TSTP Solution File: SEU614_8 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU614_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 15:35:06 EDT 2024
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 10 unt; 1 typ; 0 def)
% Number of atoms : 195 ( 27 equ)
% Maximal formula atoms : 9 ( 6 avg)
% Number of connectives : 149 ( 53 ~; 30 |; 29 &)
% ( 1 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 111 ( 75 fml; 36 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 1 >; 3 *; 0 +; 0 <<)
% Number of predicates : 10 ( 7 usr; 6 prp; 0-4 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 75 ( 66 !; 9 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_3,type,
sP0: ( $o * $i * $i * $i ) > $o ).
tff(f94,plain,
$false,
inference(equality_resolution,[],[f89]) ).
tff(f89,plain,
! [X0: $o] : ( $false != (X0) ),
inference(superposition,[],[f4,f82]) ).
tff(f82,plain,
! [X0: $o] : ( $true = (X0) ),
inference(resolution,[],[f81,f20]) ).
tff(f20,plain,
in(sK3,sK1),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( in(sK3,symdiff(sK1,sK2))
& in(sK3,sK2)
& in(sK3,sK1)
& symdiffE ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f10,f15]) ).
tff(f15,plain,
( ? [X0,X1,X2] :
( in(X2,symdiff(X0,X1))
& in(X2,X1)
& in(X2,X0) )
=> ( in(sK3,symdiff(sK1,sK2))
& in(sK3,sK2)
& in(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f10,plain,
( ? [X0,X1,X2] :
( in(X2,symdiff(X0,X1))
& in(X2,X1)
& in(X2,X0) )
& symdiffE ),
inference(flattening,[],[f9]) ).
tff(f9,plain,
( ? [X0,X1,X2] :
( in(X2,symdiff(X0,X1))
& in(X2,X1)
& in(X2,X0) )
& symdiffE ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,negated_conjecture,
~ ( symdiffE
=> ! [X0,X1,X2] :
( in(X2,X0)
=> ( in(X2,X1)
=> ~ in(X2,symdiff(X0,X1)) ) ) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
( symdiffE
=> ! [X0,X1,X2] :
( in(X2,X0)
=> ( in(X2,X1)
=> ~ in(X2,symdiff(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symdiffIneg1) ).
tff(f81,plain,
! [X0: $o] :
( ~ in(sK3,sK1)
| ( $true = (X0) ) ),
inference(resolution,[],[f80,f21]) ).
tff(f21,plain,
in(sK3,sK2),
inference(cnf_transformation,[],[f16]) ).
tff(f80,plain,
! [X0: $o] :
( ~ in(sK3,sK2)
| ~ in(sK3,sK1)
| ( $true = (X0) ) ),
inference(resolution,[],[f79,f22]) ).
tff(f22,plain,
in(sK3,symdiff(sK1,sK2)),
inference(cnf_transformation,[],[f16]) ).
tff(f79,plain,
! [X2: $i,X3: $i,X0: $o,X1: $i] :
( ~ in(X1,symdiff(X2,X3))
| ( $true = (X0) )
| ~ in(X1,X2)
| ~ in(X1,X3) ),
inference(resolution,[],[f37,f19]) ).
tff(f19,plain,
symdiffE,
inference(cnf_transformation,[],[f16]) ).
tff(f37,plain,
! [X2: $o,X3: $i,X0: $i,X1: $i] :
( ~ symdiffE
| ( $true = (X2) )
| ~ in(X0,symdiff(X1,X3))
| ~ in(X0,X1)
| ~ in(X0,X3) ),
inference(resolution,[],[f26,f24]) ).
tff(f24,plain,
! [X2: $i,X3: $i,X0: $o,X1: $i] :
( ~ sP0((X0),X1,X2,X3)
| ~ in(X2,X1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
! [X0: $o,X1,X2,X3] :
( ( ( $true != (X0) )
& ~ in(X2,X1)
& in(X2,X3) )
| ~ sP0((X0),X1,X2,X3) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
! [X3: $o,X1,X2,X0] :
( ( ( $true != (X3) )
& ~ in(X2,X1)
& in(X2,X0) )
| ~ sP0((X3),X1,X2,X0) ),
inference(nnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X3: $o,X1,X2,X0] :
( ( ( $true != (X3) )
& ~ in(X2,X1)
& in(X2,X0) )
| ~ sP0((X3),X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f26,plain,
! [X2: $i,X3: $o,X0: $i,X1: $i] :
( sP0((X3),X1,X2,X0)
| ~ in(X2,X0)
| ( $true = (X3) )
| ~ in(X2,symdiff(X0,X1))
| ~ symdiffE ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( ! [X0,X1,X2] :
( ! [X3: $o] :
( ( $true = (X3) )
| ( ( $true != (X3) )
& in(X2,X1)
& ~ in(X2,X0) )
| sP0((X3),X1,X2,X0) )
| ~ in(X2,symdiff(X0,X1)) )
| ~ symdiffE ),
inference(definition_folding,[],[f12,f13]) ).
