TSTP Solution File: FLD023-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD023-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n010.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 16:05:31 EDT 2022
% Result : Unsatisfiable 0.14s 0.55s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 31 ~; 26 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,plain,
$false,
inference(avatar_sat_refutation,[],[f71,f74,f97,f103,f105]) ).
fof(f105,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f104]) ).
fof(f104,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f96,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f96,plain,
( ~ defined(a)
| spl0_5 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl0_5
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f103,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f98,f30]) ).
fof(f30,axiom,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_3) ).
fof(f98,plain,
( ~ equalish(a,b)
| spl0_4 ),
inference(resolution,[],[f92,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f92,plain,
( ~ equalish(b,a)
| spl0_4 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl0_4
<=> equalish(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f97,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f86,f69,f94,f90]) ).
fof(f69,plain,
( spl0_3
<=> ! [X0] :
( ~ equalish(add(X0,additive_inverse(a)),additive_identity)
| ~ equalish(b,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f86,plain,
( ~ defined(a)
| ~ equalish(b,a)
| ~ spl0_3 ),
inference(resolution,[],[f70,f3]) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f70,plain,
( ! [X0] :
( ~ equalish(add(X0,additive_inverse(a)),additive_identity)
| ~ equalish(b,X0) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f74,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f73,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f72,f28]) ).
fof(f72,plain,
( ~ defined(a)
| spl0_1 ),
inference(resolution,[],[f62,f12]) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f62,plain,
( ~ defined(additive_inverse(a))
| spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_1
<=> defined(additive_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f71,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f54,f60,f69]) ).
fof(f54,plain,
! [X0] :
( ~ defined(additive_inverse(a))
| ~ equalish(add(X0,additive_inverse(a)),additive_identity)
| ~ equalish(b,X0) ),
inference(resolution,[],[f43,f24]) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X2),add(X1,X2))
| ~ equalish(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f43,plain,
! [X0] :
( ~ equalish(add(b,additive_inverse(a)),X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f40,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f40,plain,
~ equalish(add(b,additive_inverse(a)),additive_identity),
inference(resolution,[],[f31,f22]) ).
fof(f31,axiom,
~ equalish(additive_identity,add(b,additive_inverse(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity_not_equal_to_add_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : FLD023-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.32 % Computer : n010.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Mon Aug 29 20:28:14 EDT 2022
% 0.09/0.32 % CPUTime :
% 0.14/0.48 % (21087)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.48 % (21079)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.49 % (21086)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.49 % (21087)Instruction limit reached!
% 0.14/0.49 % (21087)------------------------------
% 0.14/0.49 % (21087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (21078)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.49 % (21079)Instruction limit reached!
% 0.14/0.49 % (21079)------------------------------
% 0.14/0.49 % (21079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (21087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (21087)Termination reason: Unknown
% 0.14/0.49 % (21087)Termination phase: Saturation
% 0.14/0.49
% 0.14/0.49 % (21087)Memory used [KB]: 5756
% 0.14/0.49 % (21087)Time elapsed: 0.004 s
% 0.14/0.49 % (21087)Instructions burned: 2 (million)
% 0.14/0.49 % (21087)------------------------------
% 0.14/0.49 % (21087)------------------------------
% 0.14/0.49 TRYING [1]
% 0.14/0.49 % (21079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (21079)Termination reason: Unknown
% 0.14/0.49 % (21079)Termination phase: Saturation
% 0.14/0.49
% 0.14/0.49 % (21079)Memory used [KB]: 5884
% 0.14/0.49 % (21079)Time elapsed: 0.091 s
% 0.14/0.49 % (21079)Instructions burned: 3 (million)
% 0.14/0.49 % (21079)------------------------------
% 0.14/0.49 % (21079)------------------------------
% 0.14/0.49 % (21096)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.14/0.50 TRYING [2]
% 0.14/0.50 % (21086)Instruction limit reached!
% 0.14/0.50 % (21086)------------------------------
% 0.14/0.50 % (21086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (21086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (21086)Termination reason: Unknown
% 0.14/0.50 % (21086)Termination phase: Finite model building SAT solving
% 0.14/0.50
% 0.14/0.50 % (21086)Memory used [KB]: 6012
% 0.14/0.50 % (21086)Time elapsed: 0.109 s
% 0.14/0.50 % (21086)Instructions burned: 7 (million)
% 0.14/0.50 % (21086)------------------------------
% 0.14/0.50 % (21086)------------------------------
% 0.14/0.50 % (21095)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.14/0.51 % (21083)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.14/0.51 % (21071)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.14/0.52 % (21084)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.52 % (21080)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)
% 0.14/0.52 % (21085)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.14/0.53 % (21097)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.14/0.53 % (21073)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.53 % (21074)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.14/0.53 % (21075)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.14/0.53 % (21082)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.14/0.53 % (21081)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.53 % (21100)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.53 % (21077)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.14/0.54 % (21088)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.14/0.54 % (21083)Instruction limit reached!
% 0.14/0.54 % (21083)------------------------------
% 0.14/0.54 % (21083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.54 % (21083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.54 % (21083)Termination reason: Unknown
% 0.14/0.54 % (21083)Termination phase: Saturation
% 0.14/0.54
% 0.14/0.54 % (21083)Memory used [KB]: 5884
% 0.14/0.54 % (21083)Time elapsed: 0.151 s
% 0.14/0.54 % (21083)Instructions burned: 5 (million)
% 0.14/0.54 % (21083)------------------------------
% 0.14/0.54 % (21083)------------------------------
% 0.14/0.54 % (21076)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.14/0.54 % (21093)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.14/0.54 % (21099)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.14/0.54 % (21098)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.14/0.54 % (21084)Instruction limit reached!
% 0.14/0.54 % (21084)------------------------------
% 0.14/0.54 % (21084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.54 % (21084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.54 % (21084)Termination reason: Unknown
% 0.14/0.54 % (21084)Termination phase: Saturation
% 0.14/0.54
% 0.14/0.54 % (21084)Memory used [KB]: 5884
% 0.14/0.54 % (21084)Time elapsed: 0.140 s
% 0.14/0.54 % (21084)Instructions burned: 3 (million)
% 0.14/0.54 % (21084)------------------------------
% 0.14/0.54 % (21084)------------------------------
% 0.14/0.55 % (21089)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.14/0.55 % (21089)First to succeed.
% 0.14/0.55 % (21091)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.55 % (21089)Refutation found. Thanks to Tanya!
% 0.14/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.55 % (21089)------------------------------
% 0.14/0.55 % (21089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.55 % (21089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.55 % (21089)Termination reason: Refutation
% 0.14/0.55
% 0.14/0.55 % (21089)Memory used [KB]: 10362
% 0.14/0.55 % (21089)Time elapsed: 0.162 s
% 0.14/0.55 % (21089)Instructions burned: 2 (million)
% 0.14/0.55 % (21089)------------------------------
% 0.14/0.55 % (21089)------------------------------
% 0.14/0.55 % (21070)Success in time 0.224 s
%------------------------------------------------------------------------------