skf3(u)))
| ssPv6(u)
| ssPv3(u)
| ssPv3(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,362]),
[iquote('0:Res:1.0,362.3')] ).
cnf(362,plain,
( ~ ssPv7(u)
| ~ ssPv8(u)
| ~ ssPv4(u)
| ~ ssRr(v,skf3(u))
| ssPv1(skf3(u))
| ssPv8(v)
| ssPv6(u)
| ssPv3(u)
| ssPv3(skf3(u)) ),
inference(sor,[status(thm)],[107,356]),
[iquote('0:SoR:107.0,356.2')] ).
cnf(486,plain,
( ~ ssPv1(skf2(u))
| ssPv7(u)
| ssPv7(skf2(u))
| ssPv6(skf2(skf2(u)))
| ssPv3(skf2(u))
| ssPv5(skf2(u))
| ssPv8(skf2(u))
| ssPv5(skf3(skf2(u))) ),
inference(res,[status(thm),theory(equality)],[2,176]),
[iquote('0:Res:2.0,176.1')] ).
cnf(564,plain,
( ~ ssPv6(u)
| ~ ssPv2(u)
| ~ ssPv5(u)
| ~ ssPv7(u)
| ssPv8(u)
| ssPv5(skf2(u))
| ssPv7(skf2(u))
| ssPv8(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,126]),
[iquote('0:Res:2.0,126.4')] ).
cnf(126,plain,
( ~ ssPv6(u)
| ~ ssPv2(u)
| ~ ssPv5(u)
| ~ ssPv7(u)
| ~ ssRr(u,v)
| ssPv8(u)
| ssPv5(v)
| ssPv7(skf2(u))
| ssPv8(skf2(u)) ),
inference(sor,[status(thm)],[106,121]),
[iquote('0:SoR:106.1,121.4')] ).
cnf(148,plain,
( ~ ssPv1(skf3(u))
| ssPv6(skf3(skf3(u)))
| ssPv5(skf3(skf3(u)))
| ssPv8(skf3(u))
| ssPv5(skf3(u))
| ssPv3(skf3(u))
| ssPv6(u)
| ssPv7(skf3(u)) ),
inference(sor,[status(thm)],[72,146]),
[iquote('0:SoR:72.0,146.2')] ).
cnf(485,plain,
( ~ ssPv1(u)
| ssPv7(skf3(u))
| ssPv7(u)
| ssPv6(skf2(u))
| ssPv3(u)
| ssPv5(u)
| ssPv8(u)
| ssPv5(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,176]),
[iquote('0:Res:1.0,176.1')] ).
cnf(176,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv7(v)
| ssPv7(u)
| ssPv6(skf2(u))
| ssPv3(u)
| ssPv5(u)
| ssPv8(u)
| ssPv5(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[175]),
[iquote('0:Obv:175.3')] ).
cnf(402,plain,
( ~ ssPv5(u)
| ~ ssPv8(u)
| ssPv7(skf2(skf3(u)))
| ssPv3(u)
| ssPv3(skf3(u))
| ssPv6(u) ),
inference(obv,[status(thm),theory(equality)],[400]),
[iquote('0:Obv:400.3')] ).
cnf(233,plain,
( ~ ssPv8(skf3(u))
| ~ ssPv6(u)
| ~ ssPv5(skf3(u))
| ~ ssPv7(skf3(u))
| ssPv6(skf2(skf3(u)))
| ssPv3(skf3(skf2(skf3(u)))) ),
inference(res,[status(thm),theory(equality)],[1,197]),
[iquote('0:Res:1.0,197.4')] ).
cnf(356,plain,
( ~ ssPv4(u)
| ~ ssPv8(u)
| ssPv7(skf3(u))
| ssPv3(skf3(u))
| ssPv3(u)
| ssPv6(u) ),
inference(obv,[status(thm),theory(equality)],[354]),
[iquote('0:Obv:354.3')] ).
