TSTP Solution File: SEU371+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU371+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 : n027.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 18:33:28 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 51 ( 26 unt; 0 def)
% Number of atoms : 177 ( 43 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 172 ( 46 ~; 38 |; 84 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 50 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1250,plain,
$false,
inference(subsumption_resolution,[],[f1249,f714]) ).
fof(f714,plain,
empty_set != sF33,
inference(definition_folding,[],[f619,f713,f712]) ).
fof(f712,plain,
boole_POSet(sK26) = sF32,
introduced(function_definition,[]) ).
fof(f713,plain,
bottom_of_relstr(sF32) = sF33,
introduced(function_definition,[]) ).
fof(f619,plain,
empty_set != bottom_of_relstr(boole_POSet(sK26)),
inference(cnf_transformation,[],[f327]) ).
fof(f327,plain,
empty_set != bottom_of_relstr(boole_POSet(sK26)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f151,f326]) ).
fof(f326,plain,
( ? [X0] : empty_set != bottom_of_relstr(boole_POSet(X0))
=> empty_set != bottom_of_relstr(boole_POSet(sK26)) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
? [X0] : empty_set != bottom_of_relstr(boole_POSet(X0)),
inference(ennf_transformation,[],[f104]) ).
fof(f104,negated_conjecture,
~ ! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
inference(negated_conjecture,[],[f103]) ).
fof(f103,conjecture,
! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_yellow_1) ).
fof(f1249,plain,
empty_set = sF33,
inference(backward_demodulation,[],[f713,f1246]) ).
fof(f1246,plain,
empty_set = bottom_of_relstr(sF32),
inference(superposition,[],[f1239,f712]) ).
fof(f1239,plain,
! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
inference(backward_demodulation,[],[f759,f1234]) ).
fof(f1234,plain,
! [X0] : empty_set = join_on_relstr(boole_POSet(X0),empty_set),
inference(superposition,[],[f1192,f1155]) ).
fof(f1155,plain,
! [X0] : empty_set = join_of_latt_set(boole_lattice(X0),empty_set),
inference(forward_demodulation,[],[f1154,f365]) ).
fof(f365,plain,
! [X0] : empty_set = bottom_of_semilattstr(boole_lattice(X0)),
inference(cnf_transformation,[],[f109]) ).
fof(f109,axiom,
! [X0] :
( lower_bounded_semilattstr(boole_lattice(X0))
& empty_set = bottom_of_semilattstr(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_lattice3) ).
fof(f1154,plain,
! [X0] : bottom_of_semilattstr(boole_lattice(X0)) = join_of_latt_set(boole_lattice(X0),empty_set),
inference(subsumption_resolution,[],[f1153,f681]) ).
fof(f681,plain,
! [X0] : lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( strict_latt_str(boole_lattice(X0))
& join_associative(boole_lattice(X0))
& bounded_lattstr(boole_lattice(X0))
& boolean_lattstr(boole_lattice(X0))
& complemented_lattstr(boole_lattice(X0))
& upper_bounded_semilattstr(boole_lattice(X0))
& meet_associative(boole_lattice(X0))
& meet_absorbing(boole_lattice(X0))
& distributive_lattstr(boole_lattice(X0))
& ~ empty_carrier(boole_lattice(X0))
& join_absorbing(boole_lattice(X0))
& lower_bounded_semilattstr(boole_lattice(X0))
& join_commutative(boole_lattice(X0))
& meet_commutative(boole_lattice(X0))
& lattice(boole_lattice(X0)) ),
inference(pure_predicate_removal,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( join_absorbing(boole_lattice(X0))
& modular_lattstr(boole_lattice(X0))
& bounded_lattstr(boole_lattice(X0))
& lattice(boole_lattice(X0))
& lower_bounded_semilattstr(boole_lattice(X0))
& join_commutative(boole_lattice(X0))
& meet_commutative(boole_lattice(X0))
& meet_associative(boole_lattice(X0))
& boolean_lattstr(boole_lattice(X0))
& distributive_lattstr(boole_lattice(X0))
& complemented_lattstr(boole_lattice(X0))
& meet_absorbing(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0))
& upper_bounded_semilattstr(boole_lattice(X0))
& ~ empty_carrier(boole_lattice(X0))
& join_associative(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_lattice3) ).
