%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV407+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n008.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 : Wed Jul 20 21:42:41 EDT 2022

% Result   : Theorem 118.09s 118.38s
% Output   : Refutation 118.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV407+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 06:29:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 118.09/118.38  
% 118.09/118.38  SPASS V 3.9 
% 118.09/118.38  SPASS beiseite: Proof found.
% 118.09/118.38  % SZS status Theorem
% 118.09/118.38  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 118.09/118.38  SPASS derived 27908 clauses, backtracked 37 clauses, performed 9 splits and kept 15043 clauses.
% 118.09/118.38  SPASS allocated 126845 KBytes.
% 118.09/118.38  SPASS spent	0:1:58.00 on the problem.
% 118.09/118.38  		0:00:00.04 for the input.
% 118.09/118.38  		0:00:00.04 for the FLOTTER CNF translation.
% 118.09/118.38  		0:00:00.80 for inferences.
% 118.09/118.38  		0:00:01.92 for the backtracking.
% 118.09/118.38  		0:1:54.90 for the reduction.
% 118.09/118.38  
% 118.09/118.38  
% 118.09/118.38  Here is a proof with depth 8, length 110 :
% 118.09/118.38  % SZS output start Refutation
% 118.09/118.38  1[0:Inp] ||  -> less_than(u,u)*.
% 118.09/118.38  6[0:Inp] || pair_in_list(create_slb,u,v)* -> .
% 118.09/118.38  7[0:Inp] ||  -> equal(update_slb(create_slb,u),create_slb)**.
% 118.09/118.38  9[0:Inp] ||  -> equal(findmin_cpq_res(u),removemin_cpq_res(u))**.
% 118.09/118.38  10[0:Inp] ||  -> contains_cpq(triple(skc4,skc5,skc6),skc7)*.
% 118.09/118.38  11[0:Inp] ||  -> check_cpq(findmin_cpq_eff(triple(skc4,skc5,skc6)))*.
% 118.09/118.38  12[0:Inp] || less_than(skf4(u),skf3(u))*l -> .
% 118.09/118.38  13[0:Inp] ||  -> less_than(u,v)* less_than(v,u)*.
% 118.09/118.38  16[0:Inp] ||  -> strictly_less_than(skc7,findmin_cpq_res(triple(skc4,skc5,skc6)))*.
% 118.09/118.38  17[0:Inp] ||  -> less_than(findmin_pqp_res(u),skf5(v,u,w))*r.
% 118.09/118.38  20[0:Inp] || strictly_less_than(u,v)* less_than(v,u) -> .
% 118.09/118.38  29[0:Inp] || less_than(u,v) -> less_than(v,u) strictly_less_than(u,v)*.
% 118.09/118.38  30[0:Inp] || contains_cpq(triple(u,v,w),x)* -> contains_slb(v,x).
% 118.09/118.38  33[0:Inp] ||  -> check_cpq(triple(u,v,w))* pair_in_list(v,skf3(v),skf4(v))*.
% 118.09/118.38  34[0:Inp] || less_than(u,v)* less_than(v,w)* -> less_than(u,w)*.
% 118.09/118.38  36[0:Inp] || equal(u,v) -> contains_slb(insert_slb(w,pair(u,x)),v)*.
% 118.09/118.38  37[0:Inp] ||  -> equal(findmin_cpq_res(triple(u,v,w)),findmin_pqp_res(u))** equal(v,create_slb).
% 118.09/118.38  39[0:Inp] || check_cpq(triple(u,v,w))*+ pair_in_list(v,x,y)* -> less_than(y,x).
% 118.09/118.38  48[0:Inp] || strictly_less_than(u,v) -> equal(update_slb(insert_slb(w,pair(x,u)),v),insert_slb(update_slb(w,v),pair(x,v)))*.
% 118.09/118.38  49[0:Inp] || less_than(u,v) -> equal(insert_slb(update_slb(w,u),pair(x,v)),update_slb(insert_slb(w,pair(x,v)),u))**.
