TSTP Solution File: SEU047+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU047+1 : 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 : 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 : Tue Apr 30 15:22:02 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 74 ( 32 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 80 ( 31 ~; 21 |; 19 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 32 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f270,plain,
$false,
inference(trivial_inequality_removal,[],[f267]) ).
fof(f267,plain,
relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK0,sK2),
inference(superposition,[],[f209,f240]) ).
fof(f240,plain,
relation_rng_restriction(sK0,sK2) = relation_rng_restriction(sK1,relation_rng_restriction(sK0,sK2)),
inference(resolution,[],[f219,f89]) ).
fof(f89,plain,
relation(sK2),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK0,relation_rng_restriction(sK1,sK2))
| relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK1,relation_rng_restriction(sK0,sK2)) )
& subset(sK0,sK1)
& function(sK2)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f41,f64]) ).
fof(f64,plain,
( ? [X0,X1,X2] :
( ( relation_rng_restriction(X0,X2) != relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| relation_rng_restriction(X0,X2) != relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) )
& subset(X0,X1)
& function(X2)
& relation(X2) )
=> ( ( relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK0,relation_rng_restriction(sK1,sK2))
| relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK1,relation_rng_restriction(sK0,sK2)) )
& subset(sK0,sK1)
& function(sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0,X1,X2] :
( ( relation_rng_restriction(X0,X2) != relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| relation_rng_restriction(X0,X2) != relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) )
& subset(X0,X1)
& function(X2)
& relation(X2) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
? [X0,X1,X2] :
( ( relation_rng_restriction(X0,X2) != relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| relation_rng_restriction(X0,X2) != relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) )
& subset(X0,X1)
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(X0,X1)
=> ( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
& relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) ) ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(X0,X1)
=> ( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
& relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t97_funct_1) ).
fof(f219,plain,
! [X0] :
( ~ relation(X0)
| relation_rng_restriction(sK0,X0) = relation_rng_restriction(sK1,relation_rng_restriction(sK0,X0)) ),
inference(resolution,[],[f121,f91]) ).
fof(f91,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f65]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_rng_restriction(X0,X2) = relation_rng_restriction(X1,relation_rng_restriction(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t129_relat_1) ).
fof(f209,plain,
relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK1,relation_rng_restriction(sK0,sK2)),
inference(trivial_inequality_removal,[],[f208]) ).
fof(f208,plain,
( relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK0,sK2)
| relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK1,relation_rng_restriction(sK0,sK2)) ),
inference(backward_demodulation,[],[f92,f203]) ).
fof(f203,plain,
relation_rng_restriction(sK0,sK2) = relation_rng_restriction(sK0,relation_rng_restriction(sK1,sK2)),
inference(resolution,[],[f197,f89]) ).
fof(f197,plain,
! [X0] :
( ~ relation(X0)
| relation_rng_restriction(sK0,X0) = relation_rng_restriction(sK0,relation_rng_restriction(sK1,X0)) ),
inference(resolution,[],[f120,f91]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2))
| ~ subset(X0,X1)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( subset(X0,X1)
=> relation_rng_restriction(X0,X2) = relation_rng_restriction(X0,relation_rng_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t130_relat_1) ).
fof(f92,plain,
( relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK1,relation_rng_restriction(sK0,sK2))
| relation_rng_restriction(sK0,sK2) != relation_rng_restriction(sK0,relation_rng_restriction(sK1,sK2)) ),
inference(cnf_transformation,[],[f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU047+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 21:11:25 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (12690)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (12693)WARNING: value z3 for option sas not known
% 0.14/0.38 % (12692)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 % (12694)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (12691)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (12696)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 % (12695)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 % (12697)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 % (12693)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 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [4]
% 0.21/0.38 % (12696)First to succeed.
% 0.21/0.39 TRYING [3]
% 0.21/0.39 % (12695)Also succeeded, but the first one will report.
% 0.21/0.39 % (12696)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (12696)------------------------------
% 0.21/0.39 % (12696)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39 % (12696)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (12696)Memory used [KB]: 921
% 0.21/0.39 % (12696)Time elapsed: 0.011 s
% 0.21/0.39 % (12696)Instructions burned: 14 (million)
% 0.21/0.39 % (12696)------------------------------
% 0.21/0.39 % (12696)------------------------------
% 0.21/0.39 % (12690)Success in time 0.027 s
%------------------------------------------------------------------------------