TSTP Solution File: SEU140+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU140+2 : 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 : n028.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 18:32:06 EDT 2022
% Result : Theorem 1.85s 0.62s
% Output : Refutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 11 unt; 0 def)
% Number of atoms : 177 ( 16 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 204 ( 73 ~; 62 |; 56 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 105 ( 84 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f408,plain,
$false,
inference(subsumption_resolution,[],[f407,f328]) ).
fof(f328,plain,
in(sK1(sK2,sK3),sK3),
inference(resolution,[],[f199,f204]) ).
fof(f204,plain,
~ disjoint(sK2,sK3),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ~ disjoint(sK2,sK3)
& subset(sK2,sK4)
& disjoint(sK4,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f133,f134]) ).
fof(f134,plain,
( ? [X0,X1,X2] :
( ~ disjoint(X0,X1)
& subset(X0,X2)
& disjoint(X2,X1) )
=> ( ~ disjoint(sK2,sK3)
& subset(sK2,sK4)
& disjoint(sK4,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
? [X0,X1,X2] :
( ~ disjoint(X0,X1)
& subset(X0,X2)
& disjoint(X2,X1) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
? [X0,X2,X1] :
( ~ disjoint(X0,X2)
& subset(X0,X1)
& disjoint(X1,X2) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
? [X2,X0,X1] :
( ~ disjoint(X0,X2)
& subset(X0,X1)
& disjoint(X1,X2) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,negated_conjecture,
~ ! [X2,X0,X1] :
( ( subset(X0,X1)
& disjoint(X1,X2) )
=> disjoint(X0,X2) ),
inference(negated_conjecture,[],[f51]) ).
fof(f51,conjecture,
! [X2,X0,X1] :
( ( subset(X0,X1)
& disjoint(X1,X2) )
=> disjoint(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_xboole_1) ).
fof(f199,plain,
! [X0,X1] :
( disjoint(X0,X1)
| in(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( ( in(sK1(X0,X1),X0)
& in(sK1(X0,X1),X1) )
| disjoint(X0,X1) )
& ( ~ disjoint(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X3,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f129,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
& in(X2,X1) )
=> ( in(sK1(X0,X1),X0)
& in(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0,X1] :
( ( ? [X2] :
( in(X2,X0)
& in(X2,X1) )
| disjoint(X0,X1) )
& ( ~ disjoint(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X3,X1) ) ) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X1,X0] :
( ( ? [X2] :
( in(X2,X1)
& in(X2,X0) )
| disjoint(X1,X0) )
& ( ~ disjoint(X1,X0)
| ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,X0) ) ) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X1,X0] :
( ~ ( ! [X2] :
~ ( in(X2,X1)
& in(X2,X0) )
& ~ disjoint(X1,X0) )
& ~ ( ? [X3] :
( in(X3,X1)
& in(X3,X0) )
& disjoint(X1,X0) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X1,X0] :
( ~ ( ~ disjoint(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& in(X2,X0) ) )
& ~ ( ? [X2] :
( in(X2,X0)
& in(X2,X1) )
& disjoint(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(f407,plain,
~ in(sK1(sK2,sK3),sK3),
inference(resolution,[],[f400,f394]) ).
fof(f394,plain,
in(sK1(sK2,sK3),sK4),
inference(superposition,[],[f372,f353]) ).
fof(f353,plain,
set_union2(sK2,sK4) = sK4,
inference(resolution,[],[f238,f203]) ).
fof(f203,plain,
subset(sK2,sK4),
inference(cnf_transformation,[],[f135]) ).
fof(f238,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| set_union2(X1,X0) = X0 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| set_union2(X1,X0) = X0 ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( subset(X1,X0)
=> set_union2(X1,X0) = X0 ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X1,X0] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f372,plain,
! [X3] : in(sK1(sK2,sK3),set_union2(sK2,X3)),
inference(resolution,[],[f282,f331]) ).
fof(f331,plain,
in(sK1(sK2,sK3),sK2),
inference(resolution,[],[f200,f204]) ).
fof(f200,plain,
! [X0,X1] :
( disjoint(X0,X1)
| in(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f282,plain,
! [X2,X1,X4] :
( ~ in(X4,X2)
| in(X4,set_union2(X2,X1)) ),
inference(equality_resolution,[],[f226]) ).
fof(f226,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_union2(X2,X1) != X0 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2] :
( ( set_union2(X2,X1) = X0
| ( ( ~ in(sK8(X0,X1,X2),X0)
| ( ~ in(sK8(X0,X1,X2),X1)
& ~ in(sK8(X0,X1,X2),X2) ) )
& ( in(sK8(X0,X1,X2),X0)
| in(sK8(X0,X1,X2),X1)
| in(sK8(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X1)
| in(X4,X2)
| ~ in(X4,X0) )
& ( in(X4,X0)
| ( ~ in(X4,X1)
& ~ in(X4,X2) ) ) )
| set_union2(X2,X1) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f155,f156]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X0)
| ( ~ in(X3,X1)
& ~ in(X3,X2) ) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) )
=> ( ( ~ in(sK8(X0,X1,X2),X0)
| ( ~ in(sK8(X0,X1,X2),X1)
& ~ in(sK8(X0,X1,X2),X2) ) )
& ( in(sK8(X0,X1,X2),X0)
| in(sK8(X0,X1,X2),X1)
| in(sK8(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ( set_union2(X2,X1) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| ( ~ in(X3,X1)
& ~ in(X3,X2) ) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X1)
| in(X4,X2)
| ~ in(X4,X0) )
& ( in(X4,X0)
| ( ~ in(X4,X1)
& ~ in(X4,X2) ) ) )
| set_union2(X2,X1) != X0 ) ),
inference(rectify,[],[f154]) ).
