TSTP Solution File: SWV182+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV182+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 10:47:08 EDT 2024
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 207 ( 51 equ)
% Maximal formula atoms : 25 ( 8 avg)
% Number of connectives : 261 ( 78 ~; 69 |; 79 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 58 ( 54 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11134,plain,
$false,
inference(subsumption_resolution,[],[f11133,f266]) ).
fof(f266,plain,
init != a_select2(rho_init,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( init != a_select2(rho_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13)
& ( ! [X1] :
( init = a_select2(sigma_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ( ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n0) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( ! [X6] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ leq(X5,n135299)
| ~ leq(n0,X5) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f192,f193]) ).
fof(f193,plain,
( ? [X0] :
( init != a_select2(rho_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(rho_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
( ? [X0] :
( init != a_select2(rho_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
& ( ! [X1] :
( init = a_select2(sigma_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ( ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n0) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( ! [X6] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ leq(X5,n135299)
| ~ leq(n0,X5) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X6] :
( init != a_select2(rho_init,X6)
& leq(X6,n4)
& leq(n0,X6) )
& ( ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n0) )
& ( ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( ? [X6] :
( init != a_select2(rho_init,X6)
& leq(X6,n4)
& leq(n0,X6) )
& ( ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n0) )
& ( ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ( gt(loopcounter,n0)
=> ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(sigma_init,X0) ) )
& ( gt(loopcounter,n0)
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(rho_init,X1) ) )
& ( gt(loopcounter,n0)
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(mu_init,X2) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X4] :
( ( leq(X4,n135299)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select3(q_init,X4,X5) ) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(rho_init,X6) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigma_init,X21) ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rho_init,X20) ) )
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(rho_init,X27) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigma_init,X21) ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rho_init,X20) ) )
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(rho_init,X27) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0086) ).
fof(f11133,plain,
init = a_select2(rho_init,sK13),
inference(subsumption_resolution,[],[f11065,f265]) ).
fof(f265,plain,
leq(sK13,n4),
inference(cnf_transformation,[],[f194]) ).
fof(f11065,plain,
( ~ leq(sK13,n4)
| init = a_select2(rho_init,sK13) ),
inference(resolution,[],[f11046,f264]) ).
fof(f264,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f11046,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select2(rho_init,X2) ),
inference(subsumption_resolution,[],[f262,f579]) ).
fof(f579,plain,
gt(loopcounter,n0),
inference(resolution,[],[f574,f258]) ).
fof(f258,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f194]) ).
fof(f574,plain,
! [X0] :
( ~ leq(n1,X0)
| gt(X0,n0) ),
inference(superposition,[],[f331,f296]) ).
fof(f296,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f331,plain,
! [X0,X1] :
( ~ leq(succ(X0),X1)
| gt(X1,X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f262,plain,
! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| ~ gt(loopcounter,n0) ),
inference(cnf_transformation,[],[f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV182+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n027.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 20:55:23 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (8063)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (8066)WARNING: value z3 for option sas not known
% 0.13/0.38 % (8065)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (8064)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (8068)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)
% 0.13/0.38 % (8066)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)
% 0.13/0.38 % (8069)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)
% 0.13/0.38 % (8070)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)
% 0.13/0.39 % (8067)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.49 TRYING [1]
% 0.21/0.50 TRYING [2]
% 0.21/0.57 % (8066)First to succeed.
% 0.21/0.57 % (8066)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8063"
% 0.21/0.57 % (8066)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Theorem for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (8066)------------------------------
% 0.21/0.57 % (8066)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.57 % (8066)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (8066)Memory used [KB]: 3900
% 0.21/0.57 % (8066)Time elapsed: 0.188 s
% 0.21/0.57 % (8066)Instructions burned: 365 (million)
% 0.21/0.57 % (8063)Success in time 0.208 s
%------------------------------------------------------------------------------