TSTP Solution File: SWC377-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWC377-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n028.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 : Tue Jul 19 22:03:40 EDT 2022

% Result   : Unsatisfiable 8.91s 9.12s
% Output   : Refutation 10.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWC377-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command  : run_spass %d %s
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 12 06:26:06 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 8.91/9.12  
% 8.91/9.12  SPASS V 3.9 
% 8.91/9.12  SPASS beiseite: Proof found.
% 8.91/9.12  % SZS status Theorem
% 8.91/9.12  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 8.91/9.12  SPASS derived 13246 clauses, backtracked 4027 clauses, performed 59 splits and kept 10267 clauses.
% 8.91/9.12  SPASS allocated 90719 KBytes.
% 8.91/9.12  SPASS spent	0:00:08.73 on the problem.
% 8.91/9.12  		0:00:00.04 for the input.
% 8.91/9.12  		0:00:00.00 for the FLOTTER CNF translation.
% 8.91/9.12  		0:00:00.15 for inferences.
% 8.91/9.12  		0:00:00.28 for the backtracking.
% 8.91/9.12  		0:00:08.06 for the reduction.
% 8.91/9.12  
% 8.91/9.12  
% 8.91/9.12  Here is a proof with depth 4, length 160 :
% 8.91/9.12  % SZS output start Refutation
% 8.91/9.12  2[0:Inp] ||  -> ssList(sk2)*.
% 8.91/9.12  5[0:Inp] ||  -> equal(sk4,sk2)**.
% 8.91/9.12  6[0:Inp] ||  -> equal(sk3,sk1)**.
% 8.91/9.12  7[0:Inp] ||  -> ssItem(sk5)*.
% 8.91/9.12  8[0:Inp] ||  -> memberP(sk1,sk5) memberP(sk2,sk5)*.
% 8.91/9.12  9[0:Inp] || memberP(sk1,sk5) memberP(sk2,sk5)* -> .
% 8.91/9.12  10[0:Inp] || equal(nil,sk4) -> equal(sk3,nil)**.
% 8.91/9.12  11[0:Inp] || neq(sk4,nil)* -> ssItem(sk6).
% 8.91/9.12  12[0:Inp] || neq(sk4,nil)* -> ssList(sk7).
% 8.91/9.12  13[0:Inp] || neq(sk4,nil) -> equal(app(cons(sk6,nil),sk7),sk3)**.
% 8.91/9.12  14[0:Inp] || neq(sk4,nil) -> equal(app(sk7,cons(sk6,nil)),sk4)**.
% 8.91/9.12  15[0:Inp] ||  -> equalelemsP(nil)*.
% 8.91/9.12  16[0:Inp] ||  -> duplicatefreeP(nil)*.
% 8.91/9.12  17[0:Inp] ||  -> strictorderedP(nil)*.
% 8.91/9.12  18[0:Inp] ||  -> totalorderedP(nil)*.
% 8.91/9.12  19[0:Inp] ||  -> strictorderP(nil)*.
% 8.91/9.12  20[0:Inp] ||  -> totalorderP(nil)*.
% 8.91/9.12  21[0:Inp] ||  -> cyclefreeP(nil)*.
% 8.91/9.12  22[0:Inp] ||  -> ssList(nil)*.
% 8.91/9.12  78[0:Inp] ssItem(u) ||  -> equalelemsP(cons(u,nil))*.
% 8.91/9.12  79[0:Inp] ssItem(u) ||  -> duplicatefreeP(cons(u,nil))*.
% 8.91/9.12  80[0:Inp] ssItem(u) ||  -> strictorderedP(cons(u,nil))*.
% 8.91/9.12  81[0:Inp] ssItem(u) ||  -> totalorderedP(cons(u,nil))*.
% 8.91/9.12  82[0:Inp] ssItem(u) ||  -> strictorderP(cons(u,nil))*.
% 8.91/9.12  83[0:Inp] ssItem(u) ||  -> totalorderP(cons(u,nil))*.
% 8.91/9.12  84[0:Inp] ssItem(u) ||  -> cyclefreeP(cons(u,nil))*.