% 118.09/118.38  52[0:Inp] ||  -> equal(u,create_slb) contains_slb(u,findmin_pqp_res(v)) equal(findmin_cpq_eff(triple(v,u,w)),triple(v,update_slb(u,findmin_pqp_res(v)),bad))*.
% 118.09/118.38  56[0:Inp] || contains_slb(u,findmin_pqp_res(v)) less_than(lookup_slb(u,findmin_pqp_res(v)),findmin_pqp_res(v)) -> equal(u,create_slb) equal(triple(v,update_slb(u,findmin_pqp_res(v)),w),findmin_cpq_eff(triple(v,u,w)))**.
% 118.09/118.38  57[0:Inp] || strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u))) contains_slb(v,findmin_pqp_res(u)) -> equal(findmin_cpq_eff(triple(u,v,w)),triple(u,update_slb(v,findmin_pqp_res(u)),bad))* equal(v,create_slb).
% 118.09/118.38  58[0:Inp] || strictly_less_than(u,findmin_cpq_res(triple(v,w,x)))* contains_slb(w,u) -> pair_in_list(update_slb(w,findmin_pqp_res(v)),u,skf5(u,v,w))* pair_in_list(update_slb(w,findmin_pqp_res(v)),u,findmin_pqp_res(v)).
% 118.09/118.38  60[0:Rew:9.0,16.0] ||  -> strictly_less_than(skc7,removemin_cpq_res(triple(skc4,skc5,skc6)))*.
% 118.09/118.38  62[0:Rew:9.0,37.0] ||  -> equal(u,create_slb) equal(removemin_cpq_res(triple(v,u,w)),findmin_pqp_res(v))**.
% 118.09/118.38  63[0:MRR:29.0,13.0] ||  -> strictly_less_than(u,v)* less_than(v,u).
% 118.09/118.38  64[0:MRR:57.1,52.1] || strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u))) -> equal(v,create_slb) equal(findmin_cpq_eff(triple(u,v,w)),triple(u,update_slb(v,findmin_pqp_res(u)),bad))*.
% 118.09/118.38  65[0:Rew:9.0,58.0] || contains_slb(u,v) strictly_less_than(v,removemin_cpq_res(triple(w,u,x)))*+ -> pair_in_list(update_slb(u,findmin_pqp_res(w)),v,findmin_pqp_res(w)) pair_in_list(update_slb(u,findmin_pqp_res(w)),v,skf5(v,w,u))*.
% 118.09/118.38  66[0:Res:10.0,30.0] ||  -> contains_slb(skc5,skc7)*.
% 118.09/118.38  69[0:Res:60.0,65.0] || contains_slb(skc5,skc7) -> pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,skf5(skc7,skc4,skc5))* pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,findmin_pqp_res(skc4)).
% 118.09/118.38  70[0:Res:60.0,20.1] || less_than(removemin_cpq_res(triple(skc4,skc5,skc6)),skc7)*l -> .
% 118.09/118.38  72[0:MRR:69.0,66.0] ||  -> pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,findmin_pqp_res(skc4)) pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,skf5(skc7,skc4,skc5))*.
% 118.09/118.38  90[0:SpR:62.1,60.0] ||  -> equal(skc5,create_slb) strictly_less_than(skc7,findmin_pqp_res(skc4))*.
% 118.09/118.38  93[1:Spt:90.0] ||  -> equal(skc5,create_slb)**.
% 118.09/118.38  100[1:Rew:93.0,72.0] ||  -> pair_in_list(update_slb(create_slb,findmin_pqp_res(skc4)),skc7,findmin_pqp_res(skc4)) pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,skf5(skc7,skc4,skc5))*.
% 118.09/118.38  107[1:Rew:7.0,100.0] ||  -> pair_in_list(create_slb,skc7,findmin_pqp_res(skc4)) pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,skf5(skc7,skc4,skc5))*.
% 118.09/118.38  108[1:Rew:93.0,107.1] ||  -> pair_in_list(create_slb,skc7,findmin_pqp_res(skc4)) pair_in_list(update_slb(create_slb,findmin_pqp_res(skc4)),skc7,skf5(skc7,skc4,create_slb))*.
