TSTP Solution File: SWV254-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV254-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n014.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 18:44:41 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 14 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,plain,
$false,
inference(subsumption_resolution,[],[f11,f3]) ).
fof(f3,axiom,
! [X3,X0,X4] : c_emptyset != c_insert(X3,X4,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__not__insert_0) ).
fof(f11,plain,
c_emptyset = c_insert(v_nat,c_emptyset,tc_nat),
inference(superposition,[],[f2,f9]) ).
fof(f9,plain,
! [X0] : c_emptyset = c_SetInterval_OatLeastLessThan(v_nat,X0,tc_nat),
inference(subsumption_resolution,[],[f8,f6]) ).
fof(f6,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f8,plain,
! [X0] :
( c_emptyset = c_SetInterval_OatLeastLessThan(v_nat,X0,tc_nat)
| ~ class_Orderings_Oorder(tc_nat) ),
inference(resolution,[],[f1,f7]) ).
fof(f7,plain,
! [X5] : c_lessequals(X5,v_nat,tc_nat),
inference(definition_unfolding,[],[f4,f5]) ).
fof(f5,axiom,
! [X5] : v_x(X5) = v_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f4,axiom,
! [X5] : c_lessequals(X5,v_x(X5),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X2,X0)
| c_SetInterval_OatLeastLessThan(X2,X1,X0) = c_emptyset
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeastLessThan__empty_0) ).
fof(f2,axiom,
! [X2] : c_SetInterval_OatLeastLessThan(X2,c_Suc(X2),tc_nat) = c_insert(X2,c_emptyset,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeastLessThan__singleton_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV254-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 19:10:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (29390)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.49 % (29398)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.18/0.50 % (29390)First to succeed.
% 0.18/0.50 % (29390)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (29390)------------------------------
% 0.18/0.50 % (29390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (29390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (29390)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (29390)Memory used [KB]: 1279
% 0.18/0.50 % (29390)Time elapsed: 0.105 s
% 0.18/0.50 % (29390)Instructions burned: 2 (million)
% 0.18/0.50 % (29390)------------------------------
% 0.18/0.50 % (29390)------------------------------
% 0.18/0.50 % (29383)Success in time 0.158 s
%------------------------------------------------------------------------------