TSTP Solution File: FLD007-3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD007-3 : 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 : n019.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 16:05:22 EDT 2022
% Result : Unsatisfiable 0.19s 0.59s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(subsumption_resolution,[],[f167,f59]) ).
fof(f59,plain,
sum(additive_inverse(additive_inverse(a)),additive_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f38,f4]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f38,plain,
defined(additive_inverse(a)),
inference(unit_resulting_resolution,[],[f27,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f167,plain,
~ sum(additive_inverse(additive_inverse(a)),additive_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f30,f29,f146,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sum(X4,X5,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f146,plain,
~ sum(additive_inverse(additive_inverse(a)),additive_identity,a),
inference(unit_resulting_resolution,[],[f28,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f28,axiom,
~ sum(additive_identity,additive_inverse(additive_inverse(a)),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_2) ).
fof(f29,plain,
sum(additive_identity,a,a),
inference(unit_resulting_resolution,[],[f27,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f30,plain,
sum(additive_inverse(a),a,additive_identity),
inference(unit_resulting_resolution,[],[f27,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD007-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % 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 : n019.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 20:36:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.56 % (3118)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)
% 0.19/0.56 % (3119)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)
% 0.19/0.56 % (3101)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)
% 0.19/0.56 % (3110)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)
% 0.19/0.56 % (3102)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)
% 0.19/0.56 % (3111)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)
% 0.19/0.56 % (3103)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)
% 0.19/0.56 % (3117)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)
% 0.19/0.57 % (3102)Refutation not found, incomplete strategy% (3102)------------------------------
% 0.19/0.57 % (3102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (3102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (3102)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57
% 0.19/0.57 % (3102)Memory used [KB]: 5884
% 0.19/0.57 % (3102)Time elapsed: 0.130 s
% 0.19/0.57 % (3102)Instructions burned: 2 (million)
% 0.19/0.57 % (3102)------------------------------
% 0.19/0.57 % (3102)------------------------------
% 0.19/0.57 % (3109)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)
% 0.19/0.57 % (3103)Instruction limit reached!
% 0.19/0.57 % (3103)------------------------------
% 0.19/0.57 % (3103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (3103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (3103)Termination reason: Unknown
% 0.19/0.57 % (3103)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (3103)Memory used [KB]: 5884
% 0.19/0.57 % (3103)Time elapsed: 0.143 s
% 0.19/0.57 % (3103)Instructions burned: 3 (million)
% 0.19/0.57 % (3103)------------------------------
% 0.19/0.57 % (3103)------------------------------
% 0.19/0.57 % (3111)Instruction limit reached!
% 0.19/0.57 % (3111)------------------------------
% 0.19/0.57 % (3111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 TRYING [1]
% 0.19/0.57 % (3111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (3111)Termination reason: Unknown
% 0.19/0.57 % (3111)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (3111)Memory used [KB]: 5884
% 0.19/0.57 % (3111)Time elapsed: 0.004 s
% 0.19/0.57 % (3111)Instructions burned: 2 (million)
% 0.19/0.57 % (3111)------------------------------
% 0.19/0.57 % (3111)------------------------------
% 0.19/0.58 TRYING [2]
% 0.19/0.58 % (3110)Instruction limit reached!
% 0.19/0.58 % (3110)------------------------------
% 0.19/0.58 % (3110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (3110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (3110)Termination reason: Unknown
% 0.19/0.58 % (3110)Termination phase: Finite model building constraint generation
% 0.19/0.58
% 0.19/0.58 % (3110)Memory used [KB]: 6012
% 0.19/0.58 % (3110)Time elapsed: 0.157 s
% 0.19/0.58 % (3110)Instructions burned: 7 (million)
% 0.19/0.58 % (3110)------------------------------
% 0.19/0.58 % (3110)------------------------------
% 0.19/0.58 % (3117)First to succeed.
% 0.19/0.59 % (3117)Refutation found. Thanks to Tanya!
% 0.19/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.59 % (3117)------------------------------
% 0.19/0.59 % (3117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (3117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (3117)Termination reason: Refutation
% 0.19/0.59
% 0.19/0.59 % (3117)Memory used [KB]: 6012
% 0.19/0.59 % (3117)Time elapsed: 0.150 s
% 0.19/0.59 % (3117)Instructions burned: 6 (million)
% 0.19/0.59 % (3117)------------------------------
% 0.19/0.59 % (3117)------------------------------
% 0.19/0.59 % (3094)Success in time 0.231 s
%------------------------------------------------------------------------------