% 118.09/118.38  109[1:Rew:7.0,108.1] ||  -> pair_in_list(create_slb,skc7,findmin_pqp_res(skc4)) pair_in_list(create_slb,skc7,skf5(skc7,skc4,create_slb))*.
% 118.09/118.38  110[1:MRR:109.0,109.1,6.0,6.0] ||  -> .
% 118.09/118.38  111[1:Spt:110.0,90.0,93.0] || equal(skc5,create_slb)** -> .
% 118.09/118.38  112[1:Spt:110.0,90.1] ||  -> strictly_less_than(skc7,findmin_pqp_res(skc4))*.
% 118.09/118.38  139[0:SpL:62.1,70.0] || less_than(findmin_pqp_res(skc4),skc7)*l -> equal(skc5,create_slb).
% 118.09/118.38  140[1:MRR:139.1,111.0] || less_than(findmin_pqp_res(skc4),skc7)*l -> .
% 118.09/118.38  316[0:SpR:48.1,36.1] || strictly_less_than(u,v) equal(w,x) -> contains_slb(update_slb(insert_slb(y,pair(w,u)),v),x)*.
% 118.09/118.38  354[0:SpR:52.2,52.2] ||  -> equal(u,create_slb) contains_slb(u,findmin_pqp_res(v)) equal(u,create_slb) contains_slb(u,findmin_pqp_res(v)) equal(findmin_cpq_eff(triple(v,u,w)),findmin_cpq_eff(triple(v,u,x)))*.
% 118.09/118.38  365[0:SpL:52.2,39.0] || check_cpq(findmin_cpq_eff(triple(u,v,w)))* pair_in_list(update_slb(v,findmin_pqp_res(u)),x,y)*+ -> equal(v,create_slb) contains_slb(v,findmin_pqp_res(u)) less_than(y,x).
% 118.09/118.38  371[0:Obv:354.1] ||  -> equal(u,create_slb) contains_slb(u,findmin_pqp_res(v)) equal(findmin_cpq_eff(triple(v,u,w)),findmin_cpq_eff(triple(v,u,x)))*.
% 118.09/118.38  461[0:SpR:64.2,64.2] || strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u)))* strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u)))* -> equal(v,create_slb) equal(v,create_slb) equal(findmin_cpq_eff(triple(u,v,w)),findmin_cpq_eff(triple(u,v,x)))*.
% 118.09/118.38  483[0:SpL:64.2,39.0] || strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u)))*+ check_cpq(findmin_cpq_eff(triple(u,v,w)))* pair_in_list(update_slb(v,findmin_pqp_res(u)),x,y)* -> equal(v,create_slb) less_than(y,x).
% 118.09/118.38  496[0:Obv:461.2] || strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u)))*+ -> equal(v,create_slb) equal(findmin_cpq_eff(triple(u,v,w)),findmin_cpq_eff(triple(u,v,x)))*.
% 118.09/118.38  554[0:SpR:49.1,48.1] || less_than(u,u) strictly_less_than(v,u) -> equal(update_slb(insert_slb(w,pair(x,v)),u),update_slb(insert_slb(w,pair(x,u)),u))*.
% 118.09/118.38  567[0:MRR:554.0,1.0] || strictly_less_than(u,v) -> equal(update_slb(insert_slb(w,pair(x,u)),v),update_slb(insert_slb(w,pair(x,v)),v))*.
% 118.09/118.38  681[0:SpR:371.2,11.0] ||  -> equal(skc5,create_slb) contains_slb(skc5,findmin_pqp_res(skc4)) check_cpq(findmin_cpq_eff(triple(skc4,skc5,u)))*.
% 118.09/118.38  712[1:MRR:681.0,111.0] ||  -> contains_slb(skc5,findmin_pqp_res(skc4)) check_cpq(findmin_cpq_eff(triple(skc4,skc5,u)))*.
