TSTP Solution File: SWW101+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW101+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 : n017.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 17:28:27 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 72 ( 40 unt; 0 def)
% Number of atoms : 149 ( 87 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 123 ( 46 ~; 43 |; 28 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 46 ( 40 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f846,plain,
$false,
inference(trivial_inequality_removal,[],[f845]) ).
fof(f845,plain,
false != false,
inference(superposition,[],[f201,f714]) ).
fof(f714,plain,
false = false2,
inference(forward_demodulation,[],[f713,f203]) ).
fof(f203,plain,
false = phi(false),
inference(resolution,[],[f145,f133]) ).
fof(f133,plain,
d(false),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( d(err)
& d(false)
& d(true) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_true_err_in_d) ).
fof(f145,plain,
! [X0] :
( ~ d(X0)
| phi(X0) = X0 ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( err = phi(X0)
& ~ d(X0) )
| ( phi(X0) = X0
& d(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_phi) ).
fof(f713,plain,
false2 = phi(false),
inference(forward_demodulation,[],[f674,f220]) ).
fof(f220,plain,
false = f7(false),
inference(forward_demodulation,[],[f219,f203]) ).
fof(f219,plain,
phi(false) = f7(false),
inference(forward_demodulation,[],[f216,f142]) ).
fof(f142,plain,
! [X0] : phi(X0) = lazy_impl(true,X0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] : phi(X0) = lazy_impl(true,X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : phi(X3) = lazy_impl(true,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom3) ).
fof(f216,plain,
f7(false) = lazy_impl(true,false),
inference(superposition,[],[f143,f207]) ).
fof(f207,plain,
true = prop(false),
inference(resolution,[],[f161,f196]) ).
fof(f196,plain,
bool(false),
inference(equality_resolution,[],[f156]) ).
fof(f156,plain,
! [X0] :
( bool(X0)
| false != X0 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( bool(X0)
| ( true != X0
& false != X0 ) )
& ( true = X0
| false = X0
| ~ bool(X0) ) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( bool(X0)
| ( true != X0
& false != X0 ) )
& ( true = X0
| false = X0
| ~ bool(X0) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( bool(X0)
<=> ( true = X0
| false = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_bool) ).
fof(f161,plain,
! [X0] :
( ~ bool(X0)
| true = prop(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( true = prop(X0)
| ~ bool(X0) )
& ( bool(X0)
| true != prop(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( true = prop(X0)
<=> bool(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_true) ).
fof(f143,plain,
! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X4] : f7(X4) = lazy_impl(prop(X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f7) ).
fof(f674,plain,
false2 = phi(f7(false)),
inference(backward_demodulation,[],[f193,f671]) ).
fof(f671,plain,
false = sK6,
inference(resolution,[],[f650,f200]) ).
fof(f200,plain,
forallprefers(false,true),
inference(equality_resolution,[],[f199]) ).
fof(f199,plain,
! [X0] :
( forallprefers(X0,true)
| false != X0 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| true != X1
| false != X0 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( forallprefers(X0,X1)
| ( ( true != X1
| false != X0 )
& ( ~ bool(X1)
| bool(X0)
| ~ d(X1)
| ~ d(X0) )
& ( ~ d(X1)
| d(X0) ) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( ( true = X1
& false = X0 )
| ( bool(X1)
& ~ bool(X0)
& d(X1)
& d(X0) )
| ( d(X1)
& ~ d(X0) ) )
=> forallprefers(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( forallprefers(X0,X1)
<=> ( ( true = X1
& false = X0 )
| ( bool(X1)
& ~ bool(X0)
& d(X1)
& d(X0) )
| ( d(X1)
& ~ d(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_forallprefers) ).
fof(f650,plain,
( ~ forallprefers(false,true)
| false = sK6 ),
inference(forward_demodulation,[],[f633,f218]) ).
fof(f218,plain,
true = f7(true),
inference(forward_demodulation,[],[f217,f202]) ).
fof(f202,plain,
true = phi(true),
inference(resolution,[],[f145,f132]) ).
fof(f132,plain,
d(true),
inference(cnf_transformation,[],[f3]) ).
fof(f217,plain,
phi(true) = f7(true),
inference(forward_demodulation,[],[f215,f142]) ).
fof(f215,plain,
f7(true) = lazy_impl(true,true),
inference(superposition,[],[f143,f206]) ).
