TSTP Solution File: SWV163+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV163+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 : n013.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 18:55:41 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 14 unt; 0 def)
% Number of atoms : 104 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 98 ( 31 ~; 21 |; 32 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 40 ( 37 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1199,plain,
$false,
inference(subsumption_resolution,[],[f1198,f604]) ).
fof(f604,plain,
~ leq(n0,tptp_minus_1),
inference(resolution,[],[f598,f396]) ).
fof(f396,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f598,plain,
! [X3] :
( gt(X3,tptp_minus_1)
| ~ leq(n0,X3) ),
inference(superposition,[],[f414,f413]) ).
fof(f413,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f281,f385]) ).
fof(f385,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f281,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f414,plain,
! [X0,X1] :
( ~ leq(plus(X0,n1),X1)
| gt(X1,X0) ),
inference(definition_unfolding,[],[f291,f385]) ).
fof(f291,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f1198,plain,
leq(n0,tptp_minus_1),
inference(backward_demodulation,[],[f380,f1152]) ).
fof(f1152,plain,
n0 = sK27,
inference(subsumption_resolution,[],[f1106,f774]) ).
fof(f774,plain,
leq(sK27,n0),
inference(resolution,[],[f754,f380]) ).
fof(f754,plain,
! [X3] :
( ~ leq(X3,tptp_minus_1)
| leq(X3,n0) ),
inference(superposition,[],[f417,f413]) ).
fof(f417,plain,
! [X0,X1] :
( leq(X1,plus(X0,n1))
| ~ leq(X1,X0) ),
inference(definition_unfolding,[],[f304,f385]) ).
fof(f304,plain,
! [X0,X1] :
( leq(X1,succ(X0))
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1] :
( leq(X1,succ(X0))
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( leq(X1,X0)
=> leq(X1,succ(X0)) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( leq(X0,X1)
=> leq(X0,succ(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ) ).
fof(f1106,plain,
( n0 = sK27
| ~ leq(sK27,n0) ),
inference(resolution,[],[f308,f381]) ).
fof(f381,plain,
leq(n0,sK27),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
( ! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(n0,X0)
| ~ leq(X0,pred(pv10)) )
& leq(n0,pv10)
& leq(n0,sK27)
& leq(sK27,tptp_minus_1)
& divide(sqrt(times(minus(a_select3(center,sK27,n0),a_select2(x,pv10)),minus(a_select3(center,sK27,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,sK27)
& leq(pv10,n135299) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f148,f240]) ).
fof(f240,plain,
( ? [X1] :
( leq(n0,X1)
& leq(X1,tptp_minus_1)
& 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)))))) != a_select3(q,pv10,X1) )
=> ( leq(n0,sK27)
& leq(sK27,tptp_minus_1)
& divide(sqrt(times(minus(a_select3(center,sK27,n0),a_select2(x,pv10)),minus(a_select3(center,sK27,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,sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(n0,X0)
| ~ leq(X0,pred(pv10)) )
& leq(n0,pv10)
& ? [X1] :
( leq(n0,X1)
& leq(X1,tptp_minus_1)
& 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)))))) != a_select3(q,pv10,X1) )
& leq(pv10,n135299) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
( ? [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)))))) != a_select3(q,pv10,X1)
& leq(X1,tptp_minus_1)
& leq(n0,X1) )
& ! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
~ ( ( ! [X0] :
( ( leq(X0,pred(pv10))
& leq(n0,X0) )
=> n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X1] :
( ( leq(X1,tptp_minus_1)
& leq(n0,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)))))) = a_select3(q,pv10,X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(pv10,n135299)
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv10)) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) ) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,tptp_minus_1) )
=> a_select3(q,pv10,X17) = divide(sqrt(times(minus(a_select3(center,X17,n0),a_select2(x,pv10)),minus(a_select3(center,X17,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)))))) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(n0,pv10)
& leq(pv10,n135299)
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv10)) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) ) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,tptp_minus_1) )
=> a_select3(q,pv10,X17) = divide(sqrt(times(minus(a_select3(center,X17,n0),a_select2(x,pv10)),minus(a_select3(center,X17,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)))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0013) ).
fof(f308,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ~ leq(X0,n0)
| n0 = X0
| ~ leq(n0,X0) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f380,plain,
leq(sK27,tptp_minus_1),
inference(cnf_transformation,[],[f241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV163+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:01:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (21461)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 % (21458)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 % (21462)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 % (21451)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 % (21463)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 % (21471)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 % (21454)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 % (21453)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (21477)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (21474)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 % (21469)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)
% 0.20/0.52 % (21466)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (21455)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 % (21450)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 % (21449)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 % (21475)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 % (21478)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)
% 0.20/0.53 % (21452)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 % (21476)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)
% 0.20/0.53 % (21465)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 % (21464)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)
% 0.20/0.53 % (21467)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (21468)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 % (21470)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (21457)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (21457)Instruction limit reached!
% 0.20/0.53 % (21457)------------------------------
% 0.20/0.53 % (21457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (21457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (21457)Termination reason: Unknown
% 0.20/0.53 % (21457)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (21457)Memory used [KB]: 1023
% 0.20/0.53 % (21457)Time elapsed: 0.002 s
% 0.20/0.53 % (21457)Instructions burned: 3 (million)
% 0.20/0.53 % (21457)------------------------------
% 0.20/0.53 % (21457)------------------------------
% 0.20/0.54 % (21473)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (21460)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)
% 0.20/0.54 % (21459)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (21456)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (21456)Instruction limit reached!
% 0.20/0.54 % (21456)------------------------------
% 0.20/0.54 % (21456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (21456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (21456)Termination reason: Unknown
% 0.20/0.54 % (21456)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (21456)Memory used [KB]: 1151
% 0.20/0.54 % (21456)Time elapsed: 0.005 s
% 0.20/0.54 % (21456)Instructions burned: 9 (million)
% 0.20/0.54 % (21456)------------------------------
% 0.20/0.54 % (21456)------------------------------
% 0.20/0.55 % (21472)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)
% 0.20/0.56 % (21454)First to succeed.
% 0.20/0.56 TRYING [1]
% 0.20/0.57 TRYING [2]
% 0.20/0.57 % (21454)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (21454)------------------------------
% 0.20/0.57 % (21454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (21454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (21454)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (21454)Memory used [KB]: 6012
% 0.20/0.57 % (21454)Time elapsed: 0.167 s
% 0.20/0.57 % (21454)Instructions burned: 35 (million)
% 0.20/0.57 % (21454)------------------------------
% 0.20/0.57 % (21454)------------------------------
% 0.20/0.57 % (21448)Success in time 0.222 s
%------------------------------------------------------------------------------