TSTP Solution File: ANA021-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA021-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Sun May 5 04:31:46 EDT 2024
% Result : Unsatisfiable 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 67 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 60 ( 23 ~; 30 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,plain,
$false,
inference(avatar_sat_refutation,[],[f10,f15,f19,f23,f27,f32,f37,f39]) ).
fof(f39,plain,
( spl0_1
| spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f38,f35,f12,f7]) ).
fof(f7,plain,
( spl0_1
<=> c_0 = v_x ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f12,plain,
( spl0_2
<=> c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f35,plain,
( spl0_7
<=> ! [X0] :
( c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_c,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a)
| c_0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f38,plain,
( c_0 = v_x
| spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f36,f14]) ).
fof(f14,plain,
( ~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f36,plain,
( ! [X0] :
( c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_c,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a)
| c_0 = X0 )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f37,plain,
( spl0_7
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f33,f30,f17,f35]) ).
fof(f17,plain,
( spl0_3
<=> ! [X2] : c_lessequals(c_HOL_Oabs(v_f(c_Suc(X2)),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_Suc(X2)),t_a),t_a),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f30,plain,
( spl0_6
<=> ! [X0] :
( c_Suc(c_minus(X0,c_1,tc_nat)) = X0
| c_0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f33,plain,
( ! [X0] :
( c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_c,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a)
| c_0 = X0 )
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f18,f31]) ).
fof(f31,plain,
( ! [X0] :
( c_Suc(c_minus(X0,c_1,tc_nat)) = X0
| c_0 = X0 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f18,plain,
( ! [X2] : c_lessequals(c_HOL_Oabs(v_f(c_Suc(X2)),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_Suc(X2)),t_a),t_a),t_a)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f32,plain,
( spl0_6
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f28,f25,f21,f30]) ).
fof(f21,plain,
( spl0_4
<=> ! [X1] :
( c_0 = X1
| c_less(c_0,X1,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f25,plain,
( spl0_5
<=> ! [X0] :
( ~ c_less(c_0,X0,tc_nat)
| c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f28,plain,
( ! [X0] :
( c_Suc(c_minus(X0,c_1,tc_nat)) = X0
| c_0 = X0 )
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f26,f22]) ).
fof(f22,plain,
( ! [X1] :
( c_less(c_0,X1,tc_nat)
| c_0 = X1 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f26,plain,
( ! [X0] :
( ~ c_less(c_0,X0,tc_nat)
| c_Suc(c_minus(X0,c_1,tc_nat)) = X0 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f27,plain,
spl0_5,
inference(avatar_split_clause,[],[f1,f25]) ).
fof(f1,axiom,
! [X0] :
( ~ c_less(c_0,X0,tc_nat)
| c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_OSuc__pred_H_0) ).
fof(f23,plain,
spl0_4,
inference(avatar_split_clause,[],[f2,f21]) ).
fof(f2,axiom,
! [X1] :
( c_0 = X1
| c_less(c_0,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).
fof(f19,plain,
spl0_3,
inference(avatar_split_clause,[],[f3,f17]) ).
fof(f3,axiom,
! [X2] : c_lessequals(c_HOL_Oabs(v_f(c_Suc(X2)),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_Suc(X2)),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f15,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f5,f12]) ).
fof(f5,axiom,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f10,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f4,f7]) ).
fof(f4,axiom,
c_0 != v_x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ANA021-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 15:29:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (17569)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (17572)WARNING: value z3 for option sas not known
% 0.12/0.35 % (17574)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)
% 0.12/0.35 % (17571)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (17575)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)
% 0.12/0.36 % (17572)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)
% 0.12/0.36 % (17573)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (17576)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)
% 0.12/0.36 % (17574)First to succeed.
% 0.12/0.36 % (17575)Also succeeded, but the first one will report.
% 0.12/0.36 % (17574)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17569"
% 0.12/0.36 % (17576)Also succeeded, but the first one will report.
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 % (17574)Refutation found. Thanks to Tanya!
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36 % (17574)------------------------------
% 0.12/0.36 % (17574)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (17574)Termination reason: Refutation
% 0.12/0.36
% 0.12/0.36 % (17574)Memory used [KB]: 755
% 0.12/0.36 % (17574)Time elapsed: 0.004 s
% 0.12/0.36 % (17574)Instructions burned: 3 (million)
% 0.12/0.36 % (17569)Success in time 0.017 s
%------------------------------------------------------------------------------