TSTP Solution File: SWV155+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV155+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 : 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 18:55:40 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 129 ( 46 equ)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 149 ( 39 ~; 21 |; 73 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-3 aty)
% Number of variables : 25 ( 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f452,plain,
$false,
inference(subsumption_resolution,[],[f451,f272]) ).
fof(f272,plain,
n1 != sum(n0,n4,a_select3(q,sK6,tptp_sum_index)),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( leq(n0,pv12)
& leq(pv10,n135299)
& leq(n0,sK6)
& n1 != sum(n0,n4,a_select3(q,sK6,tptp_sum_index))
& pv10 != sK6
& leq(sK6,pred(pv10))
& leq(pv12,n4)
& leq(n0,pv10)
& ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index)) )
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X2] :
( ~ leq(X2,pred(pv12))
| divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X2)
| ~ leq(n0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f191,f192]) ).
fof(f192,plain,
( ? [X0] :
( leq(n0,X0)
& n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& pv10 != X0
& leq(X0,pred(pv10)) )
=> ( leq(n0,sK6)
& n1 != sum(n0,n4,a_select3(q,sK6,tptp_sum_index))
& pv10 != sK6
& leq(sK6,pred(pv10)) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
( leq(n0,pv12)
& leq(pv10,n135299)
& ? [X0] :
( leq(n0,X0)
& n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
& pv10 != X0
& leq(X0,pred(pv10)) )
& leq(pv12,n4)
& leq(n0,pv10)
& ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index)) )
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X2] :
( ~ leq(X2,pred(pv12))
| divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X2)
| ~ leq(n0,X2) ) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
( leq(n0,pv12)
& leq(pv10,n135299)
& ? [X2] :
( leq(n0,X2)
& n1 != sum(n0,n4,a_select3(q,X2,tptp_sum_index))
& pv10 != X2
& leq(X2,pred(pv10)) )
& leq(pv12,n4)
& leq(n0,pv10)
& ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X1] :
( ~ leq(X1,pred(pv12))
| a_select3(q,pv10,X1) = divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
| ~ leq(n0,X1) ) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
( ? [X2] :
( n1 != sum(n0,n4,a_select3(q,X2,tptp_sum_index))
& pv10 != X2
& leq(X2,pred(pv10))
& leq(n0,X2) )
& leq(n0,pv10)
& leq(n0,pv12)
& ! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) )
& leq(pv10,n135299)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X1] :
( a_select3(q,pv10,X1) = divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
| ~ leq(X1,pred(pv12))
| ~ leq(n0,X1) )
& leq(pv12,n4) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
~ ( ( leq(n0,pv10)
& leq(n0,pv12)
& ! [X0] :
( ( leq(X0,pred(pv10))
& leq(n0,X0) )
=> n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
& leq(pv10,n135299)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X1] :
( ( leq(X1,pred(pv12))
& leq(n0,X1) )
=> a_select3(q,pv10,X1) = divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& leq(pv12,n4) )
=> ! [X2] :
( ( leq(X2,pred(pv10))
& leq(n0,X2) )
=> ( pv10 != X2
=> n1 = sum(n0,n4,a_select3(q,X2,tptp_sum_index)) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv12,n4)
& leq(n0,pv10)
& ! [X17] :
( ( leq(X17,pred(pv10))
& leq(n0,X17) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
& leq(pv10,n135299)
& leq(n0,pv12)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X13] :
( ( leq(X13,pred(pv12))
& leq(n0,X13) )
=> a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) )
=> ! [X3] :
( ( leq(n0,X3)
& leq(X3,pred(pv10)) )
=> ( pv10 != X3
=> n1 = sum(n0,n4,a_select3(q,X3,tptp_sum_index)) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv12,n4)
& leq(n0,pv10)
& ! [X17] :
( ( leq(X17,pred(pv10))
& leq(n0,X17) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
& leq(pv10,n135299)
& leq(n0,pv12)
& pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
& ! [X13] :
( ( leq(X13,pred(pv12))
& leq(n0,X13) )
=> a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) )
=> ! [X3] :
( ( leq(n0,X3)
& leq(X3,pred(pv10)) )
=> ( pv10 != X3
=> n1 = sum(n0,n4,a_select3(q,X3,tptp_sum_index)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0005) ).
fof(f451,plain,
n1 = sum(n0,n4,a_select3(q,sK6,tptp_sum_index)),
inference(subsumption_resolution,[],[f450,f273]) ).
fof(f273,plain,
leq(n0,sK6),
inference(cnf_transformation,[],[f193]) ).
fof(f450,plain,
( ~ leq(n0,sK6)
| n1 = sum(n0,n4,a_select3(q,sK6,tptp_sum_index)) ),
inference(resolution,[],[f423,f422]) ).
fof(f422,plain,
leq(sK6,minus(pv10,n1)),
inference(definition_unfolding,[],[f270,f383]) ).
fof(f383,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f270,plain,
leq(sK6,pred(pv10)),
inference(cnf_transformation,[],[f193]) ).
fof(f423,plain,
! [X1] :
( ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1)
| n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index)) ),
inference(definition_unfolding,[],[f267,f383]) ).
fof(f267,plain,
! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index)) ),
inference(cnf_transformation,[],[f193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV155+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.14 % 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 : n002.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 19:16:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (9562)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (9578)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)
% 0.20/0.51 % (9558)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)
% 0.20/0.52 % (9577)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 % (9562)Instruction limit reached!
% 0.20/0.52 % (9562)------------------------------
% 0.20/0.52 % (9562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9562)Termination reason: Unknown
% 0.20/0.52 % (9562)Termination phase: Function definition elimination
% 0.20/0.52
% 0.20/0.52 % (9562)Memory used [KB]: 1151
% 0.20/0.52 % (9562)Time elapsed: 0.007 s
% 0.20/0.52 % (9562)Instructions burned: 7 (million)
% 0.20/0.52 % (9562)------------------------------
% 0.20/0.52 % (9562)------------------------------
% 0.20/0.53 % (9571)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)
% 0.20/0.53 % (9569)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 % (9577)First to succeed.
% 0.20/0.54 % (9570)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)
% 0.20/0.54 % (9577)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 % (9577)------------------------------
% 0.20/0.54 % (9577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (9577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (9577)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (9577)Memory used [KB]: 1279
% 0.20/0.54 % (9577)Time elapsed: 0.124 s
% 0.20/0.54 % (9577)Instructions burned: 12 (million)
% 0.20/0.54 % (9577)------------------------------
% 0.20/0.54 % (9577)------------------------------
% 0.20/0.54 % (9554)Success in time 0.183 s
%------------------------------------------------------------------------------