TSTP Solution File: SEU444+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU444+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 09:39:31 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 38 ( 26 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 39 ( 18 ~; 9 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 24 ( 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f500,plain,
$false,
inference(trivial_inequality_removal,[],[f498]) ).
fof(f498,plain,
k1_funct_5(sK2) != k1_funct_5(sK2),
inference(superposition,[],[f363,f489]) ).
fof(f489,plain,
k1_funct_5(sK2) = k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),sK0),
inference(resolution,[],[f130,f97]) ).
fof(f97,plain,
m2_relset_1(sK2,sK1,sK0),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k10_relset_1(sK1,sK0,sK2,sK1)) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k2_funct_5(sK2))
| k1_funct_5(sK2) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),sK0) )
& m2_relset_1(sK2,sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f51,f78]) ).
fof(f78,plain,
( ? [X0,X1,X2] :
( ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
| k1_funct_5(X2) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) )
& m2_relset_1(X2,X1,X0) )
=> ( ( k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k10_relset_1(sK1,sK0,sK2,sK1)) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k2_funct_5(sK2))
| k1_funct_5(sK2) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),sK0) )
& m2_relset_1(sK2,sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0,X1,X2] :
( ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
| k1_funct_5(X2) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) )
& m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_relset_2) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2)
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2)
& k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_relset_2) ).
fof(f363,plain,
k1_funct_5(sK2) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),sK0),
inference(trivial_inequality_removal,[],[f362]) ).
fof(f362,plain,
( k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k2_funct_5(sK2)) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k2_funct_5(sK2))
| k1_funct_5(sK2) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),sK0) ),
inference(backward_demodulation,[],[f98,f360]) ).
fof(f360,plain,
k10_relset_1(sK1,sK0,sK2,sK1) = k2_funct_5(sK2),
inference(resolution,[],[f131,f97]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f98,plain,
( k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k10_relset_1(sK1,sK0,sK2,sK1)) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),k2_funct_5(sK2))
| k1_funct_5(sK2) != k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),sK0) ),
inference(cnf_transformation,[],[f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU444+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n019.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 11:45:44 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (4706)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (4712)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (4711)WARNING: value z3 for option sas not known
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (4709)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (4713)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 % (4714)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)
% 0.14/0.37 % (4711)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)
% 0.14/0.37 % (4715)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 % (4710)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (4714)First to succeed.
% 0.14/0.38 % (4714)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4706"
% 0.14/0.39 % (4714)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 % (4714)------------------------------
% 0.14/0.39 % (4714)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (4714)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (4714)Memory used [KB]: 1006
% 0.14/0.39 % (4714)Time elapsed: 0.018 s
% 0.14/0.39 % (4714)Instructions burned: 25 (million)
% 0.14/0.39 % (4706)Success in time 0.033 s
%------------------------------------------------------------------------------