TSTP Solution File: ARI255_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI255_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n031.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 : Wed Aug 30 17:53:03 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 53 ( 0 atm; 18 fun; 18 num; 17 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 17 (; 15 !; 2 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
tff(f39,plain,
$false,
inference(equality_resolution,[],[f38]) ).
tff(f38,plain,
! [X5: $rat] : ( 1/2 != X5 ),
inference(evaluation,[],[f34]) ).
tff(f34,plain,
! [X5: $rat] : ( 1/2 != $sum(X5,0/1) ),
inference(superposition,[],[f23,f7]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_143,[]) ).
tff(f23,plain,
! [X0: $rat,X1: $rat] : ( 1/2 != $sum(X1,$sum(5/16,X0)) ),
inference(superposition,[],[f22,f3]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f22,plain,
! [X2: $rat,X3: $rat] : ( 1/2 != $sum(X2,$sum(X3,5/16)) ),
inference(superposition,[],[f16,f4]) ).
tff(f4,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_139,[]) ).
tff(f16,plain,
! [X0: $rat] : ( 1/2 != $sum(X0,5/16) ),
inference(superposition,[],[f15,f3]) ).
tff(f15,plain,
! [X0: $rat] : ( $sum(5/16,X0) != 1/2 ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: $rat] : ( $sum(5/16,X0) != 1/2 ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $rat] : ( $sum(5/16,X0) = 1/2 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $rat] : ( $sum(5/16,X0) = 1/2 ),
file('/export/starexec/sandbox2/tmp/tmp.80nYuWTqo3/Vampire---4.8_14334',rat_sum_problem_10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI255_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 : Tue Aug 29 18:26:56 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF0_THM_EQU_ARI problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.80nYuWTqo3/Vampire---4.8_14334
% 0.15/0.37 % (14595)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.43 % (14599)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.15/0.43 % (14602)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)
% 0.15/0.43 % (14600)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)
% 0.15/0.43 % (14597)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)
% 0.15/0.43 % (14601)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)
% 0.15/0.43 % (14596)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)
% 0.15/0.43 % (14598)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)
% 0.22/0.43 % (14596)First to succeed.
% 0.22/0.43 % (14596)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (14596)------------------------------
% 0.22/0.43 % (14596)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (14596)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (14596)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (14596)Memory used [KB]: 5500
% 0.22/0.43 % (14596)Time elapsed: 0.004 s
% 0.22/0.43 % (14596)------------------------------
% 0.22/0.43 % (14596)------------------------------
% 0.22/0.43 % (14595)Success in time 0.063 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------