TSTP Solution File: SWV381+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV381+1 : TPTP v8.1.0. Released 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 : n029.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 18:56:40 EDT 2022
% Result : Theorem 2.01s 0.64s
% Output : Refutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 9 unt; 0 def)
% Number of atoms : 107 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 105 ( 44 ~; 32 |; 14 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 103 ( 90 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f319,plain,
$false,
inference(subsumption_resolution,[],[f318,f313]) ).
fof(f313,plain,
contains_pq(i(triple(sK2,sK3,sK1)),sK0(i(triple(sK2,sK3,sK1)),removemin_cpq_res(triple(sK2,sK3,sK1)))),
inference(resolution,[],[f221,f287]) ).
fof(f287,plain,
~ issmallestelement_pq(i(triple(sK2,sK3,sK1)),removemin_cpq_res(triple(sK2,sK3,sK1))),
inference(definition_unfolding,[],[f223,f268]) ).
fof(f268,plain,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f223,plain,
~ issmallestelement_pq(i(triple(sK2,sK3,sK1)),findmin_cpq_res(triple(sK2,sK3,sK1))),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
( phi(findmin_cpq_eff(triple(sK2,sK3,sK1)))
& ~ issmallestelement_pq(i(triple(sK2,sK3,sK1)),findmin_cpq_res(triple(sK2,sK3,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f166,f167]) ).
fof(f167,plain,
( ? [X0,X1,X2] :
( phi(findmin_cpq_eff(triple(X1,X2,X0)))
& ~ issmallestelement_pq(i(triple(X1,X2,X0)),findmin_cpq_res(triple(X1,X2,X0))) )
=> ( phi(findmin_cpq_eff(triple(sK2,sK3,sK1)))
& ~ issmallestelement_pq(i(triple(sK2,sK3,sK1)),findmin_cpq_res(triple(sK2,sK3,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
? [X0,X1,X2] :
( phi(findmin_cpq_eff(triple(X1,X2,X0)))
& ~ issmallestelement_pq(i(triple(X1,X2,X0)),findmin_cpq_res(triple(X1,X2,X0))) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
? [X2,X0,X1] :
( phi(findmin_cpq_eff(triple(X0,X1,X2)))
& ~ issmallestelement_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,negated_conjecture,
~ ! [X1,X2,X0] :
( phi(findmin_cpq_eff(triple(X0,X1,X2)))
=> issmallestelement_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
inference(negated_conjecture,[],[f65]) ).
fof(f65,conjecture,
! [X1,X2,X0] :
( phi(findmin_cpq_eff(triple(X0,X1,X2)))
=> issmallestelement_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l17_co) ).
fof(f221,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
| contains_pq(X0,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
| ( contains_pq(X0,sK0(X0,X1))
& ~ less_than(X1,sK0(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f163,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ? [X2] :
( contains_pq(X0,X2)
& ~ less_than(X1,X2) )
=> ( contains_pq(X0,sK0(X0,X1))
& ~ less_than(X1,sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
| ? [X2] :
( contains_pq(X0,X2)
& ~ less_than(X1,X2) ) ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
! [X1,X0] :
( issmallestelement_pq(X1,X0)
| ? [X2] :
( contains_pq(X1,X2)
& ~ less_than(X0,X2) ) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ! [X2] :
( contains_pq(X1,X2)
=> less_than(X0,X2) )
=> issmallestelement_pq(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( issmallestelement_pq(X1,X0)
<=> ! [X2] :
( contains_pq(X1,X2)
=> less_than(X0,X2) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( ! [X2] :
( contains_pq(X0,X2)
=> less_than(X1,X2) )
<=> issmallestelement_pq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f318,plain,
~ contains_pq(i(triple(sK2,sK3,sK1)),sK0(i(triple(sK2,sK3,sK1)),removemin_cpq_res(triple(sK2,sK3,sK1)))),
inference(resolution,[],[f317,f309]) ).
fof(f309,plain,
~ less_than(removemin_cpq_res(triple(sK2,sK3,sK1)),sK0(i(triple(sK2,sK3,sK1)),removemin_cpq_res(triple(sK2,sK3,sK1)))),
inference(resolution,[],[f220,f287]) ).
fof(f220,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
| ~ less_than(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f317,plain,
! [X0] :
( less_than(removemin_cpq_res(triple(sK2,sK3,sK1)),X0)
| ~ contains_pq(i(triple(sK2,sK3,sK1)),X0) ),
inference(resolution,[],[f316,f298]) ).
fof(f298,plain,
! [X0] :
( ~ strictly_less_than(X0,removemin_cpq_res(triple(sK2,sK3,sK1)))
| ~ contains_pq(i(triple(sK2,sK3,sK1)),X0) ),
inference(resolution,[],[f297,f224]) ).
fof(f224,plain,
phi(findmin_cpq_eff(triple(sK2,sK3,sK1))),
inference(cnf_transformation,[],[f168]) ).
fof(f297,plain,
! [X2,X3,X0,X1] :
( ~ phi(findmin_cpq_eff(triple(X1,X2,X3)))
| ~ contains_pq(i(triple(X1,X2,X3)),X0)
| ~ strictly_less_than(X0,removemin_cpq_res(triple(X1,X2,X3))) ),
inference(resolution,[],[f289,f216]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( contains_cpq(triple(X1,X3,X0),X2)
| ~ contains_pq(i(triple(X1,X3,X0)),X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( ( contains_cpq(triple(X1,X3,X0),X2)
| ~ contains_pq(i(triple(X1,X3,X0)),X2) )
& ( contains_pq(i(triple(X1,X3,X0)),X2)
| ~ contains_cpq(triple(X1,X3,X0),X2) ) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( contains_cpq(triple(X1,X3,X0),X2)
<=> contains_pq(i(triple(X1,X3,X0)),X2) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X2,X0,X3,X1] :
( contains_pq(i(triple(X0,X1,X2)),X3)
<=> contains_cpq(triple(X0,X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l17_li56) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( ~ contains_cpq(triple(X0,X2,X1),X3)
| ~ strictly_less_than(X3,removemin_cpq_res(triple(X0,X2,X1)))
| ~ phi(findmin_cpq_eff(triple(X0,X2,X1))) ),
inference(definition_unfolding,[],[f249,f268]) ).
