TSTP Solution File: SYN757-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN757-1 : 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 12:24:11 EDT 2022

% Result   : Satisfiable 0.38s 0.61s
% Output   : Saturation 0.60s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 2668)

% Comments : 
%------------------------------------------------------------------------------
cnf(2669,plain,
    ( ~ ssPv3(u)
    | ~ ssPv4(u)
    | ~ ssRr(u,v)
    | ssPv2(skf1(u))
    | ssPv4(v) ),
    inference(con,[status(thm)],[2668]),
    [iquote('0:Con:2668.2')] ).

cnf(1669,plain,
    ( ~ ssPv3(u)
    | ~ ssPv4(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,x)
    | ssPv2(v)
    | ssPv4(x) ),
    inference(mrr,[status(thm)],[1668,1077]),
    [iquote('0:MRR:1668.0,1077.3')] ).

cnf(2655,plain,
    ( ~ ssPv1(u)
    | ~ ssRr(v,u)
    | ssPv1(skf1(v))
    | ssPv4(skf1(v))
    | ssPv2(v) ),
    inference(res,[status(thm),theory(equality)],[1,2097]),
    [iquote('0:Res:1.0,2097.1')] ).

cnf(2097,plain,
    ( ~ ssPv1(u)
    | ~ ssRr(v,w)
    | ~ ssRr(v,u)
    | ssPv1(skf1(v))
    | ssPv4(w)
    | ssPv2(v) ),
    inference(res,[status(thm),theory(equality)],[1,815]),
    [iquote('0:Res:1.0,815.1')] ).

cnf(2608,plain,
    ( ~ ssPv2(u)
    | ~ ssPv3(v)
    | ~ ssRr(v,u)
    | ssPv2(skf1(v))
    | ssPv4(skf1(v)) ),
    inference(obv,[status(thm),theory(equality)],[2598]),
    [iquote('0:Obv:2598.0')] ).

cnf(2518,plain,
    ( ~ ssPv3(u)
    | ~ ssPv3(skf1(u))
    | ssPv2(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,2322]),
    [iquote('0:Res:1.0,2322.2')] ).

cnf(1899,plain,
    ( ~ ssPv4(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv3(v)
    | ssPv2(skf1(u))
    | ssPv4(w) ),
    inference(mrr,[status(thm)],[1898,865]),
    [iquote('0:MRR:1898.3,865.0')] ).

cnf(2322,plain,
    ( ~ ssPv3(u)
    | ~ ssPv3(v)
    | ~ ssRr(u,v)
    | ssPv2(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(obv,[status(thm),theory(equality)],[2321]),
    [iquote('0:Obv:2321.3')] ).

cnf(2411,plain,
    ( ~ ssPv4(u)
    | ssPv2(skf1(u))
    | ssPv3(skf1(u)) ),
    inference(obv,[status(thm),theory(equality)],[2410]),
    [iquote('0:Obv:2410.1')] ).

cnf(2072,plain,
    ( ~ ssRr(u,v)
    | ssPv3(v)
    | ssPv2(skf1(u))
    | ssPv3(u) ),
    inference(mrr,[status(thm)],[2071,484]),
    [iquote('0:MRR:2071.1,484.0')] ).

cnf(2119,plain,
    ( ssPv3(skf1(u))
    | ssPv2(skf1(u))
    | ssPv3(u) ),
    inference(mrr,[status(thm)],[2118,480]),
    [iquote('0:MRR:2118.0,480.0')] ).

cnf(815,plain,
    ( ~ ssPv1(u)
    | ~ ssRr(v,w)
    | ~ ssRr(v,x)
    | ~ ssRr(v,u)
    | ssPv1(w)
    | ssPv4(x)
    | ssPv2(v) ),
    inference(mrr,[status(thm)],[800,59]),
    [iquote('0:MRR:800.0,59.4')] ).

cnf(1938,plain,
    ( ~ ssPv3(u)
    | ~ ssPv4(u)
    | ssPv2(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,1852]),
    [iquote('0:Res:1.0,1852.2')] ).

cnf(1681,plain,
    ( ~ ssPv3(u)
    | ~ ssPv4(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv2(v)
    | ssPv4(skf1(u)) ),
    inference(mrr,[status(thm)],[1680,1077]),
    [iquote('0:MRR:1680.0,1077.3')] ).

cnf(1748,plain,
    ( ~ ssPv2(u)
    | ~ ssPv1(u)
    | ~ ssPv4(u)
    | ~ ssRr(u,v)
    | ssPv2(skf1(u))
    | ssPv4(v) ),
    inference(obv,[status(thm),theory(equality)],[1743]),
    [iquote('0:Obv:1743.1')] ).

cnf(1769,plain,
    ( ~ ssPv2(u)
    | ~ ssPv4(u)
    | ssPv1(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,1761]),
    [iquote('0:Res:1.0,1761.2')] ).

cnf(1761,plain,
    ( ~ ssPv2(u)
    | ~ ssPv4(u)
    | ~ ssRr(u,v)
    | ssPv1(skf1(u))
    | ssPv4(v) ),
    inference(res,[status(thm),theory(equality)],[1,1011]),
    [iquote('0:Res:1.0,1011.2')] ).

cnf(1011,plain,
    ( ~ ssPv2(u)
    | ~ ssPv4(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv1(v)
    | ssPv4(w) ),
    inference(con,[status(thm)],[1010]),
    [iquote('0:Con:1010.4')] ).

cnf(1746,plain,
    ( ~ ssPv4(u)
    | ~ ssPv1(u)
    | ssPv1(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,1738]),
    [iquote('0:Res:1.0,1738.2')] ).

