TSTP Solution File: GEO499+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO499+1 : TPTP v8.1.0. Released v7.0.0.
% 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 : n008.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 16:12:58 EDT 2022
% Result : Theorem 1.53s 0.55s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 17 unt; 0 def)
% Number of atoms : 41 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 7 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 47 ( 35 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f971,plain,
$false,
inference(subsumption_resolution,[],[f970,f366]) ).
fof(f366,plain,
~ s_t(sK1,sK0,sK2),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
( ~ s_t(sK1,sK0,sK2)
& s_t(s(sK3,sK1),s(sK3,sK0),s(sK3,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f248,f249]) ).
fof(f249,plain,
( ? [X0,X1,X2,X3] :
( ~ s_t(X1,X0,X2)
& s_t(s(X3,X1),s(X3,X0),s(X3,X2)) )
=> ( ~ s_t(sK1,sK0,sK2)
& s_t(s(sK3,sK1),s(sK3,sK0),s(sK3,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
? [X0,X1,X2,X3] :
( ~ s_t(X1,X0,X2)
& s_t(s(X3,X1),s(X3,X0),s(X3,X2)) ),
inference(rectify,[],[f227]) ).
fof(f227,plain,
? [X0,X1,X3,X2] :
( ~ s_t(X1,X0,X3)
& s_t(s(X2,X1),s(X2,X0),s(X2,X3)) ),
inference(ennf_transformation,[],[f222]) ).
fof(f222,plain,
~ ! [X0,X2,X3,X1] :
( ~ s_t(s(X2,X1),s(X2,X0),s(X2,X3))
| s_t(X1,X0,X3) ),
inference(rectify,[],[f107]) ).
fof(f107,negated_conjecture,
~ ! [X15,X12,X11,X26] :
( s_t(X12,X15,X26)
| ~ s_t(s(X11,X12),s(X11,X15),s(X11,X26)) ),
inference(negated_conjecture,[],[f106]) ).
fof(f106,conjecture,
! [X15,X12,X11,X26] :
( s_t(X12,X15,X26)
| ~ s_t(s(X11,X12),s(X11,X15),s(X11,X26)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_15b) ).
fof(f970,plain,
s_t(sK1,sK0,sK2),
inference(forward_demodulation,[],[f969,f550]) ).
fof(f550,plain,
sK0 = s(sK3,sF5),
inference(superposition,[],[f343,f511]) ).
fof(f511,plain,
sF5 = s(sK3,sK0),
introduced(function_definition,[]) ).
fof(f343,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(rectify,[],[f99]) ).
fof(f99,axiom,
! [X11,X12] : s(X11,s(X11,X12)) = X12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f969,plain,
s_t(sK1,s(sK3,sF5),sK2),
inference(forward_demodulation,[],[f964,f565]) ).
fof(f565,plain,
s(sK3,sF6) = sK2,
inference(superposition,[],[f343,f512]) ).
fof(f512,plain,
sF6 = s(sK3,sK2),
introduced(function_definition,[]) ).
fof(f964,plain,
s_t(sK1,s(sK3,sF5),s(sK3,sF6)),
inference(superposition,[],[f643,f535]) ).
fof(f535,plain,
sK1 = s(sK3,sF4),
inference(superposition,[],[f343,f510]) ).
fof(f510,plain,
s(sK3,sK1) = sF4,
introduced(function_definition,[]) ).
fof(f643,plain,
! [X0] : s_t(s(X0,sF4),s(X0,sF5),s(X0,sF6)),
inference(resolution,[],[f334,f513]) ).
fof(f513,plain,
s_t(sF4,sF5,sF6),
inference(definition_folding,[],[f365,f512,f511,f510]) ).
fof(f365,plain,
s_t(s(sK3,sK1),s(sK3,sK0),s(sK3,sK2)),
inference(cnf_transformation,[],[f250]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( ~ s_t(X2,X1,X0)
| s_t(s(X3,X2),s(X3,X1),s(X3,X0)) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2,X3] :
( ~ s_t(X2,X1,X0)
| s_t(s(X3,X2),s(X3,X1),s(X3,X0)) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X2,X3,X0,X1] :
( ~ s_t(X0,X3,X2)
| s_t(s(X1,X0),s(X1,X3),s(X1,X2)) ),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X12,X11,X26,X15] :
( ~ s_t(X12,X15,X26)
| s_t(s(X11,X12),s(X11,X15),s(X11,X26)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_15a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO499+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 21:55:55 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.50 % (13509)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)
% 0.20/0.50 % (13511)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 % (13534)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)
% 0.20/0.50 % (13512)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (13520)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (13510)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)
% 0.20/0.51 % (13527)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)
% 0.20/0.51 % (13508)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)
% 0.20/0.51 % (13530)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)
% 0.20/0.51 % (13525)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (13521)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 % (13533)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 % (13523)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 % (13522)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)
% 0.20/0.52 % (13514)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)
% 0.20/0.52 % (13515)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (13535)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)
% 1.42/0.52 % (13513)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)
% 1.42/0.52 % (13537)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)
% 1.42/0.52 % (13528)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)
% 1.42/0.52 % (13529)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.42/0.52 % (13517)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)
% 1.42/0.53 % (13519)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)
% 1.42/0.53 % (13532)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.53 % (13518)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.53 % (13526)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.53 % (13536)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.54 % (13531)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)
% 1.42/0.54 % (13524)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)
% 1.53/0.54 % (13515)Instruction limit reached!
% 1.53/0.54 % (13515)------------------------------
% 1.53/0.54 % (13515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.54 % (13515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.54 % (13515)Termination reason: Unknown
% 1.53/0.54 % (13515)Termination phase: shuffling
% 1.53/0.54
% 1.53/0.54 % (13515)Memory used [KB]: 1279
% 1.53/0.54 % (13515)Time elapsed: 0.008 s
% 1.53/0.54 % (13515)Instructions burned: 7 (million)
% 1.53/0.54 % (13515)------------------------------
% 1.53/0.54 % (13515)------------------------------
% 1.53/0.55 % (13512)First to succeed.
% 1.53/0.55 % (13516)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.53/0.55 % (13516)Instruction limit reached!
% 1.53/0.55 % (13516)------------------------------
% 1.53/0.55 % (13516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (13516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (13516)Termination reason: Unknown
% 1.53/0.55 % (13516)Termination phase: Preprocessing 2
% 1.53/0.55
% 1.53/0.55 % (13516)Memory used [KB]: 1151
% 1.53/0.55 % (13516)Time elapsed: 0.003 s
% 1.53/0.55 % (13516)Instructions burned: 3 (million)
% 1.53/0.55 % (13516)------------------------------
% 1.53/0.55 % (13516)------------------------------
% 1.53/0.55 % (13512)Refutation found. Thanks to Tanya!
% 1.53/0.55 % SZS status Theorem for theBenchmark
% 1.53/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.55 % (13512)------------------------------
% 1.53/0.55 % (13512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (13512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (13512)Termination reason: Refutation
% 1.53/0.55
% 1.53/0.55 % (13512)Memory used [KB]: 6012
% 1.53/0.55 % (13512)Time elapsed: 0.161 s
% 1.53/0.55 % (13512)Instructions burned: 33 (million)
% 1.53/0.55 % (13512)------------------------------
% 1.53/0.55 % (13512)------------------------------
% 1.53/0.55 % (13507)Success in time 0.211 s
%------------------------------------------------------------------------------