fof(f206,plain,
true = prop(true),
inference(resolution,[],[f161,f195]) ).
fof(f195,plain,
bool(true),
inference(equality_resolution,[],[f157]) ).
fof(f157,plain,
! [X0] :
( bool(X0)
| true != X0 ),
inference(cnf_transformation,[],[f111]) ).
fof(f633,plain,
( ~ forallprefers(false,f7(true))
| false = sK6 ),
inference(superposition,[],[f222,f626]) ).
fof(f626,plain,
( true = sK6
| false = sK6 ),
inference(resolution,[],[f533,f200]) ).
fof(f533,plain,
( ~ forallprefers(false,true)
| true = sK6
| false = sK6 ),
inference(superposition,[],[f222,f444]) ).
fof(f444,plain,
! [X0] :
( true = f7(X0)
| true = X0
| false = X0 ),
inference(forward_demodulation,[],[f438,f139]) ).
fof(f139,plain,
! [X0] : true = lazy_impl(false,X0),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] : true = lazy_impl(false,X0),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3] : true = lazy_impl(false,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom2) ).
fof(f438,plain,
! [X0] :
( lazy_impl(false,X0) = f7(X0)
| true = X0
| false = X0 ),
inference(superposition,[],[f143,f279]) ).
fof(f279,plain,
! [X0] :
( false = prop(X0)
| true = X0
| false = X0 ),
inference(resolution,[],[f155,f159]) ).
fof(f159,plain,
! [X0] :
( bool(X0)
| false = prop(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ( false = prop(X0)
| bool(X0) )
& ( ~ bool(X0)
| false != prop(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( false = prop(X0)
<=> ~ bool(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_false) ).
fof(f155,plain,
! [X0] :
( ~ bool(X0)
| false = X0
| true = X0 ),
inference(cnf_transformation,[],[f111]) ).
fof(f222,plain,
~ forallprefers(false,f7(sK6)),
inference(superposition,[],[f194,f220]) ).
fof(f194,plain,
! [X1] : ~ forallprefers(f7(X1),f7(sK6)),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ! [X1] : ~ forallprefers(f7(X1),f7(sK6))
& false2 = phi(f7(sK6)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f109,f126]) ).
fof(f126,plain,
( ? [X0] :
( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
& false2 = phi(f7(X0)) )
=> ( ! [X1] : ~ forallprefers(f7(X1),f7(sK6))
& false2 = phi(f7(sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
? [X0] :
( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
& false2 = phi(f7(X0)) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
? [X0] :
( ~ ? [X1] : forallprefers(f7(X1),f7(X0))
& false2 = phi(f7(X0)) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
? [X4] :
( ~ ? [X9] : forallprefers(f7(X9),f7(X4))
& false2 = phi(f7(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false2) ).
fof(f193,plain,
false2 = phi(f7(sK6)),
inference(cnf_transformation,[],[f127]) ).
fof(f201,plain,
false != false2,
inference(forward_demodulation,[],[f128,f129]) ).
fof(f129,plain,
false = false1,
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
false = false1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false1) ).
fof(f128,plain,
false1 != false2,
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
false1 != false2,
inference(flattening,[],[f46]) ).
fof(f46,negated_conjecture,
false1 != false2,
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
false1 = false2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false1_false2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW101+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 02:37:48 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (25134)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (25137)WARNING: value z3 for option sas not known
% 0.15/0.37 % (25136)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (25138)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (25135)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (25140)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)
% 0.15/0.37 % (25139)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)
% 0.15/0.37 % (25137)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)
% 0.15/0.37 % (25141)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)
% 0.15/0.38 Detected minimum model sizes of [3]
% 0.15/0.38 Detected maximum model sizes of [max]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 Detected minimum model sizes of [3]
% 0.15/0.39 Detected maximum model sizes of [max]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 % (25140)First to succeed.
% 0.15/0.40 % (25140)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (25140)------------------------------
% 0.15/0.40 % (25140)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.40 % (25140)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (25140)Memory used [KB]: 1117
% 0.15/0.40 % (25140)Time elapsed: 0.024 s
% 0.15/0.40 % (25140)Instructions burned: 40 (million)
% 0.15/0.40 % (25140)------------------------------
% 0.15/0.40 % (25140)------------------------------
% 0.15/0.40 % (25134)Success in time 0.031 s
%------------------------------------------------------------------------------