cnf(331,plain,
( ~ ssPv5(u)
| ~ ssPv8(u)
| ssPv4(skf3(u))
| ssPv2(u)
| ssPv8(skf2(skf3(u)))
| ssPv7(u)
| ssPv3(u)
| ssPv6(u) ),
inference(sor,[status(thm)],[87,320]),
[iquote('0:SoR:87.0,320.4')] ).
cnf(154,plain,
( ~ ssPv5(u)
| ~ ssPv8(u)
| ~ ssRr(skf3(u),v)
| ~ ssRr(w,u)
| ssPv7(v)
| ssPv3(skf3(u))
| ssPv3(u)
| ssPv3(w)
| ssPv6(u) ),
inference(mrr,[status(thm)],[150,97]),
[iquote('0:MRR:150.4,97.1')] ).
cnf(320,plain,
( ~ ssPv8(u)
| ~ ssPv5(u)
| ssPv6(u)
| ssPv3(u)
| ssPv3(skf3(u))
| ssPv7(u) ),
inference(obv,[status(thm),theory(equality)],[318]),
[iquote('0:Obv:318.2')] ).
cnf(142,plain,
( ~ ssPv1(skf3(u))
| ~ ssPv3(v)
| ~ ssRr(skf3(u),v)
| ssPv6(skf3(skf3(u)))
| ssPv5(skf3(skf3(u)))
| ssPv6(u)
| ssPv7(skf3(u)) ),
inference(sor,[status(thm)],[72,135]),
[iquote('0:SoR:72.0,135.4')] ).
cnf(156,plain,
( ~ ssPv5(u)
| ~ ssPv8(u)
| ~ ssRr(skf3(u),v)
| ssPv8(skf3(u))
| ssPv7(v)
| ssPv3(skf3(u))
| ssPv3(u)
| ssPv6(u) ),
inference(sor,[status(thm)],[92,153]),
[iquote('0:SoR:92.0,153.4')] ).
cnf(208,plain,
( ~ ssPv3(u)
| ~ ssPv8(u)
| ssPv4(skf3(skf2(u)))
| ssPv2(skf2(u))
| ssPv8(skf2(skf3(skf2(u))))
| ssPv5(u)
| ssPv6(skf2(u)) ),
inference(mrr,[status(thm)],[162,207]),
[iquote('0:MRR:162.0,207.4')] ).
cnf(207,plain,
( ~ ssPv3(u)
| ~ ssPv8(u)
| ssPv4(skf3(skf2(u)))
| ssPv8(skf2(skf3(skf2(u))))
| ssPv4(u)
| ssPv2(skf2(u))
| ssPv6(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[202]),
[iquote('0:Obv:202.3')] ).
cnf(212,plain,
( ~ ssPv8(skf3(u))
| ~ ssPv6(u)
| ~ ssPv5(skf3(u))
| ~ ssPv7(skf3(u))
| ssPv6(skf2(skf3(u)))
| ssPv3(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,198]),
[iquote('0:Res:1.0,198.4')] ).
cnf(197,plain,
( ~ ssPv8(u)
| ~ ssPv6(v)
| ~ ssPv5(u)
| ~ ssPv7(u)
| ~ ssRr(u,v)
| ssPv6(skf2(u))
| ssPv3(skf3(skf2(u))) ),
inference(res,[status(thm),theory(equality)],[1,116]),
[iquote('0:Res:1.0,116.4')] ).
cnf(194,plain,
( ~ ssPv8(skf3(u))
| ~ ssPv3(skf3(u))
| ssPv6(skf2(skf3(u)))
| ssPv3(skf3(skf2(skf3(u))))
| ssPv2(u)
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,171]),
[iquote('0:Res:1.0,171.2')] ).
cnf(137,plain,
( ~ ssPv1(skf3(u))
| ~ ssPv3(u)
| ssPv6(skf3(skf3(u)))
| ssPv5(skf3(skf3(u)))
| ssPv6(skf2(skf3(u)))
| ssPv7(skf3(u)) ),
inference(sor,[status(thm)],[72,133]),
[iquote('0:SoR:72.0,133.3')] ).
