TSTP Solution File: SEU186+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU186+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 : n023.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 18:32:24 EDT 2022
% Result : Theorem 1.51s 0.59s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 59 ( 18 unt; 0 def)
% Number of atoms : 126 ( 36 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 124 ( 57 ~; 38 |; 14 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 95 ( 83 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(avatar_sat_refutation,[],[f127,f132,f141]) ).
fof(f141,plain,
( ~ spl8_1
| spl8_2 ),
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| ~ spl8_1
| spl8_2 ),
inference(subsumption_resolution,[],[f139,f125]) ).
fof(f125,plain,
( ~ empty(sK5)
| spl8_2 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl8_2
<=> empty(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f139,plain,
( empty(sK5)
| ~ spl8_1 ),
inference(resolution,[],[f133,f108]) ).
fof(f108,plain,
! [X0] :
( in(sK2(X0),X0)
| empty(X0) ),
inference(resolution,[],[f65,f67]) ).
fof(f67,plain,
! [X0] : element(sK2(X0),X0),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] : element(sK2(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f11,f47]) ).
fof(f47,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK2(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f11,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f65,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( in(X0,X1)
| ~ element(X0,X1)
| empty(X1) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f133,plain,
( ~ in(sK2(sK5),sK5)
| ~ spl8_1 ),
inference(superposition,[],[f107,f122]) ).
fof(f122,plain,
( sK2(sK5) = unordered_pair(singleton(sK1(sK2(sK5))),unordered_pair(sK0(sK2(sK5)),sK1(sK2(sK5))))
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl8_1
<=> sK2(sK5) = unordered_pair(singleton(sK1(sK2(sK5))),unordered_pair(sK0(sK2(sK5)),sK1(sK2(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f107,plain,
! [X2,X3] : ~ in(unordered_pair(singleton(X2),unordered_pair(X3,X2)),sK5),
inference(superposition,[],[f90,f71]) ).
fof(f71,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f90,plain,
! [X2,X1] : ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),sK5),
inference(backward_demodulation,[],[f89,f71]) ).
fof(f89,plain,
! [X2,X1] : ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),sK5),
inference(definition_unfolding,[],[f77,f70]) ).
fof(f70,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f77,plain,
! [X2,X1] : ~ in(ordered_pair(X1,X2),sK5),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( empty_set != sK5
& relation(sK5)
& ! [X1,X2] : ~ in(ordered_pair(X1,X2),sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f54,f55]) ).
fof(f55,plain,
( ? [X0] :
( empty_set != X0
& relation(X0)
& ! [X1,X2] : ~ in(ordered_pair(X1,X2),X0) )
=> ( empty_set != sK5
& relation(sK5)
& ! [X2,X1] : ~ in(ordered_pair(X1,X2),sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0] :
( empty_set != X0
& relation(X0)
& ! [X1,X2] : ~ in(ordered_pair(X1,X2),X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X0] :
( empty_set != X0
& relation(X0)
& ! [X2,X1] : ~ in(ordered_pair(X2,X1),X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0] :
( empty_set != X0
& ! [X2,X1] : ~ in(ordered_pair(X2,X1),X0)
& relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X0] :
( relation(X0)
=> ( ! [X2,X1] : ~ in(ordered_pair(X2,X1),X0)
=> empty_set = X0 ) ),
inference(rectify,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( ! [X2,X1] : ~ in(ordered_pair(X1,X2),X0)
=> empty_set = X0 ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X0] :
( relation(X0)
=> ( ! [X2,X1] : ~ in(ordered_pair(X1,X2),X0)
=> empty_set = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_relat_1) ).
fof(f132,plain,
~ spl8_2,
inference(avatar_contradiction_clause,[],[f131]) ).
fof(f131,plain,
( $false
| ~ spl8_2 ),
inference(subsumption_resolution,[],[f129,f79]) ).
fof(f79,plain,
empty_set != sK5,
inference(cnf_transformation,[],[f56]) ).
fof(f129,plain,
( empty_set = sK5
| ~ spl8_2 ),
inference(resolution,[],[f126,f69]) ).
fof(f69,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f126,plain,
( empty(sK5)
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f116,f124,f120]) ).
