TSTP Solution File: FLD013-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD013-2 : 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 16:05:26 EDT 2022
% Result : Unsatisfiable 1.44s 0.52s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 37 ~; 34 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f681,plain,
$false,
inference(avatar_sat_refutation,[],[f83,f274,f567,f581,f680]) ).
fof(f680,plain,
( ~ spl0_20
| spl0_46 ),
inference(avatar_split_clause,[],[f677,f578,f263]) ).
fof(f263,plain,
( spl0_20
<=> defined(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f578,plain,
( spl0_46
<=> equalish(add(b,c),u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f677,plain,
( ~ defined(c)
| spl0_46 ),
inference(resolution,[],[f664,f528]) ).
fof(f528,plain,
! [X24] :
( equalish(add(a,X24),add(b,X24))
| ~ defined(X24) ),
inference(resolution,[],[f24,f33]) ).
fof(f33,axiom,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_6) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ defined(X2)
| equalish(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f664,plain,
( ~ equalish(add(a,c),add(b,c))
| spl0_46 ),
inference(resolution,[],[f620,f35]) ).
fof(f35,axiom,
equalish(add(a,c),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_equals_u_8) ).
fof(f620,plain,
( ! [X2] :
( ~ equalish(X2,u)
| ~ equalish(X2,add(b,c)) )
| spl0_46 ),
inference(resolution,[],[f582,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f582,plain,
( ! [X0] :
( ~ equalish(add(b,c),X0)
| ~ equalish(X0,u) )
| spl0_46 ),
inference(resolution,[],[f580,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(f580,plain,
( ~ equalish(add(b,c),u)
| spl0_46 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f581,plain,
( ~ spl0_20
| ~ spl0_46
| ~ spl0_5
| spl0_45 ),
inference(avatar_split_clause,[],[f573,f564,f76,f578,f263]) ).
fof(f76,plain,
( spl0_5
<=> defined(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f564,plain,
( spl0_45
<=> equalish(add(c,b),u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f573,plain,
( ~ defined(b)
| ~ equalish(add(b,c),u)
| ~ defined(c)
| spl0_45 ),
inference(resolution,[],[f568,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f568,plain,
( ! [X0] :
( ~ equalish(add(c,b),X0)
| ~ equalish(X0,u) )
| spl0_45 ),
inference(resolution,[],[f566,f23]) ).
fof(f566,plain,
( ~ equalish(add(c,b),u)
| spl0_45 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f567,plain,
( ~ spl0_5
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f561,f564,f76]) ).
fof(f561,plain,
( ~ equalish(add(c,b),u)
| ~ defined(b) ),
inference(resolution,[],[f529,f47]) ).
fof(f47,plain,
! [X2] :
( ~ equalish(X2,add(d,b))
| ~ equalish(X2,u) ),
inference(resolution,[],[f41,f22]) ).
fof(f41,plain,
! [X0] :
( ~ equalish(add(d,b),X0)
| ~ equalish(X0,u) ),
inference(resolution,[],[f23,f36]) ).
fof(f36,axiom,
~ equalish(add(d,b),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_not_equal_to_u_9) ).
fof(f529,plain,
! [X25] :
( equalish(add(c,X25),add(d,X25))
| ~ defined(X25) ),
inference(resolution,[],[f24,f34]) ).
fof(f34,axiom,
equalish(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_equals_d_7) ).
fof(f274,plain,
spl0_20,
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f273,plain,
( $false
| spl0_20 ),
inference(resolution,[],[f265,f30]) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f265,plain,
( ~ defined(c)
| spl0_20 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f83,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f82,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f78,f29]) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f78,plain,
( ~ defined(b)
| spl0_5 ),
inference(avatar_component_clause,[],[f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : FLD013-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Aug 29 20:57:00 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.48 % (8056)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 % (8052)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)
% 0.18/0.48 % (8054)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)
% 0.18/0.49 % (8077)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)
% 0.18/0.49 % (8062)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)
% 0.18/0.49 % (8068)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)
% 0.18/0.50 % (8065)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)
% 0.18/0.50 TRYING [1]
% 0.18/0.50 TRYING [2]
% 0.18/0.50 % (8058)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)
% 0.18/0.50 % (8083)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)
% 0.18/0.50 % (8068)Instruction limit reached!
