TSTP Solution File: NUM877_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM877_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 : n008.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 12:16:24 EDT 2023
% Result : Theorem 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 16 unt; 4 typ; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 66 ( 0 atm; 36 fun; 12 num; 18 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 : 8 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 18 (; 14 !; 4 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(func_def_6,type,
sK1: $int ).
tff(func_def_7,type,
sF2: $int ).
tff(func_def_8,type,
sF3: $int ).
tff(f56,plain,
$false,
inference(subsumption_resolution,[],[f55,f20]) ).
tff(f20,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( sK0 != sK1 )
& ( 0 = $sum(sK0,$uminus(sK1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( 0 = $sum(X0,$uminus(X1)) ) )
=> ( ( sK0 != sK1 )
& ( 0 = $sum(sK0,$uminus(sK1)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( 0 = $sum(X0,$uminus(X1)) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int,X1: $int] :
( ( 0 = $sum(X0,$uminus(X1)) )
=> ( X0 = X1 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( ( $difference(X0,X1) = 0 )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( ( $difference(X0,X1) = 0 )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.4pxa9l7jHN/Vampire---4.8_4426',diff_identity) ).
tff(f55,plain,
sK0 = sK1,
inference(forward_demodulation,[],[f53,f27]) ).
tff(f27,plain,
sK1 = $uminus(sF2),
inference(superposition,[],[f14,f21]) ).
tff(f21,plain,
$uminus(sK1) = sF2,
introduced(function_definition,[]) ).
tff(f14,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_151,[]) ).
tff(f53,plain,
sK0 = $uminus(sF2),
inference(evaluation,[],[f49]) ).
tff(f49,plain,
$uminus(sF2) = $sum(sK0,0),
inference(superposition,[],[f39,f8]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_143,[]) ).
tff(f39,plain,
! [X0: $int] : ( $sum(sK0,$sum(sF2,X0)) = X0 ),
inference(evaluation,[],[f38]) ).
tff(f38,plain,
! [X0: $int] : ( $sum(sK0,$sum(sF2,X0)) = $sum(0,X0) ),
inference(forward_demodulation,[],[f35,f23]) ).
tff(f23,plain,
0 = sF3,
inference(definition_folding,[],[f19,f22,f21]) ).
tff(f22,plain,
$sum(sK0,sF2) = sF3,
introduced(function_definition,[]) ).
tff(f19,plain,
0 = $sum(sK0,$uminus(sK1)),
inference(cnf_transformation,[],[f18]) ).
tff(f35,plain,
! [X0: $int] : ( $sum(sK0,$sum(sF2,X0)) = $sum(sF3,X0) ),
inference(superposition,[],[f5,f22]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_139,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM877_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n008.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 11:17:32 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/sandbox2/tmp/tmp.4pxa9l7jHN/Vampire---4.8_4426
% 0.14/0.36 % (4537)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.40 % (4538)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)
% 0.21/0.40 % (4538)First to succeed.
% 0.21/0.40 % (4538)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Theorem for Vampire---4
% 0.21/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.40 % (4538)------------------------------
% 0.21/0.40 % (4538)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.40 % (4538)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.40 % (4538)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (4538)Memory used [KB]: 5500
% 0.21/0.40 % (4538)Time elapsed: 0.003 s
% 0.21/0.40 % (4538)------------------------------
% 0.21/0.40 % (4538)------------------------------
% 0.21/0.40 % (4537)Success in time 0.039 s
% 0.21/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------