TSTP Solution File: PLA047_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PLA047_1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n001.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 : Thu Aug 31 13:04:20 EDT 2023
% Result : ContradictoryAxioms 4.92s 1.07s
% Output : Refutation 4.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 25 ( 17 unt; 8 typ; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 0 ( 0 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 105 ( 0 atm; 63 fun; 17 num; 25 var)
% Number of types : 2 ( 0 usr; 2 ari)
% Number of type conns : 19 ( 7 >; 12 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 25 (; 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
lk: $int > $int ).
tff(func_def_1,type,
ns: $int > $int ).
tff(func_def_2,type,
dc: ( $real * $int * $int ) > $real ).
tff(func_def_3,type,
imp: ( $real * $int * $int ) > $real ).
tff(func_def_4,type,
recexp: ( $real * $int * $int ) > $real ).
tff(func_def_5,type,
mysumr: ( $real * $int * $int * $int ) > $real ).
tff(func_def_6,type,
mysump: ( $real * $int * $int * $int ) > $real ).
tff(func_def_40,type,
sK0: $real ).
tff(f22720,plain,
$false,
inference(evaluation,[],[f22670]) ).
tff(f22670,plain,
0.0 = $to_real(1600),
inference(superposition,[],[f4216,f83]) ).
tff(f83,plain,
ns(6) = 1600,
inference(cnf_transformation,[],[f16]) ).
tff(f16,axiom,
ns(6) = 1600,
file('/export/starexec/sandbox/tmp/tmp.4iLoso1Gfj/Vampire---4.8_1079',ns_6) ).
tff(f4216,plain,
! [X7: $int] : ( 0.0 = $to_real(ns(X7)) ),
inference(evaluation,[],[f4193]) ).
tff(f4193,plain,
! [X7: $int] : ( 0.0 = $sum($to_real(ns(X7)),$uminus(0.0)) ),
inference(superposition,[],[f845,f128]) ).
tff(f128,plain,
! [X1: $real] : ( 0.0 = $product(0.0,X1) ),
inference(superposition,[],[f55,f58]) ).
tff(f58,plain,
! [X0: $real] : ( 0.0 = $product(X0,0.0) ),
introduced(theory_axiom_152,[]) ).
tff(f55,plain,
! [X0: $real,X1: $real] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f845,plain,
! [X0: $int,X1: $real] : ( 0.0 = $sum($to_real(ns(X0)),$uminus($product(X1,$to_real(ns(X0))))) ),
inference(forward_demodulation,[],[f830,f58]) ).
tff(f830,plain,
! [X0: $int,X1: $real] : ( $sum($to_real(ns(X0)),$uminus($product(X1,$to_real(ns(X0))))) = $product(dc(X1,ns(X0),X0),0.0) ),
inference(evaluation,[],[f816]) ).
tff(f816,plain,
! [X0: $int,X1: $real] : ( $sum($to_real(ns(X0)),$uminus($product(X1,$to_real(ns(X0))))) = $product(dc(X1,ns(X0),X0),$to_real(0)) ),
inference(superposition,[],[f100,f36]) ).
tff(f36,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_143,[]) ).
tff(f100,plain,
! [X2: $int,X0: $real,X1: $int] : ( $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $sum($to_real(X1),$uminus($product(X0,$to_real(ns(X2))))) ),
inference(cnf_transformation,[],[f65]) ).
tff(f65,plain,
! [X0: $real,X1: $int,X2: $int] : ( $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $sum($to_real(X1),$uminus($product(X0,$to_real(ns(X2))))) ),
inference(rectify,[],[f27]) ).
tff(f27,plain,
! [X1: $real,X2: $int,X3: $int] : ( $product(dc(X1,X2,X3),$to_real($sum(X2,$uminus(ns(X3))))) = $sum($to_real(X2),$uminus($product(X1,$to_real(ns(X3))))) ),
inference(theory_normalization,[],[f17]) ).
tff(f17,axiom,
! [X1: $real,X2: $int,X3: $int] : ( $product(dc(X1,X2,X3),$to_real($difference(X2,ns(X3)))) = $difference($to_real(X2),$product(X1,$to_real(ns(X3)))) ),
file('/export/starexec/sandbox/tmp/tmp.4iLoso1Gfj/Vampire---4.8_1079',dc) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PLA047_1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 06:12:47 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF0_THM_EQU_ARI problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.4iLoso1Gfj/Vampire---4.8_1079
% 0.15/0.36 % (1348)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (1351)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on Vampire---4 for (1034ds/0Mi)
% 0.22/0.42 % (1353)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.22/0.42 % (1354)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.22/0.42 % (1355)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on Vampire---4 for (408ds/0Mi)
% 0.22/0.42 % (1356)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on Vampire---4 for (318ds/0Mi)
% 0.22/0.42 % (1357)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on Vampire---4 for (280ds/0Mi)
% 0.22/0.42 % (1352)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on Vampire---4 for (572ds/0Mi)
% 0.22/0.53 % (1353)Refutation not found, incomplete strategy% (1353)------------------------------
% 0.22/0.53 % (1353)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.53 % (1353)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.53 % (1353)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53
% 0.22/0.53 % (1353)Memory used [KB]: 5756
% 0.22/0.53 % (1353)Time elapsed: 0.107 s
% 0.22/0.53 % (1353)------------------------------
% 0.22/0.53 % (1353)------------------------------
% 0.22/0.57 % (1441)lrs-1003_28_aac=none:amm=sco:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:gsp=on:gs=on:gsaa=from_current:inw=on:nwc=1.5:sas=z3:sos=all:sac=on:sp=frequency:tha=off:uwa=all:stl=180_226 on Vampire---4 for (226ds/0Mi)
% 0.22/0.60 % (1441)Refutation not found, incomplete strategy% (1441)------------------------------
% 0.22/0.60 % (1441)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.60 % (1441)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.60 % (1441)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.60
% 0.22/0.60 % (1441)Memory used [KB]: 5628
% 0.22/0.60 % (1441)Time elapsed: 0.040 s
% 0.22/0.60 % (1441)------------------------------
% 0.22/0.60 % (1441)------------------------------
% 0.22/0.64 % (1456)lrs+1_15_bd=off:fsd=off:fde=unused:lcm=predicate:lma=on:nm=4:nwc=1.5:sos=all:sac=on:sp=occurrence:stl=60_160 on Vampire---4 for (160ds/0Mi)
% 4.92/1.07 % (1357)First to succeed.
% 4.92/1.07 % (1357)Refutation found. Thanks to Tanya!
% 4.92/1.07 % SZS status ContradictoryAxioms for Vampire---4
% 4.92/1.07 % SZS output start Proof for Vampire---4
% See solution above
% 4.92/1.07 % (1357)------------------------------
% 4.92/1.07 % (1357)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 4.92/1.07 % (1357)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 4.92/1.07 % (1357)Termination reason: Refutation
% 4.92/1.07
% 4.92/1.07 % (1357)Memory used [KB]: 24562
% 4.92/1.07 % (1357)Time elapsed: 0.645 s
% 4.92/1.07 % (1357)------------------------------
% 4.92/1.07 % (1357)------------------------------
% 4.92/1.07 % (1348)Success in time 0.69 s
% 4.92/1.07 % Vampire---4.8 exiting
%------------------------------------------------------------------------------