fof(f1153,plain,
! [X0] :
( ~ lattice(boole_lattice(X0))
| bottom_of_semilattstr(boole_lattice(X0)) = join_of_latt_set(boole_lattice(X0),empty_set) ),
inference(subsumption_resolution,[],[f1152,f463]) ).
fof(f463,plain,
! [X0] : latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( strict_latt_str(boole_lattice(X0))
& latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice3) ).
fof(f1152,plain,
! [X0] :
( bottom_of_semilattstr(boole_lattice(X0)) = join_of_latt_set(boole_lattice(X0),empty_set)
| ~ latt_str(boole_lattice(X0))
| ~ lattice(boole_lattice(X0)) ),
inference(subsumption_resolution,[],[f1151,f383]) ).
fof(f383,plain,
! [X0] : ~ empty_carrier(boole_lattice(X0)),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( join_associative(boole_lattice(X0))
& lattice(boole_lattice(X0))
& upper_bounded_semilattstr(boole_lattice(X0))
& meet_commutative(boole_lattice(X0))
& lower_bounded_semilattstr(boole_lattice(X0))
& boolean_lattstr(boole_lattice(X0))
& complemented_lattstr(boole_lattice(X0))
& join_absorbing(boole_lattice(X0))
& join_commutative(boole_lattice(X0))
& ~ empty_carrier(boole_lattice(X0))
& meet_associative(boole_lattice(X0))
& meet_absorbing(boole_lattice(X0))
& bounded_lattstr(boole_lattice(X0))
& distributive_lattstr(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0))
& complete_latt_str(boole_lattice(X0)) ),
inference(pure_predicate_removal,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( boolean_lattstr(boole_lattice(X0))
& lattice(boole_lattice(X0))
& distributive_lattstr(boole_lattice(X0))
& complete_latt_str(boole_lattice(X0))
& complemented_lattstr(boole_lattice(X0))
& upper_bounded_semilattstr(boole_lattice(X0))
& ~ empty_carrier(boole_lattice(X0))
& modular_lattstr(boole_lattice(X0))
& lower_bounded_semilattstr(boole_lattice(X0))
& join_commutative(boole_lattice(X0))
& meet_absorbing(boole_lattice(X0))
& meet_commutative(boole_lattice(X0))
& join_absorbing(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0))
& join_associative(boole_lattice(X0))
& meet_associative(boole_lattice(X0))
& bounded_lattstr(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_knaster) ).
fof(f1151,plain,
! [X0] :
( empty_carrier(boole_lattice(X0))
| ~ latt_str(boole_lattice(X0))
| ~ lattice(boole_lattice(X0))
| bottom_of_semilattstr(boole_lattice(X0)) = join_of_latt_set(boole_lattice(X0),empty_set) ),
inference(resolution,[],[f462,f377]) ).
fof(f377,plain,
! [X0] : complete_latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f140]) ).
fof(f462,plain,
! [X0] :
( ~ complete_latt_str(X0)
| empty_carrier(X0)
| bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| ( bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set)
& lower_bounded_semilattstr(X0)
& ~ empty_carrier(X0)
& latt_str(X0)
& lattice(X0) )
| ~ lattice(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ( bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set)
& lower_bounded_semilattstr(X0)
& ~ empty_carrier(X0)
& latt_str(X0)
& lattice(X0) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0)
& lattice(X0)
& complete_latt_str(X0) )
=> ( bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set)
& lower_bounded_semilattstr(X0)
& ~ empty_carrier(X0)
& latt_str(X0)
& lattice(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_lattice3) ).
fof(f1192,plain,
! [X0,X1] : join_of_latt_set(boole_lattice(X0),X1) = join_on_relstr(boole_POSet(X0),X1),
inference(forward_demodulation,[],[f1191,f576]) ).
fof(f576,plain,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_yellow_1) ).
fof(f1191,plain,
! [X0,X1] : join_on_relstr(poset_of_lattice(boole_lattice(X0)),X1) = join_of_latt_set(boole_lattice(X0),X1),
inference(subsumption_resolution,[],[f1190,f463]) ).