cnf(1738,plain,
    ( ~ ssPv4(u)
    | ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ssPv1(skf1(u))
    | ssPv4(v) ),
    inference(res,[status(thm),theory(equality)],[1,956]),
    [iquote('0:Res:1.0,956.2')] ).

cnf(956,plain,
    ( ~ ssPv4(u)
    | ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv1(v)
    | ssPv4(w) ),
    inference(con,[status(thm)],[952]),
    [iquote('0:Con:952.4')] ).

cnf(1711,plain,
    ( ~ ssPv4(u)
    | ~ ssPv4(skf1(u))
    | ~ ssRr(u,v)
    | ssPv3(u)
    | ssPv4(v) ),
    inference(res,[status(thm),theory(equality)],[1,955]),
    [iquote('0:Res:1.0,955.2')] ).

cnf(955,plain,
    ( ~ ssPv4(u)
    | ~ ssPv4(v)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv3(u)
    | ssPv4(w) ),
    inference(mrr,[status(thm)],[953,52]),
    [iquote('0:MRR:953.2,52.3')] ).

cnf(1678,plain,
    ( ~ ssPv3(u)
    | ~ ssPv4(u)
    | ~ ssRr(u,v)
    | ssPv1(v)
    | ssPv4(skf1(u)) ),
    inference(obv,[status(thm),theory(equality)],[1675]),
    [iquote('0:Obv:1675.0')] ).

cnf(1663,plain,
    ( ~ ssPv4(u)
    | ~ ssPv3(u)
    | ssPv1(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,1655]),
    [iquote('0:Res:1.0,1655.2')] ).

cnf(1655,plain,
    ( ~ ssPv4(u)
    | ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ssPv1(skf1(u))
    | ssPv4(v) ),
    inference(res,[status(thm),theory(equality)],[1,814]),
    [iquote('0:Res:1.0,814.2')] ).

cnf(814,plain,
    ( ~ ssPv4(u)
    | ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv1(v)
    | ssPv4(w) ),
    inference(con,[status(thm)],[808]),
    [iquote('0:Con:808.4')] ).

cnf(860,plain,
    ( ~ ssPv4(skf1(u))
    | ~ ssPv2(skf1(u))
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv3(v)
    | ssPv4(w)
    | ssPv3(skf1(u)) ),
    inference(mrr,[status(thm)],[856,172]),
    [iquote('0:MRR:856.0,172.2')] ).

cnf(1078,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv3(v)
    | ssPv1(w) ),
    inference(obv,[status(thm),theory(equality)],[1069]),
    [iquote('0:Obv:1069.0')] ).

cnf(1077,plain,
    ( ~ ssPv4(u)
    | ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ssPv3(v) ),
    inference(obv,[status(thm),theory(equality)],[1071]),
    [iquote('0:Obv:1071.0')] ).

cnf(1058,plain,
    ( ~ ssPv3(u)
    | ~ ssPv3(skf1(u))
    | ~ ssRr(u,v)
    | ssPv3(v) ),
    inference(res,[status(thm),theory(equality)],[1,1057]),
    [iquote('0:Res:1.0,1057.2')] ).

cnf(1057,plain,
    ( ~ ssPv3(u)
    | ~ ssPv3(v)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv3(w) ),
    inference(res,[status(thm),theory(equality)],[1,907]),
    [iquote('0:Res:1.0,907.2')] ).

cnf(1036,plain,
    ( ~ ssPv2(skf1(u))
    | ~ ssPv3(u)
    | ~ ssPv1(u)
    | ~ ssPv4(u) ),
    inference(res,[status(thm),theory(equality)],[1,1035]),
    [iquote('0:Res:1.0,1035.4')] ).

cnf(1035,plain,
    ( ~ ssPv2(u)
    | ~ ssPv3(v)
    | ~ ssPv1(v)
    | ~ ssPv4(v)
    | ~ ssRr(v,u) ),
    inference(obv,[status(thm),theory(equality)],[1031]),
    [iquote('0:Obv:1031.1')] ).

cnf(1029,plain,
    ( ~ ssPv4(u)
    | ~ ssPv1(u)
    | ~ ssPv3(u)
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,1028]),
    [iquote('0:Res:1.0,1028.3')] ).

cnf(1028,plain,
    ( ~ ssPv4(u)
    | ~ ssPv1(u)
    | ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ssPv4(v) ),
    inference(res,[status(thm),theory(equality)],[1,813]),
    [iquote('0:Res:1.0,813.3')] ).

cnf(1021,plain,
    ( ~ ssPv2(u)
    | ~ ssPv4(u)
    | ssPv1(u)
    | ssPv3(skf1(u)) ),
    inference(obv,[status(thm),theory(equality)],[1020]),
    [iquote('0:Obv:1020.3')] ).

cnf(1008,plain,
    ( ~ ssPv4(u)
    | ~ ssPv2(u)
    | ssPv3(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,1005]),
    [iquote('0:Res:1.0,1005.2')] ).

cnf(1005,plain,
    ( ~ ssPv4(u)
    | ~ ssPv2(u)
    | ~ ssRr(u,v)
    | ssPv3(skf1(u))
    | ssPv4(v) ),
    inference(res,[status(thm),theory(equality)],[1,859]),
    [iquote('0:Res:1.0,859.2')] ).

cnf(859,plain,
    ( ~ ssPv4(u)
    | ~ ssPv2(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv3(v)
    | ssPv4(w) ),
    inference(con,[status(thm)],[844]),
    [iquote('0:Con:844.4')] ).

cnf(995,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ssPv1(v)
    | ssPv2(u)
    | ssPv4(skf1(u)) ),
    inference(obv,[status(thm),theory(equality)],[990]),
    [iquote('0:Obv:990.0')] ).

