TSTP Solution File: ARI297_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI297_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 : n020.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 17:53:13 EDT 2023
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 66 ( 0 atm; 17 fun; 34 num; 15 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 : 6 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 15 (; 13 !; 2 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $rat ).
tff(f856,plain,
$false,
inference(evaluation,[],[f844]) ).
tff(f844,plain,
1/4 != $product(2/5,5/8),
inference(unit_resulting_resolution,[],[f24,f841]) ).
tff(f841,plain,
! [X10: $rat] :
( ( 1/4 != $product(2/5,X10) )
| ( sK0 = X10 ) ),
inference(evaluation,[],[f809]) ).
tff(f809,plain,
! [X10: $rat] :
( ( 1/4 != $product(2/5,X10) )
| ( 2/5 = 0/1 )
| ( sK0 = X10 ) ),
inference(superposition,[],[f25,f26]) ).
tff(f26,plain,
1/4 = $product(2/5,sK0),
inference(forward_demodulation,[],[f23,f14]) ).
tff(f14,plain,
! [X0: $rat,X1: $rat] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f23,plain,
1/4 = $product(sK0,2/5),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ( 5/8 != sK0 )
& ( 1/4 = $product(sK0,2/5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
tff(f21,plain,
( ? [X0: $rat] :
( ( 5/8 != X0 )
& ( $product(X0,2/5) = 1/4 ) )
=> ( ( 5/8 != sK0 )
& ( 1/4 = $product(sK0,2/5) ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
? [X0: $rat] :
( ( 5/8 != X0 )
& ( $product(X0,2/5) = 1/4 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $product(X0,2/5) = 1/4 )
=> ( 5/8 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $product(X0,2/5) = 1/4 )
=> ( 5/8 = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.nSx8Rejb2d/Vampire---4.8_26382',rat_product_problem_14) ).
tff(f25,plain,
! [X2: $rat,X3: $rat,X0: $rat] :
( ( $product(X0,X2) != $product(X0,X3) )
| ( 0/1 = X0 )
| ( X2 = X3 ) ),
inference(equality_resolution,[],[f19]) ).
tff(f19,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( ( 0/1 = X0 )
| ( $product(X0,X2) != X1 )
| ( $product(X0,X3) != X1 )
| ( X2 = X3 ) ),
introduced(theory_axiom_154,[]) ).
tff(f24,plain,
5/8 != sK0,
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI297_1 : TPTP v8.1.2. Released v5.0.0.
% 0.15/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n020.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 18:13:58 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.nSx8Rejb2d/Vampire---4.8_26382
% 0.15/0.37 % (26634)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (26642)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.22/0.43 % (26641)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 % (26644)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)
% 0.22/0.43 % (26645)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)
% 0.22/0.43 % (26639)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)
% 0.22/0.43 % (26640)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)
% 0.22/0.44 % (26643)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)
% 0.22/0.45 % (26645)First to succeed.
% 0.22/0.45 % (26645)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for Vampire---4
% 0.22/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.45 % (26645)------------------------------
% 0.22/0.45 % (26645)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 % (26645)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (26645)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (26645)Memory used [KB]: 1407
% 0.22/0.45 % (26645)Time elapsed: 0.022 s
% 0.22/0.45 % (26645)------------------------------
% 0.22/0.45 % (26645)------------------------------
% 0.22/0.45 % (26634)Success in time 0.083 s
% 0.22/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------