fof(f1190,plain,
! [X0,X1] :
( ~ latt_str(boole_lattice(X0))
| join_on_relstr(poset_of_lattice(boole_lattice(X0)),X1) = join_of_latt_set(boole_lattice(X0),X1) ),
inference(subsumption_resolution,[],[f1189,f383]) ).
fof(f1189,plain,
! [X0,X1] :
( empty_carrier(boole_lattice(X0))
| join_on_relstr(poset_of_lattice(boole_lattice(X0)),X1) = join_of_latt_set(boole_lattice(X0),X1)
| ~ latt_str(boole_lattice(X0)) ),
inference(subsumption_resolution,[],[f1188,f681]) ).
fof(f1188,plain,
! [X0,X1] :
( ~ lattice(boole_lattice(X0))
| empty_carrier(boole_lattice(X0))
| join_on_relstr(poset_of_lattice(boole_lattice(X0)),X1) = join_of_latt_set(boole_lattice(X0),X1)
| ~ latt_str(boole_lattice(X0)) ),
inference(resolution,[],[f637,f377]) ).
fof(f637,plain,
! [X0,X1] :
( ~ complete_latt_str(X0)
| ~ latt_str(X0)
| join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ! [X1] :
( meet_of_latt_set(X0,X1) = meet_on_relstr(poset_of_lattice(X0),X1)
& join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1) ) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( meet_of_latt_set(X0,X1) = meet_on_relstr(poset_of_lattice(X0),X1)
& join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1) )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,axiom,
! [X0] :
( ( lattice(X0)
& ~ empty_carrier(X0)
& complete_latt_str(X0)
& latt_str(X0) )
=> ! [X1] :
( meet_of_latt_set(X0,X1) = meet_on_relstr(poset_of_lattice(X0),X1)
& join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_yellow_0) ).
fof(f759,plain,
! [X0] : bottom_of_relstr(boole_POSet(X0)) = join_on_relstr(boole_POSet(X0),empty_set),
inference(resolution,[],[f445,f630]) ).
fof(f630,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( strict_rel_str(boole_POSet(X0))
& rel_str(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f445,plain,
! [X0] :
( ~ rel_str(X0)
| bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ~ rel_str(X0)
| bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( rel_str(X0)
=> bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_yellow_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU371+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % 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 : n027.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 15:36:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (1967)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)
% 0.19/0.45 % (1952)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.45 % (1959)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)
% 0.19/0.45 % (1952)Instruction limit reached!
% 0.19/0.45 % (1952)------------------------------
% 0.19/0.45 % (1952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45 % (1952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45 % (1952)Termination reason: Unknown
% 0.19/0.45 % (1952)Termination phase: Preprocessing 3
% 0.19/0.45
% 0.19/0.45 % (1952)Memory used [KB]: 1151
% 0.19/0.45 % (1952)Time elapsed: 0.005 s
% 0.19/0.46 % (1952)Instructions burned: 3 (million)
% 0.19/0.46 % (1952)------------------------------
% 0.19/0.46 % (1952)------------------------------
% 0.19/0.49 % (1944)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)
% 0.19/0.49 % (1969)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.50 % (1946)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)
% 0.19/0.50 % (1961)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50 % (1960)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)
% 0.19/0.51 % (1943)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)
% 0.19/0.51 % (1963)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)
% 0.19/0.51 % (1950)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (1970)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)
% 0.19/0.51 % (1968)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (1971)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)
% 0.19/0.51 % (1953)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)
% 0.19/0.51 % (1949)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)
% 0.19/0.52 % (1945)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)
% 0.19/0.52 % (1955)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)
% 0.19/0.52 % (1959)First to succeed.
% 0.19/0.52 % (1962)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (1972)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (1964)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)
% 0.19/0.52 % (1973)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)
% 0.19/0.52 % (1959)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (1959)------------------------------
% 0.19/0.52 % (1959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1959)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (1959)Memory used [KB]: 1791
% 0.19/0.52 % (1959)Time elapsed: 0.107 s
% 0.19/0.52 % (1959)Instructions burned: 37 (million)
% 0.19/0.52 % (1959)------------------------------
% 0.19/0.52 % (1959)------------------------------
% 0.19/0.52 % (1942)Success in time 0.177 s
%------------------------------------------------------------------------------