% 8.91/9.12  85[0:Inp] ssItem(u) || memberP(nil,u)* -> .
% 8.91/9.12  86[0:Inp] ssList(u) ||  -> ssItem(v)* duplicatefreeP(u)*.
% 8.91/9.12  99[0:Inp] ssList(u) ssList(v) ||  -> ssList(app(u,v))*.
% 8.91/9.12  100[0:Inp] ssList(u) ssItem(v) ||  -> ssList(cons(v,u))*.
% 8.91/9.12  114[0:Inp] ssList(u) ssList(v) ||  -> equal(u,v) neq(u,v)*.
% 8.91/9.12  116[0:Inp] ssItem(u) ssItem(v) ||  -> equal(u,v) neq(u,v)*.
% 8.91/9.12  130[0:Inp] ssList(u) ssItem(v) || equal(cons(v,nil),u)*+ -> singletonP(u)*.
% 8.91/9.12  134[0:Inp] ssList(u) ssItem(v) ||  -> equal(app(cons(v,nil),u),cons(v,u))**.
% 8.91/9.12  152[0:Inp] ssItem(u) ssItem(v) ssList(w) || equal(u,v) -> memberP(cons(v,w),u)*.
% 8.91/9.12  153[0:Inp] ssItem(u) ssItem(v) ssList(w) || memberP(w,u) -> memberP(cons(v,w),u)*.
% 8.91/9.12  154[0:Inp] ssItem(u) ssList(v) ssList(w) || memberP(v,u) -> memberP(app(v,w),u)*.
% 8.91/9.12  155[0:Inp] ssItem(u) ssList(v) ssList(w) || memberP(w,u) -> memberP(app(v,w),u)*.
% 8.91/9.12  171[0:Inp] ssList(u) ssList(v) ssItem(w) ||  -> equal(app(cons(w,v),u),cons(w,app(v,u)))**.
% 8.91/9.12  172[0:Inp] ssItem(u) ssList(v) ssList(w) || memberP(app(v,w),u)* -> memberP(v,u) memberP(w,u).
% 8.91/9.12  175[0:Inp] ssItem(u) ssItem(v) ssList(w) || memberP(cons(v,w),u)* -> equal(u,v) memberP(w,u).
% 8.91/9.12  191[0:Inp] ssList(u) ssList(v) || equal(hd(v),hd(u))* equal(tl(v),tl(u)) -> equal(v,u) equal(nil,v) equal(nil,u).
% 8.91/9.12  193[0:Inp] ssList(u) duplicatefreeP(u) ssItem(v) ssList(w) ssList(x) ssList(y) || equal(app(app(w,cons(v,x)),cons(v,y)),u)* -> .
% 8.91/9.12  202[0:Rew:5.0,12.0] || neq(sk2,nil)* -> ssList(sk7).
% 8.91/9.12  203[0:Rew:5.0,11.0] || neq(sk2,nil)* -> ssItem(sk6).
% 8.91/9.12  204[0:Rew:6.0,10.1,5.0,10.0] || equal(nil,sk2)** -> equal(nil,sk1).
% 8.91/9.12  205[0:Rew:5.0,14.1,5.0,14.0] || neq(sk2,nil) -> equal(app(sk7,cons(sk6,nil)),sk2)**.
% 8.91/9.12  206[0:Rew:6.0,13.1,5.0,13.0] || neq(sk2,nil) -> equal(app(cons(sk6,nil),sk7),sk1)**.
% 8.91/9.12  248[0:Res:7.0,85.0] || memberP(nil,sk5)* -> .
% 8.91/9.12  394[0:Res:2.0,86.0] ||  -> ssItem(u)* duplicatefreeP(sk2)*.
% 8.91/9.12  409[0:Res:2.0,191.1] ssList(u) || equal(hd(u),hd(sk2))* equal(tl(u),tl(sk2)) -> equal(u,sk2) equal(nil,u) equal(nil,sk2).
% 8.91/9.12  448[0:Res:2.0,114.1] ssList(u) ||  -> equal(sk2,u) neq(sk2,u)*.