cnf(979,plain,
    ( ~ ssPv3(u)
    | ssPv1(skf1(u))
    | ssPv4(skf1(u))
    | ssPv2(u) ),
    inference(res,[status(thm),theory(equality)],[1,968]),
    [iquote('0:Res:1.0,968.1')] ).

cnf(968,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ssPv1(skf1(u))
    | ssPv4(v)
    | ssPv2(u) ),
    inference(res,[status(thm),theory(equality)],[1,812]),
    [iquote('0:Res:1.0,812.1')] ).

cnf(966,plain,
    ( ~ ssPv3(u)
    | ~ ssPv3(v)
    | ~ ssRr(v,u)
    | ssPv3(skf1(v)) ),
    inference(res,[status(thm),theory(equality)],[1,904]),
    [iquote('0:Res:1.0,904.2')] ).

cnf(812,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv1(v)
    | ssPv4(w)
    | ssPv2(u) ),
    inference(mrr,[status(thm)],[805,619]),
    [iquote('0:MRR:805.0,619.2')] ).

cnf(954,plain,
    ( ~ ssPv1(u)
    | ssPv3(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,948]),
    [iquote('0:Res:1.0,948.1')] ).

cnf(948,plain,
    ( ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ssPv3(skf1(u))
    | ssPv4(v) ),
    inference(res,[status(thm),theory(equality)],[1,865]),
    [iquote('0:Res:1.0,865.1')] ).

cnf(946,plain,
    ( ~ ssPv3(u)
    | ~ ssPv4(u)
    | ssPv3(skf1(u)) ),
    inference(obv,[status(thm),theory(equality)],[945]),
    [iquote('0:Obv:945.2')] ).

cnf(865,plain,
    ( ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv3(v)
    | ssPv4(w) ),
    inference(mrr,[status(thm)],[864,507]),
    [iquote('0:MRR:864.1,507.3')] ).

cnf(884,plain,
    ( ~ ssPv2(skf1(u))
    | ~ ssPv1(u)
    | ~ ssPv3(u)
    | ssPv2(u) ),
    inference(res,[status(thm),theory(equality)],[1,882]),
    [iquote('0:Res:1.0,882.3')] ).

cnf(728,plain,
    ( ~ ssPv3(u)
    | ~ ssPv1(skf1(u))
    | ~ ssPv3(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v)
    | ssPv2(w) ),
    inference(res,[status(thm),theory(equality)],[1,51]),
    [iquote('0:Res:1.0,51.3')] ).

cnf(882,plain,
    ( ~ ssPv2(u)
    | ~ ssPv1(v)
    | ~ ssPv3(v)
    | ~ ssRr(v,u)
    | ssPv2(v) ),
    inference(obv,[status(thm),theory(equality)],[877]),
    [iquote('0:Obv:877.1')] ).

cnf(840,plain,
    ( ~ ssPv3(u)
    | ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ssPv2(u)
    | ssPv4(v) ),
    inference(obv,[status(thm),theory(equality)],[837]),
    [iquote('0:Obv:837.1')] ).

cnf(874,plain,
    ( ~ ssPv3(u)
    | ~ ssPv1(u)
    | ssPv2(u)
    | ssPv4(skf1(u)) ),
    inference(obv,[status(thm),theory(equality)],[872]),
    [iquote('0:Obv:872.1')] ).

cnf(838,plain,
    ( ~ ssPv1(u)
    | ssPv1(skf1(u))
    | ssPv4(skf1(u))
    | ssPv2(u) ),
    inference(res,[status(thm),theory(equality)],[1,832]),
    [iquote('0:Res:1.0,832.1')] ).

cnf(680,plain,
    ( ~ ssPv4(u)
    | ~ ssPv1(skf1(u))
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv3(v)
    | ssPv4(w) ),
    inference(res,[status(thm),theory(equality)],[1,49]),
    [iquote('0:Res:1.0,49.2')] ).

cnf(832,plain,
    ( ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ssPv1(skf1(u))
    | ssPv4(v)
    | ssPv2(u) ),
    inference(res,[status(thm),theory(equality)],[1,811]),
    [iquote('0:Res:1.0,811.1')] ).

cnf(811,plain,
    ( ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv1(v)
    | ssPv4(w)
    | ssPv2(u) ),
    inference(mrr,[status(thm)],[806,54]),
    [iquote('0:MRR:806.0,54.2')] ).

cnf(789,plain,
    ( ~ ssPv1(u)
    | ssPv1(skf1(u))
    | ssPv3(skf1(u)) ),
    inference(mrr,[status(thm)],[319,788]),
    [iquote('0:MRR:319.0,788.1')] ).

cnf(788,plain,
    ( ssPv1(skf1(u))
    | ssPv4(u)
    | ssPv3(skf1(u)) ),
    inference(mrr,[status(thm)],[787,400]),
    [iquote('0:MRR:787.2,400.0')] ).

cnf(665,plain,
    ( ~ ssPv4(u)
    | ~ ssPv3(skf1(u))
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv1(v)
    | ssPv4(w) ),
    inference(res,[status(thm),theory(equality)],[1,48]),
    [iquote('0:Res:1.0,48.2')] ).

cnf(637,plain,
    ( ~ ssPv4(u)
    | ~ ssRr(v,w)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv1(skf1(v))
    | ssPv3(w) ),
    inference(res,[status(thm),theory(equality)],[1,41]),
    [iquote('0:Res:1.0,41.1')] ).

