TSTP Solution File: SCT074-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SCT074-1 : 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 : 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 18:17:28 EDT 2022
% Result : Unsatisfiable 3.36s 0.86s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 10 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1127,plain,
$false,
inference(avatar_sat_refutation,[],[f894,f967,f1126]) ).
fof(f1126,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1121,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f893,f934]) ).
fof(f934,plain,
! [X0] : c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,X0),
inference(resolution,[],[f927,f685]) ).
fof(f685,axiom,
! [X2,X6,X13] :
( ~ hBOOL(hAPP(X13,X6))
| c_in(X6,X13,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f927,plain,
hBOOL(hAPP(v_Lab____,c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(resolution,[],[f686,f688]) ).
fof(f688,axiom,
c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f686,axiom,
! [X2,X6,X13] :
( ~ c_in(X6,X13,X2)
| hBOOL(hAPP(X13,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f893,plain,
( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| spl0_2 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f891,plain,
( spl0_2
<=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f967,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f965]) ).
fof(f965,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f889,f932]) ).
fof(f932,plain,
! [X0] : c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,X0),
inference(resolution,[],[f925,f685]) ).
fof(f925,plain,
hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,v_Lab____)),
inference(resolution,[],[f686,f687]) ).
fof(f687,axiom,
c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f889,plain,
( ~ c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| spl0_1 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f887,plain,
( spl0_1
<=> c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f894,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f884,f891,f887]) ).
fof(f884,plain,
( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(resolution,[],[f588,f689]) ).
fof(f689,axiom,
c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f588,axiom,
! [X40,X0,X1] :
( ~ c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X40,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X40,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X40,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Lin__irrefl_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SCT074-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 12:34:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.55 % (1463)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)
% 0.21/0.55 % (1465)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)
% 0.21/0.55 % (1471)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)
% 0.21/0.55 % (1473)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.59 % (1456)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.59 % (1456)Instruction limit reached!
% 0.21/0.59 % (1456)------------------------------
% 0.21/0.59 % (1456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (1456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (1456)Termination reason: Unknown
% 0.21/0.59 % (1456)Termination phase: Function definition elimination
% 0.21/0.59
% 0.21/0.59 % (1456)Memory used [KB]: 1535
% 0.21/0.59 % (1456)Time elapsed: 0.004 s
% 0.21/0.59 % (1456)Instructions burned: 3 (million)
% 0.21/0.59 % (1456)------------------------------
% 0.21/0.59 % (1456)------------------------------
% 0.21/0.61 % (1472)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)
% 0.21/0.61 % (1464)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)
% 0.21/0.65 % (1463)Instruction limit reached!
% 0.21/0.65 % (1463)------------------------------
% 0.21/0.65 % (1463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.65 % (1463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.65 % (1463)Termination reason: Unknown
% 0.21/0.65 % (1463)Termination phase: Saturation
% 0.21/0.65
% 0.21/0.65 % (1463)Memory used [KB]: 7803
% 0.21/0.65 % (1463)Time elapsed: 0.053 s
% 0.21/0.65 % (1463)Instructions burned: 68 (million)
% 0.21/0.65 % (1463)------------------------------
% 0.21/0.65 % (1463)------------------------------
% 0.21/0.66 % (1460)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.66 % (1455)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.67 % (1462)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.67 % (1477)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.67 % (1454)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)
% 0.21/0.68 % (1478)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)
% 0.21/0.68 % (1470)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.68 % (1469)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)
% 0.21/0.69 % (1455)Instruction limit reached!
% 0.21/0.69 % (1455)------------------------------
% 0.21/0.69 % (1455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.69 % (1455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.69 % (1455)Termination reason: Unknown
% 0.21/0.69 % (1455)Termination phase: Property scanning
% 0.21/0.69
% 0.21/0.69 % (1455)Memory used [KB]: 1535
% 0.21/0.69 % (1455)Time elapsed: 0.007 s
% 0.21/0.69 % (1455)Instructions burned: 7 (million)
% 0.21/0.69 % (1455)------------------------------
% 0.21/0.69 % (1455)------------------------------
% 0.21/0.69 % (1465)Instruction limit reached!