% 8.91/9.12  450[0:Res:2.0,100.1] ssItem(u) ||  -> ssList(cons(u,sk2))*.
% 8.91/9.12  491[1:Spt:86.1] ||  -> ssItem(u)*.
% 8.91/9.12  495[1:MRR:85.0,491.0] || memberP(nil,u)* -> .
% 8.91/9.12  496[1:MRR:84.0,491.0] ||  -> cyclefreeP(cons(u,nil))*.
% 8.91/9.12  497[1:MRR:83.0,491.0] ||  -> totalorderP(cons(u,nil))*.
% 8.91/9.12  498[1:MRR:82.0,491.0] ||  -> strictorderP(cons(u,nil))*.
% 8.91/9.12  499[1:MRR:81.0,491.0] ||  -> totalorderedP(cons(u,nil))*.
% 8.91/9.12  500[1:MRR:80.0,491.0] ||  -> strictorderedP(cons(u,nil))*.
% 8.91/9.12  501[1:MRR:79.0,491.0] ||  -> duplicatefreeP(cons(u,nil))*.
% 8.91/9.12  502[1:MRR:78.0,491.0] ||  -> equalelemsP(cons(u,nil))*.
% 8.91/9.12  530[1:MRR:116.1,116.0,491.0] ||  -> equal(u,v) neq(u,v)*.
% 8.91/9.12  588[1:MRR:155.0,491.0] ssList(u) ssList(v) || memberP(v,w) -> memberP(app(u,v),w)*.
% 8.91/9.12  589[1:MRR:154.0,491.0] ssList(u) ssList(v) || memberP(u,w) -> memberP(app(u,v),w)*.
% 8.91/9.12  590[1:MRR:153.1,153.0,491.0] ssList(u) || memberP(u,v) -> memberP(cons(w,u),v)*.
% 8.91/9.12  591[1:MRR:152.1,152.0,491.0] ssList(u) || equal(v,w) -> memberP(cons(w,u),v)*.
% 8.91/9.12  610[1:MRR:175.1,175.0,491.0] ssList(u) || memberP(cons(v,u),w)* -> equal(w,v) memberP(u,w).
% 8.91/9.12  611[1:MRR:172.0,491.0] ssList(u) ssList(v) || memberP(app(u,v),w)* -> memberP(u,w) memberP(v,w).
% 8.91/9.12  626[1:MRR:100.1,491.0] ssList(u) ||  -> ssList(cons(v,u))*.
% 8.91/9.12  631[1:MRR:130.1,491.0] ssList(u) || equal(cons(v,nil),u)*+ -> singletonP(u)*.
% 8.91/9.12  632[1:MRR:134.1,491.0] ssList(u) ||  -> equal(app(cons(v,nil),u),cons(v,u))**.
% 8.91/9.12  689[2:Spt:409.5] ||  -> equal(nil,sk2)**.
% 8.91/9.12  697[2:Rew:689.0,204.0] || equal(sk2,sk2) -> equal(nil,sk1)**.
% 8.91/9.12  747[2:Rew:689.0,495.0] || memberP(sk2,u)* -> .
% 8.91/9.12  770[2:MRR:8.1,747.0] ||  -> memberP(sk1,sk5)*.
% 8.91/9.12  788[2:Obv:697.0] ||  -> equal(nil,sk1)**.
% 8.91/9.12  789[2:Rew:689.0,788.0] ||  -> equal(sk2,sk1)**.
% 8.91/9.12  879[2:Rew:789.0,747.0] || memberP(sk1,u)* -> .
% 8.91/9.12  885[2:UnC:879.0,770.0] ||  -> .
% 8.91/9.12  1002[2:Spt:885.0,409.5,689.0] || equal(nil,sk2)** -> .
% 8.91/9.12  1003[2:Spt:885.0,409.0,409.1,409.2,409.3,409.4] ssList(u) || equal(hd(u),hd(sk2))* equal(tl(u),tl(sk2)) -> equal(u,sk2) equal(nil,u).