cnf(726,plain,
    ( ~ ssPv4(skf1(u))
    | ssPv2(u)
    | ssPv3(skf1(u)) ),
    inference(mrr,[status(thm)],[725,173]),
    [iquote('0:MRR:725.1,173.1')] ).

cnf(51,axiom,
    ( ~ ssPv3(u)
    | ~ ssPv1(v)
    | ~ ssPv3(w)
    | ~ ssRr(u,v)
    | ~ ssRr(u,x)
    | ~ ssRr(u,w)
    | ssPv2(x) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(708,plain,
    ( ~ ssPv1(skf1(u))
    | ssPv3(skf1(u))
    | ssPv2(u) ),
    inference(res,[status(thm),theory(equality)],[1,686]),
    [iquote('0:Res:1.0,686.1')] ).

cnf(686,plain,
    ( ~ ssPv1(u)
    | ~ ssRr(v,u)
    | ssPv3(skf1(v))
    | ssPv2(v) ),
    inference(mrr,[status(thm)],[684,232,372]),
    [iquote('0:MRR:684.2,684.3,232.0,372.0')] ).

cnf(49,axiom,
    ( ~ ssPv4(u)
    | ~ ssPv1(v)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,x)
    | ssPv3(w)
    | ssPv4(x) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(672,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv3(skf1(v))
    | ssPv4(skf1(v)) ),
    inference(res,[status(thm),theory(equality)],[1,596]),
    [iquote('0:Res:1.0,596.1')] ).

cnf(596,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(v,w)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv3(skf1(v))
    | ssPv4(w) ),
    inference(res,[status(thm),theory(equality)],[1,45]),
    [iquote('0:Res:1.0,45.1')] ).

cnf(658,plain,
    ( ~ ssPv1(u)
    | ssPv4(u)
    | ssPv2(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(obv,[status(thm),theory(equality)],[657]),
    [iquote('0:Obv:657.2')] ).

cnf(48,axiom,
    ( ~ ssPv4(u)
    | ~ ssPv3(v)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,x)
    | ssPv1(w)
    | ssPv4(x) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(659,plain,
    ( ~ ssPv1(u)
    | ssPv3(u)
    | ssPv4(skf1(u))
    | ssPv4(u) ),
    inference(obv,[status(thm),theory(equality)],[649]),
    [iquote('0:Obv:649.2')] ).

cnf(643,plain,
    ( ~ ssPv1(skf1(u))
    | ~ ssPv1(u)
    | ssPv4(u)
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,638]),
    [iquote('0:Res:1.0,638.2')] ).

cnf(638,plain,
    ( ~ ssPv1(u)
    | ~ ssPv1(v)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv4(skf1(v)) ),
    inference(res,[status(thm),theory(equality)],[1,467]),
    [iquote('0:Res:1.0,467.2')] ).

cnf(467,plain,
    ( ~ ssPv1(u)
    | ~ ssPv1(v)
    | ~ ssRr(v,w)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv4(w) ),
    inference(mrr,[status(thm)],[465,54]),
    [iquote('0:MRR:465.2,54.3')] ).

cnf(41,axiom,
    ( ~ ssPv4(u)
    | ~ ssRr(v,w)
    | ~ ssRr(v,x)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv1(w)
    | ssPv3(x) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(630,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ssPv4(skf1(u))
    | ssPv2(v)
    | ssPv2(u) ),
    inference(res,[status(thm),theory(equality)],[1,607]),
    [iquote('0:Res:1.0,607.1')] ).

cnf(607,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv4(v)
    | ssPv2(w)
    | ssPv2(u) ),
    inference(mrr,[status(thm)],[605,181]),
    [iquote('0:MRR:605.1,181.2')] ).

cnf(619,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ssPv4(u)
    | ssPv2(u)
    | ssPv4(v) ),
    inference(obv,[status(thm),theory(equality)],[615]),
    [iquote('0:Obv:615.3')] ).

cnf(618,plain,
    ( ~ ssPv3(u)
    | ssPv4(skf1(u))
    | ssPv2(skf1(u))
    | ssPv2(u) ),
    inference(res,[status(thm),theory(equality)],[1,612]),
    [iquote('0:Res:1.0,612.1')] ).

cnf(43,axiom,
    ( ~ ssPv1(u)
    | ~ ssRr(v,w)
    | ~ ssRr(v,x)
    | ~ ssRr(v,u)
    | ssPv2(v)
    | ssPv3(w)
    | ssPv4(x) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(612,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ssPv4(v)
    | ssPv2(skf1(u))
    | ssPv2(u) ),
    inference(mrr,[status(thm)],[610,169]),
    [iquote('0:MRR:610.1,169.1')] ).

cnf(606,plain,
    ( ~ ssRr(u,v)
    | ssPv2(u)
    | ssPv1(skf1(u))
    | ssPv2(skf1(u))
    | ssPv4(v) ),
    inference(res,[status(thm),theory(equality)],[1,565]),
    [iquote('0:Res:1.0,565.0')] ).

cnf(565,plain,
    ( ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv2(u)
    | ssPv1(skf1(u))
    | ssPv2(v)
    | ssPv4(w) ),
    inference(res,[status(thm),theory(equality)],[1,39]),
    [iquote('0:Res:1.0,39.0')] ).

cnf(595,plain,
    ( ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ssPv4(u)
    | ssPv4(skf1(u))
    | ssPv3(v) ),
    inference(res,[status(thm),theory(equality)],[1,507]),
    [iquote('0:Res:1.0,507.1')] ).