cnf(198,plain,
( ~ ssPv8(u)
| ~ ssPv6(v)
| ~ ssPv5(u)
| ~ ssPv7(u)
| ~ ssRr(u,v)
| ssPv6(skf2(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[2,116]),
[iquote('0:Res:2.0,116.4')] ).
cnf(195,plain,
( ~ ssPv8(u)
| ~ ssPv3(u)
| ssPv6(skf2(u))
| ssPv3(skf3(skf2(u)))
| ssPv2(skf2(u))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,171]),
[iquote('0:Res:2.0,171.2')] ).
cnf(116,plain,
( ~ ssPv8(u)
| ~ ssPv6(v)
| ~ ssPv5(u)
| ~ ssPv7(u)
| ~ ssRr(w,skf2(u))
| ~ ssRr(u,v)
| ssPv6(skf2(u))
| ssPv3(w) ),
inference(sor,[status(thm)],[98,113]),
[iquote('0:SoR:98.0,113.4')] ).
cnf(171,plain,
( ~ ssPv8(u)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv6(skf2(u))
| ssPv3(skf3(skf2(u)))
| ssPv2(v)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[1,104]),
[iquote('0:Res:1.0,104.2')] ).
cnf(182,plain,
( ~ ssPv1(u)
| ~ ssPv3(skf2(u))
| ssPv6(skf3(u))
| ssPv5(skf3(u))
| ssPv6(skf2(u))
| ssPv7(u) ),
inference(res,[status(thm),theory(equality)],[2,132]),
[iquote('0:Res:2.0,132.2')] ).
cnf(132,plain,
( ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ssPv6(skf3(u))
| ssPv5(skf3(u))
| ssPv6(skf2(u))
| ssPv7(u) ),
inference(sor,[status(thm)],[72,130]),
[iquote('0:SoR:72.0,130.4')] ).
cnf(138,plain,
( ~ ssPv1(u)
| ssPv6(skf3(u))
| ssPv5(skf3(u))
| ssPv8(u)
| ssPv5(u)
| ssPv3(u)
| ssPv6(skf2(u))
| ssPv7(u) ),
inference(sor,[status(thm)],[72,136]),
[iquote('0:SoR:72.0,136.2')] ).
cnf(104,plain,
( ~ ssPv8(u)
| ~ ssPv3(u)
| ~ ssRr(v,skf2(u))
| ~ ssRr(u,w)
| ssPv6(skf2(u))
| ssPv3(v)
| ssPv2(w)
| ssPv4(u) ),
inference(sor,[status(thm)],[98,84]),
[iquote('0:SoR:98.0,84.4')] ).
cnf(145,plain,
( ~ ssPv1(skf3(u))
| ~ ssPv3(u)
| ssPv6(skf3(skf3(u)))
| ssPv5(skf3(skf3(u)))
| ssPv6(u)
| ssPv7(skf3(u)) ),
inference(sor,[status(thm)],[72,143]),
[iquote('0:SoR:72.0,143.3')] ).
cnf(119,plain,
( ~ ssPv7(skf2(u))
| ~ ssPv5(skf2(u))
| ssPv8(skf2(skf2(u)))
| ssPv8(u)
| ssPv4(skf2(u))
| ssPv8(skf2(u)) ),
inference(sor,[status(thm)],[118,86]),
[iquote('0:SoR:118.2,86.2')] ).
cnf(120,plain,
( ~ ssPv7(u)
| ~ ssPv5(u)
| ~ ssRr(v,u)
| ssPv8(skf2(u))
| ssPv8(v)
| ssPv4(u)
| ssPv8(u) ),
inference(sor,[status(thm)],[118,82]),
[iquote('0:SoR:118.2,82.3')] ).
cnf(157,plain,
( ~ ssPv8(u)
| ~ ssPv3(u)
| ~ ssPv4(u)
| ssPv6(skf2(u))
| ssPv3(skf3(skf2(u)))
| ssPv5(u) ),
inference(res,[status(thm),theory(equality)],[1,103]),
[iquote('0:Res:1.0,103.3')] ).