fof(f116,plain,
( empty(sK5)
| sK2(sK5) = unordered_pair(singleton(sK1(sK2(sK5))),unordered_pair(sK0(sK2(sK5)),sK1(sK2(sK5)))) ),
inference(resolution,[],[f109,f78]) ).
fof(f78,plain,
relation(sK5),
inference(cnf_transformation,[],[f56]) ).
fof(f109,plain,
! [X0] :
( ~ relation(X0)
| sK2(X0) = unordered_pair(singleton(sK1(sK2(X0))),unordered_pair(sK0(sK2(X0)),sK1(sK2(X0))))
| empty(X0) ),
inference(resolution,[],[f108,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ in(X1,X0)
| unordered_pair(singleton(sK1(X1)),unordered_pair(sK0(X1),sK1(X1))) = X1
| ~ relation(X0) ),
inference(forward_demodulation,[],[f91,f71]) ).
fof(f91,plain,
! [X0,X1] :
( ~ in(X1,X0)
| unordered_pair(singleton(sK1(X1)),unordered_pair(sK1(X1),sK0(X1))) = X1
| ~ relation(X0) ),
inference(forward_demodulation,[],[f87,f71]) ).
fof(f87,plain,
! [X0,X1] :
( ~ in(X1,X0)
| unordered_pair(unordered_pair(sK1(X1),sK0(X1)),singleton(sK1(X1))) = X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f61,f70]) ).
fof(f61,plain,
! [X0,X1] :
( ordered_pair(sK1(X1),sK0(X1)) = X1
| ~ in(X1,X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ordered_pair(sK1(X1),sK0(X1)) = X1
| ~ in(X1,X0) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f43,f44]) ).
fof(f44,plain,
! [X1] :
( ? [X2,X3] : ordered_pair(X3,X2) = X1
=> ordered_pair(sK1(X1),sK0(X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ? [X2,X3] : ordered_pair(X3,X2) = X1
| ~ in(X1,X0) )
| ~ relation(X0) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ? [X3,X2] : ordered_pair(X2,X3) = X1
| ~ in(X1,X0) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( relation(X0)
=> ! [X1] :
~ ( ! [X3,X2] : ordered_pair(X2,X3) != X1
& in(X1,X0) ) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
<=> ! [X1] :
~ ( ! [X3,X2] : ordered_pair(X2,X3) != X1
& in(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU186+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 15:08:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.51/0.55 % (29689)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)
% 1.51/0.56 % (29711)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)
% 1.51/0.56 % (29703)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)
% 1.51/0.56 % (29693)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.51/0.56 % (29695)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)
% 1.51/0.57 % (29693)First to succeed.
% 1.51/0.57 TRYING [1]
% 1.51/0.57 TRYING [2]
% 1.51/0.57 TRYING [3]
% 1.51/0.57 % (29694)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)
% 1.51/0.57 TRYING [4]
% 1.51/0.57 % (29717)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.51/0.57 % (29704)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)
% 1.51/0.57 % (29712)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 % (29718)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)
% 1.51/0.57 % (29709)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)
% 1.51/0.57 % (29697)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.51/0.58 TRYING [1]
% 1.51/0.58 TRYING [2]
% 1.51/0.58 % (29698)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)
% 1.51/0.58 TRYING [3]
% 1.51/0.58 % (29696)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.51/0.58 TRYING [4]
% 1.51/0.58 % (29701)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.51/0.58 % (29690)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 % (29702)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.51/0.58 % (29714)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.51/0.58 % (29690)Refutation not found, incomplete strategy% (29690)------------------------------
% 1.51/0.58 % (29690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.59 % (29710)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.51/0.59 % (29693)Refutation found. Thanks to Tanya!
% 1.51/0.59 % SZS status Theorem for theBenchmark
% 1.51/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.59 % (29693)------------------------------
% 1.51/0.59 % (29693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.59 % (29693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.59 % (29693)Termination reason: Refutation
% 1.51/0.59
% 1.51/0.59 % (29693)Memory used [KB]: 5500
% 1.51/0.59 % (29693)Time elapsed: 0.164 s
% 1.51/0.59 % (29693)Instructions burned: 4 (million)
% 1.51/0.59 % (29693)------------------------------
% 1.51/0.59 % (29693)------------------------------
% 1.51/0.59 % (29688)Success in time 0.233 s
%------------------------------------------------------------------------------