cnf(45,axiom,
    ( ~ ssPv3(u)
    | ~ ssRr(v,w)
    | ~ ssRr(v,x)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv3(w)
    | ssPv4(x) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(580,plain,
    ( ~ ssPv2(u)
    | ~ ssPv1(v)
    | ~ ssPv3(v)
    | ~ ssRr(v,u)
    | ssPv2(skf1(v)) ),
    inference(obv,[status(thm),theory(equality)],[572]),
    [iquote('0:Obv:572.1')] ).

cnf(579,plain,
    ( ~ ssPv2(u)
    | ~ ssPv1(v)
    | ~ ssPv2(v)
    | ~ ssRr(v,u)
    | ssPv2(skf1(v)) ),
    inference(mrr,[status(thm)],[578,482]),
    [iquote('0:MRR:578.0,482.3')] ).

cnf(530,plain,
    ( ~ ssPv3(u)
    | ~ ssPv1(u)
    | ~ ssPv2(v)
    | ~ ssPv4(skf1(u))
    | ~ ssRr(u,v) ),
    inference(res,[status(thm),theory(equality)],[1,37]),
    [iquote('0:Res:1.0,37.4')] ).

cnf(39,axiom,
    ( ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,x)
    | ssPv2(u)
    | ssPv1(v)
    | ssPv2(w)
    | ssPv4(x) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(556,plain,
    ( ~ ssRr(u,v)
    | ssPv2(skf1(u))
    | ssPv3(v)
    | ssPv2(u) ),
    inference(mrr,[status(thm)],[555,381,382]),
    [iquote('0:MRR:555.0,555.2,381.1,382.0')] ).

cnf(542,plain,
    ( ~ ssPv4(u)
    | ~ ssPv4(skf1(u))
    | ssPv3(u)
    | ssPv2(u) ),
    inference(res,[status(thm),theory(equality)],[1,541]),
    [iquote('0:Res:1.0,541.2')] ).

cnf(541,plain,
    ( ~ ssPv4(u)
    | ~ ssPv4(v)
    | ~ ssRr(u,v)
    | ssPv3(u)
    | ssPv2(u) ),
    inference(mrr,[status(thm)],[536,52]),
    [iquote('0:MRR:536.2,52.3')] ).

cnf(460,plain,
    ( ~ ssPv4(u)
    | ~ ssPv3(skf1(u))
    | ~ ssPv4(v)
    | ~ ssRr(u,v)
    | ssPv3(u) ),
    inference(res,[status(thm),theory(equality)],[1,36]),
    [iquote('0:Res:1.0,36.3')] ).

cnf(37,axiom,
    ( ~ ssPv3(u)
    | ~ ssPv1(u)
    | ~ ssPv2(v)
    | ~ ssPv4(w)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(527,plain,
    ( ~ ssPv2(u)
    | ~ ssPv1(u)
    | ssPv4(skf1(u))
    | ssPv3(u) ),
    inference(res,[status(thm),theory(equality)],[1,498]),
    [iquote('0:Res:1.0,498.2')] ).

cnf(498,plain,
    ( ~ ssPv2(u)
    | ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ssPv4(v)
    | ssPv3(u) ),
    inference(mrr,[status(thm)],[497,6]),
    [iquote('0:MRR:497.3,6.0')] ).

cnf(515,plain,
    ( ~ ssPv2(u)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv2(skf1(v)) ),
    inference(con,[status(thm)],[514]),
    [iquote('0:Con:514.1')] ).

cnf(60,plain,
    ( ~ ssPv2(u)
    | ~ ssRr(v,w)
    | ~ ssRr(v,x)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv2(w) ),
    inference(mrr,[status(thm)],[50,57]),
    [iquote('0:MRR:50.0,57.3')] ).

cnf(500,plain,
    ( ~ ssPv1(u)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv1(skf1(v)) ),
    inference(con,[status(thm)],[499]),
    [iquote('0:Con:499.1')] ).

cnf(484,plain,
    ( ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ssPv2(skf1(u))
    | ssPv3(v) ),
    inference(mrr,[status(thm)],[483,383]),
    [iquote('0:MRR:483.1,383.2')] ).

cnf(481,plain,
    ( ~ ssPv2(u)
    | ~ ssPv1(u)
    | ssPv2(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(obv,[status(thm),theory(equality)],[478]),
    [iquote('0:Obv:478.2')] ).

cnf(59,plain,
    ( ~ ssPv1(u)
    | ~ ssRr(v,w)
    | ~ ssRr(v,x)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv1(w) ),
    inference(mrr,[status(thm)],[47,46]),
    [iquote('0:MRR:47.0,46.4')] ).

cnf(482,plain,
    ( ~ ssPv1(u)
    | ~ ssPv2(u)
    | ssPv2(skf1(u))
    | ssPv3(u) ),
    inference(obv,[status(thm),theory(equality)],[471]),
    [iquote('0:Obv:471.3')] ).

cnf(480,plain,
    ( ~ ssPv1(u)
    | ssPv2(skf1(u))
    | ssPv3(skf1(u)) ),
    inference(mrr,[status(thm)],[479,372]),
    [iquote('0:MRR:479.1,372.1')] ).

cnf(466,plain,
    ( ~ ssPv2(u)
    | ~ ssPv1(u)
    | ~ ssPv1(skf1(u))
    | ssPv2(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,459]),
    [iquote('0:Res:1.0,459.3')] ).

cnf(459,plain,
    ( ~ ssPv2(u)
    | ~ ssPv1(u)
    | ~ ssPv1(v)
    | ~ ssRr(u,v)
    | ssPv2(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,35]),
    [iquote('0:Res:1.0,35.3')] ).