cnf(103,plain,
( ~ ssPv8(u)
| ~ ssPv3(u)
| ~ ssPv4(u)
| ~ ssRr(v,skf2(u))
| ssPv6(skf2(u))
| ssPv3(v)
| ssPv5(u) ),
inference(sor,[status(thm)],[98,75]),
[iquote('0:SoR:98.0,75.3')] ).
cnf(153,plain,
( ~ ssPv8(u)
| ssPv6(u)
| ssPv3(u)
| ssPv3(skf3(u))
| ssPv5(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[151]),
[iquote('0:Obv:151.2')] ).
cnf(146,plain,
( ssPv7(skf3(u))
| ssPv6(u)
| ssPv4(skf3(skf3(u)))
| ssPv3(skf3(u))
| ssPv5(skf3(u))
| ssPv8(skf3(u)) ),
inference(sor,[status(thm)],[144,67]),
[iquote('0:SoR:144.0,67.3')] ).
cnf(141,plain,
( ssPv7(skf2(u))
| ssPv6(skf2(skf2(u)))
| ssPv4(u)
| ssPv3(skf2(u))
| ssPv5(skf2(u))
| ssPv8(skf2(u)) ),
inference(sor,[status(thm)],[140,67]),
[iquote('0:SoR:140.0,67.3')] ).
cnf(124,plain,
( ~ ssPv6(skf3(u))
| ~ ssPv4(u)
| ~ ssPv5(v)
| ~ ssRr(skf3(u),w)
| ~ ssRr(skf3(u),v)
| ssPv7(w) ),
inference(res,[status(thm),theory(equality)],[1,22]),
[iquote('0:Res:1.0,22.3')] ).
cnf(144,plain,
( ~ ssPv3(skf2(skf3(u)))
| ssPv7(skf3(u))
| ssPv6(u)
| ssPv4(skf3(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[2,135]),
[iquote('0:Res:2.0,135.1')] ).
cnf(143,plain,
( ~ ssPv3(u)
| ssPv7(skf3(u))
| ssPv6(u)
| ssPv4(skf3(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,135]),
[iquote('0:Res:1.0,135.1')] ).
cnf(135,plain,
( ~ ssPv3(u)
| ~ ssRr(skf3(v),u)
| ssPv7(skf3(v))
| ssPv6(v)
| ssPv4(skf3(skf3(v))) ),
inference(res,[status(thm),theory(equality)],[1,114]),
[iquote('0:Res:1.0,114.1')] ).
cnf(140,plain,
( ~ ssPv3(skf2(skf2(u)))
| ssPv7(skf2(u))
| ssPv6(skf2(skf2(u)))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,131]),
[iquote('0:Res:2.0,131.1')] ).
cnf(125,plain,
( ~ ssPv6(u)
| ~ ssPv4(skf2(u))
| ~ ssPv5(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv7(w) ),
inference(res,[status(thm),theory(equality)],[2,22]),
[iquote('0:Res:2.0,22.3')] ).
cnf(131,plain,
( ~ ssPv3(u)
| ~ ssRr(skf2(v),u)
| ssPv7(skf2(v))
| ssPv6(skf2(skf2(v)))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,115]),
[iquote('0:Res:2.0,115.1')] ).
cnf(136,plain,
( ssPv7(u)
| ssPv6(skf2(u))
| ssPv4(skf3(u))
| ssPv3(u)
| ssPv5(u)
| ssPv8(u) ),
inference(sor,[status(thm)],[134,67]),
[iquote('0:SoR:134.0,67.3')] ).
cnf(133,plain,
( ~ ssPv3(u)
| ssPv7(skf3(u))
| ssPv6(skf2(skf3(u)))
| ssPv4(skf3(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,130]),
[iquote('0:Res:1.0,130.1')] ).
cnf(134,plain,
( ~ ssPv3(skf2(u))
| ssPv7(u)
| ssPv6(skf2(u))
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,130]),
[iquote('0:Res:2.0,130.1')] ).
