TSTP Solution File: SWV189+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV189+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n012.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 18:55:46 EDT 2022
% Result : Theorem 1.52s 0.58s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 115 ( 22 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 116 ( 35 ~; 24 |; 39 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-3 aty)
% Number of variables : 51 ( 43 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f608,plain,
$false,
inference(subsumption_resolution,[],[f596,f332]) ).
fof(f332,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f596,plain,
gt(n0,n0),
inference(superposition,[],[f257,f592]) ).
fof(f592,plain,
n0 = tptp_minus_1,
inference(subsumption_resolution,[],[f586,f438]) ).
fof(f438,plain,
leq(tptp_minus_1,n0),
inference(resolution,[],[f346,f257]) ).
fof(f346,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f586,plain,
( n0 = tptp_minus_1
| ~ leq(tptp_minus_1,n0) ),
inference(resolution,[],[f582,f337]) ).
fof(f337,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| n0 = X0 ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0] :
( n0 = X0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f582,plain,
leq(n0,tptp_minus_1),
inference(resolution,[],[f512,f388]) ).
fof(f388,plain,
leq(sK31,tptp_minus_1),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(center_init,X0,n0)
| ~ leq(X0,n4) )
& leq(sK31,tptp_minus_1)
& leq(n0,sK32)
& init != a_select3(q_init,sK31,sK32)
& leq(sK32,n4)
& leq(n0,sK31) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f139,f241,f240]) ).
fof(f240,plain,
( ? [X1] :
( leq(X1,tptp_minus_1)
& ? [X2] :
( leq(n0,X2)
& init != a_select3(q_init,X1,X2)
& leq(X2,n4) )
& leq(n0,X1) )
=> ( leq(sK31,tptp_minus_1)
& ? [X2] :
( leq(n0,X2)
& init != a_select3(q_init,sK31,X2)
& leq(X2,n4) )
& leq(n0,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f241,plain,
( ? [X2] :
( leq(n0,X2)
& init != a_select3(q_init,sK31,X2)
& leq(X2,n4) )
=> ( leq(n0,sK32)
& init != a_select3(q_init,sK31,sK32)
& leq(sK32,n4) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
( ! [X0] :
( ~ leq(n0,X0)
| init = a_select3(center_init,X0,n0)
| ~ leq(X0,n4) )
& ? [X1] :
( leq(X1,tptp_minus_1)
& ? [X2] :
( leq(n0,X2)
& init != a_select3(q_init,X1,X2)
& leq(X2,n4) )
& leq(n0,X1) ) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
( ? [X1] :
( ? [X2] :
( init != a_select3(q_init,X1,X2)
& leq(X2,n4)
& leq(n0,X2) )
& leq(X1,tptp_minus_1)
& leq(n0,X1) )
& ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(n0,X0)
| ~ leq(X0,n4) ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
~ ( ! [X0] :
( ( leq(n0,X0)
& leq(X0,n4) )
=> init = a_select3(center_init,X0,n0) )
=> ! [X1] :
( ( leq(X1,tptp_minus_1)
& leq(n0,X1) )
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select3(q_init,X1,X2) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ! [X13] :
( ( leq(n0,X13)
& leq(X13,n4) )
=> a_select3(center_init,X13,n0) = init )
=> ! [X17] :
( ( leq(X17,tptp_minus_1)
& leq(n0,X17) )
=> ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select3(q_init,X17,X3) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ! [X13] :
( ( leq(n0,X13)
& leq(X13,n4) )
=> a_select3(center_init,X13,n0) = init )
=> ! [X17] :
( ( leq(X17,tptp_minus_1)
& leq(n0,X17) )
=> ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select3(q_init,X17,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0121) ).
fof(f512,plain,
! [X26] :
( ~ leq(sK31,X26)
| leq(n0,X26) ),
inference(resolution,[],[f323,f384]) ).
fof(f384,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f242]) ).
fof(f323,plain,
! [X2,X0,X1] :
( ~ leq(X2,X0)
| ~ leq(X0,X1)
| leq(X2,X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2] :
( leq(X2,X1)
| ~ leq(X0,X1)
| ~ leq(X2,X0) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X2,X1,X0] :
( leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(X0,X2) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(X0,X2) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ( leq(X2,X1)
& leq(X0,X2) )
=> leq(X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f257,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV189+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 19:04:50 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (18445)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)
% 0.20/0.49 % (18457)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.49 % (18452)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 % (18460)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)
% 0.20/0.51 % (18473)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51 % (18456)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)
% 0.20/0.51 % (18455)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (18458)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 % (18465)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)
% 0.20/0.51 % (18467)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)
% 0.20/0.52 % (18459)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 % (18447)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 % (18446)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)
% 0.20/0.52 % (18464)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)
% 0.20/0.53 % (18451)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)
% 0.20/0.53 % (18448)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)
% 0.20/0.53 % (18449)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (18450)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)
% 1.36/0.53 % (18469)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.36/0.53 % (18470)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.36/0.53 % (18452)Instruction limit reached!
% 1.36/0.53 % (18452)------------------------------
% 1.36/0.53 % (18452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (18452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (18452)Termination reason: Unknown
% 1.36/0.53 % (18452)Termination phase: Function definition elimination
% 1.36/0.53
% 1.36/0.53 % (18452)Memory used [KB]: 1151
% 1.36/0.53 % (18452)Time elapsed: 0.005 s
% 1.36/0.53 % (18452)Instructions burned: 7 (million)
% 1.36/0.53 % (18452)------------------------------
% 1.36/0.53 % (18452)------------------------------
% 1.36/0.53 % (18468)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)
% 1.36/0.53 % (18462)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.36/0.54 % (18461)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)
% 1.36/0.54 % (18472)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)
% 1.36/0.54 % (18474)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)
% 1.36/0.54 % (18471)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)
% 1.36/0.54 % (18454)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)
% 1.36/0.54 % (18453)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.36/0.55 % (18463)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.55 % (18466)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.52/0.55 TRYING [1]
% 1.52/0.55 % (18453)Instruction limit reached!
% 1.52/0.55 % (18453)------------------------------
% 1.52/0.55 % (18453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (18453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (18453)Termination reason: Unknown
% 1.52/0.55 % (18453)Termination phase: Preprocessing 3
% 1.52/0.55
% 1.52/0.55 % (18453)Memory used [KB]: 1023
% 1.52/0.55 % (18453)Time elapsed: 0.006 s
% 1.52/0.55 % (18453)Instructions burned: 3 (million)
% 1.52/0.55 % (18453)------------------------------
% 1.52/0.55 % (18453)------------------------------
% 1.52/0.55 % (18447)First to succeed.
% 1.52/0.56 TRYING [2]
% 1.52/0.58 % (18447)Refutation found. Thanks to Tanya!
% 1.52/0.58 % SZS status Theorem for theBenchmark
% 1.52/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.58 % (18447)------------------------------
% 1.52/0.58 % (18447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.58 % (18447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.58 % (18447)Termination reason: Refutation
% 1.52/0.58
% 1.52/0.58 % (18447)Memory used [KB]: 1407
% 1.52/0.58 % (18447)Time elapsed: 0.151 s
% 1.52/0.58 % (18447)Instructions burned: 23 (million)
% 1.52/0.58 % (18447)------------------------------
% 1.52/0.58 % (18447)------------------------------
% 1.52/0.58 % (18444)Success in time 0.227 s
%------------------------------------------------------------------------------