TSTP Solution File: NUM837+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM837+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 18:06:54 EDT 2022
% Result : Theorem 1.78s 0.59s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 28 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 10 ~; 7 |; 3 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 19 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f209,plain,
$false,
inference(subsumption_resolution,[],[f206,f121]) ).
fof(f121,plain,
! [X0] : vd269 != vplus(vd268,X0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : vd269 != vplus(vd268,X0),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] : vd269 = vplus(vd268,X0),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] : vd269 = vplus(vd268,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(171)') ).
fof(f206,plain,
vd269 = vplus(vd268,sK3(vd268,vd269)),
inference(resolution,[],[f137,f119]) ).
fof(f119,plain,
less(vd268,vd269),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
less(vd268,vd269),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(170), 270, 0)') ).
fof(f137,plain,
! [X0,X1] :
( ~ less(X0,X1)
| vplus(X0,sK3(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( vplus(X0,sK3(X0,X1)) = X1
| ~ less(X0,X1) )
& ( less(X0,X1)
| ! [X3] : vplus(X0,X3) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f97,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
=> vplus(X0,sK3(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X0,X2) = X1
| ~ less(X0,X1) )
& ( less(X0,X1)
| ! [X3] : vplus(X0,X3) != X1 ) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X1,X0] :
( ( ? [X2] : vplus(X1,X2) = X0
| ~ less(X1,X0) )
& ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ? [X2] : vplus(X1,X2) = X0
<=> less(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X15,X16] :
( ? [X17] : vplus(X16,X17) = X15
<=> less(X16,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM837+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 09:02:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (26393)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57 % (26392)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57 % (26406)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.57 % (26398)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.57 % (26385)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.58 % (26395)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.59 % (26385)First to succeed.
% 1.78/0.59 % (26385)Refutation found. Thanks to Tanya!
% 1.78/0.59 % SZS status Theorem for theBenchmark
% 1.78/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.78/0.59 % (26385)------------------------------
% 1.78/0.59 % (26385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59 % (26385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59 % (26385)Termination reason: Refutation
% 1.78/0.59
% 1.78/0.59 % (26385)Memory used [KB]: 1023
% 1.78/0.59 % (26385)Time elapsed: 0.161 s
% 1.78/0.59 % (26385)Instructions burned: 4 (million)
% 1.78/0.59 % (26385)------------------------------
% 1.78/0.59 % (26385)------------------------------
% 1.78/0.59 % (26382)Success in time 0.235 s
%------------------------------------------------------------------------------