cnf(114,plain,
( ~ ssPv3(u)
| ~ ssRr(v,skf3(w))
| ~ ssRr(skf3(w),u)
| ssPv7(skf3(w))
| ssPv6(w)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,21]),
[iquote('0:Res:1.0,21.1')] ).
cnf(130,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv7(v)
| ssPv6(skf2(v))
| ssPv4(skf3(v)) ),
inference(res,[status(thm),theory(equality)],[1,115]),
[iquote('0:Res:1.0,115.1')] ).
cnf(115,plain,
( ~ ssPv3(u)
| ~ ssRr(v,w)
| ~ ssRr(w,u)
| ssPv7(w)
| ssPv6(skf2(w))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,21]),
[iquote('0:Res:2.0,21.1')] ).
cnf(121,plain,
( ~ ssPv7(u)
| ~ ssPv5(u)
| ~ ssPv2(u)
| ssPv8(skf2(u))
| ssPv1(skf2(u))
| ssPv7(skf2(u)) ),
inference(sor,[status(thm)],[118,69]),
[iquote('0:SoR:118.2,69.2')] ).
cnf(112,plain,
( ~ ssPv7(skf3(u))
| ~ ssPv5(skf3(u))
| ~ ssPv6(v)
| ~ ssRr(skf3(u),v)
| ssPv8(u) ),
inference(res,[status(thm),theory(equality)],[1,19]),
[iquote('0:Res:1.0,19.3')] ).
cnf(22,axiom,
( ~ ssPv6(u)
| ~ ssPv4(v)
| ~ ssPv5(w)
| ~ ssRr(u,v)
| ~ ssRr(u,x)
| ~ ssRr(u,w)
| ssPv7(x) ),
file('SYN772-1.p',unknown),
[] ).
cnf(122,plain,
( ~ ssPv7(u)
| ~ ssPv5(u)
| ssPv8(skf2(u))
| ssPv8(skf3(u))
| ssPv4(u)
| ssPv8(u) ),
inference(sor,[status(thm)],[118,85]),
[iquote('0:SoR:118.2,85.2')] ).
cnf(117,plain,
( ~ ssPv7(skf3(u))
| ~ ssPv5(skf3(u))
| ~ ssPv6(u)
| ssPv8(skf2(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,113]),
[iquote('0:Res:1.0,113.3')] ).
cnf(118,plain,
( ~ ssPv7(u)
| ~ ssPv5(u)
| ~ ssPv6(skf2(u))
| ssPv8(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,113]),
[iquote('0:Res:2.0,113.3')] ).
cnf(113,plain,
( ~ ssPv7(u)
| ~ ssPv5(u)
| ~ ssPv6(v)
| ~ ssRr(u,v)
| ssPv8(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,19]),
[iquote('0:Res:2.0,19.3')] ).
cnf(21,axiom,
( ~ ssPv3(u)
| ~ ssRr(v,w)
| ~ ssRr(x,v)
| ~ ssRr(v,u)
| ssPv7(v)
| ssPv6(w)
| ssPv4(x) ),
file('SYN772-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ ssPv7(u)
| ~ ssPv5(u)
| ~ ssPv6(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv8(w) ),
file('SYN772-1.p',unknown),
[] ).
cnf(110,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv3(u)
| ~ ssPv5(v)
| ~ ssRr(v,skf2(u))
| ssPv5(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,20]),
[iquote('0:Res:2.0,20.3')] ).
cnf(107,plain,
( ~ ssPv7(skf3(u))
| ~ ssPv7(u)
| ~ ssRr(v,skf3(u))
| ssPv1(skf3(u))
| ssPv8(v) ),
inference(res,[status(thm),theory(equality)],[1,18]),
[iquote('0:Res:1.0,18.2')] ).
cnf(109,plain,
( ~ ssPv3(u)
| ~ ssPv3(skf3(u))
| ~ ssPv5(v)
| ~ ssRr(v,u)
| ssPv5(u) ),
inference(res,[status(thm),theory(equality)],[1,20]),
[iquote('0:Res:1.0,20.3')] ).