% 8.91/9.12  1024[3:Spt:202.0] || neq(sk2,nil)* -> .
% 8.91/9.12  1041[3:Res:530.1,1024.0] ||  -> equal(nil,sk2)**.
% 8.91/9.12  1042[3:MRR:1041.0,1002.0] ||  -> .
% 8.91/9.12  1043[3:Spt:1042.0,202.0,1024.0] ||  -> neq(sk2,nil)*.
% 8.91/9.12  1044[3:Spt:1042.0,202.1] ||  -> ssList(sk7)*.
% 8.91/9.12  1045[3:MRR:205.0,1043.0] ||  -> equal(app(sk7,cons(sk6,nil)),sk2)**.
% 8.91/9.12  1046[3:MRR:206.0,1043.0] ||  -> equal(app(cons(sk6,nil),sk7),sk1)**.
% 8.91/9.12  1050[4:Spt:8.0] ||  -> memberP(sk1,sk5)*.
% 8.91/9.12  1051[4:MRR:9.0,1050.0] || memberP(sk2,sk5)* -> .
% 8.91/9.12  1194[1:EqR:631.1] ssList(cons(u,nil)) ||  -> singletonP(cons(u,nil))*.
% 8.91/9.12  1195[1:SSi:1194.0,626.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,502.0,501.0,500.0,499.0,498.0,497.0,496.1] ||  -> singletonP(cons(u,nil))*.
% 8.91/9.12  1264[3:SpR:632.1,1046.0] ssList(sk7) ||  -> equal(cons(sk6,sk7),sk1)**.
% 8.91/9.12  1270[3:SSi:1264.0,1044.0] ||  -> equal(cons(sk6,sk7),sk1)**.
% 8.91/9.12  1291[3:SpR:1270.0,590.2] ssList(sk7) || memberP(sk7,u)* -> memberP(sk1,u).
% 8.91/9.12  1292[3:SSi:1291.0,1044.0] || memberP(sk7,u)* -> memberP(sk1,u).
% 8.91/9.12  1896[3:SpR:1045.0,588.3] ssList(sk7) ssList(cons(sk6,nil)) || memberP(cons(sk6,nil),u)* -> memberP(sk2,u).
% 8.91/9.12  1899[3:SSi:1896.1,1896.0,626.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,502.0,501.0,500.0,499.0,498.0,497.0,496.0,1195.0,1044.1] || memberP(cons(sk6,nil),u)* -> memberP(sk2,u).
% 8.91/9.12  1921[3:SpR:1046.0,589.3] ssList(cons(sk6,nil)) ssList(sk7) || memberP(cons(sk6,nil),u)* -> memberP(sk1,u).
% 8.91/9.12  1922[3:SpR:1045.0,589.3] ssList(sk7) ssList(cons(sk6,nil)) || memberP(sk7,u)* -> memberP(sk2,u).
% 8.91/9.12  1924[3:SSi:1922.1,1922.0,626.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,502.0,501.0,500.0,499.0,498.0,497.0,496.0,1195.0,1044.1] || memberP(sk7,u)* -> memberP(sk2,u).
% 8.91/9.12  1926[3:SSi:1921.1,1921.0,1044.0,626.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,502.0,501.0,500.0,499.0,498.0,497.0,496.1,1195.0] || memberP(cons(sk6,nil),u)* -> memberP(sk1,u).
% 8.91/9.12  1946[3:SpL:1270.0,610.1] ssList(sk7) || memberP(sk1,u) -> equal(u,sk6) memberP(sk7,u)*.
% 8.91/9.12  1949[3:SSi:1946.0,1044.0] || memberP(sk1,u) -> equal(u,sk6) memberP(sk7,u)*.
% 8.91/9.12  1964[3:Res:591.2,1899.0] ssList(nil) || equal(u,sk6) -> memberP(sk2,u)*.
% 8.91/9.12  1966[3:SSi:1964.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0] || equal(u,sk6) -> memberP(sk2,u)*.
