TSTP Solution File: NUM905_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM905_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : 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 : Wed Aug 31 18:02:50 EDT 2022
% Result : Theorem 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 50 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 128 ( 39 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 141 ( 62 ~; 67 |; 4 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 131 ( 35 atm; 30 fun; 41 num; 25 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 22 !; 3 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $rat ).
tff(f205,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f29,f32,f116,f139,f166,f204]) ).
tff(f204,plain,
( ~ spl1_1
| ~ spl1_3
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f203]) ).
tff(f203,plain,
( $false
| ~ spl1_1
| ~ spl1_3
| ~ spl1_4 ),
inference(subsumption_resolution,[],[f199,f110]) ).
tff(f110,plain,
( $less(0/1,sK0)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f109]) ).
tff(f109,plain,
( spl1_3
<=> $less(0/1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f199,plain,
( ~ $less(0/1,sK0)
| ~ spl1_1
| ~ spl1_4 ),
inference(resolution,[],[f163,f115]) ).
tff(f115,plain,
( $less(sK0,0/1)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f113]) ).
tff(f113,plain,
( spl1_4
<=> $less(sK0,0/1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f163,plain,
( ! [X2: $rat] :
( ~ $less(sK0,X2)
| ~ $less(X2,sK0) )
| ~ spl1_1 ),
inference(evaluation,[],[f156]) ).
tff(f156,plain,
( ! [X2: $rat] :
( ~ $less(sK0,X2)
| ~ $less(X2,sK0)
| $less(0/1,0/1) )
| ~ spl1_1 ),
inference(resolution,[],[f46,f37]) ).
tff(f37,plain,
( ! [X2: $rat] :
( $less(0/1,$sum(X2,sK0))
| ~ $less(sK0,X2) )
| ~ spl1_1 ),
inference(superposition,[],[f11,f33]) ).
tff(f33,plain,
( ( 0/1 = $sum(sK0,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f7,f23]) ).
tff(f23,plain,
( ( $uminus(sK0) = sK0 )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f21]) ).
tff(f21,plain,
( spl1_1
<=> ( $uminus(sK0) = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f11,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f46,plain,
( ! [X0: $rat,X1: $rat] :
( ~ $less(X1,$sum(X0,sK0))
| $less(X1,0/1)
| ~ $less(X0,sK0) )
| ~ spl1_1 ),
inference(resolution,[],[f36,f9]) ).
tff(f9,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f36,plain,
( ! [X1: $rat] :
( $less($sum(X1,sK0),0/1)
| ~ $less(X1,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f11,f33]) ).
tff(f166,plain,
( ~ spl1_4
| spl1_3
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f86,f21,f109,f113]) ).
tff(f86,plain,
( $less(0/1,sK0)
| ~ $less(sK0,0/1)
| ~ spl1_1 ),
inference(superposition,[],[f53,f5]) ).
tff(f5,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f53,plain,
( ! [X0: $rat] :
( $less(0/1,$sum(sK0,X0))
| ~ $less(sK0,X0) )
| ~ spl1_1 ),
inference(superposition,[],[f37,f3]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f139,plain,
( spl1_4
| spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f138,f109,f25,f113]) ).
tff(f25,plain,
( spl1_2
<=> ( 0/1 = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f138,plain,
( $less(sK0,0/1)
| spl1_2
| spl1_3 ),
inference(subsumption_resolution,[],[f137,f26]) ).
tff(f26,plain,
( ( 0/1 != sK0 )
| spl1_2 ),
inference(avatar_component_clause,[],[f25]) ).
tff(f137,plain,
( ( 0/1 = sK0 )
| $less(sK0,0/1)
| spl1_3 ),
inference(resolution,[],[f111,f10]) ).
tff(f10,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,X0)
| ( X0 = X1 )
| $less(X0,X1) ),
introduced(theory_axiom_149,[]) ).
tff(f111,plain,
( ~ $less(0/1,sK0)
| spl1_3 ),
inference(avatar_component_clause,[],[f109]) ).
tff(f116,plain,
( ~ spl1_3
| spl1_4
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f75,f21,f113,f109]) ).
tff(f75,plain,
( $less(sK0,0/1)
| ~ $less(0/1,sK0)
| ~ spl1_1 ),
inference(superposition,[],[f48,f5]) ).