cnf(20,axiom,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssPv5(w)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv5(u) ),
file('SYN772-1.p',unknown),
[] ).
cnf(108,plain,
( ~ ssPv7(u)
| ~ ssPv7(skf2(u))
| ~ ssRr(v,u)
| ssPv1(u)
| ssPv8(v) ),
inference(res,[status(thm),theory(equality)],[2,18]),
[iquote('0:Res:2.0,18.2')] ).
cnf(18,axiom,
( ~ ssPv7(u)
| ~ ssPv7(v)
| ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv1(u)
| ssPv8(w) ),
file('SYN772-1.p',unknown),
[] ).
cnf(105,plain,
( ~ ssPv6(skf3(u))
| ~ ssPv1(u)
| ~ ssRr(skf3(u),v)
| ssPv8(skf3(u))
| ssPv5(v) ),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.2')] ).
cnf(106,plain,
( ~ ssPv6(u)
| ~ ssPv1(skf2(u))
| ~ ssRr(u,v)
| ssPv8(u)
| ssPv5(v) ),
inference(res,[status(thm),theory(equality)],[2,12]),
[iquote('0:Res:2.0,12.2')] ).
cnf(12,axiom,
( ~ ssPv6(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv8(u)
| ssPv5(w) ),
file('SYN772-1.p',unknown),
[] ).
cnf(99,plain,
( ~ ssPv5(skf3(u))
| ~ ssPv4(u)
| ~ ssRr(skf3(u),v)
| ssPv7(skf3(u))
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.2')] ).
cnf(98,plain,
( ~ ssPv8(skf2(u))
| ~ ssPv8(u)
| ~ ssRr(v,skf2(u))
| ssPv6(skf2(u))
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[2,15]),
[iquote('0:Res:2.0,15.2')] ).
cnf(100,plain,
( ~ ssPv5(u)
| ~ ssPv4(skf2(u))
| ~ ssRr(u,v)
| ssPv7(u)
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[2,14]),
[iquote('0:Res:2.0,14.2')] ).
cnf(97,plain,
( ~ ssPv8(u)
| ~ ssPv8(skf3(u))
| ~ ssRr(v,u)
| ssPv6(u)
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.2')] ).
cnf(14,axiom,
( ~ ssPv5(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv7(u)
| ssPv3(w) ),
file('SYN772-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ ssPv8(u)
| ~ ssPv8(v)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv6(u)
| ssPv3(w) ),
file('SYN772-1.p',unknown),
[] ).
cnf(95,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv3(u)
| ~ ssRr(v,skf2(u))
| ssPv2(skf2(u))
| ssPv5(v) ),
inference(res,[status(thm),theory(equality)],[2,17]),
[iquote('0:Res:2.0,17.2')] ).
cnf(92,plain,
( ~ ssPv5(skf3(u))
| ~ ssPv5(u)
| ~ ssRr(skf3(u),v)
| ssPv8(skf3(u))
| ssPv7(v) ),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.2')] ).
cnf(94,plain,
( ~ ssPv3(u)
| ~ ssPv3(skf3(u))
| ~ ssRr(v,u)
| ssPv2(u)
| ssPv5(v) ),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.2')] ).
cnf(17,axiom,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv2(u)
| ssPv5(w) ),
file('SYN772-1.p',unknown),
[] ).
cnf(90,plain,
( ~ ssPv1(skf2(u))
| ~ ssPv6(u)
| ~ ssRr(v,skf2(u))
| ssPv3(skf2(u))
| ssPv7(v) ),
inference(res,[status(thm),theory(equality)],[2,16]),
[iquote('0:Res:2.0,16.2')] ).
cnf(83,plain,
( ~ ssPv3(skf3(u))
| ~ ssRr(skf3(u),v)
| ssPv4(skf3(u))
| ssPv2(v)
| ssPv8(u) ),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.1')] ).
