TSTP Solution File: SEU090+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU090+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n002.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 18:31:55 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 53 ( 18 unt; 0 def)
% Number of atoms : 124 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 110 ( 39 ~; 35 |; 23 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-4 aty)
% Number of variables : 57 ( 49 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f730,plain,
$false,
inference(avatar_sat_refutation,[],[f515,f517,f721,f723,f725,f727,f729]) ).
fof(f729,plain,
~ spl32_4,
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f728,plain,
( $false
| ~ spl32_4 ),
inference(resolution,[],[f506,f272]) ).
fof(f272,plain,
~ finite(sF31),
inference(definition_folding,[],[f268,f271,f270]) ).
fof(f270,plain,
sF30 = cartesian_product3(sK11,sK10,sK9),
introduced(function_definition,[]) ).
fof(f271,plain,
sF31 = cartesian_product2(sF30,sK12),
introduced(function_definition,[]) ).
fof(f268,plain,
~ finite(cartesian_product2(cartesian_product3(sK11,sK10,sK9),sK12)),
inference(definition_unfolding,[],[f185,f233]) ).
fof(f233,plain,
! [X2,X3,X0,X1] : cartesian_product2(cartesian_product3(X3,X2,X0),X1) = cartesian_product4(X3,X2,X0,X1),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X1,X2,X3,X0] : cartesian_product2(cartesian_product3(X3,X2,X0),X1) = cartesian_product4(X3,X2,X0,X1),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X3,X1,X0] : cartesian_product4(X0,X1,X2,X3) = cartesian_product2(cartesian_product3(X0,X1,X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_zfmisc_1) ).
fof(f185,plain,
~ finite(cartesian_product4(sK11,sK10,sK9,sK12)),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
? [X2,X3,X0,X1] :
( finite(X1)
& finite(X2)
& ~ finite(cartesian_product4(X0,X3,X2,X1))
& finite(X3)
& finite(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
? [X2,X1,X0,X3] :
( ~ finite(cartesian_product4(X0,X3,X2,X1))
& finite(X2)
& finite(X0)
& finite(X3)
& finite(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
~ ! [X2,X1,X0,X3] :
( ( finite(X2)
& finite(X0)
& finite(X3)
& finite(X1) )
=> finite(cartesian_product4(X0,X3,X2,X1)) ),
inference(rectify,[],[f57]) ).
fof(f57,negated_conjecture,
~ ! [X0,X3,X2,X1] :
( ( finite(X1)
& finite(X0)
& finite(X3)
& finite(X2) )
=> finite(cartesian_product4(X0,X1,X2,X3)) ),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
! [X0,X3,X2,X1] :
( ( finite(X1)
& finite(X0)
& finite(X3)
& finite(X2) )
=> finite(cartesian_product4(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_finset_1) ).
fof(f506,plain,
( finite(sF31)
| ~ spl32_4 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f504,plain,
( spl32_4
<=> finite(sF31) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).
fof(f727,plain,
spl32_16,
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| spl32_16 ),
inference(resolution,[],[f720,f184]) ).
fof(f184,plain,
finite(sK10),
inference(cnf_transformation,[],[f131]) ).
fof(f720,plain,
( ~ finite(sK10)
| spl32_16 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f718,plain,
( spl32_16
<=> finite(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_16])]) ).
fof(f725,plain,
spl32_15,
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f724,plain,
( $false
| spl32_15 ),
inference(resolution,[],[f716,f186]) ).
fof(f186,plain,
finite(sK9),
inference(cnf_transformation,[],[f131]) ).
fof(f716,plain,
( ~ finite(sK9)
| spl32_15 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f714,plain,
( spl32_15
<=> finite(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_15])]) ).
fof(f723,plain,
spl32_14,
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f722,plain,
( $false
| spl32_14 ),
inference(resolution,[],[f712,f183]) ).
fof(f183,plain,
finite(sK11),
inference(cnf_transformation,[],[f131]) ).
fof(f712,plain,
( ~ finite(sK11)
| spl32_14 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f710,plain,
( spl32_14
<=> finite(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_14])]) ).