% 118.09/118.38  736[1:SpR:52.2,712.1] ||  -> equal(skc5,create_slb) contains_slb(skc5,findmin_pqp_res(skc4)) contains_slb(skc5,findmin_pqp_res(skc4)) check_cpq(triple(skc4,update_slb(skc5,findmin_pqp_res(skc4)),bad))*.
% 118.09/118.38  741[1:Obv:736.1] ||  -> equal(skc5,create_slb) contains_slb(skc5,findmin_pqp_res(skc4)) check_cpq(triple(skc4,update_slb(skc5,findmin_pqp_res(skc4)),bad))*.
% 118.09/118.38  742[1:MRR:741.0,111.0] ||  -> contains_slb(skc5,findmin_pqp_res(skc4)) check_cpq(triple(skc4,update_slb(skc5,findmin_pqp_res(skc4)),bad))*.
% 118.09/118.38  792[1:Res:742.1,39.0] || pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),u,v)* -> contains_slb(skc5,findmin_pqp_res(skc4)) less_than(v,u).
% 118.09/118.38  914[0:SpL:56.3,39.0] || contains_slb(u,findmin_pqp_res(v)) less_than(lookup_slb(u,findmin_pqp_res(v)),findmin_pqp_res(v)) check_cpq(findmin_cpq_eff(triple(v,u,w)))* pair_in_list(update_slb(u,findmin_pqp_res(v)),x,y)* -> equal(u,create_slb) less_than(y,x).
% 118.09/118.38  944[0:MRR:914.0,365.3] || less_than(lookup_slb(u,findmin_pqp_res(v)),findmin_pqp_res(v)) check_cpq(findmin_cpq_eff(triple(v,u,w)))* pair_in_list(update_slb(u,findmin_pqp_res(v)),x,y)* -> equal(u,create_slb) less_than(y,x).
% 118.69/118.93  1006[0:SpR:567.1,316.2] || strictly_less_than(u,v)* strictly_less_than(u,v)* equal(w,x) -> contains_slb(update_slb(insert_slb(y,pair(w,v)),v),x)*.
% 118.69/118.93  1036[0:Obv:1006.0] || strictly_less_than(u,v)*+ equal(w,x) -> contains_slb(update_slb(insert_slb(y,pair(w,v)),v),x)*.
% 118.69/118.93  1207[0:Res:63.0,1036.0] || equal(u,v)+ -> less_than(w,x)* contains_slb(update_slb(insert_slb(y,pair(u,w)),w),v)*.
% 118.69/118.93  1930[2:Spt:792.0,792.2] || pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),u,v)* -> less_than(v,u).
% 118.69/118.93  1934[2:Res:72.1,1930.0] ||  -> pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,findmin_pqp_res(skc4))* less_than(skf5(skc7,skc4,skc5),skc7).
% 118.69/118.93  2005[2:Res:1934.0,1930.0] ||  -> less_than(skf5(skc7,skc4,skc5),skc7)*l less_than(findmin_pqp_res(skc4),skc7).
% 118.69/118.93  2006[2:MRR:2005.1,140.0] ||  -> less_than(skf5(skc7,skc4,skc5),skc7)*l.
% 118.69/118.93  2014[2:OCh:34.1,34.0,2006.0,17.0] ||  -> less_than(findmin_pqp_res(skc4),skc7)*l.
% 118.69/118.93  2023[2:MRR:2014.0,140.0] ||  -> .
% 118.69/118.93  2025[2:Spt:2023.0,792.1] ||  -> contains_slb(skc5,findmin_pqp_res(skc4))*.
% 118.69/118.93  2038[0:Res:63.0,496.0] ||  -> less_than(lookup_slb(u,findmin_pqp_res(v)),findmin_pqp_res(v)) equal(u,create_slb) equal(findmin_cpq_eff(triple(v,u,w)),findmin_cpq_eff(triple(v,u,x)))*.
% 118.69/118.93  5678[0:EqR:1207.0] ||  -> less_than(u,v)* contains_slb(update_slb(insert_slb(w,pair(x,u)),u),x)*.