cnf(93,plain,
( ~ ssPv5(u)
| ~ ssPv5(skf2(u))
| ~ ssRr(u,v)
| ssPv8(u)
| ssPv7(v) ),
inference(res,[status(thm),theory(equality)],[2,13]),
[iquote('0:Res:2.0,13.2')] ).
cnf(89,plain,
( ~ ssPv1(u)
| ~ ssPv6(skf3(u))
| ~ ssRr(v,u)
| ssPv3(u)
| ssPv7(v) ),
inference(res,[status(thm),theory(equality)],[1,16]),
[iquote('0:Res:1.0,16.2')] ).
cnf(13,axiom,
( ~ ssPv5(u)
| ~ ssPv5(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv8(u)
| ssPv7(w) ),
file('SYN772-1.p',unknown),
[] ).
cnf(91,plain,
( ssPv8(skf3(u))
| ssPv4(skf3(u))
| ssPv6(u)
| ssPv8(skf3(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,81]),
[iquote('0:Res:1.0,81.0')] ).
cnf(81,plain,
( ~ ssRr(u,skf3(v))
| ssPv8(skf3(v))
| ssPv4(skf3(v))
| ssPv6(v)
| ssPv8(u) ),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.0')] ).
cnf(87,plain,
( ~ ssPv3(skf3(u))
| ssPv4(skf3(u))
| ssPv2(u)
| ssPv8(skf2(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,84]),
[iquote('0:Res:1.0,84.1')] ).
cnf(88,plain,
( ~ ssPv3(u)
| ssPv4(u)
| ssPv2(skf2(u))
| ssPv8(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,84]),
[iquote('0:Res:2.0,84.1')] ).
cnf(16,axiom,
( ~ ssPv1(u)
| ~ ssPv6(v)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv3(u)
| ssPv7(w) ),
file('SYN772-1.p',unknown),
[] ).
cnf(84,plain,
( ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv2(v)
| ssPv8(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,11]),
[iquote('0:Res:2.0,11.1')] ).
cnf(86,plain,
( ssPv8(skf2(u))
| ssPv4(skf2(u))
| ssPv6(skf2(skf2(u)))
| ssPv8(u) ),
inference(res,[status(thm),theory(equality)],[2,82]),
[iquote('0:Res:2.0,82.0')] ).
cnf(85,plain,
( ssPv8(u)
| ssPv4(u)
| ssPv6(skf2(u))
| ssPv8(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,82]),
[iquote('0:Res:1.0,82.0')] ).
cnf(82,plain,
( ~ ssRr(u,v)
| ssPv8(v)
| ssPv4(v)
| ssPv6(skf2(v))
| ssPv8(u) ),
inference(res,[status(thm),theory(equality)],[2,10]),
[iquote('0:Res:2.0,10.0')] ).
cnf(11,axiom,
( ~ ssPv3(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv4(u)
| ssPv2(w)
| ssPv8(v) ),
file('SYN772-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv8(u)
| ssPv4(u)
| ssPv6(v)
| ssPv8(w) ),
file('SYN772-1.p',unknown),
[] ).
cnf(79,plain,
( ~ ssPv8(skf2(u))
| ~ ssPv7(skf2(u))
| ~ ssPv6(skf2(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,8]),
[iquote('0:Res:2.0,8.3')] ).
cnf(76,plain,
( ~ ssPv8(skf3(u))
| ~ ssPv3(skf3(u))
| ~ ssPv4(u)
| ssPv2(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.3')] ).
cnf(78,plain,
( ~ ssPv8(u)
| ~ ssPv7(u)
| ~ ssPv6(u)
| ssPv2(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.3')] ).
cnf(8,axiom,
( ~ ssPv8(u)
| ~ ssPv7(u)
| ~ ssPv6(u)
| ~ ssRr(v,u)
| ssPv2(v) ),
file('SYN772-1.p',unknown),
[] ).
cnf(77,plain,
( ~ ssPv8(u)
| ~ ssPv3(u)
| ~ ssPv4(skf2(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,9]),
[iquote('0:Res:2.0,9.3')] ).
