TSTP Solution File: LCL818-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL818-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : 300s
% DateTime : Tue Apr 30 13:50:13 EDT 2024
% Result : Unsatisfiable 4.88s 1.06s
% Output : Refutation 4.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 17 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-5 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15279,plain,
$false,
inference(resolution,[],[f15275,f314]) ).
fof(f314,axiom,
c_Type_Otyping(v_e____,v_u____,v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_uT_0) ).
fof(f15275,plain,
~ c_Type_Otyping(v_e____,v_u____,v_T____),
inference(resolution,[],[f15274,f373]) ).
fof(f373,axiom,
c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f15274,plain,
( ~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),v_T_H_H____)
| ~ c_Type_Otyping(v_e____,v_u____,v_T____) ),
inference(superposition,[],[f15269,f15025]) ).
fof(f15025,plain,
v_T____ = c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype),
inference(superposition,[],[f325,f354]) ).
fof(f354,axiom,
v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_T_0) ).
fof(f325,axiom,
! [X41,X19,X6,X15,X5,X13] : c_List_Ofoldr(X41,c_List_Olist_OCons(X13,X15,X19),X6,X19,X5) = hAPP(hAPP(X41,X13),c_List_Ofoldr(X41,X15,X6,X19,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldr_Osimps_I2_J_0) ).
fof(f15269,plain,
! [X0] :
( ~ c_Type_Otyping(v_e____,v_u____,c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(X0,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype))
| ~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),X0) ),
inference(forward_demodulation,[],[f15261,f325]) ).
fof(f15261,plain,
! [X0] :
( ~ c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))
| ~ c_Type_Otyping(v_e____,c_Lambda_Osubst(v_a____,v_u____,v_i____),X0) ),
inference(resolution,[],[f329,f375]) ).
fof(f375,axiom,
~ c_Type_Otyping(v_e____,hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),c_Lambda_Osubst(v_a____,v_u____,v_i____)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f329,axiom,
! [X0,X29,X1,X63,X42] :
( c_Type_Otyping(X63,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X0),X42)
| ~ c_Type_Otyping(X63,X1,hAPP(hAPP(c_Type_Otype_OFun,X29),X42))
| ~ c_Type_Otyping(X63,X0,X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_App_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL818-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.34 % Computer : n013.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 23:03:19 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % (13414)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.38 % (13417)WARNING: value z3 for option sas not known
% 0.11/0.38 % (13417)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.38 % (13419)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.38 % (13420)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.38 % (13418)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.38 % (13421)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.38 % (13416)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.38 % (13415)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.45 TRYING [1]
% 0.19/0.46 TRYING [2]
% 1.41/0.63 TRYING [3]
% 2.42/0.71 TRYING [1]
% 2.82/0.75 TRYING [2]
% 4.88/1.06 % (13420)First to succeed.
% 4.88/1.06 % (13420)Refutation found. Thanks to Tanya!
% 4.88/1.06 % SZS status Unsatisfiable for theBenchmark
% 4.88/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 4.88/1.06 % (13420)------------------------------
% 4.88/1.06 % (13420)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.88/1.06 % (13420)Termination reason: Refutation
% 4.88/1.06
% 4.88/1.06 % (13420)Memory used [KB]: 8614
% 4.88/1.06 % (13420)Time elapsed: 0.684 s
% 4.88/1.06 % (13420)Instructions burned: 1233 (million)
% 4.88/1.06 % (13420)------------------------------
% 4.88/1.06 % (13420)------------------------------
% 4.88/1.06 % (13414)Success in time 0.721 s
%------------------------------------------------------------------------------