TSTP Solution File: SCT070-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SCT070-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n020.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 18:16:32 EDT 2022
% Result : Unsatisfiable 1.47s 0.57s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 14
% Syntax : Number of formulae : 25 ( 1 unt; 0 def)
% Number of atoms : 81 ( 18 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 92 ( 36 ~; 52 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f715,plain,
$false,
inference(avatar_sat_refutation,[],[f705,f706,f707,f708,f709,f710,f711,f712,f713,f714]) ).
fof(f714,plain,
( spl0_3
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f659,f702,f694,f690,f698]) ).
fof(f698,plain,
( spl0_3
<=> v_a____ = v_b_H____ ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f690,plain,
( spl0_1
<=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f694,plain,
( spl0_2
<=> c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f702,plain,
( spl0_4
<=> v_b____ = v_a_H____ ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f659,axiom,
( v_b____ != v_a_H____
| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| v_a____ = v_b_H____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1_01) ).
fof(f713,plain,
( spl0_4
| ~ spl0_3
| ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f662,f694,f690,f698,f702]) ).
fof(f662,axiom,
( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| v_a____ != v_b_H____
| v_b____ = v_a_H____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_04) ).
fof(f712,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f665,f690,f694]) ).
fof(f665,axiom,
( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f711,plain,
( spl0_4
| spl0_3
| ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f663,f690,f694,f698,f702]) ).
fof(f663,axiom,
( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| v_a____ = v_b_H____
| v_b____ = v_a_H____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1_05) ).
fof(f710,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f658,f702,f698,f694,f690]) ).
fof(f658,axiom,
( v_b____ != v_a_H____
| v_a____ != v_b_H____
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f709,plain,
( ~ spl0_2
| spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f657,f702,f698,f690,f694]) ).
fof(f657,axiom,
( v_b____ != v_a_H____
| v_a____ != v_b_H____
| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f708,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f666,f690,f694]) ).
fof(f666,axiom,
( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f707,plain,
( spl0_1
| spl0_4
| ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f661,f694,f698,f702,f690]) ).
fof(f661,axiom,
( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| v_a____ != v_b_H____
| v_b____ = v_a_H____
| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1_03) ).
fof(f706,plain,
( ~ spl0_1
| spl0_2
| spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f664,f698,f702,f694,f690]) ).
fof(f664,axiom,
( v_a____ = v_b_H____
| v_b____ = v_a_H____
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_06) ).
fof(f705,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f660,f702,f698,f694,f690]) ).
fof(f660,axiom,
( v_b____ != v_a_H____
| v_a____ = v_b_H____
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SCT070-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 12:31:45 EDT 2022
% 0.11/0.34 % CPUTime :
% 0.17/0.53 % (27320)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)
% 0.17/0.54 % (27316)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)
% 1.33/0.54 % (27328)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)
% 1.33/0.54 % (27328)Instruction limit reached!
% 1.33/0.54 % (27328)------------------------------
% 1.33/0.54 % (27328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.55 % (27328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.55 % (27328)Termination reason: Unknown
% 1.33/0.55 % (27328)Termination phase: Property scanning
% 1.33/0.55
% 1.33/0.55 % (27328)Memory used [KB]: 1918
% 1.33/0.55 % (27328)Time elapsed: 0.007 s
% 1.33/0.55 % (27328)Instructions burned: 7 (million)
% 1.33/0.55 % (27328)------------------------------
% 1.33/0.55 % (27328)------------------------------
% 1.33/0.55 % (27319)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)
% 1.33/0.55 % (27327)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)
% 1.33/0.55 % (27336)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)
% 1.33/0.56 % (27329)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)
% 1.33/0.56 % (27315)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)
% 1.33/0.56 % (27326)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)
% 1.33/0.56 % (27329)Instruction limit reached!
% 1.33/0.56 % (27329)------------------------------
% 1.33/0.56 % (27329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.56 % (27329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.56 % (27329)Termination reason: Unknown
% 1.33/0.56 % (27329)Termination phase: Unused predicate definition removal
% 1.33/0.56
% 1.33/0.56 % (27329)Memory used [KB]: 1918
% 1.33/0.56 % (27329)Time elapsed: 0.003 s
% 1.33/0.56 % (27329)Instructions burned: 2 (million)
% 1.33/0.56 % (27329)------------------------------
% 1.33/0.56 % (27329)------------------------------
% 1.33/0.56 % (27326)Instruction limit reached!
% 1.33/0.56 % (27326)------------------------------
% 1.33/0.56 % (27326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.56 % (27326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.56 % (27326)Termination reason: Unknown
% 1.33/0.56 % (27326)Termination phase: SInE selection
% 1.33/0.56
% 1.33/0.56 % (27326)Memory used [KB]: 1791
% 1.33/0.56 % (27326)Time elapsed: 0.004 s
% 1.33/0.56 % (27326)Instructions burned: 4 (million)
% 1.33/0.56 % (27326)------------------------------
% 1.33/0.56 % (27326)------------------------------
% 1.33/0.56 % (27315)Instruction limit reached!
% 1.33/0.56 % (27315)------------------------------
% 1.33/0.56 % (27315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.56 % (27315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.56 % (27315)Termination reason: Unknown
% 1.33/0.56 % (27315)Termination phase: General splitting
% 1.33/0.56
% 1.33/0.56 % (27315)Memory used [KB]: 1918
% 1.33/0.56 % (27315)Time elapsed: 0.005 s
% 1.33/0.56 % (27315)Instructions burned: 5 (million)
% 1.33/0.56 % (27315)------------------------------
% 1.33/0.56 % (27315)------------------------------
% 1.47/0.56 % (27313)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.47/0.56 % (27316)First to succeed.
% 1.47/0.57 % (27316)Refutation found. Thanks to Tanya!
% 1.47/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.47/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.57 % (27316)------------------------------
% 1.47/0.57 % (27316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57 % (27316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57 % (27316)Termination reason: Refutation
% 1.47/0.57
% 1.47/0.57 % (27316)Memory used [KB]: 6396
% 1.47/0.57 % (27316)Time elapsed: 0.006 s
% 1.47/0.57 % (27316)Instructions burned: 5 (million)
% 1.47/0.57 % (27316)------------------------------
% 1.47/0.57 % (27316)------------------------------
% 1.47/0.57 % (27312)Success in time 0.222 s
%------------------------------------------------------------------------------