fof(f721,plain,
( ~ spl32_14
| spl32_6
| ~ spl32_15
| ~ spl32_16 ),
inference(avatar_split_clause,[],[f708,f718,f714,f512,f710]) ).
fof(f512,plain,
( spl32_6
<=> finite(sF30) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_6])]) ).
fof(f708,plain,
( ~ finite(sK10)
| ~ finite(sK9)
| finite(sF30)
| ~ finite(sK11) ),
inference(superposition,[],[f223,f270]) ).
fof(f223,plain,
! [X2,X0,X1] :
( finite(cartesian_product3(X0,X2,X1))
| ~ finite(X2)
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X1,X0,X2] :
( finite(cartesian_product3(X0,X2,X1))
| ~ finite(X2)
| ~ finite(X0)
| ~ finite(X1) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( finite(cartesian_product3(X0,X2,X1))
| ~ finite(X2)
| ~ finite(X0)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( finite(X2)
& finite(X0)
& finite(X1) )
=> finite(cartesian_product3(X0,X2,X1)) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X2,X1] :
( ( finite(X0)
& finite(X2)
& finite(X1) )
=> finite(cartesian_product3(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc15_finset_1) ).
fof(f517,plain,
spl32_5,
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| spl32_5 ),
inference(resolution,[],[f510,f187]) ).
fof(f187,plain,
finite(sK12),
inference(cnf_transformation,[],[f131]) ).
fof(f510,plain,
( ~ finite(sK12)
| spl32_5 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f508,plain,
( spl32_5
<=> finite(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).
fof(f515,plain,
( spl32_4
| ~ spl32_5
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f502,f512,f508,f504]) ).
fof(f502,plain,
( ~ finite(sF30)
| ~ finite(sK12)
| finite(sF31) ),
inference(superposition,[],[f180,f271]) ).
fof(f180,plain,
! [X0,X1] :
( finite(cartesian_product2(X1,X0))
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X1,X0] :
( ~ finite(X1)
| finite(cartesian_product2(X1,X0))
| ~ finite(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X1,X0] :
( finite(cartesian_product2(X1,X0))
| ~ finite(X1)
| ~ finite(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ( finite(X1)
& finite(X0) )
=> finite(cartesian_product2(X1,X0)) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] :
( ( finite(X1)
& finite(X0) )
=> finite(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_finset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU090+1 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:49:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.49 % (2879)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (2875)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)
% 0.20/0.50 % (2893)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50 % (2881)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)
% 0.20/0.51 % (2885)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (2879)Instruction limit reached!
% 0.20/0.51 % (2879)------------------------------
% 0.20/0.51 % (2879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2879)Termination reason: Unknown
% 0.20/0.51 % (2879)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (2879)Memory used [KB]: 5628
% 0.20/0.51 % (2879)Time elapsed: 0.123 s
% 0.20/0.51 % (2879)Instructions burned: 8 (million)
% 0.20/0.51 % (2879)------------------------------
% 0.20/0.51 % (2879)------------------------------
% 0.20/0.51 % (2878)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)
% 0.20/0.51 % (2877)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)
% 0.20/0.52 % (2897)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (2874)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)
% 0.20/0.52 % (2882)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (2889)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (2875)First to succeed.
% 0.20/0.52 % (2901)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)
% 0.20/0.52 % (2899)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)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (2887)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)
% 0.20/0.52 % (2872)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (2884)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 TRYING [4]
% 0.20/0.53 % (2898)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)
% 0.20/0.53 % (2876)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (2895)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)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (2875)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (2875)------------------------------
% 0.20/0.54 % (2875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2875)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (2875)Memory used [KB]: 5756
% 0.20/0.54 % (2875)Time elapsed: 0.129 s
% 0.20/0.54 % (2875)Instructions burned: 11 (million)
% 0.20/0.54 % (2875)------------------------------
% 0.20/0.54 % (2875)------------------------------
% 0.20/0.54 % (2871)Success in time 0.196 s
%------------------------------------------------------------------------------