% 0.18/0.50 % (8068)------------------------------
% 0.18/0.50 % (8068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (8068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (8068)Termination reason: Unknown
% 0.18/0.50 % (8068)Termination phase: Finite model building SAT solving
% 0.18/0.50
% 0.18/0.50 % (8068)Memory used [KB]: 6012
% 0.18/0.50 % (8068)Time elapsed: 0.095 s
% 0.18/0.50 % (8068)Instructions burned: 7 (million)
% 0.18/0.50 % (8068)------------------------------
% 0.18/0.50 % (8068)------------------------------
% 0.18/0.50 % (8055)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)
% 0.18/0.50 % (8081)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)
% 0.18/0.50 % (8051)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 % (8071)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)
% 0.18/0.51 % (8065)Instruction limit reached!
% 0.18/0.51 % (8065)------------------------------
% 0.18/0.51 % (8065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (8065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (8065)Termination reason: Unknown
% 0.18/0.51 % (8065)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (8065)Memory used [KB]: 5884
% 0.18/0.51 % (8065)Time elapsed: 0.127 s
% 0.18/0.51 % (8065)Instructions burned: 3 (million)
% 0.18/0.51 % (8065)------------------------------
% 0.18/0.51 % (8065)------------------------------
% 0.18/0.51 % (8061)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)
% 0.18/0.51 % (8053)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 % (8057)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)
% 0.18/0.51 % (8053)Instruction limit reached!
% 0.18/0.51 % (8053)------------------------------
% 0.18/0.51 % (8053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (8053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (8053)Termination reason: Unknown
% 0.18/0.51 % (8053)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (8053)Memory used [KB]: 5884
% 0.18/0.51 % (8053)Time elapsed: 0.120 s
% 0.18/0.51 % (8053)Instructions burned: 4 (million)
% 0.18/0.51 % (8053)------------------------------
% 0.18/0.51 % (8053)------------------------------
% 0.18/0.51 % (8056)First to succeed.
% 0.18/0.51 % (8069)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)
% 0.18/0.52 % (8082)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)
% 0.18/0.52 % (8078)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)
% 1.44/0.52 % (8080)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)
% 1.44/0.52 % (8074)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)
% 1.44/0.52 % (8072)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)
% 1.44/0.52 % (8079)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)
% 1.44/0.52 % (8067)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)
% 1.44/0.52 % (8075)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)
% 1.44/0.52 % (8060)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)
% 1.44/0.52 % (8061)Instruction limit reached!
% 1.44/0.52 % (8061)------------------------------
% 1.44/0.52 % (8061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.52 % (8061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.52 % (8061)Termination reason: Unknown
% 1.44/0.52 % (8061)Termination phase: Saturation
% 1.44/0.52
% 1.44/0.52 % (8061)Memory used [KB]: 6012
% 1.44/0.52 % (8061)Time elapsed: 0.139 s
% 1.44/0.52 % (8061)Instructions burned: 8 (million)
% 1.44/0.52 % (8061)------------------------------
% 1.44/0.52 % (8061)------------------------------
% 1.44/0.52 % (8056)Refutation found. Thanks to Tanya!
% 1.44/0.52 % SZS status Unsatisfiable for theBenchmark
% 1.44/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.52 % (8056)------------------------------
% 1.44/0.52 % (8056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.52 % (8056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.52 % (8056)Termination reason: Refutation
% 1.44/0.52
% 1.44/0.52 % (8056)Memory used [KB]: 6140
% 1.44/0.52 % (8056)Time elapsed: 0.132 s
% 1.44/0.52 % (8056)Instructions burned: 15 (million)
% 1.44/0.52 % (8056)------------------------------
% 1.44/0.52 % (8056)------------------------------
% 1.44/0.52 % (8048)Success in time 0.187 s
%------------------------------------------------------------------------------