TSTP Solution File: SWV281-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV281-2 : 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 : n005.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 18:44:50 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 41 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 21 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,plain,
$false,
inference(avatar_sat_refutation,[],[f23,f25,f83]) ).
fof(f83,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f82,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f39,f19]) ).
fof(f19,plain,
( ! [X8,X6] : X6 = X8
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl0_1
<=> ! [X6,X8] : X6 = X8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f39,plain,
( ! [X3] : c_List_Olist_ONil != X3
| ~ spl0_1 ),
inference(superposition,[],[f2,f19]) ).
fof(f2,axiom,
! [X2,X3,X4] : c_List_Olist_ONil != c_List_Olist_OCons(X2,X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__1_0) ).
fof(f25,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f24]) ).
fof(f24,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f22,f3]) ).
fof(f3,axiom,
! [X6,X5] : c_lessequals(X5,c_plus(X6,X5,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__add2_0) ).
fof(f22,plain,
( ! [X7] : ~ c_lessequals(v_sko__urX(v_evs_H),X7,tc_nat)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl0_2
<=> ! [X7] : ~ c_lessequals(v_sko__urX(v_evs_H),X7,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f23,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f21,f18]) ).
fof(f16,plain,
! [X8,X6,X7] :
( ~ c_lessequals(v_sko__urX(v_evs_H),X7,tc_nat)
| X6 = X8 ),
inference(subsumption_resolution,[],[f15,f9]) ).
fof(f9,plain,
! [X0,X1] :
( c_plus(X1,v_sko__urX(v_evs),tc_nat) = X0
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(resolution,[],[f8,f3]) ).
fof(f8,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs),X1,tc_nat)
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| X0 = X1 ),
inference(resolution,[],[f7,f6]) ).
fof(f6,axiom,
! [X0,X9] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X9),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(X9),X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
fof(f7,plain,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat)
| X0 = X1 ),
inference(resolution,[],[f1,f6]) ).
fof(f1,axiom,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X0 = X1
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f15,plain,
! [X8,X6,X7] :
( c_plus(X8,v_sko__urX(v_evs),tc_nat) != X7
| ~ c_lessequals(v_sko__urX(v_evs_H),X7,tc_nat)
| X6 = X8 ),
inference(superposition,[],[f4,f9]) ).
fof(f4,axiom,
! [X6,X7,X5] :
( c_plus(X6,X7,tc_nat) != c_plus(X5,X7,tc_nat)
| X5 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onat__add__right__cancel_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV281-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:12:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % (23969)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.55 % (23973)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (23965)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.56 % (23973)First to succeed.
% 0.20/0.56 % (23969)Also succeeded, but the first one will report.
% 0.20/0.56 % (23973)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (23973)------------------------------
% 0.20/0.56 % (23973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (23973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (23973)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (23973)Memory used [KB]: 5884
% 0.20/0.56 % (23973)Time elapsed: 0.136 s
% 0.20/0.56 % (23973)Instructions burned: 2 (million)
% 0.20/0.56 % (23973)------------------------------
% 0.20/0.56 % (23973)------------------------------
% 0.20/0.56 % (23963)Success in time 0.212 s
%------------------------------------------------------------------------------