fof(f249,plain,
! [X2,X3,X0,X1] :
( ~ phi(findmin_cpq_eff(triple(X0,X2,X1)))
| ~ strictly_less_than(X3,findmin_cpq_res(triple(X0,X2,X1)))
| ~ contains_cpq(triple(X0,X2,X1),X3) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2] :
( ~ phi(findmin_cpq_eff(triple(X0,X2,X1)))
| ! [X3] :
( ~ strictly_less_than(X3,findmin_cpq_res(triple(X0,X2,X1)))
| ~ contains_cpq(triple(X0,X2,X1),X3) ) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X0,X2,X1] :
( ~ phi(findmin_cpq_eff(triple(X0,X1,X2)))
| ! [X3] :
( ~ strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2)))
| ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0,X1,X2] :
( ? [X3] :
( contains_cpq(triple(X0,X1,X2),X3)
& strictly_less_than(X3,findmin_cpq_res(triple(X0,X1,X2))) )
=> ~ phi(findmin_cpq_eff(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l17_l18) ).
fof(f316,plain,
! [X0,X1] :
( strictly_less_than(X1,X0)
| less_than(X0,X1) ),
inference(subsumption_resolution,[],[f211,f217]) ).
fof(f217,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( less_than(X0,X1)
| less_than(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality) ).
fof(f211,plain,
! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(X1,X0)
| ~ less_than(X1,X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ less_than(X1,X0)
| strictly_less_than(X1,X0)
| less_than(X0,X1) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X1,X0] :
( ~ less_than(X0,X1)
| strictly_less_than(X0,X1)
| less_than(X1,X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X1,X0] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
! [X1,X0] :
( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
=> strictly_less_than(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( strictly_less_than(X0,X1)
<=> ( ~ less_than(X1,X0)
& less_than(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stricly_smaller_definition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV381+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 19:30:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.56 % (4099)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)
% 0.21/0.57 % (4115)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.58 % (4098)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)
% 0.21/0.58 % (4108)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.59 % (4117)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)
% 0.21/0.59 % (4103)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)
% 0.21/0.59 % (4124)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)
% 0.21/0.59 % (4116)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.59 % (4121)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)
% 0.21/0.59 % (4101)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)
% 1.65/0.60 % (4107)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)
% 1.65/0.60 TRYING [1]
% 1.65/0.60 % (4126)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.65/0.60 % (4114)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)
% 1.65/0.60 % (4102)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.65/0.60 % (4112)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)
% 1.65/0.61 % (4105)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.65/0.61 % (4109)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)
% 1.65/0.61 TRYING [2]
% 1.65/0.61 % (4106)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.65/0.61 % (4120)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)
% 1.65/0.62 TRYING [1]
% 1.65/0.62 % (4113)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)
% 1.65/0.62 TRYING [2]
% 2.01/0.62 % (4106)Instruction limit reached!
% 2.01/0.62 % (4106)------------------------------
% 2.01/0.62 % (4106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.62 % (4104)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)
% 2.01/0.62 % (4106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.62 % (4106)Termination reason: Unknown
% 2.01/0.62 % (4106)Termination phase: Preprocessing 1
% 2.01/0.62
% 2.01/0.62 % (4106)Memory used [KB]: 895
% 2.01/0.62 % (4106)Time elapsed: 0.003 s
% 2.01/0.62 % (4106)Instructions burned: 2 (million)
% 2.01/0.62 % (4106)------------------------------
% 2.01/0.62 % (4106)------------------------------
% 2.01/0.62 % (4120)First to succeed.
% 2.01/0.62 % (4105)Instruction limit reached!
% 2.01/0.62 % (4105)------------------------------
% 2.01/0.62 % (4105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.62 % (4105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.62 % (4105)Termination reason: Unknown
% 2.01/0.62 % (4105)Termination phase: Saturation
% 2.01/0.62
% 2.01/0.62 % (4105)Memory used [KB]: 5628
% 2.01/0.62 % (4105)Time elapsed: 0.133 s
% 2.01/0.62 % (4105)Instructions burned: 8 (million)
% 2.01/0.62 % (4105)------------------------------
% 2.01/0.62 % (4105)------------------------------
% 2.01/0.63 % (4100)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)
% 2.01/0.63 % (4111)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.01/0.64 % (4122)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.01/0.64 % (4125)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)
% 2.01/0.64 % (4127)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)
% 2.01/0.64 % (4120)Refutation found. Thanks to Tanya!
% 2.01/0.64 % SZS status Theorem for theBenchmark
% 2.01/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.01/0.64 % (4120)------------------------------
% 2.01/0.64 % (4120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.64 % (4120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64 % (4120)Termination reason: Refutation
% 2.01/0.64
% 2.01/0.64 % (4120)Memory used [KB]: 1151
% 2.01/0.64 % (4120)Time elapsed: 0.190 s
% 2.01/0.64 % (4120)Instructions burned: 7 (million)
% 2.01/0.64 % (4120)------------------------------
% 2.01/0.64 % (4120)------------------------------
% 2.01/0.64 % (4097)Success in time 0.282 s
%------------------------------------------------------------------------------