TSTP Solution File: SEU219+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU219+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 09:29:21 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 82 ( 38 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 88 ( 35 ~; 23 |; 22 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 10 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f858,plain,
$false,
inference(trivial_inequality_removal,[],[f857]) ).
fof(f857,plain,
relation_dom(sK0) != relation_dom(sK0),
inference(superposition,[],[f854,f529]) ).
fof(f529,plain,
relation_dom(sK0) = relation_rng(relation_inverse(sK0)),
inference(resolution,[],[f128,f104]) ).
fof(f104,plain,
relation(sK0),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( relation_dom(sK0) != relation_rng(function_inverse(sK0))
| relation_rng(sK0) != relation_dom(function_inverse(sK0)) )
& one_to_one(sK0)
& function(sK0)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f47,f80]) ).
fof(f80,plain,
( ? [X0] :
( ( relation_dom(X0) != relation_rng(function_inverse(X0))
| relation_rng(X0) != relation_dom(function_inverse(X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( ( relation_dom(sK0) != relation_rng(function_inverse(sK0))
| relation_rng(sK0) != relation_dom(function_inverse(sK0)) )
& one_to_one(sK0)
& function(sK0)
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0] :
( ( relation_dom(X0) != relation_rng(function_inverse(X0))
| relation_rng(X0) != relation_dom(function_inverse(X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
? [X0] :
( ( relation_dom(X0) != relation_rng(function_inverse(X0))
| relation_rng(X0) != relation_dom(function_inverse(X0)) )
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ( relation_dom(X0) = relation_rng(function_inverse(X0))
& relation_rng(X0) = relation_dom(function_inverse(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_funct_1) ).
fof(f128,plain,
! [X0] :
( ~ relation(X0)
| relation_dom(X0) = relation_rng(relation_inverse(X0)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( relation(X0)
=> ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_relat_1) ).
fof(f854,plain,
relation_dom(sK0) != relation_rng(relation_inverse(sK0)),
inference(forward_demodulation,[],[f853,f849]) ).
fof(f849,plain,
function_inverse(sK0) = relation_inverse(sK0),
inference(resolution,[],[f847,f104]) ).
fof(f847,plain,
( ~ relation(sK0)
| function_inverse(sK0) = relation_inverse(sK0) ),
inference(resolution,[],[f843,f105]) ).
fof(f105,plain,
function(sK0),
inference(cnf_transformation,[],[f81]) ).
fof(f843,plain,
( ~ function(sK0)
| function_inverse(sK0) = relation_inverse(sK0)
| ~ relation(sK0) ),
inference(resolution,[],[f135,f106]) ).
fof(f106,plain,
one_to_one(sK0),
inference(cnf_transformation,[],[f81]) ).
fof(f135,plain,
! [X0] :
( ~ one_to_one(X0)
| function_inverse(X0) = relation_inverse(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> function_inverse(X0) = relation_inverse(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_funct_1) ).
fof(f853,plain,
relation_dom(sK0) != relation_rng(function_inverse(sK0)),
inference(trivial_inequality_removal,[],[f852]) ).
fof(f852,plain,
( relation_rng(sK0) != relation_rng(sK0)
| relation_dom(sK0) != relation_rng(function_inverse(sK0)) ),
inference(forward_demodulation,[],[f851,f427]) ).
fof(f427,plain,
relation_rng(sK0) = relation_dom(relation_inverse(sK0)),
inference(resolution,[],[f127,f104]) ).
fof(f127,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_dom(relation_inverse(X0)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f851,plain,
( relation_rng(sK0) != relation_dom(relation_inverse(sK0))
| relation_dom(sK0) != relation_rng(function_inverse(sK0)) ),
inference(backward_demodulation,[],[f107,f849]) ).
fof(f107,plain,
( relation_rng(sK0) != relation_dom(function_inverse(sK0))
| relation_dom(sK0) != relation_rng(function_inverse(sK0)) ),
inference(cnf_transformation,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU219+3 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 11:46:06 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (1271)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (1277)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)
% 0.14/0.38 % (1274)WARNING: value z3 for option sas not known
% 0.14/0.38 % (1272)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (1273)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (1274)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)
% 0.14/0.38 % (1275)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (1278)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)
% 0.14/0.38 % (1276)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 % (1277)First to succeed.
% 0.14/0.39 TRYING [1]
% 0.14/0.39 % (1277)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1271"
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (1277)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (1277)------------------------------
% 0.14/0.39 % (1277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (1277)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (1277)Memory used [KB]: 1120
% 0.14/0.39 % (1277)Time elapsed: 0.017 s
% 0.14/0.39 % (1277)Instructions burned: 49 (million)
% 0.14/0.39 % (1271)Success in time 0.019 s
%------------------------------------------------------------------------------