TSTP Solution File: SWW311+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW311+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 17:30:40 EDT 2024
% Result : Theorem 37.74s 6.14s
% Output : Refutation 37.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 20 ~; 10 |; 4 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 39 ( 37 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f136239,plain,
$false,
inference(resolution,[],[f136236,f16946]) ).
fof(f16946,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK87)),
inference(cnf_transformation,[],[f14669]) ).
fof(f14669,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK87,v_ts)
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK87)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87])],[f10308,f14668]) ).
fof(f14668,plain,
( ? [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts)
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X0)) )
=> ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK87,v_ts)
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK87)) ) ),
introduced(choice_axiom,[]) ).
fof(f10308,plain,
? [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts)
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X0)) ),
inference(ennf_transformation,[],[f5225]) ).
fof(f5225,plain,
~ ! [X0] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X0))
=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
inference(rectify,[],[f5224]) ).
fof(f5224,negated_conjecture,
~ ! [X281] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X281))
=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,X281,v_ts) ),
inference(negated_conjecture,[],[f5223]) ).
fof(f5223,conjecture,
! [X281] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X281))
=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,X281,v_ts) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f136236,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK87)),
inference(resolution,[],[f136097,f16948]) ).
fof(f16948,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
inference(cnf_transformation,[],[f5222]) ).
fof(f5222,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f136097,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X0),sK87)) ),
inference(resolution,[],[f20869,f55966]) ).
fof(f55966,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK87,X0)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
inference(resolution,[],[f22201,f16947]) ).
fof(f16947,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK87,v_ts),
inference(cnf_transformation,[],[f14669]) ).
fof(f22201,plain,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(cnf_transformation,[],[f13198]) ).
fof(f13198,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(flattening,[],[f13197]) ).
fof(f13197,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(ennf_transformation,[],[f8858]) ).
fof(f8858,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
=> c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X3,X4,X7,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X7,X4)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X7)
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cut) ).
fof(f20869,plain,
! [X2,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) ),
inference(cnf_transformation,[],[f12411]) ).
fof(f12411,plain,
! [X0,X1,X2] :
( c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) ),
inference(ennf_transformation,[],[f7978]) ).
fof(f7978,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0))
=> c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)),X4),X3))
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_asm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW311+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n031.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Apr 30 03:45:28 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (1442)Running in auto input_syntax mode. Trying TPTP
% 0.57/0.77 % (1497)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.57/0.78 % (1500)WARNING: value z3 for option sas not known
% 0.57/0.78 % (1498)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.57/0.78 % (1500)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)
% 0.57/0.78 % (1503)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)
% 0.57/0.78 % (1505)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)
% 0.57/0.78 % (1504)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)
% 0.57/0.78 % (1502)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 37.74/6.12 % (1504)First to succeed.
% 37.74/6.14 % (1504)Refutation found. Thanks to Tanya!
% 37.74/6.14 % SZS status Theorem for theBenchmark
% 37.74/6.14 % SZS output start Proof for theBenchmark
% See solution above
% 37.74/6.14 % (1504)------------------------------
% 37.74/6.14 % (1504)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 37.74/6.14 % (1504)Termination reason: Refutation
% 37.74/6.14
% 37.74/6.14 % (1504)Memory used [KB]: 56539
% 37.74/6.14 % (1504)Time elapsed: 5.354 s
% 37.74/6.14 % (1504)Instructions burned: 9015 (million)
% 37.74/6.14 % (1504)------------------------------
% 37.74/6.14 % (1504)------------------------------
% 37.74/6.14 % (1442)Success in time 5.786 s
%------------------------------------------------------------------------------