TSTP Solution File: SYO506_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO506_8 : TPTP v8.2.0. Released v8.0.0.
% 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 May 21 09:11:59 EDT 2024
% Result : Theorem 0.08s 0.31s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 8 unt; 2 typ; 0 def)
% Number of atoms : 127 ( 51 equ)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 49 ( 24 ~; 17 |; 5 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 80 ( 78 fml; 2 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 2 >; 3 *; 0 +; 0 <<)
% Number of predicates : 6 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 3-3 aty)
% Number of variables : 56 ( 52 !; 4 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
c: ( $o * $i * $i ) > $i ).
tff(func_def_3,type,
bG0: ( $i * $i ) > $o ).
tff(f49,plain,
$false,
inference(subsumption_resolution,[],[f48,f16]) ).
tff(f16,plain,
! [X2: $i,X3: $i] : ( c($true,X2,X3) = X2 ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
( ! [X0,X1] : ( c($false,X0,X1) = X1 )
& ! [X2,X3] : ( c($true,X2,X3) = X2 )
& ( sK2 != c(bG0(sK2,sK1),sK1,sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f9,f11]) ).
tff(f11,plain,
( ? [X4,X5] : ( c(bG0(X5,X4),X4,X5) != X5 )
=> ( sK2 != c(bG0(sK2,sK1),sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f9,plain,
( ! [X0,X1] : ( c($false,X0,X1) = X1 )
& ! [X2,X3] : ( c($true,X2,X3) = X2 )
& ? [X4,X5] : ( c(bG0(X5,X4),X4,X5) != X5 ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( ~ ! [X0,X1] : ( c($false,X0,X1) = X1 )
| ~ ! [X2,X3] : ( c($true,X2,X3) = X2 )
| ! [X4,X5] : ( c(bG0(X5,X4),X4,X5) = X5 ) ),
inference(fool_elimination,[],[f5,f6]) ).
tff(f6,plain,
! [X5,X4] :
( ( X4 = X5 )
<=> ( $true = bG0(X5,X4) ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).
tff(f5,plain,
~ ( ~ ! [X0,X1] : ( c($false,X0,X1) = X1 )
| ~ ! [X2,X3] : ( c($true,X2,X3) = X2 )
| ! [X4,X5] : ( c(X4 = X5,X4,X5) = X5 ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ~ ! [X0,X1] : ( c($false,X0,X1) = X1 )
| ~ ! [X0,X1] : ( c($true,X0,X1) = X0 )
| ! [X0,X1] : ( c(X0 = X1,X0,X1) = X1 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ~ ! [X0,X1] : ( c($false,X0,X1) = X1 )
| ~ ! [X0,X1] : ( c($true,X0,X1) = X0 )
| ! [X0,X1] : ( c(X0 = X1,X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',claim) ).
tff(f48,plain,
sK1 != c($true,sK1,sK1),
inference(forward_demodulation,[],[f46,f18]) ).
tff(f18,plain,
! [X1: $i] : ( $true = bG0(X1,X1) ),
inference(equality_resolution,[],[f13]) ).
tff(f13,plain,
! [X0: $i,X1: $i] :
( ( $true = bG0(X0,X1) )
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f10]) ).
tff(f10,plain,
! [X0,X1] :
( ( ( X0 = X1 )
| ( $true != bG0(X0,X1) ) )
& ( ( $true = bG0(X0,X1) )
| ( X0 != X1 ) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,plain,
! [X0,X1] :
( ( X0 = X1 )
<=> ( $true = bG0(X0,X1) ) ),
inference(rectify,[],[f6]) ).
tff(f46,plain,
sK1 != c(bG0(sK1,sK1),sK1,sK1),
inference(superposition,[],[f15,f43]) ).
tff(f43,plain,
sK1 = sK2,
inference(subsumption_resolution,[],[f40,f17]) ).
tff(f17,plain,
! [X0: $i,X1: $i] : ( c($false,X0,X1) = X1 ),
inference(cnf_transformation,[],[f12]) ).
tff(f40,plain,
( ( sK2 != c($false,sK1,sK2) )
| ( sK1 = sK2 ) ),
inference(superposition,[],[f15,f33]) ).
tff(f33,plain,
! [X0: $i,X1: $i] :
( ( $false = bG0(X0,X1) )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f32]) ).
tff(f32,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( $false = bG0(X0,X1) ) ),
inference(superposition,[],[f14,f4]) ).
tff(f4,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f14,plain,
! [X0: $i,X1: $i] :
( ( $true != bG0(X0,X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f10]) ).
tff(f15,plain,
sK2 != c(bG0(sK2,sK1),sK1,sK2),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYO506_8 : TPTP v8.2.0. Released v8.0.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.29 % Computer : n017.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon May 20 09:33:38 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % (665)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.31 % (668)WARNING: value z3 for option sas not known
% 0.08/0.31 % (669)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.08/0.31 % (671)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)
% 0.08/0.31 % (668)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)
% 0.08/0.31 % (672)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)
% 0.08/0.31 % (667)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.08/0.31 % (670)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)
% 0.08/0.31 Detected minimum model sizes of [1,1]
% 0.08/0.31 Detected maximum model sizes of [max,2]
% 0.08/0.31 TRYING [1,1]
% 0.08/0.31 TRYING [1,2]
% 0.08/0.31 TRYING [2,2]
% 0.08/0.31 TRYING [3,2]
% 0.08/0.31 % (672)First to succeed.
% 0.08/0.31 Cannot enumerate next child to try in an incomplete setup
% 0.08/0.31 % (671)Also succeeded, but the first one will report.
% 0.08/0.31 % (669)Refutation not found, incomplete strategy% (669)------------------------------
% 0.08/0.31 % (669)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.08/0.31 % (669)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.31
% 0.08/0.31 % (669)Memory used [KB]: 729
% 0.08/0.31 % (669)Time elapsed: 0.004 s
% 0.08/0.31 % (669)Instructions burned: 4 (million)
% 0.08/0.31 % (666)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.08/0.31 % (669)------------------------------
% 0.08/0.31 % (669)------------------------------
% 0.08/0.31 % (672)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-665"
% 0.08/0.31 % (668)Also succeeded, but the first one will report.
% 0.08/0.31 % (672)Refutation found. Thanks to Tanya!
% 0.08/0.31 % SZS status Theorem for theBenchmark
% 0.08/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.31 % (672)------------------------------
% 0.08/0.31 % (672)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.08/0.31 % (672)Termination reason: Refutation
% 0.08/0.31
% 0.08/0.31 % (672)Memory used [KB]: 756
% 0.08/0.31 % (672)Time elapsed: 0.004 s
% 0.08/0.31 % (672)Instructions burned: 4 (million)
% 0.08/0.31 % (665)Success in time 0.017 s
%------------------------------------------------------------------------------