% 118.69/118.93  5689[0:SpR:567.1,5678.1] || strictly_less_than(u,v)+ -> less_than(v,w)* contains_slb(update_slb(insert_slb(x,pair(y,u)),v),y)*.
% 118.69/118.93  8061[1:Res:112.0,5689.0] ||  -> less_than(findmin_pqp_res(skc4),u)* contains_slb(update_slb(insert_slb(v,pair(w,skc7)),findmin_pqp_res(skc4)),w)*.
% 118.69/118.93  8086[3:Spt:8061.0] ||  -> less_than(findmin_pqp_res(skc4),u)*.
% 118.69/118.93  8087[3:UnC:8086.0,140.0] ||  -> .
% 118.69/118.93  8088[3:Spt:8087.0,8061.1] ||  -> contains_slb(update_slb(insert_slb(u,pair(v,skc7)),findmin_pqp_res(skc4)),v)*.
% 118.69/118.93  13645[0:Res:63.0,483.0] || check_cpq(findmin_cpq_eff(triple(u,v,w)))* pair_in_list(update_slb(v,findmin_pqp_res(u)),x,y)* -> less_than(lookup_slb(v,findmin_pqp_res(u)),findmin_pqp_res(u)) equal(v,create_slb) less_than(y,x).
% 118.69/118.93  13646[0:MRR:13645.2,944.0] || check_cpq(findmin_cpq_eff(triple(u,v,w)))* pair_in_list(update_slb(v,findmin_pqp_res(u)),x,y)*+ -> equal(v,create_slb) less_than(y,x).
% 118.69/118.93  26940[0:SpR:2038.2,11.0] ||  -> less_than(lookup_slb(skc5,findmin_pqp_res(skc4)),findmin_pqp_res(skc4)) equal(skc5,create_slb) check_cpq(findmin_cpq_eff(triple(skc4,skc5,u)))*.
% 118.69/118.93  27032[1:MRR:26940.1,111.0] ||  -> less_than(lookup_slb(skc5,findmin_pqp_res(skc4)),findmin_pqp_res(skc4)) check_cpq(findmin_cpq_eff(triple(skc4,skc5,u)))*.
% 118.69/118.93  27307[0:Res:33.1,13646.1] || check_cpq(findmin_cpq_eff(triple(u,v,w)))* -> check_cpq(triple(x,update_slb(v,findmin_pqp_res(u)),y))* equal(v,create_slb) less_than(skf4(update_slb(v,findmin_pqp_res(u))),skf3(update_slb(v,findmin_pqp_res(u)))).
% 118.69/118.93  27329[0:Res:72.1,13646.1] || check_cpq(findmin_cpq_eff(triple(skc4,skc5,u)))* -> pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,findmin_pqp_res(skc4))* equal(skc5,create_slb) less_than(skf5(skc7,skc4,skc5),skc7).
% 118.69/118.93  27336[1:MRR:27329.2,111.0] || check_cpq(findmin_cpq_eff(triple(skc4,skc5,u)))* -> pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,findmin_pqp_res(skc4))* less_than(skf5(skc7,skc4,skc5),skc7).
% 118.69/118.93  27337[0:MRR:27307.3,12.0] || check_cpq(findmin_cpq_eff(triple(u,v,w)))*+ -> check_cpq(triple(x,update_slb(v,findmin_pqp_res(u)),y))* equal(v,create_slb).
% 118.69/118.93  27376[4:Spt:27032.1] ||  -> check_cpq(findmin_cpq_eff(triple(skc4,skc5,u)))*.
% 118.69/118.93  27377[4:MRR:27336.0,27376.0] ||  -> pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,findmin_pqp_res(skc4))* less_than(skf5(skc7,skc4,skc5),skc7).
% 118.69/118.93  32111[5:Spt:27377.0] ||  -> pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,findmin_pqp_res(skc4))*.
