TSTP Solution File: FLD019-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD019-1 : 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 : n001.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 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 39 ( 5 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 45 ~; 41 |; 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 : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f855,plain,
$false,
inference(avatar_sat_refutation,[],[f63,f65,f798,f848,f852,f854]) ).
fof(f854,plain,
( ~ spl0_2
| spl0_66 ),
inference(avatar_split_clause,[],[f853,f845,f55]) ).
fof(f55,plain,
( spl0_2
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f845,plain,
( spl0_66
<=> defined(additive_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f853,plain,
( ~ defined(a)
| spl0_66 ),
inference(resolution,[],[f847,f12]) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f847,plain,
( ~ defined(additive_inverse(a))
| spl0_66 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f852,plain,
( ~ spl0_2
| spl0_65 ),
inference(avatar_split_clause,[],[f849,f841,f55]) ).
fof(f841,plain,
( spl0_65
<=> equalish(add(a,additive_inverse(a)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f849,plain,
( ~ defined(a)
| spl0_65 ),
inference(resolution,[],[f843,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(f843,plain,
( ~ equalish(add(a,additive_inverse(a)),additive_identity)
| spl0_65 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f848,plain,
( ~ spl0_2
| ~ spl0_65
| ~ spl0_66
| spl0_63 ),
inference(avatar_split_clause,[],[f836,f795,f845,f841,f55]) ).
fof(f795,plain,
( spl0_63
<=> equalish(add(additive_inverse(a),a),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f836,plain,
( ~ defined(additive_inverse(a))
| ~ equalish(add(a,additive_inverse(a)),additive_identity)
| ~ defined(a)
| spl0_63 ),
inference(resolution,[],[f804,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f804,plain,
( ! [X0] :
( ~ equalish(add(additive_inverse(a),a),X0)
| ~ equalish(X0,additive_identity) )
| spl0_63 ),
inference(resolution,[],[f797,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f797,plain,
( ~ equalish(add(additive_inverse(a),a),additive_identity)
| spl0_63 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f798,plain,
( ~ spl0_2
| ~ spl0_63
| spl0_3 ),
inference(avatar_split_clause,[],[f773,f60,f795,f55]) ).
fof(f60,plain,
( spl0_3
<=> equalish(add(additive_identity,a),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f773,plain,
( ~ equalish(add(additive_inverse(a),a),additive_identity)
| ~ defined(a)
| spl0_3 ),
inference(resolution,[],[f769,f81]) ).
fof(f81,plain,
( ! [X2] :
( ~ equalish(X2,add(additive_identity,a))
| ~ equalish(X2,additive_identity) )
| spl0_3 ),
inference(resolution,[],[f68,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f68,plain,
( ! [X0] :
( ~ equalish(add(additive_identity,a),X0)
| ~ equalish(X0,additive_identity) )
| spl0_3 ),
inference(resolution,[],[f62,f23]) ).
fof(f62,plain,
( ~ equalish(add(additive_identity,a),additive_identity)
| spl0_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f769,plain,
! [X16] :
( equalish(add(additive_inverse(a),X16),add(additive_identity,X16))
| ~ defined(X16) ),
inference(resolution,[],[f24,f29]) ).
fof(f29,axiom,
equalish(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_equals_additive_identity_2) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ defined(X2)
| equalish(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f65,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f57,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f57,plain,
( ~ defined(a)
| spl0_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f63,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f48,f55,f60]) ).
fof(f48,plain,
( ~ defined(a)
| ~ equalish(add(additive_identity,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,a)
| ~ equalish(X2,additive_identity) ),
inference(resolution,[],[f35,f22]) ).
fof(f35,plain,
! [X0] :
( ~ equalish(a,X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f23,f30]) ).
fof(f30,axiom,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : FLD019-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % 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 : n001.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 : Mon Aug 29 20:58:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (7624)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.46 % (7616)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)
% 0.18/0.47 TRYING [1]
% 0.18/0.47 TRYING [2]
% 0.18/0.48 % (7616)Instruction limit reached!
% 0.18/0.48 % (7616)------------------------------
% 0.18/0.48 % (7616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (7616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (7616)Termination reason: Unknown
% 0.18/0.48 % (7616)Termination phase: Finite model building SAT solving
% 0.18/0.48
% 0.18/0.48 % (7616)Memory used [KB]: 6012
% 0.18/0.48 % (7616)Time elapsed: 0.068 s
% 0.18/0.48 % (7616)Instructions burned: 6 (million)
% 0.18/0.48 % (7616)------------------------------
% 0.18/0.48 % (7616)------------------------------
% 0.18/0.48 % (7608)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)
% 0.18/0.48 % (7606)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.48 % (7614)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)
% 0.18/0.49 % (7614)Instruction limit reached!
