TSTP Solution File: FLD018-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD018-1 : 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 : 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 16:05:29 EDT 2022
% Result : Unsatisfiable 1.27s 0.53s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 80 ( 40 ~; 35 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f473,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f66,f417,f429,f470,f472]) ).
fof(f472,plain,
spl0_36,
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f471,plain,
( $false
| spl0_36 ),
inference(resolution,[],[f428,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f428,plain,
( ~ defined(a)
| spl0_36 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f426,plain,
( spl0_36
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f470,plain,
spl0_35,
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f467,plain,
( $false
| spl0_35 ),
inference(resolution,[],[f431,f29]) ).
fof(f29,axiom,
equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_additive_identity_2) ).
fof(f431,plain,
( ~ equalish(a,additive_identity)
| spl0_35 ),
inference(resolution,[],[f424,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f424,plain,
( ~ equalish(additive_identity,a)
| spl0_35 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl0_35
<=> equalish(additive_identity,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f429,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f418,f415,f426,f422]) ).
fof(f415,plain,
( spl0_34
<=> ! [X0] :
( ~ equalish(additive_identity,X0)
| ~ equalish(add(X0,additive_inverse(a)),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f418,plain,
( ~ defined(a)
| ~ equalish(additive_identity,a)
| ~ spl0_34 ),
inference(resolution,[],[f416,f3]) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f416,plain,
( ! [X0] :
( ~ equalish(add(X0,additive_inverse(a)),additive_identity)
| ~ equalish(additive_identity,X0) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f417,plain,
( ~ spl0_2
| spl0_34
| spl0_1 ),
inference(avatar_split_clause,[],[f388,f51,f415,f55]) ).
fof(f55,plain,
( spl0_2
<=> defined(additive_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f51,plain,
( spl0_1
<=> equalish(add(additive_identity,additive_inverse(a)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f388,plain,
( ! [X0] :
( ~ equalish(additive_identity,X0)
| ~ equalish(add(X0,additive_inverse(a)),additive_identity)
| ~ defined(additive_inverse(a)) )
| spl0_1 ),
inference(resolution,[],[f24,f67]) ).
fof(f67,plain,
( ! [X0] :
( ~ equalish(add(additive_identity,additive_inverse(a)),X0)
| ~ equalish(X0,additive_identity) )
| spl0_1 ),
inference(resolution,[],[f53,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f53,plain,
( ~ equalish(add(additive_identity,additive_inverse(a)),additive_identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X2),add(X1,X2))
| ~ defined(X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f66,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f65]) ).
fof(f65,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f64,f28]) ).
fof(f64,plain,
( ~ defined(a)
| spl0_2 ),
inference(resolution,[],[f57,f12]) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f57,plain,
( ~ defined(additive_inverse(a))
| spl0_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f58,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f48,f55,f51]) ).
fof(f48,plain,
( ~ defined(additive_inverse(a))
| ~ equalish(add(additive_identity,additive_inverse(a)),additive_identity) ),
inference(resolution,[],[f41,f2]) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f41,plain,
! [X2] :
( ~ equalish(X2,additive_inverse(a))
| ~ equalish(X2,additive_identity) ),
inference(resolution,[],[f35,f22]) ).
fof(f35,plain,
! [X0] :
( ~ equalish(additive_inverse(a),X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f23,f30]) ).
fof(f30,axiom,
~ equalish(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_not_equal_to_additive_identity_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD018-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % 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 : n016.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 : Mon Aug 29 20:59:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (18901)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)
% 0.19/0.50 % (18901)Instruction limit reached!
% 0.19/0.50 % (18901)------------------------------
% 0.19/0.50 % (18901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (18896)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)
% 0.19/0.50 % (18894)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50 % (18892)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)
% 0.19/0.50 % (18901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (18901)Termination reason: Unknown
% 0.19/0.50 % (18901)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (18901)Memory used [KB]: 5884
% 0.19/0.50 % (18901)Time elapsed: 0.086 s
% 0.19/0.50 % (18901)Instructions burned: 5 (million)
% 0.19/0.50 % (18901)------------------------------
% 0.19/0.50 % (18901)------------------------------
% 0.19/0.50 % (18893)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)
% 0.19/0.50 % (18910)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)
% 0.19/0.51 % (18910)Instruction limit reached!
% 0.19/0.51 % (18910)------------------------------
% 0.19/0.51 % (18910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (18910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (18910)Termination reason: Unknown
% 0.19/0.51 % (18910)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (18910)Memory used [KB]: 1407
% 0.19/0.51 % (18910)Time elapsed: 0.097 s
% 0.19/0.51 % (18910)Instructions burned: 6 (million)
% 0.19/0.51 % (18910)------------------------------
% 0.19/0.51 % (18910)------------------------------
% 1.27/0.52 % (18889)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.27/0.52 % (18916)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)
% 1.27/0.52 % (18908)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.27/0.52 % (18905)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)
% 1.27/0.52 % (18890)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)
% 1.27/0.53 % (18891)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)
% 1.27/0.53 % (18894)First to succeed.
% 1.27/0.53 % (18891)Instruction limit reached!
% 1.27/0.53 % (18891)------------------------------
% 1.27/0.53 % (18891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.53 % (18891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.53 % (18891)Termination reason: Unknown
% 1.27/0.53 % (18891)Termination phase: Saturation
% 1.27/0.53
% 1.27/0.53 % (18891)Memory used [KB]: 6012
% 1.27/0.53 % (18891)Time elapsed: 0.128 s
% 1.27/0.53 % (18891)Instructions burned: 6 (million)
% 1.27/0.53 % (18891)------------------------------
% 1.27/0.53 % (18891)------------------------------
% 1.27/0.53 % (18894)Refutation found. Thanks to Tanya!
% 1.27/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.27/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.53 % (18894)------------------------------
% 1.27/0.53 % (18894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.53 % (18894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.53 % (18894)Termination reason: Refutation
% 1.27/0.53
% 1.27/0.53 % (18894)Memory used [KB]: 6012
% 1.27/0.53 % (18894)Time elapsed: 0.133 s
% 1.27/0.53 % (18894)Instructions burned: 10 (million)
% 1.27/0.53 % (18894)------------------------------
% 1.27/0.53 % (18894)------------------------------
% 1.27/0.53 % (18888)Success in time 0.176 s
%------------------------------------------------------------------------------