cnf(36,axiom,
    ( ~ ssPv4(u)
    | ~ ssPv3(v)
    | ~ ssPv4(w)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv3(u) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(35,axiom,
    ( ~ ssPv2(u)
    | ~ ssPv1(u)
    | ~ ssPv1(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v)
    | ssPv2(w) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(416,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ssPv1(v)
    | ssPv2(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(mrr,[status(thm)],[296,414]),
    [iquote('0:MRR:296.2,414.1')] ).

cnf(447,plain,
    ( ~ ssPv2(skf1(u))
    | ssPv4(u)
    | ssPv1(u) ),
    inference(res,[status(thm),theory(equality)],[1,439]),
    [iquote('0:Res:1.0,439.1')] ).

cnf(439,plain,
    ( ~ ssPv2(u)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv1(v) ),
    inference(mrr,[status(thm)],[438,280]),
    [iquote('0:MRR:438.1,280.2')] ).

cnf(389,plain,
    ( ~ ssPv3(u)
    | ~ ssPv1(v)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv1(w) ),
    inference(mrr,[status(thm)],[31,388]),
    [iquote('0:MRR:31.4,388.1')] ).

cnf(437,plain,
    ( ~ ssPv3(u)
    | ~ ssPv2(skf1(u))
    | ssPv3(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,421]),
    [iquote('0:Res:1.0,421.2')] ).

cnf(421,plain,
    ( ~ ssPv3(u)
    | ~ ssPv2(v)
    | ~ ssRr(u,v)
    | ssPv3(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,384]),
    [iquote('0:Res:1.0,384.2')] ).

cnf(402,plain,
    ( ~ ssPv3(u)
    | ~ ssPv1(skf1(u))
    | ~ ssRr(u,v)
    | ssPv1(v) ),
    inference(mrr,[status(thm)],[233,401]),
    [iquote('0:MRR:233.3,401.1')] ).

cnf(399,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ssPv1(v)
    | ssPv3(skf1(u)) ),
    inference(mrr,[status(thm)],[240,398]),
    [iquote('0:MRR:240.2,398.1')] ).

cnf(384,plain,
    ( ~ ssPv3(u)
    | ~ ssPv2(v)
    | ~ ssRr(u,w)
    | ~ ssRr(u,v)
    | ssPv3(w) ),
    inference(mrr,[status(thm)],[34,382]),
    [iquote('0:MRR:34.1,382.2')] ).

cnf(414,plain,
    ( ~ ssPv3(u)
    | ~ ssPv1(u)
    | ssPv2(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(sor,[status(thm)],[401,291]),
    [iquote('0:SoR:401.2,291.1')] ).

cnf(401,plain,
    ( ~ ssPv3(u)
    | ~ ssPv1(u)
    | ~ ssPv1(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,388]),
    [iquote('0:Res:1.0,388.3')] ).

cnf(400,plain,
    ( ~ ssPv3(u)
    | ssPv1(skf1(u))
    | ssPv3(skf1(u)) ),
    inference(mrr,[status(thm)],[241,398]),
    [iquote('0:MRR:241.1,398.1')] ).

cnf(398,plain,
    ( ~ ssPv3(u)
    | ~ ssPv1(u)
    | ssPv3(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,386]),
    [iquote('0:Res:1.0,386.2')] ).

cnf(388,plain,
    ( ~ ssPv3(u)
    | ~ ssPv1(u)
    | ~ ssPv1(v)
    | ~ ssRr(u,v) ),
    inference(con,[status(thm)],[387]),
    [iquote('0:Con:387.3')] ).

cnf(386,plain,
    ( ~ ssPv3(u)
    | ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ssPv3(v) ),
    inference(con,[status(thm)],[385]),
    [iquote('0:Con:385.2')] ).

cnf(383,plain,
    ( ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ssPv2(u)
    | ssPv3(v) ),
    inference(mrr,[status(thm)],[364,381]),
    [iquote('0:MRR:364.1,381.1')] ).

cnf(381,plain,
    ( ~ ssRr(u,v)
    | ssPv4(u)
    | ssPv2(u)
    | ssPv3(v) ),
    inference(mrr,[status(thm)],[377,291,2]),
    [iquote('0:MRR:377.0,377.1,291.1,2.2')] ).

cnf(382,plain,
    ( ~ ssPv3(u)
    | ~ ssRr(u,v)
    | ssPv2(u)
    | ssPv3(v) ),
    inference(mrr,[status(thm)],[7,381]),
    [iquote('0:MRR:7.0,381.1')] ).

cnf(372,plain,
    ( ~ ssPv1(u)
    | ssPv2(u)
    | ssPv3(skf1(u)) ),
    inference(obv,[status(thm),theory(equality)],[371]),
    [iquote('0:Obv:371.2')] ).

cnf(332,plain,
    ( ~ ssPv4(u)
    | ~ ssPv4(skf1(u))
    | ~ ssRr(u,v)
    | ssPv1(u)
    | ssPv3(v) ),
    inference(res,[status(thm),theory(equality)],[1,30]),
    [iquote('0:Res:1.0,30.2')] ).

cnf(30,axiom,
    ( ~ ssPv4(u)
    | ~ ssPv4(v)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv1(u)
    | ssPv3(w) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(316,plain,
    ( ~ ssPv4(u)
    | ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ssPv1(skf1(u))
    | ssPv3(v) ),
    inference(res,[status(thm),theory(equality)],[1,23]),
    [iquote('0:Res:1.0,23.2')] ).

cnf(23,axiom,
    ( ~ ssPv4(u)
    | ~ ssPv1(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv1(v)
    | ssPv3(w) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(297,plain,
    ( ~ ssRr(u,v)
    | ssPv4(u)
    | ssPv1(v)
    | ssPv2(skf1(u))
    | ssPv4(skf1(u)) ),
    inference(mrr,[status(thm)],[295,244]),
    [iquote('0:MRR:295.0,244.4')] ).

