TSTP Solution File: SWV283-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV283-2 : 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_sat --cores 0 -t %d %s
% Computer : n029.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 18:56:09 EDT 2022
% Result : Unsatisfiable 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 5 unt; 0 def)
% Number of atoms : 65 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 31 ~; 32 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f69,plain,
$false,
inference(avatar_sat_refutation,[],[f16,f20,f68]) ).
fof(f68,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| ~ spl4_1
| ~ spl4_2 ),
inference(resolution,[],[f61,f37]) ).
fof(f37,plain,
( ! [X0,X1] : ~ c_in(sF0(c_plus(c_plus(v_x,X0,tc_nat),X1,tc_nat)),sF1,tc_Message_Omsg)
| ~ spl4_1 ),
inference(resolution,[],[f29,f21]) ).
fof(f21,plain,
! [X0] :
( ~ c_lessequals(v_x,v_xd(X0),tc_nat)
| ~ c_in(sF0(X0),sF1,tc_Message_Omsg) ),
inference(superposition,[],[f12,f7]) ).
fof(f7,plain,
! [X6] : c_Message_Omsg_ONonce(v_xd(X6)) = sF0(X6),
introduced(function_definition,[]) ).
fof(f12,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),sF1,tc_Message_Omsg)
| ~ c_lessequals(v_x,X0,tc_nat) ),
inference(definition_folding,[],[f4,f8]) ).
fof(f8,plain,
c_Event_Oused(v_list) = sF1,
introduced(function_definition,[]) ).
fof(f4,axiom,
! [X0] :
( ~ c_lessequals(v_x,X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f29,plain,
( ! [X2,X3,X1] : c_lessequals(X1,v_xd(c_plus(c_plus(X1,X2,tc_nat),X3,tc_nat)),tc_nat)
| ~ spl4_1 ),
inference(resolution,[],[f26,f3]) ).
fof(f3,axiom,
! [X2,X3,X4] :
( ~ c_lessequals(c_plus(X2,X3,tc_nat),X4,tc_nat)
| c_lessequals(X2,X4,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
fof(f26,plain,
( ! [X0,X1] : c_lessequals(X0,v_xd(c_plus(X0,X1,tc_nat)),tc_nat)
| ~ spl4_1 ),
inference(resolution,[],[f3,f15]) ).
fof(f15,plain,
( ! [X0] : c_lessequals(X0,v_xd(X0),tc_nat)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl4_1
<=> ! [X0] : c_lessequals(X0,v_xd(X0),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f61,plain,
( ! [X0] : c_in(sF0(c_plus(X0,v_sko__upX(v_xc),tc_nat)),sF1,tc_Message_Omsg)
| ~ spl4_1
| ~ spl4_2 ),
inference(resolution,[],[f57,f19]) ).
fof(f19,plain,
( ! [X0] :
( c_in(sF0(X0),sF3,tc_Message_Omsg)
| c_in(sF0(X0),sF1,tc_Message_Omsg) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl4_2
<=> ! [X0] :
( c_in(sF0(X0),sF1,tc_Message_Omsg)
| c_in(sF0(X0),sF3,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f57,plain,
( ! [X0] : ~ c_in(sF0(c_plus(X0,v_sko__upX(v_xc),tc_nat)),sF3,tc_Message_Omsg)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f47,f7]) ).
fof(f47,plain,
( ! [X0] : ~ c_in(c_Message_Omsg_ONonce(v_xd(c_plus(X0,v_sko__upX(v_xc),tc_nat))),sF3,tc_Message_Omsg)
| ~ spl4_1 ),
inference(resolution,[],[f45,f23]) ).
fof(f23,plain,
( ! [X0,X1] : c_lessequals(X0,v_xd(c_plus(X1,X0,tc_nat)),tc_nat)
| ~ spl4_1 ),
inference(resolution,[],[f2,f15]) ).
fof(f2,axiom,
! [X2,X3,X4] :
( ~ c_lessequals(c_plus(X2,X3,tc_nat),X4,tc_nat)
| c_lessequals(X3,X4,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
fof(f45,plain,
! [X0] :
( ~ c_lessequals(v_sko__upX(v_xc),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),sF3,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f44,f10]) ).
fof(f10,plain,
c_Message_Oparts(sF2) = sF3,
introduced(function_definition,[]) ).
fof(f44,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(sF2),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(v_xc),X0,tc_nat) ),
inference(superposition,[],[f1,f9]) ).
fof(f9,plain,
c_insert(v_xc,c_emptyset,tc_Message_Omsg) = sF2,
introduced(function_definition,[]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(X1),X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
fof(f20,plain,
( spl4_2
| spl4_2 ),
inference(avatar_split_clause,[],[f11,f18,f18]) ).
fof(f11,plain,
! [X0,X6] :
( c_in(sF0(X6),sF3,tc_Message_Omsg)
| c_in(sF0(X0),sF1,tc_Message_Omsg)
| c_in(sF0(X6),sF1,tc_Message_Omsg)
| c_in(sF0(X0),sF3,tc_Message_Omsg) ),
inference(definition_folding,[],[f6,f8,f7,f10,f9,f7,f10,f9,f7,f8,f7]) ).
fof(f6,axiom,
! [X0,X6] :
( c_in(c_Message_Omsg_ONonce(v_xd(X6)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X6)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f16,plain,
( spl4_1
| spl4_1 ),
inference(avatar_split_clause,[],[f5,f14,f14]) ).
fof(f5,axiom,
! [X0,X5] :
( c_lessequals(X5,v_xd(X5),tc_nat)
| c_lessequals(X0,v_xd(X0),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV283-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n029.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 19:22:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.53 % (15073)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [3]
% 0.20/0.54 TRYING [4]
% 0.20/0.54 % (15081)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (15081)Instruction limit reached!
% 0.20/0.55 % (15081)------------------------------
% 0.20/0.55 % (15081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (15081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (15081)Termination reason: Unknown
% 0.20/0.55 % (15081)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (15081)Memory used [KB]: 5373
% 0.20/0.55 % (15081)Time elapsed: 0.092 s
% 0.20/0.55 % (15081)Instructions burned: 2 (million)
% 0.20/0.55 % (15081)------------------------------
% 0.20/0.55 % (15081)------------------------------
% 0.20/0.56 % (15074)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (15074)Refutation not found, incomplete strategy% (15074)------------------------------
% 0.20/0.56 % (15074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (15074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (15074)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (15074)Memory used [KB]: 5373
% 0.20/0.56 % (15074)Time elapsed: 0.148 s
% 0.20/0.56 % (15074)Instructions burned: 1 (million)
% 0.20/0.56 % (15074)------------------------------
% 0.20/0.56 % (15074)------------------------------
% 0.20/0.57 TRYING [5]
% 0.20/0.57 % (15085)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.58 % (15090)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.58 TRYING [1]
% 0.20/0.58 TRYING [2]
% 0.20/0.58 % (15098)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.59 % (15096)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)
% 0.20/0.59 % (15098)First to succeed.
% 0.20/0.59 % (15098)Refutation found. Thanks to Tanya!
% 0.20/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59 % (15098)------------------------------
% 0.20/0.59 % (15098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (15098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (15098)Termination reason: Refutation
% 0.20/0.59
% 0.20/0.59 % (15098)Memory used [KB]: 5500
% 0.20/0.59 % (15098)Time elapsed: 0.149 s
% 0.20/0.59 % (15098)Instructions burned: 3 (million)
% 0.20/0.59 % (15098)------------------------------
% 0.20/0.59 % (15098)------------------------------
% 0.20/0.59 % (15072)Success in time 0.239 s
%------------------------------------------------------------------------------