cnf(9,axiom,
( ~ ssPv8(u)
| ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv2(u) ),
file('SYN772-1.p',unknown),
[] ).
cnf(74,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv3(skf3(u))
| ssPv5(skf3(u))
| ssPv8(u) ),
inference(res,[status(thm),theory(equality)],[1,6]),
[iquote('0:Res:1.0,6.2')] ).
cnf(75,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ssPv5(u)
| ssPv8(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,6]),
[iquote('0:Res:2.0,6.2')] ).
cnf(6,axiom,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv5(u)
| ssPv8(v) ),
file('SYN772-1.p',unknown),
[] ).
cnf(72,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv1(u)
| ssPv6(skf3(u))
| ssPv5(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.2')] ).
cnf(70,plain,
( ~ ssPv7(skf3(u))
| ssPv8(skf3(u))
| ssPv5(skf3(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,4]),
[iquote('0:Res:1.0,4.1')] ).
cnf(73,plain,
( ~ ssPv4(u)
| ~ ssPv1(skf2(u))
| ssPv6(u)
| ssPv5(u) ),
inference(res,[status(thm),theory(equality)],[2,7]),
[iquote('0:Res:2.0,7.2')] ).
cnf(71,plain,
( ~ ssPv7(u)
| ssPv8(u)
| ssPv5(u)
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,4]),
[iquote('0:Res:2.0,4.1')] ).
cnf(7,axiom,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ssPv6(u)
| ssPv5(u) ),
file('SYN772-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ ssPv7(u)
| ~ ssRr(u,v)
| ssPv8(u)
| ssPv5(u)
| ssPv2(v) ),
file('SYN772-1.p',unknown),
[] ).
cnf(69,plain,
( ~ ssPv2(u)
| ssPv7(skf2(u))
| ssPv6(skf2(u))
| ssPv1(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,5]),
[iquote('0:Res:2.0,5.1')] ).
cnf(66,plain,
( ssPv8(skf3(u))
| ssPv5(skf3(u))
| ssPv3(skf3(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,3]),
[iquote('0:Res:1.0,3.0')] ).
cnf(68,plain,
( ~ ssPv2(skf3(u))
| ssPv7(u)
| ssPv6(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,5]),
[iquote('0:Res:1.0,5.1')] ).
cnf(5,axiom,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv7(v)
| ssPv6(v)
| ssPv1(v) ),
file('SYN772-1.p',unknown),
[] ).
cnf(67,plain,
( ssPv8(u)
| ssPv5(u)
| ssPv3(u)
| ssPv3(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,3]),
[iquote('0:Res:2.0,3.0')] ).
cnf(3,axiom,
( ~ ssRr(u,v)
| ssPv8(u)
| ssPv5(u)
| ssPv3(u)
| ssPv3(v) ),
file('SYN772-1.p',unknown),
[] ).
cnf(2,axiom,
ssRr(u,skf2(u)),
file('SYN772-1.p',unknown),
[] ).
cnf(1,axiom,
ssRr(skf3(u),u),
file('SYN772-1.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN772-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 12:43:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.60
% 0.20/0.60 SPASS V 3.9
% 0.20/0.60 SPASS beiseite: Completion found.
% 0.20/0.60 % SZS status CounterSatisfiable
% 0.20/0.60 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.60 SPASS derived 1326 clauses, backtracked 0 clauses, performed 0 splits and kept 190 clauses.
% 0.20/0.60 SPASS allocated 78597 KBytes.
% 0.20/0.60 SPASS spent 0:00:00.25 on the problem.
% 0.20/0.60 0:00:00.04 for the input.
% 0.20/0.60 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.60 0:00:00.10 for inferences.
% 0.20/0.60 0:00:00.00 for the backtracking.
% 0.20/0.60 0:00:00.10 for the reduction.
% 0.20/0.60
% 0.20/0.60
% 0.20/0.60 The saturated set of worked-off clauses is :
% 0.20/0.60 % SZS output start Saturation
% See solution above
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