cnf(291,plain,
    ( ssPv4(u)
    | ssPv1(u)
    | ssPv2(u) ),
    inference(obv,[status(thm),theory(equality)],[286]),
    [iquote('0:Obv:286.1')] ).

cnf(285,plain,
    ( ~ ssPv2(skf1(u))
    | ssPv4(u)
    | ssPv2(u) ),
    inference(res,[status(thm),theory(equality)],[1,279]),
    [iquote('0:Res:1.0,279.1')] ).

cnf(279,plain,
    ( ~ ssPv2(u)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv2(v) ),
    inference(mrr,[status(thm)],[8,278]),
    [iquote('0:MRR:8.0,278.1')] ).

cnf(250,plain,
    ( ssPv1(u)
    | ssPv3(u)
    | ssPv1(skf1(u))
    | ssPv4(u) ),
    inference(res,[status(thm),theory(equality)],[1,248]),
    [iquote('0:Res:1.0,248.0')] ).

cnf(248,plain,
    ( ~ ssRr(u,v)
    | ssPv1(u)
    | ssPv3(u)
    | ssPv1(v)
    | ssPv4(u) ),
    inference(obv,[status(thm),theory(equality)],[246]),
    [iquote('0:Obv:246.1')] ).

cnf(247,plain,
    ( ssPv4(u)
    | ssPv4(skf1(u))
    | ssPv1(skf1(u))
    | ssPv3(u) ),
    inference(res,[status(thm),theory(equality)],[1,244]),
    [iquote('0:Res:1.0,244.0')] ).

cnf(244,plain,
    ( ~ ssRr(u,v)
    | ssPv4(u)
    | ssPv4(skf1(u))
    | ssPv1(v)
    | ssPv3(u) ),
    inference(res,[status(thm),theory(equality)],[1,219]),
    [iquote('0:Res:1.0,219.0')] ).

cnf(219,plain,
    ( ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv4(u)
    | ssPv4(v)
    | ssPv1(w)
    | ssPv3(u) ),
    inference(mrr,[status(thm)],[216,54]),
    [iquote('0:MRR:216.0,54.3')] ).

cnf(232,plain,
    ( ~ ssPv3(u)
    | ssPv2(u)
    | ssPv3(skf1(u)) ),
    inference(mrr,[status(thm)],[162,231]),
    [iquote('0:MRR:162.0,231.0')] ).

cnf(231,plain,
    ( ssPv4(u)
    | ssPv2(u)
    | ssPv3(skf1(u)) ),
    inference(mrr,[status(thm)],[230,165,173]),
    [iquote('0:MRR:230.0,230.1,165.2,173.1')] ).

cnf(218,plain,
    ( ~ ssPv2(u)
    | ssPv3(u)
    | ssPv1(skf1(u))
    | ssPv2(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,210]),
    [iquote('0:Res:1.0,210.1')] ).

cnf(210,plain,
    ( ~ ssPv2(u)
    | ~ ssRr(u,v)
    | ssPv3(u)
    | ssPv1(v)
    | ssPv2(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,14]),
    [iquote('0:Res:1.0,14.1')] ).

cnf(213,plain,
    ( ~ ssRr(u,v)
    | ssPv1(u)
    | ssPv4(u)
    | ssPv3(u)
    | ssPv3(v) ),
    inference(obv,[status(thm),theory(equality)],[211]),
    [iquote('0:Obv:211.1')] ).

cnf(209,plain,
    ( ~ ssRr(u,v)
    | ssPv4(skf1(u))
    | ssPv3(v)
    | ssPv3(u)
    | ssPv4(u) ),
    inference(res,[status(thm),theory(equality)],[1,194]),
    [iquote('0:Res:1.0,194.0')] ).

cnf(14,axiom,
    ( ~ ssPv2(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv3(u)
    | ssPv1(w)
    | ssPv2(v) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(194,plain,
    ( ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv4(v)
    | ssPv3(w)
    | ssPv3(u)
    | ssPv4(u) ),
    inference(obv,[status(thm),theory(equality)],[190]),
    [iquote('0:Obv:190.2')] ).

cnf(203,plain,
    ( ssPv1(u)
    | ssPv4(u)
    | ssPv3(u)
    | ssPv3(skf1(u)) ),
    inference(obv,[status(thm),theory(equality)],[202]),
    [iquote('0:Obv:202.0')] ).

cnf(201,plain,
    ( ssPv4(skf1(u))
    | ssPv3(skf1(u))
    | ssPv3(u)
    | ssPv4(u) ),
    inference(res,[status(thm),theory(equality)],[1,200]),
    [iquote('0:Res:1.0,200.0')] ).

cnf(200,plain,
    ( ~ ssRr(u,v)
    | ssPv4(v)
    | ssPv3(skf1(u))
    | ssPv3(u)
    | ssPv4(u) ),
    inference(obv,[status(thm),theory(equality)],[197]),
    [iquote('0:Obv:197.1')] ).

cnf(19,axiom,
    ( ~ ssPv1(u)
    | ~ ssRr(v,w)
    | ~ ssRr(v,u)
    | ssPv4(v)
    | ssPv2(v)
    | ssPv1(w) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv4(u)
    | ssPv3(u)
    | ssPv2(v)
    | ssPv3(w) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(187,plain,
    ( ~ ssPv2(u)
    | ssPv1(skf1(u))
    | ssPv3(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,186]),
    [iquote('0:Res:1.0,186.1')] ).