% 0.18/0.49 % (7614)------------------------------
% 0.18/0.49 % (7614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (7630)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)
% 0.18/0.49 % (7614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (7614)Termination reason: Unknown
% 0.18/0.49 % (7614)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (7614)Memory used [KB]: 5884
% 0.18/0.49 % (7614)Time elapsed: 0.092 s
% 0.18/0.49 % (7614)Instructions burned: 3 (million)
% 0.18/0.49 % (7614)------------------------------
% 0.18/0.49 % (7614)------------------------------
% 0.18/0.49 % (7609)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)
% 0.18/0.50 % (7624)Instruction limit reached!
% 0.18/0.50 % (7624)------------------------------
% 0.18/0.50 % (7624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (7610)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)
% 0.18/0.51 % (7609)Instruction limit reached!
% 0.18/0.51 % (7609)------------------------------
% 0.18/0.51 % (7609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (7609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (7609)Termination reason: Unknown
% 0.18/0.51 % (7609)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (7609)Memory used [KB]: 5884
% 0.18/0.51 % (7609)Time elapsed: 0.098 s
% 0.18/0.51 % (7609)Instructions burned: 5 (million)
% 0.18/0.51 % (7609)------------------------------
% 0.18/0.51 % (7609)------------------------------
% 0.18/0.51 % (7602)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)
% 0.18/0.51 % (7624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (7624)Termination reason: Unknown
% 0.18/0.51 % (7624)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (7624)Memory used [KB]: 6524
% 0.18/0.51 % (7624)Time elapsed: 0.084 s
% 0.18/0.51 % (7624)Instructions burned: 38 (million)
% 0.18/0.51 % (7624)------------------------------
% 0.18/0.51 % (7624)------------------------------
% 0.18/0.51 % (7602)Instruction limit reached!
% 0.18/0.51 % (7602)------------------------------
% 0.18/0.51 % (7602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (7602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (7602)Termination reason: Unknown
% 0.18/0.51 % (7602)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (7602)Memory used [KB]: 5884
% 0.18/0.51 % (7602)Time elapsed: 0.114 s
% 0.18/0.51 % (7602)Instructions burned: 4 (million)
% 0.18/0.51 % (7602)------------------------------
% 0.18/0.51 % (7602)------------------------------
% 0.18/0.51 % (7615)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)
% 0.18/0.51 % (7600)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.51 % (7627)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)
% 0.18/0.52 % (7603)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)
% 0.18/0.52 % (7611)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)
% 0.18/0.52 % (7606)First to succeed.
% 0.18/0.52 % (7607)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)
% 0.18/0.52 % (7612)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)
% 0.18/0.52 % (7611)Instruction limit reached!
% 0.18/0.52 % (7611)------------------------------
% 0.18/0.52 % (7611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (7611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (7611)Termination reason: Unknown
% 0.18/0.52 % (7611)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (7611)Memory used [KB]: 6012
% 0.18/0.52 % (7611)Time elapsed: 0.126 s
% 0.18/0.52 % (7611)Instructions burned: 6 (million)
% 0.18/0.52 % (7611)------------------------------
% 0.18/0.52 % (7611)------------------------------
% 0.18/0.52 % (7608)Instruction limit reached!
% 0.18/0.52 % (7608)------------------------------
% 0.18/0.52 % (7608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (7608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (7608)Termination reason: Unknown
% 0.18/0.52 % (7608)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (7608)Memory used [KB]: 6012
% 0.18/0.52 % (7608)Time elapsed: 0.102 s
% 0.18/0.52 % (7608)Instructions burned: 51 (million)
% 0.18/0.52 % (7608)------------------------------
% 0.18/0.52 % (7608)------------------------------
% 0.18/0.52 % (7619)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)
% 0.18/0.52 % (7625)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)
% 0.18/0.53 % (7626)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)
% 0.18/0.53 % (7622)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.18/0.53 % (7628)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)
% 0.18/0.53 % (7601)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)
% 0.18/0.53 % (7606)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (7606)------------------------------
% 0.18/0.53 % (7606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (7606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (7606)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (7606)Memory used [KB]: 6268
% 0.18/0.53 % (7606)Time elapsed: 0.118 s
% 0.18/0.53 % (7606)Instructions burned: 18 (million)
% 0.18/0.53 % (7606)------------------------------
% 0.18/0.53 % (7606)------------------------------
% 0.18/0.53 % (7598)Success in time 0.192 s
%------------------------------------------------------------------------------