% 8.91/9.12  3031[3:SpL:1045.0,611.2] ssList(sk7) ssList(cons(sk6,nil)) || memberP(sk2,u) -> memberP(sk7,u) memberP(cons(sk6,nil),u)*.
% 8.91/9.12  3038[3:SSi:3031.1,3031.0,626.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,502.0,501.0,500.0,499.0,498.0,497.0,496.0,1195.0,1044.1] || memberP(sk2,u) -> memberP(sk7,u) memberP(cons(sk6,nil),u)*.
% 8.91/9.12  6854[3:Res:1949.2,1924.0] || memberP(sk1,u) -> equal(u,sk6) memberP(sk2,u)*.
% 8.91/9.12  6857[3:MRR:6854.1,1966.0] || memberP(sk1,u) -> memberP(sk2,u)*.
% 8.91/9.12  6863[4:Res:6857.1,1051.0] || memberP(sk1,sk5)* -> .
% 8.91/9.12  6865[4:MRR:6863.0,1050.0] ||  -> .
% 10.34/10.54  6866[4:Spt:6865.0,8.0,1050.0] || memberP(sk1,sk5)* -> .
% 10.34/10.54  6867[4:Spt:6865.0,8.1] ||  -> memberP(sk2,sk5)*.
% 10.34/10.54  9158[3:Res:3038.2,1926.0] || memberP(sk2,u) -> memberP(sk7,u)* memberP(sk1,u).
% 10.34/10.54  9162[3:MRR:9158.1,1292.0] || memberP(sk2,u)* -> memberP(sk1,u).
% 10.34/10.54  9186[4:Res:6867.0,9162.0] ||  -> memberP(sk1,sk5)*.
% 10.34/10.54  9189[4:MRR:9186.0,6866.0] ||  -> .
% 10.34/10.54  9192[1:Spt:9189.0,86.0,86.2] ssList(u) ||  -> duplicatefreeP(u)*.
% 10.34/10.54  9204[1:MRR:193.1,9192.1] ssList(u) ssItem(v) ssList(w) ssList(x) ssList(y) || equal(app(app(w,cons(v,x)),cons(v,y)),u)* -> .
% 10.34/10.54  9281[2:Spt:394.0] ||  -> ssItem(u)*.
% 10.34/10.54  9416[2:MRR:100.1,9281.0] ssList(u) ||  -> ssList(cons(v,u))*.
% 10.34/10.54  9438[2:MRR:9204.1,9281.0] ssList(u) ssList(v) ssList(w) ssList(x) || equal(app(app(v,cons(y,w)),cons(y,x)),u)* -> .
% 10.34/10.54  9472[2:MRR:171.2,9281.0] ssList(u) ssList(v) ||  -> equal(app(cons(w,v),u),cons(w,app(v,u)))**.
% 10.34/10.54  11829[2:SpR:9472.2,99.2] ssList(u) ssList(v) ssList(cons(w,v)) ssList(u) ||  -> ssList(cons(w,app(v,u)))*.
% 10.34/10.54  11872[2:Obv:11829.0] ssList(u) ssList(cons(v,u)) ssList(w) ||  -> ssList(cons(v,app(u,w)))*.
% 10.34/10.54  11873[2:SSi:11872.1,9416.1] ssList(u) ssList(v) ||  -> ssList(cons(w,app(u,v)))*.
% 10.34/10.54  13274[2:EqR:9438.4] ssList(app(app(u,cons(v,w)),cons(v,x))) ssList(u) ssList(w) ssList(x) ||  -> .
% 10.34/10.54  13302[2:SSi:13274.0,99.1,99.1,9416.2,9416.2] ssList(u) ssList(v) ssList(w) ||  -> .
% 10.34/10.54  13314[2:MRR:11873.2,13302.2] ssList(u) ssList(v) ||  -> .
% 10.34/10.54  13328[2:Con:13314.1] ssList(u) ||  -> .
% 10.34/10.54  13329[2:UnC:13328.0,2.0] ||  -> .
% 10.34/10.54  13356[2:Spt:13329.0,394.1] ||  -> duplicatefreeP(sk2)*.
