TSTP Solution File: PLA047_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n003.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 : Fri Sep 1 21:07:37 EDT 2023
% Result : ContradictoryAxioms 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 26 unt; 8 typ; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 0 ( 0 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 175 ( 0 atm; 101 fun; 32 num; 42 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 : 19 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 42 (; 42 !; 0 ?; 42 :)
% 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(f3846,plain,
$false,
inference(evaluation,[],[f3845]) ).
tff(f3845,plain,
0.0 = 1600.0,
inference(forward_demodulation,[],[f3844,f58]) ).
tff(f58,plain,
! [X0: $real] : ( 0.0 = $product(X0,0.0) ),
introduced(theory_axiom_152,[]) ).
tff(f3844,plain,
! [X4: $real] : ( 1600.0 = $product(dc(X4,1600,6),0.0) ),
inference(evaluation,[],[f3828]) ).
tff(f3828,plain,
! [X4: $real] : ( $to_real($uminus(-1600)) = $product(dc(X4,$uminus(-1600),6),$to_real(0)) ),
inference(superposition,[],[f3565,f114]) ).
tff(f114,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f36,f42]) ).
tff(f42,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_151,[]) ).
tff(f36,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_143,[]) ).
tff(f3565,plain,
! [X12: $real,X13: $int] : ( $to_real(X13) = $product(dc(X12,X13,6),$to_real($sum(X13,-1600))) ),
inference(evaluation,[],[f3541]) ).
tff(f3541,plain,
! [X12: $real,X13: $int] : ( $to_real(X13) = $product(dc(X12,X13,6),$to_real($sum(X13,$uminus(1600)))) ),
inference(superposition,[],[f3441,f83]) ).
tff(f83,plain,
ns(6) = 1600,
inference(cnf_transformation,[],[f16]) ).
tff(f16,axiom,
ns(6) = 1600,
file('/export/starexec/sandbox/tmp/tmp.EzntZTyvi6/Vampire---4.8_24639',ns_6) ).
tff(f3441,plain,
! [X2: $int,X0: $real,X1: $int] : ( $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $to_real(X1) ),
inference(evaluation,[],[f3440]) ).
tff(f3440,plain,
! [X2: $int,X0: $real,X1: $int] : ( $product(dc(X0,X1,X2),$to_real($sum(X1,$uminus(ns(X2))))) = $sum($to_real(X1),$uminus(0.0)) ),
inference(forward_demodulation,[],[f3418,f58]) ).
tff(f3418,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(X0,0.0))) ),
inference(backward_demodulation,[],[f100,f3410]) ).
tff(f3410,plain,
! [X10: $int] : ( 0.0 = $to_real(ns(X10)) ),
inference(evaluation,[],[f3388]) ).
tff(f3388,plain,
! [X10: $int] : ( 0.0 = $sum($to_real(ns(X10)),$uminus(0.0)) ),
inference(superposition,[],[f708,f139]) ).
tff(f139,plain,
! [X1: $real] : ( 0.0 = $product(0.0,X1) ),
inference(superposition,[],[f55,f58]) ).
tff(f55,plain,
! [X0: $real,X1: $real] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f708,plain,
! [X0: $int,X1: $real] : ( 0.0 = $sum($to_real(ns(X0)),$uminus($product(X1,$to_real(ns(X0))))) ),
inference(forward_demodulation,[],[f700,f58]) ).
tff(f700,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,[],[f685]) ).
tff(f685,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(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.EzntZTyvi6/Vampire---4.8_24639',dc) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PLA047_1 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 30 16:14:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.38 % (24746)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.38 % (24747)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.38 % (24750)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.38 % (24748)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.38 % (24749)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 Vampire---4 for (569ds/0Mi)
% 0.19/0.38 % (24751)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 Vampire---4 for (531ds/0Mi)
% 0.19/0.38 % (24752)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 Vampire---4 for (522ds/0Mi)
% 0.19/0.38 % (24747)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.38 % (24747)Terminated due to inappropriate strategy.
% 0.19/0.38 % (24747)------------------------------
% 0.19/0.38 % (24747)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.38 % (24747)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.38 % (24747)Termination reason: Inappropriate
% 0.19/0.38
% 0.19/0.38 % (24747)Memory used [KB]: 895
% 0.19/0.38 % (24747)Time elapsed: 0.002 s
% 0.19/0.38 % (24747)------------------------------
% 0.19/0.38 % (24747)------------------------------
% 0.19/0.38 % (24753)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 Vampire---4 for (497ds/0Mi)
% 0.19/0.38 % (24748)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.38 % (24750)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.38 % (24750)Terminated due to inappropriate strategy.
% 0.19/0.38 % (24750)------------------------------
% 0.19/0.38 % (24750)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.38 % (24750)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.38 % (24750)Termination reason: Inappropriate
% 0.19/0.38
% 0.19/0.38 % (24750)Memory used [KB]: 895
% 0.19/0.38 % (24750)Time elapsed: 0.002 s
% 0.19/0.38 % (24750)------------------------------
% 0.19/0.38 % (24750)------------------------------
% 0.19/0.38 % (24748)Terminated due to inappropriate strategy.
% 0.19/0.38 % (24748)------------------------------
% 0.19/0.38 % (24748)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.38 % (24748)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.38 % (24748)Termination reason: Inappropriate
% 0.19/0.38
% 0.19/0.38 % (24748)Memory used [KB]: 895
% 0.19/0.38 % (24748)Time elapsed: 0.003 s
% 0.19/0.38 % (24748)------------------------------
% 0.19/0.38 % (24748)------------------------------
% 0.19/0.38 % (24754)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.19/0.38 % (24754)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.38 % (24754)Terminated due to inappropriate strategy.
% 0.19/0.38 % (24754)------------------------------
% 0.19/0.38 % (24754)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.38 % (24754)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.38 % (24754)Termination reason: Inappropriate
% 0.19/0.38
% 0.19/0.38 % (24754)Memory used [KB]: 895
% 0.19/0.38 % (24754)Time elapsed: 0.001 s
% 0.19/0.38 % (24754)------------------------------
% 0.19/0.38 % (24754)------------------------------
% 0.19/0.38 % (24756)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 0.19/0.39 % (24755)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on Vampire---4 for (382ds/0Mi)
% 0.19/0.39 % (24757)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on Vampire---4 for (354ds/0Mi)
% 0.19/0.52 % (24756)First to succeed.
% 0.19/0.52 % (24756)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status ContradictoryAxioms for Vampire---4
% 0.19/0.52 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.52 % (24756)------------------------------
% 0.19/0.52 % (24756)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.52 % (24756)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.52 % (24756)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (24756)Memory used [KB]: 8059
% 0.19/0.52 % (24756)Time elapsed: 0.139 s
% 0.19/0.52 % (24756)------------------------------
% 0.19/0.52 % (24756)------------------------------
% 0.19/0.52 % (24746)Success in time 0.176 s
% 0.19/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------