TSTP Solution File: REL048+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : REL048+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Sun May 5 08:53:11 EDT 2024
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 15
% Syntax : Number of formulae : 85 ( 68 unt; 0 def)
% Number of atoms : 111 ( 91 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 45 ( 19 ~; 15 |; 6 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 91 ( 85 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3690,plain,
$false,
inference(avatar_sat_refutation,[],[f46,f3656,f3670,f3684]) ).
fof(f3684,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_contradiction_clause,[],[f3683]) ).
fof(f3683,plain,
( $false
| spl3_1
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f3672,f41]) ).
fof(f41,plain,
( sK2 != join(sK0,sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl3_1
<=> sK2 = join(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f3672,plain,
( sK2 = join(sK0,sK2)
| ~ spl3_2 ),
inference(superposition,[],[f192,f44]) ).
fof(f44,plain,
( sK2 = join(sK1,sK2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl3_2
<=> sK2 = join(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f192,plain,
sK2 = join(sK0,join(sK1,sK2)),
inference(superposition,[],[f32,f19]) ).
fof(f19,plain,
sK2 = join(join(sK0,sK1),sK2),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( sK2 != join(sK1,sK2)
| sK2 != join(sK0,sK2) )
& sK2 = join(join(sK0,sK1),sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1,X2] :
( ( join(X1,X2) != X2
| join(X0,X2) != X2 )
& join(join(X0,X1),X2) = X2 )
=> ( ( sK2 != join(sK1,sK2)
| sK2 != join(sK0,sK2) )
& sK2 = join(join(sK0,sK1),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( join(X1,X2) != X2
| join(X0,X2) != X2 )
& join(join(X0,X1),X2) = X2 ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(join(X0,X1),X2) = X2
=> ( join(X1,X2) = X2
& join(X0,X2) = X2 ) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( join(join(X0,X1),X2) = X2
=> ( join(X1,X2) = X2
& join(X0,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f32,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3670,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f3669]) ).
fof(f3669,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f3668,f45]) ).
fof(f45,plain,
( sK2 != join(sK1,sK2)
| spl3_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f3668,plain,
sK2 = join(sK1,sK2),
inference(forward_demodulation,[],[f3667,f34]) ).
fof(f34,plain,
sK2 = join(sK2,join(sK0,sK1)),
inference(superposition,[],[f25,f19]) ).
fof(f25,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f3667,plain,
join(sK1,sK2) = join(sK2,join(sK0,sK1)),
inference(forward_demodulation,[],[f3644,f25]) ).
fof(f3644,plain,
join(sK2,join(sK0,sK1)) = join(sK2,sK1),
inference(superposition,[],[f204,f2593]) ).
fof(f2593,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f257,f2510]) ).
fof(f2510,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f2509,f558]) ).
fof(f558,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(superposition,[],[f483,f25]) ).
fof(f483,plain,
! [X0] : join(meet(X0,complement(complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f456,f62]) ).
fof(f62,plain,
zero = complement(top),
inference(forward_demodulation,[],[f57,f23]) ).
fof(f23,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f57,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f28,f24]) ).
fof(f24,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f28,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f456,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f400,f24]) ).
fof(f400,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f30,f28]) ).
fof(f30,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f2509,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[],[f2477,f1420]) ).
fof(f1420,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f58,f28]) ).
fof(f58,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[],[f28,f25]) ).
fof(f2477,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(superposition,[],[f459,f626]) ).
fof(f626,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f620,f62]) ).
fof(f620,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f28,f578]) ).
fof(f578,plain,
! [X0] : top = join(complement(complement(X0)),complement(X0)),
inference(superposition,[],[f542,f502]) ).
fof(f502,plain,
! [X0] : complement(X0) = meet(top,complement(X0)),
inference(superposition,[],[f64,f481]) ).
fof(f481,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f454,f23]) ).
fof(f454,plain,
! [X0] : join(meet(X0,complement(X0)),complement(complement(X0))) = X0,
inference(superposition,[],[f400,f257]) ).
fof(f64,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f28,f62]) ).
fof(f542,plain,
! [X0] : top = join(complement(X0),meet(top,X0)),
inference(forward_demodulation,[],[f540,f28]) ).
fof(f540,plain,
! [X0] : top = join(complement(X0),complement(join(complement(top),complement(X0)))),
inference(superposition,[],[f400,f502]) ).
fof(f459,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f400,f28]) ).
fof(f257,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f256,f162]) ).
fof(f162,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f155,f145]) ).
fof(f145,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f131,f21]) ).
fof(f21,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f131,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f48,f22]) ).
fof(f22,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f48,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f26,f21]) ).
fof(f26,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f155,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f145,f98]) ).
fof(f98,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f31,f22]) ).
fof(f31,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f256,plain,
! [X0] : complement(X0) = join(composition(one,complement(X0)),complement(X0)),
inference(forward_demodulation,[],[f235,f21]) ).
fof(f235,plain,
! [X0] : complement(X0) = join(composition(converse(converse(one)),complement(X0)),complement(X0)),
inference(superposition,[],[f29,f145]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f204,plain,
! [X0] : join(sK2,X0) = join(sK2,join(sK0,join(sK1,X0))),
inference(forward_demodulation,[],[f191,f32]) ).
fof(f191,plain,
! [X0] : join(sK2,X0) = join(sK2,join(join(sK0,sK1),X0)),
inference(superposition,[],[f32,f34]) ).
fof(f3656,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f3655]) ).
fof(f3655,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f3654,f45]) ).
fof(f3654,plain,
sK2 = join(sK1,sK2),
inference(forward_demodulation,[],[f3653,f34]) ).
fof(f3653,plain,
join(sK1,sK2) = join(sK2,join(sK0,sK1)),
inference(forward_demodulation,[],[f3617,f25]) ).
fof(f3617,plain,
join(sK2,join(sK0,sK1)) = join(sK2,sK1),
inference(superposition,[],[f353,f2593]) ).
fof(f353,plain,
! [X0] : join(sK2,X0) = join(sK2,join(sK0,join(X0,sK1))),
inference(superposition,[],[f204,f25]) ).
fof(f46,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f20,f43,f39]) ).
fof(f20,plain,
( sK2 != join(sK1,sK2)
| sK2 != join(sK0,sK2) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL048+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n010.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 : Fri May 3 15:41:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (16707)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (16711)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 TRYING [3]
% 0.14/0.36 % (16710)WARNING: value z3 for option sas not known
% 0.14/0.36 % (16708)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (16709)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (16710)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (16713)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.36 % (16712)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (16714)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.20/0.39 TRYING [3]
% 0.20/0.41 TRYING [5]
% 0.20/0.45 TRYING [4]
% 0.20/0.46 % (16710)First to succeed.
% 0.20/0.46 % (16710)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16707"
% 0.20/0.46 % (16710)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (16710)------------------------------
% 0.20/0.46 % (16710)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.46 % (16710)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (16710)Memory used [KB]: 2009
% 0.20/0.46 % (16710)Time elapsed: 0.095 s
% 0.20/0.46 % (16710)Instructions burned: 178 (million)
% 0.20/0.46 % (16707)Success in time 0.112 s
%------------------------------------------------------------------------------