% 0.21/0.69 % (1465)------------------------------
% 0.21/0.69 % (1465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.69 % (1465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.69 % (1465)Termination reason: Unknown
% 0.21/0.69 % (1465)Termination phase: Saturation
% 0.21/0.69
% 0.21/0.69 % (1465)Memory used [KB]: 7291
% 0.21/0.69 % (1465)Time elapsed: 0.199 s
% 0.21/0.69 % (1465)Instructions burned: 99 (million)
% 0.21/0.69 % (1465)------------------------------
% 0.21/0.69 % (1465)------------------------------
% 0.21/0.71 % (1450)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)
% 0.21/0.72 % (1457)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)
% 0.21/0.72 % (1459)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)
% 0.21/0.72 % (1474)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.72 % (1451)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)
% 0.21/0.73 % (1466)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.73 % (1448)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)
% 0.21/0.74 % (1475)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)
% 0.21/0.74 % (1467)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.75 % (1458)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.75 % (1452)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.75 % (1476)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)
% 0.21/0.76 % (1453)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)
% 0.21/0.76 % (1468)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)
% 0.21/0.76 % (1449)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)
% 0.21/0.79 % (1454)Instruction limit reached!
% 0.21/0.79 % (1454)------------------------------
% 0.21/0.79 % (1454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.79 % (1454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.79 % (1454)Termination reason: Unknown
% 0.21/0.79 % (1454)Termination phase: Finite model building preprocessing
% 0.21/0.79
% 0.21/0.79 % (1454)Memory used [KB]: 2430
% 0.21/0.79 % (1454)Time elapsed: 0.037 s
% 0.21/0.79 % (1454)Instructions burned: 52 (million)
% 0.21/0.79 % (1454)------------------------------
% 0.21/0.79 % (1454)------------------------------
% 0.21/0.79 % (1464)Instruction limit reached!
% 0.21/0.79 % (1464)------------------------------
% 0.21/0.79 % (1464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.79 % (1464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.79 % (1464)Termination reason: Unknown
% 0.21/0.79 % (1464)Termination phase: Saturation
% 0.21/0.79
% 0.21/0.79 % (1464)Memory used [KB]: 2302
% 0.21/0.79 % (1464)Time elapsed: 0.067 s
% 0.21/0.79 % (1464)Instructions burned: 75 (million)
% 0.21/0.79 % (1464)------------------------------
% 0.21/0.79 % (1464)------------------------------
% 2.94/0.81 % (1450)Instruction limit reached!
% 2.94/0.81 % (1450)------------------------------
% 2.94/0.81 % (1450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.81 % (1450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.81 % (1450)Termination reason: Unknown
% 2.94/0.81 % (1450)Termination phase: Saturation
% 2.94/0.81
% 2.94/0.81 % (1450)Memory used [KB]: 1791
% 2.94/0.81 % (1450)Time elapsed: 0.026 s
% 2.94/0.81 % (1450)Instructions burned: 37 (million)
% 2.94/0.81 % (1450)------------------------------
% 2.94/0.81 % (1450)------------------------------
% 3.36/0.85 % (1501)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.36/0.86 % (1478)First to succeed.
% 3.36/0.86 % (1478)Refutation found. Thanks to Tanya!
% 3.36/0.86 % SZS status Unsatisfiable for theBenchmark
% 3.36/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 3.36/0.86 % (1478)------------------------------
% 3.36/0.86 % (1478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/0.86 % (1478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/0.86 % (1478)Termination reason: Refutation
% 3.36/0.86
% 3.36/0.86 % (1478)Memory used [KB]: 7164
% 3.36/0.86 % (1478)Time elapsed: 0.354 s
% 3.36/0.86 % (1478)Instructions burned: 75 (million)
% 3.36/0.86 % (1478)------------------------------
% 3.36/0.86 % (1478)------------------------------
% 3.36/0.86 % (1447)Success in time 0.489 s
%------------------------------------------------------------------------------