tff(f48,plain,
( ! [X1: $rat] :
( $less($sum(sK0,X1),0/1)
| ~ $less(X1,sK0) )
| ~ spl1_1 ),
inference(superposition,[],[f36,f3]) ).
tff(f32,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_contradiction_clause,[],[f31]) ).
tff(f31,plain,
( $false
| spl1_1
| ~ spl1_2 ),
inference(evaluation,[],[f30]) ).
tff(f30,plain,
( ( 0/1 != $uminus(0/1) )
| spl1_1
| ~ spl1_2 ),
inference(superposition,[],[f22,f27]) ).
tff(f27,plain,
( ( 0/1 = sK0 )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f25]) ).
tff(f22,plain,
( ( $uminus(sK0) != sK0 )
| spl1_1 ),
inference(avatar_component_clause,[],[f21]) ).
tff(f29,plain,
( ~ spl1_2
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f19,f21,f25]) ).
tff(f19,plain,
( ( $uminus(sK0) != sK0 )
| ( 0/1 != sK0 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( ( $uminus(sK0) != sK0 )
| ( 0/1 != sK0 ) )
& ( ( $uminus(sK0) = sK0 )
| ( 0/1 = sK0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $rat] :
( ( ( $uminus(X0) != X0 )
| ( 0/1 != X0 ) )
& ( ( $uminus(X0) = X0 )
| ( 0/1 = X0 ) ) )
=> ( ( ( $uminus(sK0) != sK0 )
| ( 0/1 != sK0 ) )
& ( ( $uminus(sK0) = sK0 )
| ( 0/1 = sK0 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $rat] :
( ( ( $uminus(X0) != X0 )
| ( 0/1 != X0 ) )
& ( ( $uminus(X0) = X0 )
| ( 0/1 = X0 ) ) ),
inference(nnf_transformation,[],[f14]) ).
tff(f14,plain,
? [X0: $rat] :
( ( 0/1 = X0 )
<~> ( $uminus(X0) = X0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $uminus(X0) = X0 )
<=> ( 0/1 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $uminus(X0) = X0 )
<=> ( 0/1 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_uminus_problem_9) ).
tff(f28,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f18,f25,f21]) ).
tff(f18,plain,
( ( 0/1 = sK0 )
| ( $uminus(sK0) = sK0 ) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM905=1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.33 % Computer : n013.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Aug 30 09:11:02 EDT 2022
% 0.15/0.34 % CPUTime :
% 0.15/0.48 % (13115)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.15/0.49 % (13099)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 0.15/0.49 % (13100)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/26Mi)
% 0.15/0.49 % (13098)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.15/0.50 % (13107)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.50 % (13116)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/47Mi)
% 0.15/0.50 % (13106)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.15/0.50 % (13114)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.15/0.50 % (13099)First to succeed.
% 0.15/0.51 % (13108)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.51 % (13108)Instruction limit reached!
% 0.15/0.51 % (13108)------------------------------
% 0.15/0.51 % (13108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (13108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (13108)Termination reason: Unknown
% 0.15/0.51 % (13108)Termination phase: Saturation
% 0.15/0.51
% 0.15/0.51 % (13108)Memory used [KB]: 895
% 0.15/0.51 % (13108)Time elapsed: 0.004 s
% 0.15/0.51 % (13108)Instructions burned: 2 (million)
% 0.15/0.51 % (13108)------------------------------
% 0.15/0.51 % (13108)------------------------------
% 0.15/0.51 % (13099)Refutation found. Thanks to Tanya!
% 0.15/0.51 % SZS status Theorem for theBenchmark
% 0.15/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.51 % (13099)------------------------------
% 0.15/0.51 % (13099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (13099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (13099)Termination reason: Refutation
% 0.15/0.51
% 0.15/0.51 % (13099)Memory used [KB]: 5628
% 0.15/0.51 % (13099)Time elapsed: 0.111 s
% 0.15/0.51 % (13099)Instructions burned: 8 (million)
% 0.15/0.51 % (13099)------------------------------
% 0.15/0.51 % (13099)------------------------------
% 0.15/0.51 % (13091)Success in time 0.169 s
%------------------------------------------------------------------------------