TSTP Solution File: RNG045+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG045+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n016.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 18:14:34 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 15 unt; 0 def)
% Number of atoms : 102 ( 22 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 102 ( 42 ~; 41 |; 12 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f565,plain,
$false,
inference(avatar_sat_refutation,[],[f152,f164,f303,f507,f552,f564]) ).
fof(f564,plain,
spl1_36,
inference(avatar_contradiction_clause,[],[f563]) ).
fof(f563,plain,
( $false
| spl1_36 ),
inference(resolution,[],[f506,f52]) ).
fof(f52,plain,
aScalar0(xy),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( aScalar0(xy)
& aScalar0(xu)
& aScalar0(xx)
& aScalar0(xv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__674) ).
fof(f506,plain,
( ~ aScalar0(xy)
| spl1_36 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f504,plain,
( spl1_36
<=> aScalar0(xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_36])]) ).
fof(f552,plain,
( ~ spl1_14
| ~ spl1_8
| ~ spl1_13
| spl1_35 ),
inference(avatar_split_clause,[],[f551,f500,f155,f122,f159]) ).
fof(f159,plain,
( spl1_14
<=> aScalar0(xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
fof(f122,plain,
( spl1_8
<=> aScalar0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
fof(f155,plain,
( spl1_13
<=> aScalar0(xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
fof(f500,plain,
( spl1_35
<=> sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_35])]) ).
fof(f551,plain,
( ~ aScalar0(xu)
| ~ aScalar0(xx)
| ~ aScalar0(xv)
| spl1_35 ),
inference(trivial_inequality_removal,[],[f550]) ).
fof(f550,plain,
( ~ aScalar0(xv)
| ~ aScalar0(xx)
| sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))
| ~ aScalar0(xu)
| spl1_35 ),
inference(forward_demodulation,[],[f541,f70]) ).
fof(f70,plain,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__733) ).
fof(f541,plain,
( ~ aScalar0(xv)
| ~ aScalar0(xx)
| ~ aScalar0(xu)
| sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))
| spl1_35 ),
inference(superposition,[],[f502,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ( sdtasdt0(X0,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))
& sdtasdt0(sdtpldt0(X0,X2),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1)) ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(X1,sdtpldt0(X2,X0)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X0))
& sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) = sdtasdt0(sdtpldt0(X1,X2),X0) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ( sdtasdt0(X1,sdtpldt0(X2,X0)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X0))
& sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) = sdtasdt0(sdtpldt0(X1,X2),X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X0)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X0))
& sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) = sdtasdt0(sdtpldt0(X1,X2),X0) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ( aScalar0(X2)
& aScalar0(X0)
& aScalar0(X1) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr) ).
fof(f502,plain,
( sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))
| spl1_35 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f507,plain,
( ~ spl1_13
| ~ spl1_14
| ~ spl1_35
| ~ spl1_36 ),
inference(avatar_split_clause,[],[f481,f504,f500,f159,f155]) ).
fof(f481,plain,
( ~ aScalar0(xy)
| sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ aScalar0(xv)
| ~ aScalar0(xu) ),
inference(superposition,[],[f57,f73]) ).
fof(f57,plain,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(flattening,[],[f19]) ).
fof(f19,negated_conjecture,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f303,plain,
spl1_14,
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| spl1_14 ),
inference(resolution,[],[f161,f49]) ).
fof(f49,plain,
aScalar0(xv),
inference(cnf_transformation,[],[f16]) ).
fof(f161,plain,
( ~ aScalar0(xv)
| spl1_14 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f164,plain,
spl1_13,
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| spl1_13 ),
inference(resolution,[],[f157,f51]) ).
fof(f51,plain,
aScalar0(xu),
inference(cnf_transformation,[],[f16]) ).
fof(f157,plain,
( ~ aScalar0(xu)
| spl1_13 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f152,plain,
spl1_8,
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f151,plain,
( $false
| spl1_8 ),
inference(resolution,[],[f124,f50]) ).
fof(f50,plain,
aScalar0(xx),
inference(cnf_transformation,[],[f16]) ).
fof(f124,plain,
( ~ aScalar0(xx)
| spl1_8 ),
inference(avatar_component_clause,[],[f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG045+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 12:18:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (2819)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.48 % (2812)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.49 % (2826)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (2820)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.49 % (2826)Instruction limit reached!
% 0.19/0.49 % (2826)------------------------------
% 0.19/0.49 % (2826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (2826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (2826)Termination reason: Unknown
% 0.19/0.49 % (2826)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (2826)Memory used [KB]: 6140
% 0.19/0.49 % (2826)Time elapsed: 0.114 s
% 0.19/0.49 % (2826)Instructions burned: 8 (million)
% 0.19/0.49 % (2826)------------------------------
% 0.19/0.49 % (2826)------------------------------
% 0.19/0.50 % (2818)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50 % (2833)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50 % (2825)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (2814)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (2813)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (2828)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (2813)Instruction limit reached!
% 0.19/0.50 % (2813)------------------------------
% 0.19/0.50 % (2813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (2813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (2813)Termination reason: Unknown
% 0.19/0.50 % (2813)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (2813)Memory used [KB]: 5884
% 0.19/0.50 % (2813)Time elapsed: 0.116 s
% 0.19/0.50 % (2813)Instructions burned: 3 (million)
% 0.19/0.50 % (2813)------------------------------
% 0.19/0.50 % (2813)------------------------------
% 0.19/0.50 % (2825)Instruction limit reached!
% 0.19/0.50 % (2825)------------------------------
% 0.19/0.50 % (2825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (2837)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (2825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (2825)Termination reason: Unknown
% 0.19/0.50 % (2825)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (2825)Memory used [KB]: 5884
% 0.19/0.50 % (2825)Time elapsed: 0.005 s
% 0.19/0.50 % (2825)Instructions burned: 3 (million)
% 0.19/0.50 % (2825)------------------------------
% 0.19/0.50 % (2825)------------------------------
% 0.19/0.51 % (2817)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (2815)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (2834)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51 % (2822)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (2840)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.51 % (2828)Instruction limit reached!
% 0.19/0.51 % (2828)------------------------------
% 0.19/0.51 % (2828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (2833)First to succeed.
% 0.19/0.51 % (2828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (2828)Termination reason: Unknown
% 0.19/0.51 % (2828)Termination phase: Finite model building preprocessing
% 0.19/0.51
% 0.19/0.51 % (2828)Memory used [KB]: 1407
% 0.19/0.51 % (2828)Time elapsed: 0.004 s
% 0.19/0.51 % (2828)Instructions burned: 4 (million)
% 0.19/0.51 % (2828)------------------------------
% 0.19/0.51 % (2828)------------------------------
% 0.19/0.51 % (2833)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (2833)------------------------------
% 0.19/0.51 % (2833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (2833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (2833)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (2833)Memory used [KB]: 6268
% 0.19/0.51 % (2833)Time elapsed: 0.081 s
% 0.19/0.51 % (2833)Instructions burned: 11 (million)
% 0.19/0.51 % (2833)------------------------------
% 0.19/0.51 % (2833)------------------------------
% 0.19/0.51 % (2810)Success in time 0.168 s
%------------------------------------------------------------------------------