cnf(186,plain,
    ( ~ ssPv2(u)
    | ~ ssRr(u,v)
    | ssPv1(skf1(u))
    | ssPv3(v) ),
    inference(res,[status(thm),theory(equality)],[1,58]),
    [iquote('0:Res:1.0,58.1')] ).

cnf(58,plain,
    ( ~ ssPv2(u)
    | ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv1(v)
    | ssPv3(w) ),
    inference(mrr,[status(thm)],[22,13]),
    [iquote('0:MRR:22.1,13.5')] ).

cnf(181,plain,
    ( ~ ssRr(u,v)
    | ssPv2(v)
    | ssPv1(u)
    | ssPv2(u) ),
    inference(obv,[status(thm),theory(equality)],[179]),
    [iquote('0:Obv:179.1')] ).

cnf(178,plain,
    ( ~ ssPv2(skf1(u))
    | ~ ssRr(u,v)
    | ssPv2(u)
    | ssPv2(v) ),
    inference(res,[status(thm),theory(equality)],[1,56]),
    [iquote('0:Res:1.0,56.1')] ).

cnf(56,plain,
    ( ~ ssPv2(u)
    | ~ ssRr(v,u)
    | ~ ssRr(v,w)
    | ssPv2(v)
    | ssPv2(w) ),
    inference(mrr,[status(thm)],[29,53]),
    [iquote('0:MRR:29.1,53.3')] ).

cnf(172,plain,
    ( ~ ssPv2(skf1(u))
    | ~ ssRr(u,v)
    | ssPv4(u)
    | ssPv4(v) ),
    inference(res,[status(thm),theory(equality)],[1,57]),
    [iquote('0:Res:1.0,57.1')] ).

cnf(173,plain,
    ( ssPv2(u)
    | ssPv2(skf1(u))
    | ssPv3(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,171]),
    [iquote('0:Res:1.0,171.0')] ).

cnf(171,plain,
    ( ~ ssRr(u,v)
    | ssPv2(u)
    | ssPv2(v)
    | ssPv3(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,55]),
    [iquote('0:Res:1.0,55.0')] ).

cnf(57,plain,
    ( ~ ssPv2(u)
    | ~ ssRr(v,u)
    | ~ ssRr(v,w)
    | ssPv4(v)
    | ssPv4(w) ),
    inference(mrr,[status(thm)],[27,54]),
    [iquote('0:MRR:27.1,54.3')] ).

cnf(55,plain,
    ( ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv2(u)
    | ssPv2(w)
    | ssPv3(v) ),
    inference(mrr,[status(thm)],[16,53]),
    [iquote('0:MRR:16.0,53.3')] ).

cnf(169,plain,
    ( ssPv2(u)
    | ssPv1(u)
    | ssPv2(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,167]),
    [iquote('0:Res:1.0,167.0')] ).

cnf(165,plain,
    ( ssPv4(u)
    | ssPv2(u)
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,163]),
    [iquote('0:Res:1.0,163.0')] ).

cnf(54,plain,
    ( ~ ssRr(u,v)
    | ~ ssRr(u,w)
    | ssPv4(u)
    | ssPv2(u)
    | ssPv4(v) ),
    inference(mrr,[status(thm)],[17,11]),
    [iquote('0:MRR:17.0,11.3')] ).

cnf(159,plain,
    ( ~ ssPv2(u)
    | ~ ssPv4(u)
    | ssPv1(u)
    | ssPv3(u) ),
    inference(obv,[status(thm),theory(equality)],[158]),
    [iquote('0:Obv:158.2')] ).

cnf(157,plain,
    ( ~ ssPv4(u)
    | ~ ssPv2(u)
    | ssPv3(u)
    | ssPv4(skf1(u)) ),
    inference(res,[status(thm),theory(equality)],[1,6]),
    [iquote('0:Res:1.0,6.2')] ).

cnf(6,axiom,
    ( ~ ssPv4(u)
    | ~ ssPv2(u)
    | ~ ssRr(u,v)
    | ssPv3(u)
    | ssPv4(v) ),
    file('SYN757-1.p',unknown),
    [] ).

cnf(153,plain,
    ( ~ ssPv4(skf1(u))
    | ssPv3(u)
    | ssPv1(u) ),
    inference(res,[status(thm),theory(equality)],[1,52]),
    [iquote('0:Res:1.0,52.1')] ).

cnf(52,plain,
    ( ~ ssPv4(u)
    | ~ ssRr(v,u)
    | ssPv3(v)
    | ssPv1(v) ),
    inference(mrr,[status(thm)],[9,5]),
    [iquote('0:MRR:9.1,5.3')] ).

cnf(1,axiom,
    ssRr(u,skf1(u)),
    file('SYN757-1.p',unknown),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN757-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n018.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 18:17:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.38/0.61  
% 0.38/0.61  SPASS V 3.9 
% 0.38/0.61  SPASS beiseite: Completion found.
% 0.38/0.61  % SZS status CounterSatisfiable
% 0.38/0.61  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.38/0.61  SPASS derived 1638 clauses, backtracked 0 clauses, performed 0 splits and kept 268 clauses.
% 0.38/0.61  SPASS allocated 78131 KBytes.
% 0.38/0.61  SPASS spent	0:00:00.27 on the problem.
% 0.38/0.61  		0:00:00.03 for the input.
% 0.38/0.61  		0:00:00.00 for the FLOTTER CNF translation.
% 0.38/0.61  		0:00:00.05 for inferences.
% 0.38/0.61  		0:00:00.00 for the backtracking.
% 0.38/0.61  		0:00:00.17 for the reduction.
% 0.38/0.61  
% 0.38/0.61  
% 0.38/0.61   The saturated set of worked-off clauses is :
% 0.38/0.61  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------