TSTP Solution File: SCT027-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SCT027-1 : 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_sat --cores 0 -t %d %s
% Computer : n003.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 18:17:21 EDT 2022
% Result : Unsatisfiable 1.44s 0.62s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 47 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 38 ( 22 ~; 13 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1216,plain,
$false,
inference(avatar_sat_refutation,[],[f1038,f1085,f1213,f1215]) ).
fof(f1215,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f1214,plain,
( $false
| ~ spl5_1 ),
inference(resolution,[],[f964,f667]) ).
fof(f667,axiom,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f964,plain,
( v_thesis____
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f962,plain,
( spl5_1
<=> v_thesis____ ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f1213,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f1212]) ).
fof(f1212,plain,
( $false
| ~ spl5_2 ),
inference(resolution,[],[f1211,f967]) ).
fof(f967,plain,
( ! [X2] : ~ hBOOL(sF4(X2))
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f966,plain,
( spl5_2
<=> ! [X2] : ~ hBOOL(sF4(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f1211,plain,
hBOOL(sF4(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1)),
inference(forward_demodulation,[],[f1210,f821]) ).
fof(f821,plain,
! [X2] : sF4(X2) = hAPP(sF3(X2),c_Arrow__Order__Mirabelle_OLin),
introduced(function_definition,[]) ).
fof(f1210,plain,
hBOOL(hAPP(sF3(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)),
inference(forward_demodulation,[],[f1209,f820]) ).
fof(f820,plain,
! [X2] : hAPP(sF2,X2) = sF3(X2),
introduced(function_definition,[]) ).
fof(f1209,plain,
hBOOL(hAPP(hAPP(sF2,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)),
inference(superposition,[],[f941,f819]) ).
fof(f819,plain,
c_in(sF1) = sF2,
introduced(function_definition,[]) ).
fof(f941,plain,
hBOOL(hAPP(hAPP(c_in(sF1),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)),
inference(forward_demodulation,[],[f940,f818]) ).
fof(f818,plain,
sF1 = tc_fun(sF0,tc_bool),
introduced(function_definition,[]) ).
fof(f940,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(sF0,tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)),
inference(forward_demodulation,[],[f659,f817]) ).
fof(f817,plain,
tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF0,
introduced(function_definition,[]) ).
fof(f659,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linear__alt_0) ).
fof(f1085,plain,
( spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f1084,f1036,f966]) ).
fof(f1036,plain,
( spl5_3
<=> ! [X18] : ~ hBOOL(hAPP(hAPP(c_in(sF1),X18),c_Arrow__Order__Mirabelle_OLin)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f1084,plain,
( ! [X18] : ~ hBOOL(sF4(X18))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f1083,f821]) ).
fof(f1083,plain,
( ! [X18] : ~ hBOOL(hAPP(sF3(X18),c_Arrow__Order__Mirabelle_OLin))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f1082,f820]) ).
fof(f1082,plain,
( ! [X18] : ~ hBOOL(hAPP(hAPP(sF2,X18),c_Arrow__Order__Mirabelle_OLin))
| ~ spl5_3 ),
inference(forward_demodulation,[],[f1037,f819]) ).
fof(f1037,plain,
( ! [X18] : ~ hBOOL(hAPP(hAPP(c_in(sF1),X18),c_Arrow__Order__Mirabelle_OLin))
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1038,plain,
( spl5_1
| spl5_3 ),
inference(avatar_split_clause,[],[f1034,f1036,f962]) ).
fof(f1034,plain,
! [X18] :
( ~ hBOOL(hAPP(hAPP(c_in(sF1),X18),c_Arrow__Order__Mirabelle_OLin))
| v_thesis____ ),
inference(forward_demodulation,[],[f1033,f818]) ).
fof(f1033,plain,
! [X18] :
( v_thesis____
| ~ hBOOL(hAPP(hAPP(c_in(tc_fun(sF0,tc_bool)),X18),c_Arrow__Order__Mirabelle_OLin)) ),
inference(forward_demodulation,[],[f663,f817]) ).
fof(f663,axiom,
! [X18] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X18),c_Arrow__Order__Mirabelle_OLin))
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SCT027-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.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 : Tue Aug 30 12:26:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.53 % (23330)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (23321)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (23334)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.54 % (23329)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (23322)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (23326)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (23346)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.30/0.55 % (23342)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.30/0.55 % (23337)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.30/0.55 % (23324)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.56 % (23331)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.30/0.56 % (23345)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.30/0.56 % (23320)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.30/0.56 % (23344)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.30/0.56 % (23323)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.30/0.56 % (23343)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.30/0.57 % (23318)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.30/0.57 % (23333)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.30/0.57 % (23332)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.30/0.57 % (23339)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.44/0.57 % (23347)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.44/0.57 % (23341)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.44/0.57 % (23326)Instruction limit reached!