tff(f12,plain,
( ! [X0,X1,X2] :
( ! [X3: $o] :
( ( $true = (X3) )
| ( ( $true != (X3) )
& in(X2,X1)
& ~ in(X2,X0) )
| ( ( $true != (X3) )
& ~ in(X2,X1)
& in(X2,X0) ) )
| ~ in(X2,symdiff(X0,X1)) )
| ~ symdiffE ),
inference(flattening,[],[f11]) ).
tff(f11,plain,
( ! [X0,X1,X2] :
( ! [X3: $o] :
( ( $true = (X3) )
| ( ( $true != (X3) )
& in(X2,X1)
& ~ in(X2,X0) )
| ( ( $true != (X3) )
& ~ in(X2,X1)
& in(X2,X0) ) )
| ~ in(X2,symdiff(X0,X1)) )
| ~ symdiffE ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
( symdiffE
=> ! [X0,X1,X2] :
( in(X2,symdiff(X0,X1))
=> ! [X3: $o] :
( ( in(X2,X0)
=> ( ~ in(X2,X1)
=> ( $true = (X3) ) ) )
=> ( ( ~ in(X2,X0)
=> ( in(X2,X1)
=> ( $true = (X3) ) ) )
=> ( $true = (X3) ) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
tff(f7,plain,
( symdiffE
<=> ! [X0,X1,X2] :
( in(X2,symdiff(X0,X1))
=> ! [X3: $o] :
( ( in(X2,X0)
=> ( ~ in(X2,X1)
=> ( $true = (X3) ) ) )
=> ( ( ~ in(X2,X0)
=> ( in(X2,X1)
=> ( $true = (X3) ) ) )
=> ( $true = (X3) ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
tff(f6,plain,
( symdiffE
= ( ! [X0,X1,X2] :
( in(X2,symdiff(X0,X1))
=> ! [X3: $o] :
( ( in(X2,X0)
=> ( ~ in(X2,X1)
=> (X3) ) )
=> ( ( ~ in(X2,X0)
=> ( in(X2,X1)
=> (X3) ) )
=> (X3) ) ) ) ) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
( symdiffE
= ( ! [X0,X1,X2] :
( in(X2,symdiff(X0,X1))
=> ! [X3: $o] :
( ( in(X2,X0)
=> ( ~ in(X2,X1)
=> (X3) ) )
=> ( ( ~ in(X2,X0)
=> ( in(X2,X1)
=> (X3) ) )
=> (X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symdiffE) ).
tff(f4,plain,
$true != $false,
introduced(fool_axiom,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU614_8 : TPTP v8.1.2. Released v8.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 20:56:48 EDT 2024
% 0.13/0.35 % CPUTime :
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% 0.19/0.48 % (18160)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.49 % (18296)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.49 Detected minimum model sizes of [1,1]
% 0.19/0.49 Detected maximum model sizes of [max,2]
% 0.19/0.49 TRYING [1,1]
% 0.19/0.49 TRYING [1,2]
% 0.19/0.49 TRYING [2,2]
% 0.19/0.49 TRYING [3,2]
% 0.19/0.49 % (18300)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)
% 0.19/0.49 TRYING [4,2]
% 0.19/0.49 % (18295)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.49 TRYING [5,2]
% 0.19/0.49 % (18298)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.49 % (18297)WARNING: value z3 for option sas not known
% 0.19/0.49 TRYING [1]
% 0.19/0.49 % (18299)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)
% 0.19/0.49 % (18301)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)
% 0.19/0.49 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.50 Detected minimum model sizes of [1,1]
% 0.19/0.50 Detected maximum model sizes of [max,2]
% 0.19/0.50 TRYING [6,2]
% 0.19/0.50 TRYING [1,1]
% 0.19/0.50 TRYING [1,2]
% 0.19/0.50 TRYING [2,2]
% 0.19/0.50 % (18300)First to succeed.
% 0.19/0.50 TRYING [3,2]
% 0.19/0.50 TRYING [4]
% 0.19/0.50 % (18297)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)
% 0.19/0.50 TRYING [4,2]
% 0.19/0.50 TRYING [5]
% 0.19/0.50 TRYING [7,2]
% 0.19/0.50 TRYING [5,2]
% 0.19/0.50 % (18300)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (18300)------------------------------
% 0.19/0.50 % (18300)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.50 % (18300)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (18300)Memory used [KB]: 770
% 0.19/0.50 % (18300)Time elapsed: 0.005 s
% 0.19/0.50 % (18300)Instructions burned: 6 (million)
% 0.19/0.50 % (18300)------------------------------
% 0.19/0.50 % (18300)------------------------------
% 0.19/0.50 % (18160)Success in time 0.141 s
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