TSTP Solution File: SEU219+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU219+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 09:29:20 EDT 2024
% Result : Theorem 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 83 ( 39 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 90 ( 36 ~; 24 |; 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(f101,plain,
$false,
inference(trivial_inequality_removal,[],[f100]) ).
fof(f100,plain,
relation_rng(sK0) != relation_rng(sK0),
inference(superposition,[],[f97,f58]) ).
fof(f58,plain,
relation_rng(sK0) = relation_dom(relation_inverse(sK0)),
inference(resolution,[],[f36,f30]) ).
fof(f30,plain,
relation(sK0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,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])],[f14,f24]) ).
fof(f24,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(f14,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,[],[f13]) ).
fof(f13,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,[],[f12]) ).
fof(f12,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,[],[f11]) ).
fof(f11,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/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
fof(f36,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_dom(relation_inverse(X0)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( relation(X0)
=> ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
fof(f97,plain,
relation_rng(sK0) != relation_dom(relation_inverse(sK0)),
inference(trivial_inequality_removal,[],[f96]) ).
fof(f96,plain,
( relation_dom(sK0) != relation_dom(sK0)
| relation_rng(sK0) != relation_dom(relation_inverse(sK0)) ),
inference(forward_demodulation,[],[f95,f63]) ).
fof(f63,plain,
relation_dom(sK0) = relation_rng(relation_inverse(sK0)),
inference(resolution,[],[f37,f30]) ).
fof(f37,plain,
! [X0] :
( ~ relation(X0)
| relation_dom(X0) = relation_rng(relation_inverse(X0)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f95,plain,
( relation_dom(sK0) != relation_rng(relation_inverse(sK0))
| relation_rng(sK0) != relation_dom(relation_inverse(sK0)) ),
inference(forward_demodulation,[],[f94,f93]) ).
fof(f93,plain,
function_inverse(sK0) = relation_inverse(sK0),
inference(resolution,[],[f92,f30]) ).
fof(f92,plain,
( ~ relation(sK0)
| function_inverse(sK0) = relation_inverse(sK0) ),
inference(resolution,[],[f90,f31]) ).
fof(f31,plain,
function(sK0),
inference(cnf_transformation,[],[f25]) ).
fof(f90,plain,
( ~ function(sK0)
| function_inverse(sK0) = relation_inverse(sK0)
| ~ relation(sK0) ),
inference(resolution,[],[f42,f32]) ).
fof(f32,plain,
one_to_one(sK0),
inference(cnf_transformation,[],[f25]) ).
fof(f42,plain,
! [X0] :
( ~ one_to_one(X0)
| function_inverse(X0) = relation_inverse(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> function_inverse(X0) = relation_inverse(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_funct_1) ).
fof(f94,plain,
( relation_rng(sK0) != relation_dom(relation_inverse(sK0))
| relation_dom(sK0) != relation_rng(function_inverse(sK0)) ),
inference(backward_demodulation,[],[f33,f93]) ).
fof(f33,plain,
( relation_dom(sK0) != relation_rng(function_inverse(sK0))
| relation_rng(sK0) != relation_dom(function_inverse(sK0)) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU219+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 11:28:19 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (7887)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (7890)WARNING: value z3 for option sas not known
% 0.16/0.38 % (7891)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (7888)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (7889)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (7892)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)
% 0.16/0.38 % (7894)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)
% 0.16/0.38 % (7893)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)
% 0.16/0.38 % (7890)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)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [3]
% 0.16/0.38 TRYING [3]
% 0.16/0.38 % (7893)First to succeed.
% 0.16/0.38 TRYING [4]
% 0.16/0.38 TRYING [4]
% 0.16/0.38 % (7893)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7887"
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 % (7890)Also succeeded, but the first one will report.
% 0.16/0.39 % (7893)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Theorem for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (7893)------------------------------
% 0.16/0.39 % (7893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39 % (7893)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (7893)Memory used [KB]: 775
% 0.16/0.39 % (7893)Time elapsed: 0.006 s
% 0.16/0.39 % (7893)Instructions burned: 6 (million)
% 0.16/0.39 % (7887)Success in time 0.022 s
%------------------------------------------------------------------------------