fof(f154,plain,
! [X0,X2,X1] :
( ( set_union2(X1,X2) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| ( ~ in(X3,X2)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X2)
| in(X3,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| in(X3,X1)
| ~ in(X3,X0) )
& ( in(X3,X0)
| ( ~ in(X3,X2)
& ~ in(X3,X1) ) ) )
| set_union2(X1,X2) != X0 ) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0,X2,X1] :
( ( set_union2(X1,X2) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| ( ~ in(X3,X2)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X2)
| in(X3,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| in(X3,X1)
| ~ in(X3,X0) )
& ( in(X3,X0)
| ( ~ in(X3,X2)
& ~ in(X3,X1) ) ) )
| set_union2(X1,X2) != X0 ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X2,X1] :
( set_union2(X1,X2) = X0
<=> ! [X3] :
( ( in(X3,X2)
| in(X3,X1) )
<=> in(X3,X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) )
<=> set_union2(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f400,plain,
! [X1] :
( ~ in(X1,sK4)
| ~ in(X1,sK3) ),
inference(resolution,[],[f198,f303]) ).
fof(f303,plain,
disjoint(sK3,sK4),
inference(resolution,[],[f184,f202]) ).
fof(f202,plain,
disjoint(sK4,sK3),
inference(cnf_transformation,[],[f135]) ).
fof(f184,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( ~ disjoint(X1,X0)
| disjoint(X0,X1) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( disjoint(X1,X0)
=> disjoint(X0,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X1,X0] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f198,plain,
! [X3,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X3,X0)
| ~ in(X3,X1) ),
inference(cnf_transformation,[],[f131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU140+2 : TPTP v8.1.0. Released 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 : n028.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 14:52:33 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.53 % (27302)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)
% 0.21/0.54 % (27298)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (27291)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)
% 0.21/0.55 % (27288)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)
% 0.21/0.56 % (27293)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)
% 0.21/0.56 % (27299)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)
% 0.21/0.56 % (27310)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)
% 0.21/0.56 % (27290)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)
% 0.21/0.57 % (27311)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)
% 1.51/0.57 % (27297)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)
% 1.51/0.57 % (27306)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.51/0.58 % (27303)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)
% 1.51/0.58 % (27289)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)
% 1.51/0.58 TRYING [1]
% 1.51/0.58 % (27294)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)
% 1.51/0.58 TRYING [2]
% 1.51/0.58 % (27312)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.51/0.58 % (27308)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)
% 1.85/0.59 % (27292)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.85/0.59 % (27295)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.85/0.59 % (27304)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)
% 1.85/0.59 % (27313)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.85/0.59 % (27300)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.85/0.60 % (27316)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.85/0.60 % (27296)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.85/0.60 % (27309)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.85/0.60 % (27296)Instruction limit reached!
% 1.85/0.60 % (27296)------------------------------
% 1.85/0.60 % (27296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.60 % (27296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.60 % (27296)Termination reason: Unknown
% 1.85/0.60 % (27296)Termination phase: shuffling
% 1.85/0.60
% 1.85/0.60 % (27296)Memory used [KB]: 895
% 1.85/0.60 % (27296)Time elapsed: 0.002 s
% 1.85/0.60 % (27296)Instructions burned: 2 (million)
% 1.85/0.60 % (27296)------------------------------
% 1.85/0.60 % (27296)------------------------------
% 1.85/0.60 % (27311)First to succeed.
% 1.85/0.60 TRYING [3]
% 1.85/0.60 TRYING [1]
% 1.85/0.60 TRYING [2]
% 1.85/0.61 % (27315)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)
% 1.85/0.61 % (27314)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)
% 1.85/0.61 % (27295)Instruction limit reached!
% 1.85/0.61 % (27295)------------------------------
% 1.85/0.61 % (27295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.61 % (27295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.61 % (27295)Termination reason: Unknown
% 1.85/0.61 % (27295)Termination phase: Saturation
% 1.85/0.61
% 1.85/0.61 % (27295)Memory used [KB]: 5628
% 1.85/0.61 % (27295)Time elapsed: 0.140 s
% 1.85/0.61 % (27295)Instructions burned: 8 (million)
% 1.85/0.61 % (27295)------------------------------
% 1.85/0.61 % (27295)------------------------------
% 1.85/0.62 % (27310)Also succeeded, but the first one will report.
% 1.85/0.62 % (27291)Also succeeded, but the first one will report.
% 1.85/0.62 % (27311)Refutation found. Thanks to Tanya!
% 1.85/0.62 % SZS status Theorem for theBenchmark
% 1.85/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.62 % (27311)------------------------------
% 1.85/0.62 % (27311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.62 % (27311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.62 % (27311)Termination reason: Refutation
% 1.85/0.62
% 1.85/0.62 % (27311)Memory used [KB]: 5628
% 1.85/0.62 % (27311)Time elapsed: 0.120 s
% 1.85/0.62 % (27311)Instructions burned: 10 (million)
% 1.85/0.62 % (27311)------------------------------
% 1.85/0.62 % (27311)------------------------------
% 1.85/0.62 % (27287)Success in time 0.267 s
%------------------------------------------------------------------------------