TSTP Solution File: NUM895_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM895_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 : n024.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 12:16:29 EDT 2023
% Result : Theorem 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 11 unt; 3 typ; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 74 ( 0 atm; 45 fun; 2 num; 27 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 : 7 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 27 (; 21 !; 6 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(func_def_7,type,
sK2: $int ).
tff(f684,plain,
$false,
inference(subsumption_resolution,[],[f651,f20]) ).
tff(f20,plain,
sK1 != $sum(sK2,$uminus(sK0)),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( sK1 != $sum(sK2,$uminus(sK0)) )
& ( sK2 = $sum(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X2,$uminus(X0)) != X1 )
& ( $sum(X0,X1) = X2 ) )
=> ( ( sK1 != $sum(sK2,$uminus(sK0)) )
& ( sK2 = $sum(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int,X1: $int,X2: $int] :
( ( $sum(X2,$uminus(X0)) != X1 )
& ( $sum(X0,X1) = X2 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $sum(X2,$uminus(X0)) = X1 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $difference(X2,X0) = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,X1) = X2 )
=> ( $difference(X2,X0) = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.IOGmaUBSXG/Vampire---4.8_2736',sum_difference) ).
tff(f651,plain,
sK1 = $sum(sK2,$uminus(sK0)),
inference(superposition,[],[f486,f535]) ).
tff(f535,plain,
! [X0: $int] : ( $sum(sK2,X0) = $sum(sK0,$sum(X0,sK1)) ),
inference(superposition,[],[f466,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f466,plain,
! [X17: $int] : ( $sum(sK0,$sum(sK1,X17)) = $sum(sK2,X17) ),
inference(superposition,[],[f5,f19]) ).
tff(f19,plain,
sK2 = $sum(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_139,[]) ).
tff(f486,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(evaluation,[],[f461]) ).
tff(f461,plain,
! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = $sum(0,X3) ),
inference(superposition,[],[f5,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_143,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM895_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 13:13:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TF0_THM_EQU_ARI problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.IOGmaUBSXG/Vampire---4.8_2736
% 0.14/0.36 % (2843)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (2844)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)
% 0.14/0.39 % (2850)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)
% 0.20/0.40 % (2850)First to succeed.
% 0.20/0.40 % (2850)Refutation found. Thanks to Tanya!
% 0.20/0.40 % SZS status Theorem for Vampire---4
% 0.20/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.40 % (2850)------------------------------
% 0.20/0.40 % (2850)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.40 % (2850)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.40 % (2850)Termination reason: Refutation
% 0.20/0.40
% 0.20/0.40 % (2850)Memory used [KB]: 1279
% 0.20/0.40 % (2850)Time elapsed: 0.010 s
% 0.20/0.40 % (2850)------------------------------
% 0.20/0.40 % (2850)------------------------------
% 0.20/0.40 % (2843)Success in time 0.043 s
% 0.20/0.40 % Vampire---4.8 exiting
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