% 1.44/0.57 % (23326)------------------------------
% 1.44/0.57 % (23326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57 % (23326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57 % (23326)Termination reason: Unknown
% 1.44/0.57 % (23326)Termination phase: Property scanning
% 1.44/0.57
% 1.44/0.57 % (23326)Memory used [KB]: 1663
% 1.44/0.57 % (23326)Time elapsed: 0.007 s
% 1.44/0.57 % (23326)Instructions burned: 10 (million)
% 1.44/0.57 % (23326)------------------------------
% 1.44/0.57 % (23326)------------------------------
% 1.44/0.57 % (23335)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.58 % (23328)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.58 % (23327)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.44/0.58 % (23327)Instruction limit reached!
% 1.44/0.58 % (23327)------------------------------
% 1.44/0.58 % (23327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58 % (23327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58 % (23327)Termination reason: Unknown
% 1.44/0.58 % (23327)Termination phase: shuffling
% 1.44/0.58
% 1.44/0.58 % (23327)Memory used [KB]: 1535
% 1.44/0.58 % (23327)Time elapsed: 0.002 s
% 1.44/0.58 % (23327)Instructions burned: 2 (million)
% 1.44/0.58 % (23327)------------------------------
% 1.44/0.58 % (23327)------------------------------
% 1.44/0.58 % (23338)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.58 % (23340)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.44/0.59 % (23319)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.59 % (23336)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.44/0.60 % (23348)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.44/0.60 % (23321)Instruction limit reached!
% 1.44/0.60 % (23321)------------------------------
% 1.44/0.60 % (23321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.61 % (23321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.61 % (23321)Termination reason: Unknown
% 1.44/0.61 % (23321)Termination phase: Saturation
% 1.44/0.61
% 1.44/0.61 % (23321)Memory used [KB]: 6524
% 1.44/0.61 % (23321)Time elapsed: 0.028 s
% 1.44/0.61 % (23321)Instructions burned: 52 (million)
% 1.44/0.61 % (23321)------------------------------
% 1.44/0.61 % (23321)------------------------------
% 1.44/0.61 % (23320)Instruction limit reached!
% 1.44/0.61 % (23320)------------------------------
% 1.44/0.61 % (23320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.61 % (23320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.61 % (23320)Termination reason: Unknown
% 1.44/0.61 % (23320)Termination phase: Saturation
% 1.44/0.61
% 1.44/0.61 % (23320)Memory used [KB]: 1663
% 1.44/0.61 % (23320)Time elapsed: 0.017 s
% 1.44/0.61 % (23320)Instructions burned: 38 (million)
% 1.44/0.61 % (23320)------------------------------
% 1.44/0.61 % (23320)------------------------------
% 1.44/0.61 % (23324)Instruction limit reached!
% 1.44/0.61 % (23324)------------------------------
% 1.44/0.61 % (23324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.61 % (23329)Instruction limit reached!
% 1.44/0.61 % (23329)------------------------------
% 1.44/0.61 % (23329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.61 % (23330)First to succeed.
% 1.44/0.62 % (23330)Refutation found. Thanks to Tanya!
% 1.44/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.44/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.62 % (23330)------------------------------
% 1.44/0.62 % (23330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.62 % (23330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.62 % (23330)Termination reason: Refutation
% 1.44/0.62
% 1.44/0.62 % (23330)Memory used [KB]: 6780
% 1.44/0.62 % (23330)Time elapsed: 0.175 s
% 1.44/0.62 % (23330)Instructions burned: 63 (million)
% 1.44/0.62 % (23330)------------------------------
% 1.44/0.62 % (23330)------------------------------
% 1.44/0.62 % (23295)Success in time 0.269 s
%------------------------------------------------------------------------------