% 10.34/10.54  13358[3:Spt:409.5] ||  -> equal(nil,sk2)**.
% 10.34/10.54  13465[3:Rew:13358.0,248.0] || memberP(sk2,sk5)* -> .
% 10.34/10.54  13475[3:Rew:13358.0,204.0] || equal(sk2,sk2) -> equal(nil,sk1)**.
% 10.34/10.54  13516[3:MRR:8.1,13465.0] ||  -> memberP(sk1,sk5)*.
% 10.34/10.54  13532[3:Obv:13475.0] ||  -> equal(nil,sk1)**.
% 10.34/10.54  13533[3:Rew:13358.0,13532.0] ||  -> equal(sk2,sk1)**.
% 10.34/10.54  13652[3:Rew:13533.0,13465.0] || memberP(sk1,sk5)* -> .
% 10.34/10.54  13659[3:MRR:13652.0,13516.0] ||  -> .
% 10.34/10.54  13878[3:Spt:13659.0,409.5,13358.0] || equal(nil,sk2)** -> .
% 10.34/10.54  13879[3:Spt:13659.0,409.0,409.1,409.2,409.3,409.4] ssList(u) || equal(hd(u),hd(sk2))* equal(tl(u),tl(sk2)) -> equal(u,sk2) equal(nil,u).
% 10.34/10.54  13920[4:Spt:202.0] || neq(sk2,nil)* -> .
% 10.34/10.54  14012[4:Res:448.2,13920.0] ssList(nil) ||  -> equal(nil,sk2)**.
% 10.34/10.54  14013[4:SSi:14012.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0] ||  -> equal(nil,sk2)**.
% 10.34/10.54  14014[4:MRR:14013.0,13878.0] ||  -> .
% 10.34/10.54  14015[4:Spt:14014.0,202.0,13920.0] ||  -> neq(sk2,nil)*.
% 10.34/10.54  14016[4:Spt:14014.0,202.1] ||  -> ssList(sk7)*.
% 10.34/10.54  14017[4:MRR:203.0,14015.0] ||  -> ssItem(sk6)*.
% 10.34/10.54  17374[0:SpR:171.3,99.2] ssList(u) ssList(v) ssItem(w) ssList(cons(w,v)) ssList(u) ||  -> ssList(cons(w,app(v,u)))*.
% 10.34/10.54  17410[0:Obv:17374.0] ssList(u) ssItem(v) ssList(cons(v,u)) ssList(w) ||  -> ssList(cons(v,app(u,w)))*.
% 10.34/10.54  17411[0:SSi:17410.2,100.2] ssList(u) ssItem(v) ssList(w) ||  -> ssList(cons(v,app(u,w)))*.
% 10.34/10.54  19967[1:EqR:9204.5] ssList(app(app(u,cons(v,w)),cons(v,x))) ssItem(v) ssList(u) ssList(w) ssList(x) ||  -> .
% 10.34/10.54  19997[1:SSi:19967.0,99.2,99.2,100.2,100.2] ssItem(u) ssList(v) ssList(w) ssList(x) ||  -> .
% 10.34/10.54  19998[1:MRR:17411.3,19997.1] ssList(u) ssItem(v) ssList(w) ||  -> .
% 10.34/10.54  20001[1:Con:19998.2] ssList(u) ssItem(v) ||  -> .
% 10.34/10.54  20002[1:MRR:450.1,20001.0] ssItem(u) ||  -> .
% 10.34/10.54  20003[4:UnC:20002.0,14017.0] ||  -> .
% 10.34/10.54  % SZS output end Refutation
% 10.34/10.54  Formulae used in the proof : co1_2 co1_5 co1_6 co1_7 co1_8 co1_9 co1_10 co1_11 co1_12 co1_13 co1_14 clause1 clause2 clause3 clause4 clause5 clause6 clause7 clause8 clause64 clause65 clause66 clause67 clause68 clause69 clause70 clause71 clause72 clause85 clause86 clause100 clause102 clause116 clause120 clause138 clause139 clause140 clause141 clause157 clause158 clause161 clause177 clause179
% 10.34/10.54  
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