TSTP Solution File: SWV843-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV843-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : Tue Apr 30 17:07:13 EDT 2024
% Result : Unsatisfiable 22.08s 3.58s
% Output : Refutation 22.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 26 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 15 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-4 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50605,plain,
$false,
inference(resolution,[],[f50592,f1028]) ).
fof(f1028,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).
fof(f50592,plain,
! [X0] : ~ class_Finite__Set_Ofinite_Ofinite(X0),
inference(resolution,[],[f50572,f974]) ).
fof(f974,axiom,
! [X0,X14] :
( c_Finite__Set_Ofinite(X14,X0)
| ~ class_Finite__Set_Ofinite_Ofinite(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite_0) ).
fof(f50572,plain,
! [X0] : ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0),
inference(resolution,[],[f50052,f942]) ).
fof(f942,axiom,
! [X48,X0,X42,X13] :
( c_Finite__Set_Ofinite(c_Set_Oimage(X48,X42,X0,X13),X13)
| ~ c_Finite__Set_Ofinite(X42,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
fof(f50052,plain,
! [X0] : ~ c_Finite__Set_Ofinite(c_Set_Oimage(c_HOL_Ouminus__class_Ouminus(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0,tc_nat),tc_nat),
inference(resolution,[],[f49991,f6362]) ).
fof(f6362,plain,
! [X2,X0,X1] : hBOOL(c_in(X0,c_Set_Oimage(c_HOL_Ouminus__class_Ouminus(tc_bool),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X2),X2)),
inference(superposition,[],[f768,f1125]) ).
fof(f1125,plain,
! [X0] : hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),X0)) = X0,
inference(resolution,[],[f525,f1027]) ).
fof(f1027,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
fof(f525,axiom,
! [X3,X0] :
( ~ class_Lattices_Oboolean__algebra(X0)
| hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X3)) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__compl_0) ).
fof(f768,axiom,
! [X28,X3,X0,X13] : hBOOL(c_in(hAPP(X28,X3),c_Set_Oimage(X28,c_Orderings_Otop__class_Otop(tc_fun(X13,tc_bool)),X13,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rangeI_0) ).
fof(f49991,plain,
! [X0] :
( ~ hBOOL(c_in(c_Suc(hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),X0)),X0,tc_nat))
| ~ c_Finite__Set_Ofinite(X0,tc_nat) ),
inference(subsumption_resolution,[],[f49919,f1016]) ).
fof(f1016,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
fof(f49919,plain,
! [X0] :
( ~ c_Finite__Set_Ofinite(X0,tc_nat)
| ~ hBOOL(c_in(c_Suc(hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),X0)),X0,tc_nat))
| ~ class_Orderings_Olinorder(tc_nat) ),
inference(resolution,[],[f704,f244]) ).
fof(f244,axiom,
! [X21] : ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(X21)),X21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__n__not__le__n_0) ).
fof(f704,axiom,
! [X3,X0,X14] :
( hBOOL(hAPP(hAPP(c_lessequals(X0),X3),hAPP(c_Finite__Set_Olinorder__class_OMax(X0),X14)))
| ~ c_Finite__Set_Ofinite(X14,X0)
| ~ hBOOL(c_in(X3,X14,X0))
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__ge_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV843-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n013.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 : Tue Apr 30 04:34:34 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (24756)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (24759)WARNING: value z3 for option sas not known
% 0.21/0.44 % (24757)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.44 % (24758)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.44 % (24760)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.44 % (24759)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.44 % (24761)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.44 % (24762)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.44 % (24763)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 1.90/0.71 TRYING [1]
% 2.34/0.75 TRYING [2]
% 4.46/1.07 TRYING [1]
% 4.77/1.10 TRYING [2]
% 5.98/1.26 TRYING [3]
% 6.74/1.41 TRYING [1]
% 7.60/1.52 TRYING [2]
% 8.10/1.62 TRYING [3]
% 21.94/3.53 TRYING [3]
% 22.08/3.57 % (24759)First to succeed.
% 22.08/3.58 % (24759)Refutation found. Thanks to Tanya!
% 22.08/3.58 % SZS status Unsatisfiable for theBenchmark
% 22.08/3.58 % SZS output start Proof for theBenchmark
% See solution above
% 22.08/3.58 % (24759)------------------------------
% 22.08/3.58 % (24759)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 22.08/3.58 % (24759)Termination reason: Refutation
% 22.08/3.58
% 22.08/3.58 % (24759)Memory used [KB]: 64116
% 22.08/3.58 % (24759)Time elapsed: 3.129 s
% 22.08/3.58 % (24759)Instructions burned: 8695 (million)
% 22.08/3.58 % (24759)------------------------------
% 22.08/3.58 % (24759)------------------------------
% 22.08/3.58 % (24756)Success in time 3.204 s
%------------------------------------------------------------------------------