% 118.69/118.93  32116[5:Res:32111.0,13646.1] || check_cpq(findmin_cpq_eff(triple(skc4,skc5,u)))* -> equal(skc5,create_slb) less_than(findmin_pqp_res(skc4),skc7).
% 118.69/118.93  32118[5:MRR:32116.0,32116.1,32116.2,27376.0,111.0,140.0] ||  -> .
% 118.69/118.93  32120[5:Spt:32118.0,27377.0,32111.0] || pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,findmin_pqp_res(skc4))* -> .
% 118.69/118.93  32121[5:Spt:32118.0,27377.1] ||  -> less_than(skf5(skc7,skc4,skc5),skc7)*l.
% 118.69/118.93  32144[5:OCh:34.1,34.0,32121.0,17.0] ||  -> less_than(findmin_pqp_res(skc4),skc7)*l.
% 118.69/118.93  32198[5:MRR:32144.0,140.0] ||  -> .
% 118.69/118.93  32206[4:Spt:32198.0,27032.0] ||  -> less_than(lookup_slb(skc5,findmin_pqp_res(skc4)),findmin_pqp_res(skc4))*l.
% 118.69/118.93  32289[0:Res:11.0,27337.0] ||  -> check_cpq(triple(u,update_slb(skc5,findmin_pqp_res(skc4)),v))* equal(skc5,create_slb).
% 118.69/118.93  32290[1:MRR:32289.1,111.0] ||  -> check_cpq(triple(u,update_slb(skc5,findmin_pqp_res(skc4)),v))*.
% 118.69/118.93  32297[1:SpR:56.3,32290.0] || contains_slb(skc5,findmin_pqp_res(skc4)) less_than(lookup_slb(skc5,findmin_pqp_res(skc4)),findmin_pqp_res(skc4)) -> equal(skc5,create_slb) check_cpq(findmin_cpq_eff(triple(skc4,skc5,u)))*.
% 118.69/118.93  32317[4:MRR:32297.0,32297.1,32297.2,2025.0,32206.0,111.0] ||  -> check_cpq(findmin_cpq_eff(triple(skc4,skc5,u)))*.
% 118.69/118.93  32318[4:MRR:27336.0,32317.0] ||  -> pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,findmin_pqp_res(skc4))* less_than(skf5(skc7,skc4,skc5),skc7).
% 118.69/118.93  32319[5:Spt:72.0] ||  -> pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,findmin_pqp_res(skc4))*.
% 118.69/118.93  32323[5:Res:32319.0,13646.1] || check_cpq(findmin_cpq_eff(triple(skc4,skc5,u)))* -> equal(skc5,create_slb) less_than(findmin_pqp_res(skc4),skc7).
% 118.69/118.93  32324[5:MRR:32323.1,32323.2,111.0,140.0] || check_cpq(findmin_cpq_eff(triple(skc4,skc5,u)))* -> .
% 118.69/118.93  32325[5:MRR:32324.0,32317.0] ||  -> .
% 118.69/118.93  32327[5:Spt:32325.0,72.0,32319.0] || pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,findmin_pqp_res(skc4))* -> .
% 118.69/118.93  32328[5:Spt:32325.0,72.1] ||  -> pair_in_list(update_slb(skc5,findmin_pqp_res(skc4)),skc7,skf5(skc7,skc4,skc5))*.
% 118.69/118.93  32329[5:MRR:32318.0,32327.0] ||  -> less_than(skf5(skc7,skc4,skc5),skc7)*l.
% 118.69/118.93  32435[5:OCh:34.1,34.0,32329.0,17.0] ||  -> less_than(findmin_pqp_res(skc4),skc7)*l.
% 118.69/118.93  32489[5:MRR:32435.0,140.0] ||  -> .
% 118.69/118.93  % SZS output end Refutation
% 118.69/118.93  Formulae used in the proof : reflexivity ax22 ax28 ax53 l43_co l43_li4142 transitivity stricly_smaller_definition totality l43_l44 ax39 ax21 ax51 ax29 ax30 ax47 ax49 ax48
% 118.69/118.93  
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